tag:blogger.com,1999:blog-49546293091432885162024-03-01T19:05:12.218-06:00 Equation Freak Reflections and sharing of an eighth grade math teacher.Jan Lichtenbergerhttp://www.blogger.com/profile/05944365143533012776noreply@blogger.comBlogger84125tag:blogger.com,1999:blog-4954629309143288516.post-36660873560211019632018-12-12T11:14:00.003-06:002019-01-12T23:13:56.225-06:00Properties Foldable<div class="separator" style="clear: both;">
<span style="font-family: "trebuchet ms" , sans-serif;">Hi everyone,</span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;"> Guess what? I'm back for awhile. Those of you who follow me know that I retired a year ago and haven't posted anything since then. Our family has been very busy with a wedding and a graduation. It was so nice to have the time to really enjoy and savor every moment of these very special times with our kids. So just as things were slowing down a bit, a friend of mine that I taught with for many many years called me to say she was going back to teaching after 7 years off. She wanted to use interactive notebooks with her classes but didn't know where to start so I told her I would help her in setting the notebooks and would create some foldables for her as well. So I decided to start blogging again about what we are doing. I've missed all of you!</span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;"> After deliberating long and hard and with the encouragement of my children I've also decided to start a<span style="color: blue;"> </span></span><b style="font-family: "trebuchet ms", sans-serif;"><i><a href="https://www.teacherspayteachers.com/Store/Equation-Freak" style="background-color: white; font-family: "trebuchet ms", sans-serif;" target="_blank"><span style="color: blue;">teachers pay teachers store</span></a></i></b><span style="color: blue; font-family: "trebuchet ms" , sans-serif;">. </span><span style="font-family: "trebuchet ms" , sans-serif;">When I was working my goal was to give everything away so teachers could use what I had created and it would not get thrown in the garbage. Well I accomplished that and am so happy so many teachers and parents are using my materials. Now my goal is to just pay for my paper and ink I use for printing and I am hoping that many of you will like what I have to sell. With that said, here is the first foldable that I made this year. Check out my store I have one freebie and four other listings. Lots to come I promise.</span></div>
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<span style="font-family: "georgia" , "times new roman" , serif;"><b>Enjoy,</b></span></div>
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<span style="font-family: "georgia" , "times new roman" , serif;"><b>Jan</b></span></div>
Jan Lichtenbergerhttp://www.blogger.com/profile/05944365143533012776noreply@blogger.com0tag:blogger.com,1999:blog-4954629309143288516.post-2507322154852915722017-08-24T00:01:00.000-05:002017-10-18T01:29:45.141-05:00Exponent Interactive Notebook pages<span style="font-family: "trebuchet ms" , sans-serif;">Hi everyone. Well it is official, I actually retired in June. During the summer I didn't feel any different but with the school year beginning last week, it now feels real. I'm looking forward to taking a fall vacation, something I could never do when I was teaching. </span><br />
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<span style="font-family: "trebuchet ms" , sans-serif;">As much as I wanted to do lots of posts last year it was just too hectic. But now I have the time to clear out the over 60 posts I started that are sitting in my draft box. So I will be coming back from time to time to share them. I know the first unit we covered in 8th grade was exponents so here are a couple of interactive notebook pages I made last year. These were used in my 8th grade Pre-Algebra classes. Enjoy!</span><br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjfG6Q3CR7hiPDjhyphenhyphenH0yaCpi0WacLoBynnSk1DcLFwclxUkGAo_hLnIGAD8Vh1SE2pPwQheYSOQsA9EBEKiI2qbUYTO7_LbnQXAXvRJjowgOa4j9f7VDniQ0Hh5VgVtHGfeSsZ6iplLn17B/s1600/exponents+1.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1143" data-original-width="1600" height="456" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjfG6Q3CR7hiPDjhyphenhyphenH0yaCpi0WacLoBynnSk1DcLFwclxUkGAo_hLnIGAD8Vh1SE2pPwQheYSOQsA9EBEKiI2qbUYTO7_LbnQXAXvRJjowgOa4j9f7VDniQ0Hh5VgVtHGfeSsZ6iplLn17B/s640/exponents+1.jpg" width="640" /></a></div>
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<span style="font-family: "trebuchet ms" , sans-serif;">My students enjoy coloring so I used numbers that could be filled in. They loved it! </span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;">(The arrow by the word base should be pointing to the 5, not away from it,) </span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiAy9QW5cxucMGh3UnxSJU_5otJ5kaqzhAUH5nJzMDJFU8BbesV8VygPgHy_v5pYZ_iGnOiLt1XEUNYyySmhW-aZI1gyYjbsIhroxkhxPdEg85EnZP7yxeZZ1dRKigvRNVkvS36rut-ypK0/s1600/exponents+2.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1600" data-original-width="1141" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiAy9QW5cxucMGh3UnxSJU_5otJ5kaqzhAUH5nJzMDJFU8BbesV8VygPgHy_v5pYZ_iGnOiLt1XEUNYyySmhW-aZI1gyYjbsIhroxkhxPdEg85EnZP7yxeZZ1dRKigvRNVkvS36rut-ypK0/s640/exponents+2.jpg" width="456" /></a></div>
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<span style="font-family: "trebuchet ms" , sans-serif;">Having the way you say these problems in written form was very</span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;"> helpful for my second language learners.</span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjIDpFrKoFzC9U6sCVTJqqCFDA9cFUj1JbnwKIZA5E6o4w827NNJx9smhnNZ1FEN7r2l1bcfX2qgHkmyz2ZJw2zxF0GyjIhcWd_JYcN8d525cmqJnmukIuDcY1Vtc2cVZuwSxmiE-YnM_UV/s1600/exponents+3.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1600" data-original-width="1143" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjIDpFrKoFzC9U6sCVTJqqCFDA9cFUj1JbnwKIZA5E6o4w827NNJx9smhnNZ1FEN7r2l1bcfX2qgHkmyz2ZJw2zxF0GyjIhcWd_JYcN8d525cmqJnmukIuDcY1Vtc2cVZuwSxmiE-YnM_UV/s640/exponents+3.jpg" width="456" /></a></div>
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<span style="font-family: "trebuchet ms" , sans-serif;">You could also cut the back page and make this a tri-fold foldable. My students needed help with the correct way to say each of these so I left the section with the verbal expressions showing. I know this seems elementary but my students always mixed up the last two types of problems. (Update... the bottom problem has been corrected on the download to (-2)^5.)</span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjO6KZeQb7ElRlXPUz5jlWT8jMddVzWhrvmTu4VRr79PFbxsTCGHLhFevGBFmrfOMm76IrRazlDJlwL4_81Cnc8YNG6jmWqZ32QjG7LPAhJWp1_9rlQtIZ16ulVcLmzm33qKPzBv-bE4MKJ/s1600/exponents+5.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1143" data-original-width="1600" height="456" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjO6KZeQb7ElRlXPUz5jlWT8jMddVzWhrvmTu4VRr79PFbxsTCGHLhFevGBFmrfOMm76IrRazlDJlwL4_81Cnc8YNG6jmWqZ32QjG7LPAhJWp1_9rlQtIZ16ulVcLmzm33qKPzBv-bE4MKJ/s640/exponents+5.jpg" width="640" /></a></div>
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<span style="font-family: "trebuchet ms" , sans-serif;">I like how this foldable turned out. </span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiFvJYsSqhDxR2AgTth48nAyw2RQRktUA9VYh73bL0WAjxIfV0f_AMc37D9jkMVodqhZdWfvrRUwOblVBGmbDhYpqaSlH9UVCIej1bVvsBQQ79VArAR0KZVbVdU8J0GiQlDN5gL2TI_JgGy/s1600/rally+coach+exponents.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1144" data-original-width="1600" height="456" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiFvJYsSqhDxR2AgTth48nAyw2RQRktUA9VYh73bL0WAjxIfV0f_AMc37D9jkMVodqhZdWfvrRUwOblVBGmbDhYpqaSlH9UVCIej1bVvsBQQ79VArAR0KZVbVdU8J0GiQlDN5gL2TI_JgGy/s640/rally+coach+exponents.jpg" width="640" /></a></div>
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<span style="font-family: "trebuchet ms" , sans-serif;">Then the kids reviewed their exponent rules using a Kagan Structure called Rally Coach. I must admit Rally Coach is my favorite Kagan Structure and I used it all the time with my students. It really gets kids talking about math which helps their understanding so much. See my previous post about Rally Coach <a href="https://equationfreak.blogspot.com/2015/01/rally-coach-kagan-structure-with-word.html" target="_blank"><span style="color: blue;"><b><i>HERE.</i></b></span></a></span><br />
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Download files here:</h3>
<a href="https://www.dropbox.com/s/6uaf6sm91quowny/Exponent%20Graphic%20organizer.pdf?dl=0" target="_blank"><span style="color: blue; font-family: "trebuchet ms" , sans-serif;"><b>Exponents - graphic organizer</b></span></a><br />
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<b><span style="color: blue; font-family: "trebuchet ms" , sans-serif;"><a href="https://www.dropbox.com/s/jtupdw6qi3l7q89/Exponents%20-%20Verbal%2C%20Expanded%20Form%20and%20Value%20Foldable%202.pdf?dl=0" target="_blank">Exponent foldable - Verbal and Written forms</a></span></b>
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<b><span style="font-family: "trebuchet ms" , sans-serif;"><span style="color: blue;"><a href="https://www.dropbox.com/s/xe6lslxr28j822j/RALLY%20COACH%20EXPONENT%20REVIEW.docx?dl=0" target="_blank">Rally Coach Exponent Review Cards</a></span></span></b><br />
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<b><span style="font-family: "trebuchet ms" , sans-serif;">Previous posts on exponents:</span></b><br />
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<span style="color: blue; font-family: "trebuchet ms" , sans-serif;"><b><a href="https://equationfreak.blogspot.com.au/2014/09/exponents-interactive-notebook-page.html" target="_blank"><span style="color: blue;">Exponents INB pages</span></a></b></span><br />
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<a href="https://equationfreak.blogspot.com/2014/09/a-few-more-exponent-interactive.html" target="_blank"><span style="color: blue; font-family: "trebuchet ms" , sans-serif;"><b>A few more exponent pages - INB</b></span></a><br />
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<span style="color: blue; font-family: "trebuchet ms" , sans-serif;"><b><a href="https://equationfreak.blogspot.com/2014/10/squares-cubes-and-fractional-exponents.html" target="_blank">Squares, Cubes and Fractional Exponents</a></b></span><br />
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<span style="font-family: "trebuchet ms" , sans-serif;">Have an amazing school year everyone!</span><br />
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<i><span style="font-family: "trebuchet ms" , sans-serif;">Til next time,</span></i></h3>
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<i><span style="font-family: "trebuchet ms" , sans-serif;">Jan</span></i></h3>
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<br />Jan Lichtenbergerhttp://www.blogger.com/profile/05944365143533012776noreply@blogger.com5tag:blogger.com,1999:blog-4954629309143288516.post-90860638546259684682017-02-08T22:50:00.000-06:002017-02-15T13:03:22.402-06:00Slope matching actvity<div class="separator" style="clear: both; text-align: center;">
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<span style="font-family: "trebuchet ms" , sans-serif;"> In Algebra we are working on Slope-Intercept Form. I'm trying to flip my two Algebra classes, but it is not as easy as it sounds to do this. My two classes are very different from each other. Actually they are polar opposites! My one class does all of the work I give them with only two students that I need to follow up with. My other Algebra class has about 3/4 of the class that do not do the work required and it is a daily struggle to keep them motivated and up to date on their work. They have been watching videos and completing their notes at home then we are doing activities to reinforce what they learned. What I am finding is that they may copy the notes but they don't read them for understanding. This is going to be a process but I'm going to continue until the end of the year. It is something that I've always wanted to try, so we will see how it goes.</span><br />
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<span style="font-family: "trebuchet ms" , sans-serif;"> Today we started this slope-intercept matching activity from </span><span style="font-family: "trebuchet ms" , sans-serif;"><b style="color: blue; font-family: "trebuchet ms", sans-serif; font-style: italic;"><a href="https://www.teacherspayteachers.com/Product/MATCH-Slope-Intercept-Form-Puzzle-1440143" target="_blank">Math Giraffe at teacherspayteachers.com</a>. </b><span style="color: blue; font-style: italic;"><span style="font-family: "trebuchet ms" , sans-serif;">How I love<span style="color: blue; font-style: italic;"> </span><a href="https://www.teacherspayteachers.com/" style="color: blue; font-style: italic;" target="_blank">teacherspayteachers.com</a><span style="color: blue; font-style: italic;">.</span><b> </b>I can make great foldables but not these activities. This one is well worth the price.</span></span><b style="color: blue; font-family: "trebuchet ms", sans-serif; font-style: italic;"> </b><span style="font-family: "trebuchet ms" , sans-serif;">Students match graphs, slope and y-intercepts and equations. The only thing I added to this activity was to number the graphs from 1-10 so they could put the first ten in order to make it easier for grading. Everyone was talking and working hard today and that makes it a good day.</span></span><br />
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<span style="font-family: "trebuchet ms" , sans-serif;">I don't know why they will not clear their desks off so they have room to work. Why????</span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;">I prefer to have partners for this but when there is an odd number we have one </span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;">group of three. Great collaboration with this group.</span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;">There is a template included for the pieces to be glued to but </span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;">Deep concentration here. I love it:)</span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;"> This is a short quick post but I am trying to stay to my three post per week. So far I'm on track for this week. YES!!! I am having so much fun this quarter and my students are loving this too. I'm hoping that the videos and notes get better. This quarter is flying by. Wow.</span><br />
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<span style="font-family: "trebuchet ms" , sans-serif;">Til next time,</span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;">Jan</span></div>
Jan Lichtenbergerhttp://www.blogger.com/profile/05944365143533012776noreply@blogger.com2tag:blogger.com,1999:blog-4954629309143288516.post-75966457714081303622017-02-07T23:59:00.000-06:002020-01-31T12:07:04.374-06:00Combining Like Terms and Distributive Property Interactive Notebook Pages<b style="font-family: "trebuchet ms", sans-serif;"> </b><br />
<b style="font-family: "trebuchet ms", sans-serif;"> Last week, in my Pre-Algebra classes we learned about like and unlike terms. We completed this foldable from </b><span style="color: blue; font-family: "trebuchet ms" , sans-serif;"><b><a href="http://everybodyisageniusblog.blogspot.com/search?q=combining+like+terms" style="color: blue; font-style: italic;" target="_blank">Sarah at everybody is a genius</a><span style="color: blue;"><i> </i></span></b></span><span style="font-family: "trebuchet ms" , sans-serif;"><b> on combining like terms. All of the foldables on this page require no prep work. The students do all the cutting, writing and folding.</b></span><br />
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<span style="font-family: "trebuchet ms" , sans-serif;"><b>These are pages I have used with my students in the past. I spruced them up a bit to look better. I like how this page turned out. These are matchbook foldables and I love them because they are small and we use up lots of my leftover bits of paper.</b></span><br />
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<b style="font-family: "trebuchet ms", sans-serif;">We completed the foldable below from </b><span style="color: blue; font-family: "trebuchet ms" , sans-serif;"><b><a href="http://everybodyisageniusblog.blogspot.com/search?q=combining+like+terms" style="color: blue; font-style: italic;" target="_blank">Sarah at everybody is a genius</a><span style="color: blue;"><i> </i></span></b></span><span style="font-family: "trebuchet ms" , sans-serif;"><b> combining like terms. I like how Sarah has the students place lines before all of the + and - signs to separate the terms. This is such a great visual for my students and really helps my struggling students. </b></span><br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhsYmZq0wRUzKekN3_vt_vdNM9y_Wu6P-N3T8HXQmRXv5Bq2UGzXmlTr2ZyIsJq6wYOOrEFgPan36UI0LizoPwhT8JN8JmWS5RyseWOV_QeI4CYdL6OWK5H-N_xXm2v_W36dOYywoCuW1aB/s1600/foldable.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="258" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhsYmZq0wRUzKekN3_vt_vdNM9y_Wu6P-N3T8HXQmRXv5Bq2UGzXmlTr2ZyIsJq6wYOOrEFgPan36UI0LizoPwhT8JN8JmWS5RyseWOV_QeI4CYdL6OWK5H-N_xXm2v_W36dOYywoCuW1aB/s640/foldable.jpg" width="640" /></a></div>
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<b style="font-family: "trebuchet ms", sans-serif;">Then we did a work page for the other side of our interactive notebooks. I did this as a guided practice with them. The problems are all a little different so there was lots of review for them over integer rules and like and unlike terms. We places the lines in front of all the + and - signs like in the foldable. They understood it!</b><br />
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<span style="font-family: "trebuchet ms" , sans-serif;"><b>The next day we learned about the distributive property. We wrote a Frayer Model vocabulary model, did several problems together practicing the steps. On the third day we completed our distributive property foldable where we added combining like terms. Love this page:)</b></span><br />
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<span style="font-family: "trebuchet ms" , sans-serif;"><b>I'm sure you can come up with a better Frayer Model than this.</b></span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;"><b> I think I could improve the definition and facts.</b></span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;"><b><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjiQ0zg0WbbBILI34gDWa4FMFrHGpyhrdBYdfdgmavtuGCagRsvz6LN02UJ-K_NFHN0bCrbfC3S2ioZJYpodqVMba8i_2_hGlw5_vXJUmXkPLtdbFu4NjXYHdnOo3kbGH3LT5V8S1CkWddW/s1600/dp+frayer+model.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="340" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjiQ0zg0WbbBILI34gDWa4FMFrHGpyhrdBYdfdgmavtuGCagRsvz6LN02UJ-K_NFHN0bCrbfC3S2ioZJYpodqVMba8i_2_hGlw5_vXJUmXkPLtdbFu4NjXYHdnOo3kbGH3LT5V8S1CkWddW/s640/dp+frayer+model.jpg" width="640" /></a></b></span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;"><b>This page was great. My students always get so mad at me because I MAKE them write down the distributive property the long way and not just using arrows. I find it helps them to make less mistakes on signs when they write it all out. </b></span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;"><b><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiAlKQcsVzL26DXjSBLTAV_ORSNVNP0KDWyoZqFgf_z46-j52FYL_ZNrfjzhBaMelmBssSV3pemybdztf48K-_AE_zOOHOfwbvBd-0GKjBe7WL71C2pIOb6m_Jmhidln3MsQUrNnSe-ibFo/s1600/distributive+property+graphic+organizer.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiAlKQcsVzL26DXjSBLTAV_ORSNVNP0KDWyoZqFgf_z46-j52FYL_ZNrfjzhBaMelmBssSV3pemybdztf48K-_AE_zOOHOfwbvBd-0GKjBe7WL71C2pIOb6m_Jmhidln3MsQUrNnSe-ibFo/s640/distributive+property+graphic+organizer.jpg" width="418" /></a></b></span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;"><b>I saw a foldable like this somewhere and I never made one like this before. Of course, I had to make it. It took awhile but finally everything lined up and it turned out great.</b></span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;"><b>The problems increase in difficulty as you go and the kids did a great job on this. I'm doing the happy dance because they never can understand the types of problems on the bottom and this year they did!</b></span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;"><b><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgeW2wMOE2hQgHhXqJWQSfGD7XxjNJGVGYT-M6nqgzClTJaax7pPVazCbv4A82JXC-rNjdtQ5R0zEdNfaBMriyOvbJ0Ao73Fpmc2yADdvWBVi71BScba05O8bquDd7g25EyHvLhNFR8oIcW/s1600/Distributive+property+outside+of+foldable.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="358" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgeW2wMOE2hQgHhXqJWQSfGD7XxjNJGVGYT-M6nqgzClTJaax7pPVazCbv4A82JXC-rNjdtQ5R0zEdNfaBMriyOvbJ0Ao73Fpmc2yADdvWBVi71BScba05O8bquDd7g25EyHvLhNFR8oIcW/s640/Distributive+property+outside+of+foldable.jpg" width="640" /></a></b></span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;"><b><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiStiqlLK3LpnyUyNal9gtIWxHMKwYWdhyphenhyphenoVchxwBeC0evmGsrBiOdVLzQA4S7_SJ0P_rVyNPmXRZjfLA1oTTMkFwTgtEE6NZWdquKh_hRBPgtTBAcpZGXpO_yTf1_E9MDe-UxpzRF3qkz7/s1600/distributive+property+inside+foldable.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiStiqlLK3LpnyUyNal9gtIWxHMKwYWdhyphenhyphenoVchxwBeC0evmGsrBiOdVLzQA4S7_SJ0P_rVyNPmXRZjfLA1oTTMkFwTgtEE6NZWdquKh_hRBPgtTBAcpZGXpO_yTf1_E9MDe-UxpzRF3qkz7/s640/distributive+property+inside+foldable.jpg" width="550" /></a></b></span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;"><b>Hope your are enjoying my last semester journey with me. </b></span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;"><b>70 days to go til retirement.</b></span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;"><b>Download files here:</b></span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;"><b><a href="https://www.dropbox.com/s/ligaj6136byqmrj/Like%20terms%20practice%20sheet.pdf?dl=0" target="_blank">Like Terms work page</a></b></span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;">Go to my teachers pay teachers store for </span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;"><a href="https://www.teacherspayteachers.com/Product/Distributive-Property-foldable-and-graphic-organizer-5174004" target="_blank"><b><span style="color: blue;">Distributive Property Foldable and Graphic Organizer pages</span></b></a></span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;"><b> Til next time,</b></span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;"><b>Jan</b></span></div>
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Jan Lichtenbergerhttp://www.blogger.com/profile/05944365143533012776noreply@blogger.com0tag:blogger.com,1999:blog-4954629309143288516.post-40497723362035852352017-02-05T01:05:00.001-06:002017-02-05T01:21:02.641-06:00Similar Figures Foldable, Matching Activity and a Rally Coach structure<span style="font-family: "helvetica neue" , "arial" , "helvetica" , sans-serif;"> </span><span style="font-family: "trebuchet ms" , sans-serif;"><b> I made a goal to write a post everyday until the end of the school year. Well, that lasted for a total of one day. It amazes me that people can do that! I just can't find the time. Now my new more realistic goal is three times a week. They may be short posts or they might be all pictures but I will post them. </b></span><br />
<span style="font-family: "trebuchet ms" , sans-serif;"><b> In 8th grade Pre-Algebra we finished studying Similarity. I'm pleased with how well my students are working on their interactive notebooks. Being able to cut, color, tape and assemble our foldables is such a wonderful sensory activity. It benefits so many of my students who are hands on learners and many of my ADHD kids. Then there are my creative girls who come to class with big smiles and pencil cases full of colored pencils and markers ready to begin class. I provide colored pencils and markers for them but these girls love to add special touches with their supplies. On my foldables I've been adding area that they can color in if they like. This is great for those who can copy quickly as they can color while they wait a minute for some other students to finish copying. If you haven't tried using foldables as part of your instruction I strongly encourage you to try some. It will take the kids time to get use to cutting quickly but they get much better at this skill as the year goes on. Also adding some fast music in the background helps them to cut and work faster as well. I always put on Twist and Shout, they want rap but I tell them they have to listen to my music. They like it.</b></span><br />
<span style="font-family: "trebuchet ms" , sans-serif;"><b> Here is the foldable that we did on Similar Figures. I like how it turned out. Maybe a few more word problems but we had a work page of word problems that we put next to this foldable. I can't tell you where this work page is from. I've had it forever and love it.</b></span><br />
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<span style="font-family: "trebuchet ms" , sans-serif;"><b><b style="font-family: "trebuchet ms", sans-serif;"> Next, we went over some vocabulary and some basic problems. I reviewed proportions with them as well as one step equations. </b></b></span></div>
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<b style="font-family: "trebuchet ms", sans-serif;">Then we went discussed shapes that had to be rotated </b></div>
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<b style="font-family: "trebuchet ms", sans-serif;">to find the corresponding sides. </b></div>
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<b style="font-family: "trebuchet ms", sans-serif;">(Uh oh, I forgot to finish a problem. UGH!)</b></div>
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<b style="font-family: "trebuchet ms", sans-serif;">Coloring the corresponding sides helped many of my students </b></div>
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<b style="font-family: "trebuchet ms", sans-serif;">who struggle with this concept.</b></div>
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<b style="font-family: "trebuchet ms", sans-serif;"> Then in groups the students did this matching activity that is free at<span style="color: blue;"> </span></b><span style="font-family: "trebuchet ms" , sans-serif;"><span style="color: blue; font-family: "trebuchet ms" , sans-serif; font-style: italic; font-weight: bold;"><a href="https://www.teacherspayteachers.com/FreeDownload/Proportional-and-Similar-Figure-Matching-1075274" target="_blank">teachers pay teachers by Mrs. Slick</a>. </span><span style="color: #444444; font-family: "trebuchet ms" , sans-serif; font-weight: bold;">They had fun with this activity. I had each group work with me at the table for a few minutes. I started with my lowest group so I knew that they understood what to do. Then I walked around and watched the fun.</span></span><br />
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<span style="font-family: "trebuchet ms" , sans-serif;"><b> I was thrilled to find the resources in the link below from Utah Education Network. I used the Rally Coach activity on similar triangles from them. See previous post on how to use a rally coach structure in your classroom. Kagan Structures are different from how the Utah site explains it. I thought it would be easy for them, but as they did the activity it became obvious that my kids needed easier problems. I would go back and redo it for the kids I teach. There are lots of great resources at this site. Unfortunately, I didn't have time to use more of them.</b></span><br />
<span style="font-family: "trebuchet ms" , sans-serif;"><b><br /></b></span><span style="font-family: "trebuchet ms" , sans-serif;"><b>Downloads and Links:</b></span><br />
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<span style="color: purple; font-family: "trebuchet ms" , sans-serif;"><b><i><u> <a href="https://www.dropbox.com/s/aadwvb5p5i9ajda/Similar%20Figures%20foldable%20final.docx?dl=0" target="_blank">Similar Figures foldable</a></u></i></b></span><br />
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<span style="color: purple; font-family: "trebuchet ms" , sans-serif;"><b><i><a href="https://www.dropbox.com/s/musej11zu4705qd/Four%20word%20problems%20similar%20figures.pdf?dl=0" target="_blank">Work page four word problems</a></i></b></span><br />
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<span style="font-family: "trebuchet ms" , sans-serif;"><b><i>Similar Figures - Rally Coach, </i></b></span><b style="font-family: "Trebuchet MS", sans-serif;"><i><a href="http://www.uen.org/Lessonplan/preview.cgi?LPid=23525" target="_blank">Utah Education Network</a></i></b></span></u><br />
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<b><i><span style="font-family: "trebuchet ms" , sans-serif;">Til next time, (Hopefully tomorrow.)</span></i></b></div>
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<b><i><span style="font-family: "trebuchet ms" , sans-serif;">Jan</span></i></b></div>
Jan Lichtenbergerhttp://www.blogger.com/profile/05944365143533012776noreply@blogger.com0tag:blogger.com,1999:blog-4954629309143288516.post-83711652687796232992017-01-31T00:51:00.000-06:002017-01-31T23:12:07.432-06:00Day 77 and the FUN begins<b> I</b><span style="font-family: "trebuchet ms" , sans-serif;"><b>n yesterday's post I told you that I would be sharing what I am doing in my 8th grade Pre-Algebra and Algebra classes everyday until I retire at the end of this school year. So here we go...</b></span><br />
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<span style="font-family: "trebuchet ms" , sans-serif;"><b> In Pre-Algebra we started like and unlike terms. I pulled out my container that has pieces of colored paper that I have saved over the year and we made these foldables. See this post:<span style="color: magenta;"><i> </i></span><a href="https://equationfreak.blogspot.com/2014/08/like-terms-unlike-terms-foldable.html" target="_blank"><i><span style="color: blue;">Like terms, Unlike terms INB</span></i> <span style="color: blue;"><i>pages</i></span></a><span style="color: blue;"><i>.</i></span> </b></span><br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiaE7uL1Il5nx7Sbd6DoxQknCDirCbQyXbuXs5LE3PCrzNoGAvqHr3Qq0TxcBOLIDXCxNqxtsajeqmiAzT3mrn-TLu66cUhlwjwDFF1Cl2Xbajbboz_GkBNR1VxCbmAA23LT2Jl_tuU81Qs/s1600/Like+terms+pg+1.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiaE7uL1Il5nx7Sbd6DoxQknCDirCbQyXbuXs5LE3PCrzNoGAvqHr3Qq0TxcBOLIDXCxNqxtsajeqmiAzT3mrn-TLu66cUhlwjwDFF1Cl2Xbajbboz_GkBNR1VxCbmAA23LT2Jl_tuU81Qs/s640/Like+terms+pg+1.jpg" width="478" /></a></div>
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<span style="font-family: "trebuchet ms" , sans-serif;"><b>After we did the top of the notebook page the students did a Rally Coach activity with this worksheet at teacherspayteachers.com:<span style="color: blue;"> </span><i><a href="https://www.teacherspayteachers.com/Product/Race-to-the-Top-Combining-Like-Terms-Edition-293086" target="_blank"><span style="color: blue;">Race to the top</span></a><span style="color: magenta;"> </span><span style="color: blue;">from Kathryn Goodhart at teachers pay teachers.</span></i></b></span><b><i><span style="color: blue;"> </span></i></b><br />
<span style="background-color: white; font-family: "trebuchet ms" , sans-serif; font-size: 15.84px;"><b><span style="color: #191919;"> If you are not familiar with the Rally Coach </span><i><a href="http://www.kaganonline.com/free_articles/research_and_rationale/330/The-Essential-5-A-Starting-Point-for-Kagan-Cooperative-Learning" target="_blank"><span style="color: blue;">Kagan Structure</span></a></i><span style="color: #191919;"> I will try my best to explain it to you. First of all, the students in our classrooms are in groups of four, sometimes a group of three if there is an odd number of students. They have shoulder partners and face partners for group work. </span></b></span><span style="background-color: white; color: #191919; font-family: "trebuchet ms" , sans-serif; font-size: 15.84px;"><b>For the Rally Coach structure, students work with their shoulder partners. The explanation given from the teacher is important because social and group expectations are a huge part of Kagan. First, you explain what you want the students to do and the behavioral expectations for the group. Next, you let the kids know what behaviors you don't want to see and lastly model the expected behaviors. </b></span><br />
<span style="background-color: white; color: #191919; font-family: "trebuchet ms" , sans-serif; font-size: 15.84px;"><b><br /></b></span><span style="background-color: white; color: #191919; font-family: "times new roman" , "times" , "freeserif" , serif; font-size: 15.84px;"></span><span style="background-color: white; color: #191919; font-family: "trebuchet ms" , sans-serif; font-size: 15.84px;"><b>Here is what a Rally Coach looks like:</b></span><br />
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<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><b style="font-family: "Trebuchet MS", sans-serif;">One of the partners is given a question that has only one correct answer. That's easy to do in math. </b></li>
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><b style="font-family: "Trebuchet MS", sans-serif;">There is also only one piece of paper and one pencil for the pair. </b></li>
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><b style="font-family: "Trebuchet MS", sans-serif;">Partner A solves the problem explaining their reasoning to Partner B. </b></li>
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><b style="font-family: "Trebuchet MS", sans-serif;">Partner B coaches Partner A if they need help and also affirms the work they are doing correctly. </b></li>
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><b style="font-family: "Trebuchet MS", sans-serif;">If the answer is not correct, Partner B coaches Partner A to arrive at the correct answer. </b></li>
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><b style="font-family: "Trebuchet MS", sans-serif;">Once they agree on the answer, the teacher checks it, and gives positive affirmations to the students or suggestions on what to change. ( I didn't check each problem but walked around checking their answers as they were working.)</b></li>
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><b style="font-family: "Trebuchet MS", sans-serif;">When the pair has the correct answer the teacher hands a new problem to Partner B. (For this activity all the problems were on the paper and students just moved back and forth between partners.)</b></li>
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><b style="font-family: "Trebuchet MS", sans-serif;">The students switch roles and repeat the process.</b></li>
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<span style="color: #191919; font-family: "trebuchet ms" , sans-serif;"><span style="font-size: 15.84px;"><b>Well, we started this but did not finish by the end of the period. That was 1st hour. When my 4th and 8th hour Pre-Algebra class came in half of the classes were absent due to ACCESS testing. I guess I should have read the email sooner, I wouldn't have planned a new lesson for today but, oh well, I will have to catch up with the others tomorrow.</b></span></span></div>
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<span style="color: #191919; font-family: "trebuchet ms" , sans-serif;"><span style="font-size: 15.84px;"><b> In my Algebra classes I wanted the students to discover how to graph horizontal and vertical lines with their partners. I handed them this sheet and they worked with their partners to graph these. Of course, when they looked at it they had no idea how to graph these. We talked about making a table and listing pairs of points and then graphing them. It took them a while but they started to get it on their own. That makes me smile. After the first few they wanted to know if they still needed to make tables and no they could use the rule they discovered. Tomorrow we will do our HOY and VUX graphic organizer. </b></span></span></div>
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<span style="color: #191919; font-family: "trebuchet ms" , sans-serif;"><span style="font-size: 15.84px;"><b>Download the <a href="https://www.dropbox.com/s/vyqjqzefap7qik8/Horizontal%20and%20vertical%20line%20graphs.pdf?dl=0" target="_blank">Graphing horizontal and vertical lines</a> here.</b></span></span></div>
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<span style="color: #191919; font-family: "trebuchet ms" , sans-serif;"><span style="font-size: 15.84px;"><b>Well that's it for today. See you tomorrow.</b></span></span></div>
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<span style="color: #191919; font-family: "trebuchet ms" , sans-serif;"><span style="font-size: 15.84px;"><b>Jan</b></span></span></div>
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Jan Lichtenbergerhttp://www.blogger.com/profile/05944365143533012776noreply@blogger.com0tag:blogger.com,1999:blog-4954629309143288516.post-27287109875450010402017-01-28T09:10:00.003-06:002017-01-28T09:14:38.375-06:00Only 77 days to go! <div style="text-align: left;">
The countdown has begun. I have only 77 more teaching days with my students until I retire. I have decided to let you follow me in my last semester and to write a daily post to tell you what we are doing in class. There are so many things I want to do with my students that I have never tried like stations and a flipped classroom. These are the two that I have decided to do for the rest of the year. It's now or never so enjoy the journey with me. I'm also pulling out all of my fun activities I have taught over the years to teach one more time. Please leave suggestions or comments and any resources that you have found helpful that I could use. </div>
Here's the plan. On Monday, I am going to talk with all of my classes and let them in on the changes that will be happening. In my two Algebra classes I am going to explain how we are going to flip our class. Many of my students do not have Internet access at home and their phones have limited data, so if they cannot watch the videos at home they can come to my classroom before or after school or eat lunch in my room and watch the videos. I don't have the time or energy to make all these videos so I'm starting with the videos that come with our book or using Khan Academy.<br />
In my 3 Pre-Algebra classes we are occasionally going to flip the class but it will be an activity based learning experience and of course lots of foldables. This is going to be a challenge especially with my last period class. However, I am determined that we are going to succeed and I know if it engaging they will love it. I can't wait to get started so sit back and enjoy the ride with me.<br />
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Til next time,</div>
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Jan </div>
Jan Lichtenbergerhttp://www.blogger.com/profile/05944365143533012776noreply@blogger.com5tag:blogger.com,1999:blog-4954629309143288516.post-91873023849618744862017-01-16T14:55:00.000-06:002017-01-18T23:22:11.027-06:001 - 100 game group activity for 100% engagement<div class="separator" style="clear: both; text-align: left;">
<span style="font-family: "trebuchet ms" , sans-serif;"><span style="background-color: white;">I'm catching up on posts that have been sitting in my draft box forever. This is an activity that I did at the beginning of the school year. It was so much fun.😊</span></span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;"><span style="background-color: white;">On twitter I saw a tweet from </span><span style="color: blue;"><span style="background-color: white;"><b> </b></span></span></span><i style="font-family: "trebuchet ms", sans-serif;"><span style="background-color: white;"><a href="https://mathybeagle.com/2015/12/02/making-groups-work/" target="_blank"><b>Megan Schmidt @Vegan Math Beagle</b></a> a</span></i><span style="font-family: "trebuchet ms" , sans-serif;"><span style="background-color: white;">bout this activity by Sara Van Der Werf and I decided to use it the second week of school. </span></span><span style="background-color: white; font-family: "trebuchet ms" , sans-serif;">At the beginning of the school year I always do group activities for students that are fun and get the kids talking and working together. </span><span style="background-color: white; font-family: "trebuchet ms" , sans-serif;">OK, I had way too much fun doing this activity with my kids in all of my 8th grade math classes.</span><span style="background-color: white; font-family: "trebuchet ms" , sans-serif;"> </span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;"><span style="background-color: white;">I changed Sara's directions slightly. I did four rounds instead of three. I had some groups of four and some groups of three. It was much easier for the groups of four to see the pattern than the groups of three. </span></span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;"><span style="background-color: white;">I passed out this sheet from<b><i> <a href="http://saravanderwerf.com/2015/12/07/100-numbers-to-get-students-talking/" target="_blank">Sara Van Der Werf -1 to 100 game</a> </i></b>to each group.</span></span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi2GrYnA2Sei3xJzcn9UPvUMknkis8oDERUAt-MsjGWRbEShz7G2FW1d7T-4iPoq2RP3ZLP5KNofQCrR9zqqyLs2dbJn7cvKJwrmNv8-u6t_XWScf2xcciMzscX8Wcbd7oi8Jw4P3wwfUcm/s1600/100-number.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="244" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi2GrYnA2Sei3xJzcn9UPvUMknkis8oDERUAt-MsjGWRbEShz7G2FW1d7T-4iPoq2RP3ZLP5KNofQCrR9zqqyLs2dbJn7cvKJwrmNv8-u6t_XWScf2xcciMzscX8Wcbd7oi8Jw4P3wwfUcm/s320/100-number.png" width="320" /></a></div>
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<span style="font-family: "trebuchet ms" , sans-serif;"><span style="background-color: white;">Each student had a different color highlighter and they had to highlight the numbers from one to one hundred by taking turns going in a circle. I set the timer for 3 minutes and then they furiously started to work. This is repeated three times. Sara has very explicit directions that are in the link below. I love it when I have a script the first time I do an activity.</span></span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;"><span style="background-color: white;">By the end of the period the kids were screaming with delight. There were smiles everywhere. This was a great way to introduce how to work together in a group. </span></span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;"><span style="background-color: white;"><span style="background-color: white;">You can download all of the directions and worksheets here,<b> </b></span></span></span><span style="background-color: white; font-family: "trebuchet ms", sans-serif;"><span style="color: blue;"><b>S</b></span></span><span style="font-family: "trebuchet ms", sans-serif; text-align: center;"><i style="background-color: white;"><a href="https://saravanderwerf.com/2015/12/07/100-numbers-to-get-students-talking/" target="_blank"><span style="color: blue;"><b>ara Van Der Werf- 1 to 100</b></span><span style="color: purple; font-weight: bold;"> </span><b><span style="color: blue;">game</span></b></a><b><span style="color: blue;">.</span></b></i></span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;">When we started the kids were sitting in their seats, </span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;">passing the paper and they were calm.</span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;">Yes this group was taking their time looking for the numbers.</span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;"><span style="font-family: "trebuchet ms" , sans-serif;">Then they started to stand up to get closer to the paper</span>. </span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;">At his point most groups realized that passing the paper was wasting time </span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;">so they kept the paper in one place and huddled over it.</span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;">They started pointing and helping each other as time got shorter.</span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;">This group finally decided they needed to get the desks out of the way</span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;"> and they sat on the floor.</span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;">I love this activity and taking lots of pictures from each class added to the fun. It was also a great way for them to see what working together looks like. This is a keeper for sure. Thanks Sara for sharing this.</span><br />
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<i><span style="font-family: "georgia" , "times new roman" , serif;">Til next time,</span></i></h3>
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<i><span style="font-family: "georgia" , "times new roman" , serif;">Jan</span></i></h3>
Jan Lichtenbergerhttp://www.blogger.com/profile/05944365143533012776noreply@blogger.com1tag:blogger.com,1999:blog-4954629309143288516.post-19755459271895282292016-12-30T23:43:00.000-06:002016-12-31T09:12:29.009-06:00My favorite project - 3rd and last year<span style="font-family: "georgia" , "times new roman" , serif;"><span style="font-family: "georgia" , "times new roman" , serif;"> </span><span style="font-family: "trebuchet ms" , sans-serif;"> This is the third year that my students have completed my Transformation <span style="background-color: white;">Summative </span>Assessment Project. See my previous posts <a href="https://equationfreak.blogspot.com/2014/12/transformations-summative-assessment.html" target="_blank"><span style="color: blue;"><i><b>Here, year one</b></i></span>,</a> and <span style="color: blue; font-style: italic;"><b style="color: blue; font-style: italic;"><a href="https://equationfreak.blogspot.com/2015/12/my-favorite-project-year-2.html" style="color: blue; font-style: italic;" target="_blank">Here, year two</a>, </b>for examples, details and the rubric for this project.<i> </i></span>And yes, you read correctly,this is the last year I will be doing this project. It makes me sad 😓 because I have so much fun watching the students complete these. I am retiring at the end of the school year and I am happy that so many people have enjoyed and used this as an assessment with their students.</span></span><br />
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<span style="font-family: "trebuchet ms" , sans-serif;"><span style="font-family: "georgia" , "times new roman" , serif;"><span style="font-style: italic;"></span> This y</span><span style="font-family: "georgia" , "times new roman" , serif;">ear the weather did not cooperate and we had a cold day off of school when the wind chill was -23°F. That means that we had one less day to work on the project. UGH! Many of these have errors on them but I wanted to show you some of the best ones from my three 8th grade Pre-Algebra classes. I think they did a great job considering the fact that they lost one day of class time to work on them.</span></span><br />
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Pizza was a popular picture this year. This is an awesome picture.</h3>
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Love this penguin!</h3>
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The shading on the Aliens is nice.<br /> On the translation I think this student translated and rotated all at once.</h3>
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Love the colors.</h3>
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We love minions:)</h3>
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<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh8cDZv9DWRHrmHNiz710tAloyjJKoThxzHkec3jOIU1kJcQskyK7rZHFWB2Zip1h-9R0cy2sObQzoEnyhaxREOdL3cA-VZ7CPTEzZHGiBFrNtLkEayjbvBRmQ0XZvZHjmNZn3Ju6H9-mIE/s1600/transformation+project+pg3.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh8cDZv9DWRHrmHNiz710tAloyjJKoThxzHkec3jOIU1kJcQskyK7rZHFWB2Zip1h-9R0cy2sObQzoEnyhaxREOdL3cA-VZ7CPTEzZHGiBFrNtLkEayjbvBRmQ0XZvZHjmNZn3Ju6H9-mIE/s640/transformation+project+pg3.jpg" width="516" /></a></td></tr>
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More pizza! Nicely done.</h3>
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One of the criteria was to color code the points on the data sheet with the pictures on the graphs.<br />This student did it perfectly.</h3>
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Good job on labeling the points.</h3>
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Another nice one on the color coding. Love this one too:)</h3>
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<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg3ZEubpSDq5pi5xqfATEDG9SAfuHu6Cis9FTZikwcj4cvUUjvzEqTNMLSmd7hYsv6o2XLlh3pu8YA43QQZrLyb44W-PAEcYvIljcYgW2eVXTyxXJX52TBpk5LoBJAIVvXpTnWXJSEGDlZA/s1600/transformation+project+pg7.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg3ZEubpSDq5pi5xqfATEDG9SAfuHu6Cis9FTZikwcj4cvUUjvzEqTNMLSmd7hYsv6o2XLlh3pu8YA43QQZrLyb44W-PAEcYvIljcYgW2eVXTyxXJX52TBpk5LoBJAIVvXpTnWXJSEGDlZA/s640/transformation+project+pg7.jpg" width="510" /></a></td></tr>
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This student worked hard on getting the chin part (is that called a gobbler?) of the chicken correct. </h3>
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<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjxd1oXFgj-bS7ZXF9YXiTPDtAb_66XEIxLsf4VJ7Vn19Ph_MB6c1Y5Y8FieimABR2vgb2of6yyk_UlwiENkp1E8DWsyeuLBs5SxLbdyF56VqDYYW9gZg-XcszS4_zuxckO5WClNiUgrVX1/s1600/transformation+project+pg8.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjxd1oXFgj-bS7ZXF9YXiTPDtAb_66XEIxLsf4VJ7Vn19Ph_MB6c1Y5Y8FieimABR2vgb2of6yyk_UlwiENkp1E8DWsyeuLBs5SxLbdyF56VqDYYW9gZg-XcszS4_zuxckO5WClNiUgrVX1/s640/transformation+project+pg8.jpg" width="478" /></a></td></tr>
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This is how I feel about this entire project.</h3>
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There isn't anything I would change about this project. By the time the students were finished they really understood all of the different transformations. I wanted to add something with dilation's but ran out of time. This was turned in the day before winter break so not an extra second was available.</div>
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Wishing all of you a Happy New Year.</div>
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Til next time,</div>
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Jan Lichtenbergerhttp://www.blogger.com/profile/05944365143533012776noreply@blogger.com5tag:blogger.com,1999:blog-4954629309143288516.post-37238692579840439472016-11-19T00:46:00.000-06:002018-10-13T12:55:14.211-05:00Pythagorean Short Stacks <span style="font-family: "georgia" , "times new roman" , serif;"> Last year I taught an 8th grade collababorative math class. My class consisted of 12 special education students with IEP's, 4 students with 504 plans and 12 general education students who scored between 2nd and 4th grade level in math. I also had a special education teacher and teacher assistant to help in the classroom. This was truly the most challenging class I have ever taught. Trying to cover the standards with such a diverse group took lots and lots of planning. </span><br />
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<span style="font-family: "georgia" , "times new roman" , serif;"> My favorite unit with this class was Pythagorean Theorem. They really understood it! In my Algebra and Pre-Algebra classes I used my Pythagorean Stack activity. See my previous post on Pythagorean Stacks<b> </b><span style="font-weight: bold;"><a href="https://equationfreak.blogspot.com/2015/07/pythagorean-stacks.html" style="color: blue;" target="_blank">here<i>.</i></a><i> </i></span> I knew this would be too difficult for my collab class to do so I adapted it and created my Pythagorean Short Stack activity for this group. It has less problems and they still have to find missing sides which makes both of these activities so much fun. All of the answers are integers just like the Pythagorean Stack Activity so you can tell the students there are no decimals or fractions. They loved this project and did a great job. The room was buzzing with activity as they worked in their groups helping each other.</span><br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh11lYR_vZy7V9ZTFKGVVTthHjanbyPuSeGnmbOk8kp8wjEkApuXHpZOWoAp7fz3d8dvvTmc7a0PnweFB_1RikAsOgYwNWzCfSVmVHjw5NnuF4igYvweTcI38PV2YzvL04JZGSQxclIbzEl/s1600/Pythagorean+Short+Stack+5.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh11lYR_vZy7V9ZTFKGVVTthHjanbyPuSeGnmbOk8kp8wjEkApuXHpZOWoAp7fz3d8dvvTmc7a0PnweFB_1RikAsOgYwNWzCfSVmVHjw5NnuF4igYvweTcI38PV2YzvL04JZGSQxclIbzEl/s640/Pythagorean+Short+Stack+5.jpg" width="491" /></a></div>
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(Not drawn to scale)</h4>
<span style="font-family: "georgia" , "times new roman" , serif;"> I did add in numbers for each of the triangles to make it easier to grade. On the other activity if they didn't number the triangles it was difficult to follow. I know a black and white version would print better but the colors cover up a multitude of mistakes on my diagram. Believe it or not I used Word to make this. My son just looks and me and rolls his eyes and says, "Mom why don't you use paint for that?" I guess I'm just old school. What can I say.</span><br />
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<span style="font-family: "georgia" , "times new roman" , serif;"> This year I plan on using both activities with my Pre-Algebra as I have many struggling students in these classes as well. </span><br />
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<span style="font-family: "georgia" , "times new roman" , serif;"> My Pythagorean Stack post is one of my most popular posts so I'm hoping that many of you will find this to be fun to use in your classes as well. Enjoy!</span><br />
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<span style="font-weight: normal;">Download file here: <span style="color: blue;"> </span></span><a href="https://www.dropbox.com/s/cbtzzmvdip27bve/Pythagorean%20short%20stack%20final.pdf?dl=0" target="_blank"><span style="color: blue;">Pythagorean Shor</span><span style="color: blue;">t Stack</span></a></h3>
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<i>Til next time,</i></h3>
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<i>Jan</i></h3>
Jan Lichtenbergerhttp://www.blogger.com/profile/05944365143533012776noreply@blogger.com7tag:blogger.com,1999:blog-4954629309143288516.post-39979970601602417532016-09-30T21:10:00.005-05:002016-09-30T21:10:30.449-05:00Divisibility rules 7, 11 and 12<div class="separator" style="clear: both; text-align: justify;">
<span style="font-family: "arial" , "helvetica" , sans-serif;"><span style="text-align: left;"> </span><span style="text-align: left;"> OK, I admit it. Divisibility rules for 7, 11 and 12 are not part of my curriculum but I have so much fun teaching them that I find the time to squeeze it into my lessons. </span></span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif;"><span style="text-align: left;"> I do use the divisibility rule for 11 quite often. And because seven and eleven are prime numbers needed for prime factorization and factoring out GCF, I feel it is worthwhile to spend a little time on these rules. I</span><span style="text-align: left;"> put 12 in this foldable because we use that number quite a bit as well</span><span style="text-align: left;">.</span></span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgoAdp_pt6_YWZDyvaNcSBXnDOCUU2ilZBAYesZLcASpIj1-TtsYY52lkiwHhKEe7cf4WQ6DS_wn73wK_4cMz9PQRcWvr9fAeYHSCZlK8MqFMzuG2ngVbQ4xvCMvUFJThAOkKv24rXXQQmF/s1600/div+rules+7%252C+11+and+12.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgoAdp_pt6_YWZDyvaNcSBXnDOCUU2ilZBAYesZLcASpIj1-TtsYY52lkiwHhKEe7cf4WQ6DS_wn73wK_4cMz9PQRcWvr9fAeYHSCZlK8MqFMzuG2ngVbQ4xvCMvUFJThAOkKv24rXXQQmF/s640/div+rules+7%252C+11+and+12.jpg" width="442" /></a></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif;"> As you all know, I am addicted to making foldables. Usually when I have lots of problems to cover I will make one of these booklets. It is a nightmare getting everything to line up and to have the pages in the correct order. This one took awhile and I still wasn't able to line up the two pages correctly. UGH!</span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi6nUkQgszCceMHbwfWf2ED4avd6mOZm7CuhezLLYyQEuh5Xn0-k3KEALxJE3wu40x1zKM6fFPDsSyM8ReAN_xeBnhGjP3HfBMJet3Gy2pZGG1Z91JjgK7_LvXavMqsXTrsfc2KGQTL4idt/s1600/div+fold++7%252C+11+and+12++inside+pgs+2%252C+3.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="496" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi6nUkQgszCceMHbwfWf2ED4avd6mOZm7CuhezLLYyQEuh5Xn0-k3KEALxJE3wu40x1zKM6fFPDsSyM8ReAN_xeBnhGjP3HfBMJet3Gy2pZGG1Z91JjgK7_LvXavMqsXTrsfc2KGQTL4idt/s640/div+fold++7%252C+11+and+12++inside+pgs+2%252C+3.jpg" width="640" /></a></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif;"> I never see the divisibility rule for 7 taught. It really isn't that hard and it is a great way to practice mental math with the kids.</span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif;"> Before we do the divisibility rule for 11, I have the kids put their pencils down and I write several three digit numbers on the board. </span><br />
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<span style="font-family: "arial" , "helvetica" , sans-serif;">For example: </span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif;">792</span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif;">473</span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif;">396</span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif;">594</span><br />
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<span style="font-family: "arial" , "helvetica" , sans-serif;"> I tell them that, "All of these three digit numbers are divisible by 11. Can you see the pattern?" They look for awhile, I wait and then I add a few more. And I wait and add a couple more. I start to hear, "Oh, I see it!" I tell them not to say the rule but to give me another three digit number that is divisible by 11. I will write down the number and then say, "Yes! That is a number divisible by 11." Then the fun begins. Hands go up and I keep adding numbers to our list. We write down a very long list and then the students explain the pattern to the class.</span><br />
<span style="font-family: "arial" , "helvetica" , sans-serif;"><span style="font-family: "arial" , "helvetica" , sans-serif;"><br /></span><span style="font-family: "arial" , "helvetica" , sans-serif;"> Next I place some four digit numbers on the board. </span></span><br />
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<span style="font-family: "arial" , "helvetica" , sans-serif;">Like these:</span><br />
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<span style="font-family: "arial" , "helvetica" , sans-serif;">7546</span></span><br />
<span style="font-family: "arial" , "helvetica" , sans-serif;"><span style="font-family: "arial" , "helvetica" , sans-serif;"><br /></span>
<span style="font-family: "arial" , "helvetica" , sans-serif;">2981</span></span><br />
<span style="font-family: "arial" , "helvetica" , sans-serif;"><span style="font-family: "arial" , "helvetica" , sans-serif;"><br /></span>
<span style="font-family: "arial" , "helvetica" , sans-serif;">1364</span></span><br />
<span style="font-family: "arial" , "helvetica" , sans-serif;"><span style="font-family: "arial" , "helvetica" , sans-serif;"><br /></span>
<span style="font-family: "arial" , "helvetica" , sans-serif;">5698</span></span><br />
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<span style="font-family: "arial" , "helvetica" , sans-serif;"> I tell them that, "All of these four digit numbers are divisible by 11. Do you see the pattern?" I will wait and place a few more on the board and then they start to guess the pattern just like they did with the three digit numbers. I'm telling you, they love this rule and find it so much fun! One of my students said to me, "Math was so much fun today! We should do this everyday." Oh please repeat that for me again. That is probably why I keep teaching this or should I say having the kids discover the pattern. I can see this being turned into a group activity where the kids talk together to find the pattern as well.</span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif;"> Next we go over rules for 12 and I briefly tell then the rule for 15 because it is so similar to 12 and 6.</span><br />
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<span style="font-family: "arial" , "helvetica" , sans-serif;">And of course, there's a practice page.</span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; text-align: left;"> There are some extra pages at the end that I used for the students to summarize the foldable. In that section we wrote in full sentences. They groaned. Imagine that!</span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif;"> I would love to hear how this works with your classes. Enjoy.</span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif;">Download the foldable here:</span></div>
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<a href="https://www.dropbox.com/s/ble3rn1gnwddxrm/Divisibility%20Rule%20for%207%2C11%20and%2012%20final%20one.pdf?dl=0" target="_blank">Divisibility foldable for 7, 11 and 12</a></div>
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<span style="font-family: "lucida calligraphy"; font-size: 14pt; line-height: 19.9733px;">Jan</span></h3>
<br />Jan Lichtenbergerhttp://www.blogger.com/profile/05944365143533012776noreply@blogger.com0tag:blogger.com,1999:blog-4954629309143288516.post-74306211549070188022016-09-04T22:37:00.000-05:002016-09-05T21:06:03.053-05:00Divisibility Rules for 2,3,4,5,6,8,9,and 10<div class="separator" style="clear: both; text-align: left;">
<span style="font-family: "arial" , "helvetica" , sans-serif;">Divisibility rules are not a topic that I normally cover but the students in my 8th grade Pre-Algebra classes needed this review so I made this foldable for our notebooks. </span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif;">When I teach this I always group the rules together that are similar. It just seems easier to remember four similar rules than eight different rules. I wanted my foldable to group them together in the order I teach them. I debated about having 12 paired with 6 but I decided to place it on my second foldable along with the rules for 7 and 11 which will be my next post.</span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif;">For the numbers 2, 5 and 10 they are looking at the last digit so those are the numbers in the first flap. Yes, believe it or not, we had to write that an even number ends in 0, 2, 4, 6, or 8.</span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif;">Then the numbers 3 and 9 are the sums of the digits so they are on the next flap.</span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif;">It bothers me that 6 is alone by itself. I still want 12 and 15 there but OK, I will get over it.</span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif;">And lastly, a number divisible by 4 or 8 is to divide into the last 2 or 3 digits.They are on the last flap.</span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEht57oUgBtqPmUX6wfIsOePIFw2ptAX0OYghDxZTA256BZIbRM8EBIaJtxSfvnsdALuwwN6Fc7EVNm4Jsk0BfT5qkvOeJ1RMMTvS6MFOR8PQVLSki7nl5e40y5dYEkXE6_5KdXXxQvMfsuL/s1600/div+fold+2+to+9++inside.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="458" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEht57oUgBtqPmUX6wfIsOePIFw2ptAX0OYghDxZTA256BZIbRM8EBIaJtxSfvnsdALuwwN6Fc7EVNm4Jsk0BfT5qkvOeJ1RMMTvS6MFOR8PQVLSki7nl5e40y5dYEkXE6_5KdXXxQvMfsuL/s640/div+fold+2+to+9++inside.jpg" width="640" /></a></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif;">I used different colors for each different number and next time will draw a line separating the rules. There wasn't room for full sentences so I abbreviated quite a bit on this foldable. I told the kids they would need to write full sentences on an assessment and they groaned. Imagine that.</span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif;">Six is still alone. UGH!</span><br />
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<span style="font-family: "arial" , "helvetica" , sans-serif;">The divisibility rule for 8 isn't used that often. We discussed how we would use the rule when it was obvious and that they could always divide by two and then four. Wait that could be paired with six as well. What!</span><br />
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<span style="font-family: "arial" , "helvetica" , sans-serif;">I hope that grouping the rules together will help the kids remember them better. We shall see.</span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif;">You can download this foldable <i style="font-weight: bold;"><a href="https://www.dropbox.com/s/6ufn36j0jc587nh/Divisibility%20Rules%20Foldable%20%20final%202.pdf?dl=0" target="_blank">Here</a>. </i>When printing this file select landscape view.</span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif;">This was a short post but I wanted to get this out tonight. Enjoy!</span></div>
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<br />Jan Lichtenbergerhttp://www.blogger.com/profile/05944365143533012776noreply@blogger.com2tag:blogger.com,1999:blog-4954629309143288516.post-53376803957107277952016-08-13T10:12:00.001-05:002016-12-15T18:24:13.910-06:008.G.B.7 Pythagorean Theorem and 3 dimensional shapes<span style="font-family: "georgia" , "times new roman" , serif;">I'm back!! After a very difficult year I finally have the energy to blog. Have you ever had one of those years? It took me all summer to regenerate but I am ready to begin a new school year. The students start </span><span style="font-family: "georgia" , "times new roman" , serif;">school Wednesday and I am already busy with meetings, so my mind is whirling with ideas. I can't wait to begin my 4th year using interactive notebooks. A post is coming up next week on this topic.</span><br />
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<span style="font-family: "georgia" , "times new roman" , serif;">Now I need to finish sharing from last year! Everyone must think that the only thing I teach is Pythagorean Theorem. There are so many posts on this one topic. However, I really didn't have any materials that went in to the detail expected of this Common Core standard. Plus there had to be foldables, right? So here they are.</span><br />
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<span style="font-family: "georgia" , "times new roman" , serif;">Standard 8.G.B.7: </span><span style="color: #202020; font-family: "lato light"; font-size: 16.8px; line-height: 25.2px;">Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and <span style="background-color: yellow;">three dimensions.</span></span></h3>
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<span style="font-family: "georgia" , "times new roman" , serif;">WOW, was it hard to find problems on this standard for the 3-D shapes. After searching and searching and searching some more, I made these foldables for Pythagorean Theorem and 3 dimensional shapes.</span><br />
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<span style="font-family: "georgia" , "times new roman" , serif;">My students needed help on how to draw the right triangle when the legs were not given in the problem. Once we had the drawing completed there was no problem. </span><br />
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<span style="font-family: "georgia" , "times new roman" , serif;"><span style="font-family: "georgia" , "times new roman" , serif;">This next section was hard to find material at the 8th grade level as well. </span></span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhi-AnKEHkn3ueDqArUxQuz2PvKqrA6m08RqzHmjx1nEGtznqMvF-mz7UcVg2JRshlRG8aouslAYBYNHMtfv9imGl6ykD8th7CnZK74zeaMZT_VFhPcPMFg0Mz4hbJX0PJqrDyuO7SSuUoj/s1600/Space+Diagonals+foldable+cover.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhi-AnKEHkn3ueDqArUxQuz2PvKqrA6m08RqzHmjx1nEGtznqMvF-mz7UcVg2JRshlRG8aouslAYBYNHMtfv9imGl6ykD8th7CnZK74zeaMZT_VFhPcPMFg0Mz4hbJX0PJqrDyuO7SSuUoj/s640/Space+Diagonals+foldable+cover.jpg" width="302" /></a></div>
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<span style="font-family: "georgia" , "times new roman" , serif;">We only solved these using Pythagorean Theorem as that is the standard addressed here. </span></div>
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<span style="font-family: "georgia" , "times new roman" , serif;">Again, my students needed help on how to draw the two triangles when only one diagonal is given in the illustration. We traced the diagonal then the height of the vertical triangle, then connected the two points. Then we drew the triangle in the base.</span></div>
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<span style="font-family: "georgia" , "times new roman" , serif;">I was concerned how my collab (A class with a mixture of special education and general education) students would do with this topic. They understood it much better than I expected!!! Yes!!! </span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgvq_AR6A_iYwzgagR98hrNlBCH9RF87Lj_bw6DwsTEtEiQxUDtqaJ2Ycl9Fh9fEqCRTcEmuVX2_CaLNRmXN4VMCjhtq5sS3tVyKCvqZP99CjfH18leJre-nhvRjLH1kR0rLHLQfnEzy4l0/s1600/Space+Diagonals+foldable+back+cover+vocab.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgvq_AR6A_iYwzgagR98hrNlBCH9RF87Lj_bw6DwsTEtEiQxUDtqaJ2Ycl9Fh9fEqCRTcEmuVX2_CaLNRmXN4VMCjhtq5sS3tVyKCvqZP99CjfH18leJre-nhvRjLH1kR0rLHLQfnEzy4l0/s640/Space+Diagonals+foldable+back+cover+vocab.jpg" width="595" /></a></div>
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<span style="font-family: "georgia" , "times new roman" , serif;">I wanted a page with vocabulary as well so they understood that the diagonals were crossing the center of the rectangular prism. This page was perfect for that.</span></div>
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<span style="font-family: "georgia" , "times new roman" , serif;">Teaching the Geometry in Pre Algebra is so much fun. I love it and the kids do as well. </span></div>
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<span style="font-family: "georgia" , "times new roman" , serif;">See you soon with a post on how I start my interactive notebooks. Have a great new school year.</span></div>
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<span style="font-family: "georgia" , "times new roman" , serif;"><b>Below are the links to download these foldables:</b></span><br />
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<b>I have some worksheets and exit slips I will add to this next week. They are in my school drive so I don't have access to them until Tuesday. So come back after that for more downloads.</b><br />
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<b><span style="color: blue;"><a href="https://www.dropbox.com/s/5yv5gxtavphyx82/pythagorean%20Theorem%20and%203D%20shapes%20foldable%20%28final%29.pdf?dl=0" target="_blank">Pythagorean Theorem 3 -D shapes foldable</a></span></b></div>
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<b style="text-align: center;"><a href="https://www.dropbox.com/s/xdl68gvvu0e0838/pythagorean%20Theorem%20and%20space%20diagonals%20foldable%20%28final%29.pdf?dl=0" target="_blank">Pythagorean Theorem and space diagonals</a></b><br />
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<b style="text-align: center;"> Til next time,</b><br />
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Jan Lichtenbergerhttp://www.blogger.com/profile/05944365143533012776noreply@blogger.com2tag:blogger.com,1999:blog-4954629309143288516.post-86653191073942321482016-04-02T01:05:00.000-05:002016-04-02T01:07:27.477-05:00Graphing Systems of Inequalities Graphic Organizer <span style="font-family: "georgia" , "times new roman" , serif;"><span style="color: blue;"> </span>I have had this graphic organizer for over two years in my draft box and have not shared it because I was going to write an awesome post but never got around to doing it. What can I say, it has been one crazy year! I know that many teachers are teaching inequalities this time of year so here is a graphic organizer I made which was inspired by Sarah at<b> </b><span style="color: blue;"><a href="http://mathequalslove.blogspot.com/2013/04/algebra-1-graphing-linear-inequalities.html" style="font-weight: bold;" target="_blank">math equals love</a> .</span></span><br />
<span style="font-family: "georgia" , "times new roman" , serif;"><span style="color: blue;"> My students loved her graphic organizer on graphing linear inequalities so much that I made one for graphing systems of inequalities. (Don't ask me why these words are in a blue font, they are not on my original post. UGH!)</span></span><br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEieYJo9WBk8JhrelpoGWapk5z-xhRsDOVOsobWDvKwlaAIktSkDoXVlK4_GSC1PhuLggLbyzA4LgGSxVgeFy0yBpsnpVt8fpUHlmKBgUiMk7DmCSwtMRTBa4b5DvrjSusyMQJob6zpAti62/s1600/systems+of+inequalities+graphic+organize+2r.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="502" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEieYJo9WBk8JhrelpoGWapk5z-xhRsDOVOsobWDvKwlaAIktSkDoXVlK4_GSC1PhuLggLbyzA4LgGSxVgeFy0yBpsnpVt8fpUHlmKBgUiMk7DmCSwtMRTBa4b5DvrjSusyMQJob6zpAti62/s640/systems+of+inequalities+graphic+organize+2r.jpg" width="640" /></a></div>
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<b><span style="font-family: "georgia" , "times new roman" , serif;">Click here to download: <a href="https://www.dropbox.com/s/sf95k43lyha2nre/Graphing%20Systems%20of%20Inequalities%20-%20Graphic%20Organizer%20%282%29%20%281%29.pdf?dl=0" target="_blank"><span style="color: blue;">Graphing Systems of Inequalities - graphic organizer</span></a></span></b></div>
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<span style="font-family: "georgia" , "times new roman" , serif;"> There are only two days left of my spring break and then I head back to school. I'm working on something I can't wait to share and am hoping to have it finished soon. </span></div>
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<span style="font-family: "georgia" , "times new roman" , serif;">I'm glad to have this out of the draft box even though this was a very short post. Enjoy.</span></div>
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<i><span style="font-family: "rockwell extra bold" , serif; font-size: 14.0pt;"><b>Til next time,</b></span></i></div>
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<i><span style="font-family: "rockwell extra bold" , serif; font-size: 14.0pt;"><b> Jan</b></span></i></div>
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<br />Jan Lichtenbergerhttp://www.blogger.com/profile/05944365143533012776noreply@blogger.com0tag:blogger.com,1999:blog-4954629309143288516.post-85708179548479239092016-02-15T00:43:00.000-06:002016-02-15T00:46:36.271-06:00Algebra -Dimensional Analysis Foldable<span style="font-family: "georgia" , "times new roman" , serif;"> My algebra students always have difficulty solving dimensional analysis problems. We needed to practice a little more and have some step by step instructions so I created this<i><b> <a href="https://www.dropbox.com/s/ftjsd4oub6xqxeh/dimensional_analysis_foldable%20final.pdf?dl=0" target="_blank">dimensional analysis foldable</a></b></i>. I liked my </span><span style="font-family: "georgia" , "times new roman" , serif;">scientific notation foldable from a previous post so much that I used the exact same template. Why not? </span><br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjRoPNK9YhV44L2uT52rgcueU8NHWRWLBqQhKkAUuKYUfCPGT6mBhsV9NBsTRAeA1oPHxX4lfFrXMfCGXofSbUfEuRdQITGqwdgsP0DZg9fY2EBrGtZGPtaie1BfP4Ocfj1-9C3DTWE3mro/s1600/Dimensional+Analysis+pic+1.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjRoPNK9YhV44L2uT52rgcueU8NHWRWLBqQhKkAUuKYUfCPGT6mBhsV9NBsTRAeA1oPHxX4lfFrXMfCGXofSbUfEuRdQITGqwdgsP0DZg9fY2EBrGtZGPtaie1BfP4Ocfj1-9C3DTWE3mro/s640/Dimensional+Analysis+pic+1.jpg" width="481" /></a></div>
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<span style="font-family: "georgia" , "times new roman" , serif;">I really like this foldable template :) The only thing that would have made it better was if it were in color.</span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgSNz41NsaIn37uKrRJfcI_v3t8sAnxtHO2dzpy_90IjCH22YyLmOCVx1_m_Hj-ofdPJalN9JWcEHuk3IAlKipEgXPQUbgG5fKgBSmngazitdSI7_OSByFTU-23ZVXIQCuFNbrme0nMQQdJ/s1600/Dimensional+Analysis+pic+2..jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="458" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgSNz41NsaIn37uKrRJfcI_v3t8sAnxtHO2dzpy_90IjCH22YyLmOCVx1_m_Hj-ofdPJalN9JWcEHuk3IAlKipEgXPQUbgG5fKgBSmngazitdSI7_OSByFTU-23ZVXIQCuFNbrme0nMQQdJ/s640/Dimensional+Analysis+pic+2..jpg" width="640" /></a></div>
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<span style="font-family: "georgia" , "times new roman" , serif;"> </span><span style="font-family: "georgia" , "times new roman" , serif;">The students who had difficulty reducing the numbers could use their calculator. I am always surprised that my students haven't learned to reduce before they multiply when working with fractions.</span> Really?</div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgC3wlNJSphkoi6NDiPNLzpU67r6pyDqLSEHeDQ19Ywj16tm344420K0mXFGR1D0PCUd71kQMtqfA_RDqCgiSz4eGAhg6AIFrwzIi1kejfxzc9If1lHE4x6OHr11ewKTDM0g0K1U4Swe4q_/s1600/Dimensional+Analysis+pic+5.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgC3wlNJSphkoi6NDiPNLzpU67r6pyDqLSEHeDQ19Ywj16tm344420K0mXFGR1D0PCUd71kQMtqfA_RDqCgiSz4eGAhg6AIFrwzIi1kejfxzc9If1lHE4x6OHr11ewKTDM0g0K1U4Swe4q_/s640/Dimensional+Analysis+pic+5.jpg" width="468" /></a></div>
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<span style="font-family: "georgia" , "times new roman" , serif;">I think next year I may add a couple more word problems.</span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEibOpuKyTKY4KR2uUazXYXmsvu-Mfl62x2XxvUwE_u_23O0bqMPl8x42huFYfHVfJWp9kC9RGe3fRChQYS-UeqSfBBLd6EwEtmIWW8rIPhbSZrysn5-rNgwBNG08aPrasyfOWHZtRdAFtQh/s1600/Dimensional+Analysis+pic+6.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEibOpuKyTKY4KR2uUazXYXmsvu-Mfl62x2XxvUwE_u_23O0bqMPl8x42huFYfHVfJWp9kC9RGe3fRChQYS-UeqSfBBLd6EwEtmIWW8rIPhbSZrysn5-rNgwBNG08aPrasyfOWHZtRdAFtQh/s640/Dimensional+Analysis+pic+6.jpg" width="470" /></a></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjQY0uqPD3SF9tZA0jv6upvuahqWMlPG3tIRz-56nFgcnlnp9vNu9D2-JOVOjG-Arr6pYWC2WJnj0CEth8Df3biV7v2rztjx0flniesk6DH6cOvT11BYd4r5D3QgcFC36CY87B-r46VpQvd/s1600/Dimensional+Analysis+pic+7.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjQY0uqPD3SF9tZA0jv6upvuahqWMlPG3tIRz-56nFgcnlnp9vNu9D2-JOVOjG-Arr6pYWC2WJnj0CEth8Df3biV7v2rztjx0flniesk6DH6cOvT11BYd4r5D3QgcFC36CY87B-r46VpQvd/s640/Dimensional+Analysis+pic+7.jpg" width="512" /></a></div>
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<span style="font-family: "georgia" , "times new roman" , serif;"> I was telling my daughter, who is a high school biology teacher, about how the kids were having difficulty with this topic and she shared a fun worksheet that the physics teachers at her school created. David Thorpe over at <a href="http://nerdislandstudios.com/wp/" target="_blank"><b><span style="color: blue;"><i>Nerd Island Studios</i></span></b></a> has given me permission to share this as a Word Document and said, </span><span style="font-family: "georgia" , "times new roman" , serif;"><span style="font-family: "georgia" , "times new roman" , serif;">"</span><span style="background-color: white; color: #1f497d; font-size: 14.6667px;"> </span><span style="background-color: white; color: #1f497d; font-size: 14.6667px;">I am totally OK with it becoming public so that people can modify it to their own needs without attribution." </span><span style="background-color: white; color: #1f497d; font-size: 14.6667px;"><span style="font-family: "georgia" , "times new roman" , serif;">Thanks David! So have fun with this sheet. </span></span></span><span style="font-family: "georgia" , "times new roman" , serif;"> Check out the guys website. They have lots of simulations, IPAD apps, and a quizevolved site where the computer generates the same type of problems with different numbers. Awesome.</span><br />
<span style="background-color: white; color: #1f497d; font-size: 14.6667px;"><span style="font-family: "georgia" , "times new roman" , serif;"> </span></span><span style="font-family: "georgia" , "times new roman" , serif;">My kids loved it and it was a fun way to have them begin to practice dimensional analysis.</span><br />
<span style="font-family: "georgia" , "times new roman" , serif;"> I changed the name of the Island to our school name and the King to King Smithoni as our principal is Mr. Smith. They got a kick out of that.</span><br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgEu1KKd1rTIWcEs_NuJsoOlm-nZy8eod8wnLONBiII9S1XhxpPWopVtgT9UDHrIfNbyTbiP_lyYBjcxbNCGS7fc2zETAUozmeDhJ9wNFX9MwMICpvN4N7NqD9ILxJZzlapbtu-iAmpHTZ2/s1600/conantuki.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="300" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgEu1KKd1rTIWcEs_NuJsoOlm-nZy8eod8wnLONBiII9S1XhxpPWopVtgT9UDHrIfNbyTbiP_lyYBjcxbNCGS7fc2zETAUozmeDhJ9wNFX9MwMICpvN4N7NqD9ILxJZzlapbtu-iAmpHTZ2/s640/conantuki.jpg" width="640" /></a></div>
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<span style="font-family: "georgia" , "times new roman" , serif; font-size: small;"><span style="font-weight: normal;">Click here to see and download the entire document:</span><i style="color: blue;"> </i></span></h2>
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<span style="color: #0b5394; font-family: "georgia" , "times new roman" , serif; font-size: small;"><i> </i><a href="https://www.dropbox.com/s/inow1e7yy6puoz2/02_Conantucki%20%281%29.docx?dl=0" style="font-family: georgia, 'times new roman', serif;" target="_blank">Conantuki Island - Dimensional Analysis worksheet</a></span></h2>
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<span style="font-family: "georgia" , "times new roman" , serif;"> This post is mostly pictures as I am trying to clear out my draft box in my blog. It is sad when you have more drafts then posts. So enjoy the pictures.</span></div>
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<span style="font-family: "satisfy"; font-size: 24px; vertical-align: baseline; white-space: pre-wrap;"> Jan</span></b></i></span></div>
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Jan Lichtenbergerhttp://www.blogger.com/profile/05944365143533012776noreply@blogger.com0tag:blogger.com,1999:blog-4954629309143288516.post-54354476082977527152016-02-13T00:58:00.006-06:002016-02-13T01:06:23.227-06:00Integer card game<div class="separator" style="clear: both; text-align: justify;">
<span style="font-family: "georgia" , "times new roman" , serif; text-align: left;"> My collaborative math class is currently working through our integer unit. </span><span style="font-family: "georgia" , "times new roman" , serif; text-align: left;">Many of the students are having difficulty comparing and ordering integers and at the last minute I decided we to put together a game to help them practice. I knew my wonderful math teachers had everything that I needed. Julie had created decks of cards that had all of the numbers from -100 to 100, that had been copied, laminated and cut. She had 8 decks and each deck was a different color. That's a lot of cards! She let me borrow them. </span></div>
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<span style="font-family: "georgia" , "times new roman" , serif;"> Gina had large dice that she purchased from Dollar Tree that she let me borrow as well. Perfect, that's exactly what I needed.</span><br />
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<span style="font-family: "georgia" , "times new roman" , serif;"> Then I quickly made directions on my Smartboard.</span></div>
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<span style="font-family: "georgia" , "times new roman" , serif;"> When the kids came into class they were divided into groups with an odd number of students. One group had an even number. I told them we were going to play the game, "WAR." I was amazed that most of the kids didn't know this game. Really, I was shocked. So I explained it to them. </span></div>
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<span style="font-family: "georgia" , "times new roman" , serif;">Here are the rules:</span></div>
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<span style="font-family: "georgia" , "times new roman" , serif;"> 1. Pass out all of the cards in your pile. Everyone should have the same number of cards. If there are any extra cards place them in the center of the table. Your cards should be face down so you can't see them .</span></div>
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<span style="font-family: "georgia" , "times new roman" , serif;">2. Roll the die. </span></div>
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<span style="font-family: "georgia" , "times new roman" , serif;">3. All at once everyone take your top card and turn it face up on the table. </span></div>
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<li><span style="font-family: "georgia" , "times new roman" , serif;">If you rolled a 1 or a two the person with the least number wins and gets all the cards on the table . </span></li>
<li><span style="font-family: "georgia" , "times new roman" , serif;">If you rolled a 3 or a 4 the person with the highest number wins. </span></li>
<li><span style="font-family: "georgia" , "times new roman" , serif;">If you rolled a 5 or 6 the person with the number in the middle wins. If they were in a group that had an even number of students, the person who had the number closest to zero wins. </span></li>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEixO-guFjCc5jxVK6a905Y0vuwl8JopRI8L7mW4q4-SczUzv9DHlnPtfHYmbPRKNg2bIhNZ2_K5lQRXaxTS8mGFM0vWJYjLKMi04AL8z2YQMr9hidBIZapH4Ma35Y0-pj0Wx8BOD0XkbrIW/s1600/dice_1.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEixO-guFjCc5jxVK6a905Y0vuwl8JopRI8L7mW4q4-SczUzv9DHlnPtfHYmbPRKNg2bIhNZ2_K5lQRXaxTS8mGFM0vWJYjLKMi04AL8z2YQMr9hidBIZapH4Ma35Y0-pj0Wx8BOD0XkbrIW/s640/dice_1.png" width="640" /></a></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhDDHs5Zw14hZP3bvJda9ykD8tnqBYWX9FwgpMdoRkt1LfafpBeqkgE5i-8snI_e7fxoxOmF7oJR5pHeXFwzXQGU-5fvhoSExoAvjQqrEgExnJsfAFgjeRspeF8wgvBuaQkUR7WgGwV38GO/s1600/integer+game.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="360" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhDDHs5Zw14hZP3bvJda9ykD8tnqBYWX9FwgpMdoRkt1LfafpBeqkgE5i-8snI_e7fxoxOmF7oJR5pHeXFwzXQGU-5fvhoSExoAvjQqrEgExnJsfAFgjeRspeF8wgvBuaQkUR7WgGwV38GO/s640/integer+game.jpg" width="640" /></a></div>
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<span style="font-family: "georgia" , "times new roman" , serif;">I can't believe how much fun they had playing this game! I liked it when they rolled a 5 or 6 and had to place the numbers in order from least to greatest to find the number in the middle. It was fun to watch the light bulbs go off. Those moments when they make those connections make teaching so much fun.</span></div>
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<span style="font-family: "georgia" , "times new roman" , serif;"> Downloads:</span></div>
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<span style="font-family: "georgia" , "times new roman" , serif;"><i><b> <a href="https://www.dropbox.com/s/o3uvfd7tja9hcao/IntegerCards.pdf?dl=0" target="_blank">Integer Cards</a></b></i> (Thank you Julie for letting me share this!)</span></div>
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<a href="https://www.dropbox.com/s/lngodd85f1hfsg3/dice.notebook?dl=0" target="_blank"><span style="font-family: "georgia" , "times new roman" , serif;"><i><b>Notebook file -- dice rules for integer war</b></i></span></a></div>
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<i><span style="font-family: "britannic bold" , sans-serif; line-height: 115%;">Til
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<i><span style="font-family: "britannic bold" , sans-serif; line-height: 115%;">Jan<span style="font-size: 20pt;"><o:p></o:p></span></span></i></div>
Jan Lichtenbergerhttp://www.blogger.com/profile/05944365143533012776noreply@blogger.com0tag:blogger.com,1999:blog-4954629309143288516.post-30849908928150321622015-12-19T01:41:00.000-06:002015-12-19T18:41:29.485-06:00My favorite project -- year 2<div class="separator" style="clear: both; text-align: left;">
<span style="font-family: "trebuchet ms" , sans-serif;"> This is my second year using my transformation project as an assessment and I love it! See my previous post here,<span style="color: blue;"><b> <a href="http://equationfreak.blogspot.com/2014/12/transformations-summative-assessment.html" target="_blank"><i>transformation summative assessment</i></a></b>,</span> for all the details. The timing of this project couldn't be any more perfect as it falls the week before winter break. My kids were so busy and engaged while they worked on this. I had music playing and we all had a great time. </span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;"> The key to this assessment is that it never leaves the room. I've debated long and hard about whether to post the students pictures because students could google and find this to copy. (Just to let you know, there are errors in all of these pictures.) I would love to hear your opinions about whether to post student work or not. As I said, the way I get around the copying is that this never leaves the room and they have to work on it while I am present. Even if they get ideas from other places, they still have to do all the work. With that said, here are some of my favorites from this year. </span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhjO0iKcmmQT4cPRz2TpGmL8ZOWz0RViUP7l_aV8dyFjOo5GgAYA_Qo7ckr53jkYpz2KFa4KQR4BywkCFjVveBrwwVHZ8tdhN9FG_fSm7be-TC4RShmKQ1lTFhfceq7bRl1QtfbR9ARfEcC/s1600/snowman+trans+proj.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhjO0iKcmmQT4cPRz2TpGmL8ZOWz0RViUP7l_aV8dyFjOo5GgAYA_Qo7ckr53jkYpz2KFa4KQR4BywkCFjVveBrwwVHZ8tdhN9FG_fSm7be-TC4RShmKQ1lTFhfceq7bRl1QtfbR9ARfEcC/s400/snowman+trans+proj.jpg" width="290" /></a></div>
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<span style="font-family: "trebuchet ms" , sans-serif;">We had our winter theme. This student did all of her transformations from the pre-image.</span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgDFs2HqOzk51Uo2f_L8_ZfwU4oe64Ow8-sHeQt75xIhrLRcjm10qV8tJSzgUi8lxytuUZIw3eVhlTBpY6bl9wwQuiUgHneNVxGjcsbyUukEPpKm59lz-4TfQlE_Ng8lekJKBS01C0RhClm/s1600/bow+tie+trans+pro+-+Copy.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgDFs2HqOzk51Uo2f_L8_ZfwU4oe64Ow8-sHeQt75xIhrLRcjm10qV8tJSzgUi8lxytuUZIw3eVhlTBpY6bl9wwQuiUgHneNVxGjcsbyUukEPpKm59lz-4TfQlE_Ng8lekJKBS01C0RhClm/s400/bow+tie+trans+pro+-+Copy.jpg" width="315" /></a></div>
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<span style="font-family: "trebuchet ms" , sans-serif;">There are all levels of difficulty in these pictures. I told the students to make a picture between 10 and 30 points, but not to go over 30 because that makes it too hard to finish in our 3 1/2 periods.</span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEinJ_2xLuoRUcXR1TDUkJp6q69Ohl4FUGTXnYu_qIdhfLh70ppXSB2B52C2uJMeuzOD6FzlZszcV1CQIuSINfpEovgOGAgh14Ku_-HbdfBqUNlM8YgPJssa8y4hZNyqEofo8V0O2waCFCHR/s1600/pencil+1.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="267" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEinJ_2xLuoRUcXR1TDUkJp6q69Ohl4FUGTXnYu_qIdhfLh70ppXSB2B52C2uJMeuzOD6FzlZszcV1CQIuSINfpEovgOGAgh14Ku_-HbdfBqUNlM8YgPJssa8y4hZNyqEofo8V0O2waCFCHR/s400/pencil+1.jpg" width="400" /></a></div>
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<span style="font-family: "georgia" , "times new roman" , serif;">There were a cou</span><span style="font-family: "trebuchet ms" , sans-serif;">ple of students who drew pencils and both were different. </span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiatFGSN5A4LxgQxWvd0tmA0tyzrnDl1YydpTSIr_MUX8-rdH07UlUjEIcv1DK3Bn48rSTgwOd8R56pL8cp5Ze-q4UAlge1a9Ejnid6qni83vKvd_XFijNB10He0uEUGmn9BYxK0-v41lH2/s1600/pencil+2.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiatFGSN5A4LxgQxWvd0tmA0tyzrnDl1YydpTSIr_MUX8-rdH07UlUjEIcv1DK3Bn48rSTgwOd8R56pL8cp5Ze-q4UAlge1a9Ejnid6qni83vKvd_XFijNB10He0uEUGmn9BYxK0-v41lH2/s400/pencil+2.jpg" width="311" /></a></div>
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<span style="font-family: "trebuchet ms" , sans-serif;">I love these hats!</span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEir1dU2PYqCgy59lSC1vPIoGnemPYefV-19XkdbmMlWQy2BSCnPabzTbZXXfgHCEoXDzcPjyc8kP-9nBEgjUX1L2IRWdJWJp9r9R1Hmy3Xdhj_ODAUdHl6TTPVyIzDBhWANGsksFL1R71Lx/s1600/party+hat+trans+pro.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="305" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEir1dU2PYqCgy59lSC1vPIoGnemPYefV-19XkdbmMlWQy2BSCnPabzTbZXXfgHCEoXDzcPjyc8kP-9nBEgjUX1L2IRWdJWJp9r9R1Hmy3Xdhj_ODAUdHl6TTPVyIzDBhWANGsksFL1R71Lx/s400/party+hat+trans+pro.jpg" width="400" /></a></div>
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<span style="font-family: "trebuchet ms" , sans-serif;">This student chose boxing gloves</span>.</div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEieCrAObIqL70-kCsNEjc5Wz5eRK-QsNvzqPHT0w-zYpgberXw2ypAHKKWshKM5U_ykcPWZMKeN45-G7TZEYIas8WkbqSCCVox8VliHvsQjnSRpEznglrgNdYeltq4M4TrtmVv0itrKgftW/s1600/boxing+glove+trans+pro+-+Copy.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEieCrAObIqL70-kCsNEjc5Wz5eRK-QsNvzqPHT0w-zYpgberXw2ypAHKKWshKM5U_ykcPWZMKeN45-G7TZEYIas8WkbqSCCVox8VliHvsQjnSRpEznglrgNdYeltq4M4TrtmVv0itrKgftW/s400/boxing+glove+trans+pro+-+Copy.jpg" width="286" /></a></div>
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<span style="font-family: "trebuchet ms" , sans-serif;">On this one you really have to look at the points to see what</span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;"> the transformations are because it is so symmetrical.</span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjvBFPzLZMdxppYfbH1I_LwOGKwGqqUZozN07Es7OKXaebh8rw2zHDuwvXiLGVsJnF_TuW-4ehwpKcSz7HSdZL3l-IAQy3sP-jamIn88jacElaXstySdu6u2ebsBoee8j5klPPmVEyUULTk/s1600/image+%252821%2529+-+Copy.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjvBFPzLZMdxppYfbH1I_LwOGKwGqqUZozN07Es7OKXaebh8rw2zHDuwvXiLGVsJnF_TuW-4ehwpKcSz7HSdZL3l-IAQy3sP-jamIn88jacElaXstySdu6u2ebsBoee8j5klPPmVEyUULTk/s320/image+%252821%2529+-+Copy.jpg" width="234" /></a></div>
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<span style="font-family: "trebuchet ms" , sans-serif;">This picture reminds me of a Dr. Seuss illustration.</span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjTCeiYnRVtUPhAqJ2lhyphenhyphen5hWGxkjeSP7proswpD8Rn0Ue2-DqhKNkooQ0MewbO1PQJsqLOJ23Z16KlWjPzs7-atG8zIaCFVtxnoM8s0vM5ToSKdRM08Bz6sv5Gk6ngxPHImql_FQn-WxUt1/s1600/dr+seuss+pic+trans+pro+-+Copy.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjTCeiYnRVtUPhAqJ2lhyphenhyphen5hWGxkjeSP7proswpD8Rn0Ue2-DqhKNkooQ0MewbO1PQJsqLOJ23Z16KlWjPzs7-atG8zIaCFVtxnoM8s0vM5ToSKdRM08Bz6sv5Gk6ngxPHImql_FQn-WxUt1/s400/dr+seuss+pic+trans+pro+-+Copy.jpg" width="276" /></a></div>
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<span style="font-family: "trebuchet ms" , sans-serif;">The emoticons were very popular and hard to draw. </span><span style="font-family: "trebuchet ms" , sans-serif;">This student worked so hard, and had to tape an extra sheet of graph paper to the back for </span><span style="font-family: "trebuchet ms" , sans-serif;">her picture to fit, and then had graph paper with the plastic </span><span style="font-family: "trebuchet ms" , sans-serif;">that wouldn't let her write on it. It was exhausting! </span><span style="font-family: "trebuchet ms" , sans-serif;">She worked so hard I had to post it.</span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjihugAtPMs_tOPSqlEnM0YnDSQoen0PFaZlETSlRY0lreVFqC2timvIBPFbHl2gk6Ak7EcnIsoJaNH7gL2djoQTgf0B6H2ZrIAWgBIv1aSOSFc6lYIopsTXSCIOFJ6d38_5P3IxZBUDv4D/s1600/emogee+1+-+Copy.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjihugAtPMs_tOPSqlEnM0YnDSQoen0PFaZlETSlRY0lreVFqC2timvIBPFbHl2gk6Ak7EcnIsoJaNH7gL2djoQTgf0B6H2ZrIAWgBIv1aSOSFc6lYIopsTXSCIOFJ6d38_5P3IxZBUDv4D/s400/emogee+1+-+Copy.jpg" width="342" /></a></div>
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<span style="font-family: "trebuchet ms" , sans-serif;">Another emoticons. They call them emo gees or emogees,</span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;"> but I don't know how to spell that and either does spell check.</span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;">Nice candy canes, they ate some while they were working.</span></div>
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<span style="font-family: "georgia" , "times new roman" , serif;">There is always a clown in every class and here he is. </span></div>
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<span style="font-family: "georgia" , "times new roman" , serif;">His last transformation is not correct but he made me laugh </span></div>
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<span style="font-family: "georgia" , "times new roman" , serif;">and was creative</span><span style="font-family: "georgia" , "times new roman" , serif;">.</span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;">Hope you enjoyed these. Have a wonderful holiday season.</span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;">Til next time,</span></div>
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<span style="font-family: "helvetica neue" , "arial" , "helvetica" , sans-serif;"><i>Jan</i></span></div>
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<br />Jan Lichtenbergerhttp://www.blogger.com/profile/05944365143533012776noreply@blogger.com16tag:blogger.com,1999:blog-4954629309143288516.post-58172843020918500072015-11-01T01:00:00.002-05:002015-11-08T18:05:18.135-06:00Multiplication and Division of Scientific Notation Foldable<b><span style="font-family: "helvetica neue" , "arial" , "helvetica" , sans-serif;"> </span><span style="font-family: "georgia" , "times new roman" , serif;">Hi everyone, I'm back! I have never been away from my blog for this long and I've missed writing so much. My last post was on August 20th and I try to write at least every other week which obviously hasn't been happening. The reason I've been gone is because I have a new prep which includes a new computer program that I needed to learn. Well, I finally feel like I am getting a handle on everything so I now have a little time to blog. There are 57 posts in my drafts box and I have so much to share:) </span></b><br />
<span style="font-family: "georgia" , "times new roman" , serif;"><b> My 8th grade Pre-Algebra classes are on an endless journey to learn everything they ever wanted to know about exponents. Right now we are learning how to solve multiplication and division problems written in Scientific Notation. I didn't have any luck finding foldables on this topic so I made my own. (I always like mine best anyway.) Here is the foldable I created for our Interactive Notebooks. </b></span><br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhuxQxfKoFl4okgO-C9Xj_4xmMaOgSGd7Fkfh7U2tUJFTonHeAqhABFXDqMmi1gtEXVKgTloJvXybXhg0Uj2NNeVIDeyLO0uSt8s_KEHJPN_1rfE_6jch4ZABbpOFZEINKNvc0t4WTxd5R-/s1600/Scientific+Notation+pic+pg+1.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><b><span style="font-family: "georgia" , "times new roman" , serif;"><img border="0" height="460" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhuxQxfKoFl4okgO-C9Xj_4xmMaOgSGd7Fkfh7U2tUJFTonHeAqhABFXDqMmi1gtEXVKgTloJvXybXhg0Uj2NNeVIDeyLO0uSt8s_KEHJPN_1rfE_6jch4ZABbpOFZEINKNvc0t4WTxd5R-/s640/Scientific+Notation+pic+pg+1.jpg" width="640" /></span></b></a></div>
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<b><span style="font-family: "georgia" , "times new roman" , serif;">This was actually put together at midnight the day before I taught this lesson so the left side could be changed next year. I do tend to procrastinate sometimes.</span></b><br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjFwhV3kyur0mYJhkPu2vMi7wVjX_l_9UOxshBhqrGBL7BlMD_HTvR_vLm-n9AU-OvZpiBb4GKdp5wl7Yh07TUo62StadFKyA-XnFTCKpSNw8zDqYsg3hc48WAe9_a57wCXLUjxXM4GzYja/s1600/Scientific+Notation+pic+pg+2.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><b><span style="font-family: "georgia" , "times new roman" , serif;"><img border="0" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjFwhV3kyur0mYJhkPu2vMi7wVjX_l_9UOxshBhqrGBL7BlMD_HTvR_vLm-n9AU-OvZpiBb4GKdp5wl7Yh07TUo62StadFKyA-XnFTCKpSNw8zDqYsg3hc48WAe9_a57wCXLUjxXM4GzYja/s640/Scientific+Notation+pic+pg+2.jpg" width="510" /></span></b></a></div>
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<b><span style="font-family: "georgia" , "times new roman" , serif;">The foldable turned out to be the perfect size for our composition notebooks. Love it!</span></b></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg5qJ1w0jCtI2pMIXW7yNpL2VCV6NtIHGUj8NtXBrBw43WyVahbEaCSvdNeMoSsO_yRoE1MAEqm-Lj3U-Et7O9POcZVGQh8cfMsiqSgVGaybXYbTV8dgetCbtVWv_npmDB4_XRLq3NIH0ax/s1600/Scientific+Notation+pic+pg+3.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><b><span style="font-family: "georgia" , "times new roman" , serif;"><img border="0" height="478" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg5qJ1w0jCtI2pMIXW7yNpL2VCV6NtIHGUj8NtXBrBw43WyVahbEaCSvdNeMoSsO_yRoE1MAEqm-Lj3U-Et7O9POcZVGQh8cfMsiqSgVGaybXYbTV8dgetCbtVWv_npmDB4_XRLq3NIH0ax/s640/Scientific+Notation+pic+pg+3.jpg" width="640" /></span></b></a></div>
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<b><span style="font-family: "georgia" , "times new roman" , serif;">Don't let the division tab confuse you. It is the tab for the next section even though multiplication problems are written on this page. You can always cut it off because there is another division tab underneath. I became frustrated trying to get everything to line up so I just left the tab.</span></b></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi6z0ZvsEd4OSEVDfoWnEu1ZB4XRUWHEpOtyPdxUv_7yyEOS1IXBrUxHDZubJMAxdLT9TWthK1JujObN0pZcQj13ck1v8QannBiMg3-n856h_pP9rVU8-vg2F5e_nXQZH0sQZq_5yuXL3xb/s1600/Scientific+Notation+pic+pg+4.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><b><span style="font-family: "georgia" , "times new roman" , serif;"><img border="0" height="462" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi6z0ZvsEd4OSEVDfoWnEu1ZB4XRUWHEpOtyPdxUv_7yyEOS1IXBrUxHDZubJMAxdLT9TWthK1JujObN0pZcQj13ck1v8QannBiMg3-n856h_pP9rVU8-vg2F5e_nXQZH0sQZq_5yuXL3xb/s640/Scientific+Notation+pic+pg+4.jpg" width="640" /></span></b></a></div>
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<b><span style="font-family: "georgia" , "times new roman" , serif;">Sorry, there's a grammatical error here. It should say only the<span style="font-style: italic;"> </span><i>numbers are</i> divided. </span></b><br />
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<span style="font-family: "georgia" , "times new roman" , serif;"><b>Overall, I like how the foldable turned out. Hope you do too.</b></span><br />
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<b><span style="font-family: "georgia" , "times new roman" , serif;">Click here to download the foldable:<br />
<a href="https://www.dropbox.com/s/gbjf0gfo0n9xvof/operations%20with%20scientific%20notation%20%20final.pdf?dl=0" target="_blank">Multiplying and Dividing with Scientific Notation Foldable</a></span></b><br />
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<span style="font-family: "georgia" , "times new roman" , serif;"><b>And I'll leave you with a link to <a href="https://www.youtube.com/user/mrcolindodds" target="_blank">Colin Dodds</a> Scientific Notation Video. My kids absolutely love Colin Dodds. Enjoy.</b></span><br />
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<b><span style="font-family: "georgia" , "times new roman" , serif;">Til next time,</span></b></div>
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<b><span style="font-family: "georgia" , "times new roman" , serif;">Which will be soon I promise,</span></b></div>
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<b><i><span style="font-family: "georgia" , "times new roman" , serif;">Jan</span></i></b></div>
<span style="font-family: "helvetica neue" , "arial" , "helvetica" , sans-serif;"><br /></span>Jan Lichtenbergerhttp://www.blogger.com/profile/05944365143533012776noreply@blogger.com2tag:blogger.com,1999:blog-4954629309143288516.post-35549461550964235112015-08-20T00:18:00.000-05:002018-08-14T22:54:33.561-05:00Beginning of the school year and Interactive Notebooks - Beginning Year Three<div class="separator" style="clear: both; text-align: center;">
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<span style="font-family: "georgia" , "times new roman" , serif;"> School has started! We had 3 days of in-service and PD last week. One of the best parts of the training is catching up with friends from other buildings that I have worked with over the years. My district is large with seven middle schools and five high schools. I've been on lots of committees and worked in three different buildings so there were lots of people to see. When I was talking to several people some of them asked me what an interactive notebook was and how to use it. This made me realize I would like to share in a little more detail how I use interactive notebooks in my classroom and what the first few days of class are like in my room.</span><br />
<span style="font-family: "georgia" , "times new roman" , serif;"> There are so many Numbers about Me projects out there and they are all great. I love Sarah's from <a href="http://mathequalslove.blogspot.com/2013/08/numbers-about-me.html" target="_blank"><b><i><span style="color: blue;">Math = Love</span></i></b></a>. It is short, which I need on the first day of class and an easy way for me to add color to my classroom. I start with a PowerPoint presentation about me. Numbers are on the screen and the kids need to guess why that number is important to me. It's a fun way to introduce myself to them. Examples are the number of years I've been married, the number of children we have, 13 the number of letters in my last name and so on. Then they fill out the numbers about me sheet. I put a few restrictions on the numbers they can use. They cannot pick their age or grade since they would all have the same number. We have 45 minute periods so by the time I go through PBIS tools, the PowerPoint and this activity the period is over. I collect them and get to know a little about each of the students and hang them up in the classroom.</span><br />
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<span style="font-family: "georgia" , "times new roman" , serif; font-size: small;">This is from last year. Each class had a different color piece of paper for the </span><span style="color: blue; font-family: "georgia" , "times new roman" , serif; font-size: small; font-style: italic; font-weight: bold;"> </span><span style="font-family: "georgia" , "times new roman" , serif; font-size: small; font-style: italic; font-weight: bold;"><a href="http://mathequalslove.blogspot.com/2013/08/numbers-about-me.html" target="_blank"><span style="color: blue;">Numbers about Me</span></a><span style="color: blue;"> </span></span><span style="font-family: "georgia" , "times new roman" , serif; font-size: small;">by Sarah at </span><span style="font-family: "georgia" , "times new roman" , serif; font-size: small;">Math = Love. The </span><a href="http://everybodyisageniusblog.blogspot.com/2013/07/kid-friendly-mathematical-practices.html" style="font-family: Georgia, 'Times New Roman', serif; font-size: medium;" target="_blank"><i><b><span style="color: blue;">kid friendly Math Practice Posters</span></b></i></a><span style="font-family: "georgia" , "times new roman" , serif; font-size: small;"> above the board are from the other Sarah at Everyone is a genius.</span></div>
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<span style="font-family: "georgia" , "times new roman" , serif;">The next day the kids discovered what learning style they have. I love the <a href="http://everybodyisageniusblog.blogspot.com/2012/07/learning-styles.html" style="color: blue; font-style: italic; font-weight: bold;" target="_blank">Learning Styles</a><span style="color: blue; font-style: italic; font-weight: bold;"> </span>survey from Sarah at Everyone is a Genius. I did however have difficulty downloading it so I decided to make it a foldable. Thanks Sarah for the very detailed post on how to use these in the classroom. Stop by and read Sarah's information and how she follows up with the students. This is a great way to help kids develop study skills that are personalized to how they learn. Both these pages are adapted from Sarah's post.</span><br />
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<span style="font-family: "georgia" , "times new roman" , serif;">I always thought I was a visual learner so it was a surprise the see I was actually kinesthetic. No wonder I love foldables and INB's so much, they are hands-on activities with a lot of movement. I also NEVER sit while I am teaching so that was a big clue. The list on my thumb is not on the kinesthetic learner suggestions but I know it works for me so I added it. As a matter of fact I have lists that tell me what list to look at. I'm serious about that!</span><br />
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<span style="font-family: "georgia" , "times new roman" , serif;">After the kids finished the survey we had them look at Sarah's (<a href="http://everybodyisageniusblog.blogspot.com/2012/07/learning-styles.html" target="_blank"><b><i><span style="color: blue;">everyone is a genius</span></i></b></a> Sarah) learning style suggestions for ideas on how they can use their learning style to help them improve their retention when they study. Now I want to use this information in class to help them as well.</span><br />
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<span style="font-family: "georgia" , "times new roman" , serif;">There will be more later this week. I'm excited to share how we start our notebooks and how the beginning pages work. The first week of school is crazy with everyday having PBIS tools to teach. (PBIS stands for Positive Behavioral Interventions and Supports. For more information go to<span style="color: blue;"><b><i> </i></b></span><b><i><span style="color: blue;"><a href="http://www.pbis.org/" target="_blank"><span style="color: blue;">www.pbis.org</span></a>.</span></i></b>) I will be doing much more next week.</span><br />
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<span style="font-family: "georgia" , "times new roman" , serif;">Thanks again to the two Sarah's. Without them I would never have started using Interactive Notebooks.</span><br />
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<span style="font-family: "georgia" , "times new roman" , serif;">Here is a copy of the <a href="https://www.dropbox.com/s/ebua80sgtbw4489/Learning%20Styles%20Survey%20final%20.pdf?dl=0" target="_blank"><i><b>Learning Styles Foldabl</b></i>e</a> I made.</span><br />
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<span style="font-family: "georgia" , "times new roman" , serif;">Til next time,</span></div>
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<i>Jan</i></h3>
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Jan Lichtenbergerhttp://www.blogger.com/profile/05944365143533012776noreply@blogger.com0tag:blogger.com,1999:blog-4954629309143288516.post-1115560572083592242015-07-26T00:22:00.001-05:002015-07-26T00:28:29.784-05:00Kagan Structures- Creating your groups (teams)<div class="separator" style="clear: both; text-align: center;">
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<span style="font-family: Georgia, Times New Roman, serif;">Last year, as part of our school improvement plan, all the teachers in my building participated in three professional development days with a certified Kagan instructor. We will finish the last two training sessions on cooperative learning this coming school year. If you ever have the opportunity to go to a training do it. It's amazing and so much more than just cooperative learning groups. The entire training is hands on and you participate as a student would in your class. You can walk into your classroom the next day and use structures with the kids immediately. Go to<b><span style="color: #cc0000; font-style: italic; text-decoration: underline;"> </span><a href="http://www.kaganonline.com/" target="_blank"><span style="color: blue;">Kagan online</span></a><span style="color: #cc0000;"> </span></b>to get more information.</span><br />
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<span style="font-family: Georgia, Times New Roman, serif;"> The first thing I needed to do last year was to set up my groups. At the beginning of the year I started with random groups, which was fine for the first couple of weeks, but this year I am going to start immediately with heterogeneous groups. Our students take the MAP (Measures of Academic Progress) test three times during the year. I will have access to their spring MAP test scores from last year that will help me create the groups. You can use any test that you want, as the year went on I used pre-tests and formative and summative assessments as well.</span><br />
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<span style="font-family: Georgia, Times New Roman, serif;"> Kagan believes that groups of four students is optimal. Each group should have two boys and two girls. This isn't always possible so I do as many as I can and then make all boy or all girl teams. If there is an odd number of students in the class then there will be a group of five or sometimes two groups of three with the remaining groups having four students. I did vary this last year with a couple of students that were boys. They were non-stop off task students when with another boy so they were placed in groups of all girls. Those girls kept them in line and they definitely had better behavior to impress the ladies. (This was not a Kagan suggestion. Just something that worked for me.)</span><br />
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<span style="font-family: Georgia, Times New Roman, serif;"> To create my groups I needed my class rosters, the list with student MAP scores, a pile of index cards and colored pencils that match the colors of the groups.</span><br />
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<li><span style="font-family: Georgia, Times New Roman, serif;">On the top of the index card I placed the students name and their MAP math and reading score and if they were a second language learner. With my second language learners I place another student who speaks the same language if possible.</span></li>
<li><span style="font-family: Georgia, Times New Roman, serif;">Next, I placed all of the index cards in order according to math MAP scores from highest to lowest. The I divided the index cards into 4 groups, HIGH, HIGH MEDIUM, LOW MEDIUM and LOW scores. </span></li>
<li><span style="font-family: Georgia, Times New Roman, serif;">Each group has one of each level student. Take a card from each of the groups of index cards and you have your teams.</span></li>
<li><span style="font-family: Georgia, Times New Roman, serif;">On each index card I use a colored pencil to mark the team the students are placed in. In my classroom I have different colored stars above each of the teams, yellow, green, red, purple, pink, orange, blue and salmon. By placing the colors on the index cards I can make sure that when I change groups the students aren't place with the same peers again.</span></li>
<li><span style="font-family: Georgia, Times New Roman, serif;">When placing the students in the groups you have them seated like this: </span></li>
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<span style="font-family: Georgia, Times New Roman, serif;"> LOW MEDIUM LOW</span><br />
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<li><span style="font-family: Georgia, Times New Roman, serif;"> The high student next to the low medium can help that student when they work as shoulder partners and the high medium can help the low student in their understanding. Also having students with similar levels across from each other helps them to feel comfortable with students who are closer to their levels when working as face partners. I always had these students sitting next to each other but staggered the arrangements in the groups so they couldn't figure out who was the low or high one in each team. Groups should be changed about every six weeks.</span></li>
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<span style="font-family: Georgia, Times New Roman, serif;"> There are desks not tables in my room which works out very well. When they take assessments I have them move to rows. We practice this the first week of school. I also noticed when I lecture they didn't pay attention so now when I lecture I have them facing forward and not in groups. (I don't lecture too much but when I do this seems to work for my kids.) It will be interesting having students this year who know the Kagan structures and expectations. I can't wait to see how much better there participation and understanding is.</span></div>
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<span style="font-family: Georgia, Times New Roman, serif;"> On a side note, one of the claims of Kagan is that their structures improve learning for all students because of the level of engagement involved. Last year my school had the highest gains of all eight middle schools in the district on MAP scores. Now I am here to tell you my school is always right in the middle. We have a 65% poverty rate with the majority of our students who are second language learners (which several of the other schools do not), and we never have the highest gains. The only thing we did differently was this training and all the teachers used these structures in their classrooms. Hmmmm... very interesting. </span></div>
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<span style="color: blue; font-family: Georgia, Times New Roman, serif;"><span style="color: blue;"><b>To buy this book go to :</b></span></span><br />
<span style="color: blue; font-family: Georgia, Times New Roman, serif;"><span style="color: blue;"><b> <a href="http://www.kaganonline.com/catalog/bestsellers.php" target="_blank"><span style="color: blue;">Kagan Cooperative Learning on Kagan</span></a></b></span><b> website</b></span><br />
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<span style="font-family: Georgia, Times New Roman, serif;"><span style="color: blue;"><b>or </b></span><span style="color: blue;"><b>Kagan Cooperative learning on Amazon.</b></span></span><br />
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<span style="text-align: start;"><span style="font-family: Georgia, Times New Roman, serif;"> Chapter 7 of Kagan Cooperative Learning goes into great detail as to how form groups. </span></span><br />
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<span style="font-family: Georgia, Times New Roman, serif;"><span style="background-color: white; color: #191919; font-size: 15.8400001525879px; line-height: 22.1760005950928px; text-align: start;"> </span><i style="background-color: white; color: #191919; font-size: 15.8400001525879px; line-height: 22.1760005950928px; text-align: start;">Disclaimer: I am not a certified Kagan instructor. All of the information given are my thoughts and reflections of the training I attended.</i></span><br />
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Jan Lichtenbergerhttp://www.blogger.com/profile/05944365143533012776noreply@blogger.com0tag:blogger.com,1999:blog-4954629309143288516.post-41736451271725922982015-07-10T23:05:00.000-05:002016-02-28T23:21:52.151-06:00Pythagorean Stacks<span style="font-family: "georgia" , "times new roman" , serif;">I absolutely love this post from great maths teaching ideas for a <a href="http://www.greatmathsteachingideas.com/2012/03/12/trigonometry-pile-up/" style="color: blue; font-style: italic; font-weight: bold;" target="_blank">trigonometry-pile-up</a><span style="color: blue; font-style: italic; font-weight: bold;">. </span>However, I don't teach trigonometry in my 8th grade math classes but I do teach Pythagorean Theorem. I decided to make triangle stacks that cover this topic. The first unit for my Algebra students is Pythagorean Theorem. It isn't a topic we usually cover in Algebra but the students are eighth graders and they will be tested on this material so we will cover it at the beginning of the year. Toward the end of the school year I will use this activity with my Pre-Algebra students as well. </span><br />
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<tr><td class="tr-caption" style="text-align: center;"><span style="font-family: "georgia" , "times new roman" , serif;">Silly students, don't look for answers here. You will not find them as I don't post answers that can be copied. </span><br />
<b><span style="font-size: small;">(The diagram is definitely not to scale.)</span></b><br />
<b><span style="font-size: small;">The correct worksheet is the downloaded copy. It has the corrections. Sorry for the confusion. I need to update that picture one of these days. </span></b></td></tr>
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<span style="font-family: "georgia" , "times new roman" , serif;">All of the answers are integers so I may use this in conjunction with the Pythagorean Triple lessons that I will be doing with the students. Students will place numbers in each of the triangles starting at the bottom so it will be easy to follow their work. They willstart at the bottom of the puzzle to find answers and work their way up to the top triangle to find the missing side. I plan to have the students place this in their interactive notebooks.</span></div>
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<span style="font-family: "georgia" , "times new roman" , serif;">I can't tell you how many times I made this diagram. I thought it was perfect until the area where the green, blue, yellow and purple triangles intersect. I was 1 cm off, Yikes! So I adjusted the picture and hope you understand what it means. All in all I am very pleased with how it turned out. It will be interesting to see how it works with the two different groups of students. My concern is that it will be too easy for the Algebra kids but too hard for many of the Pre-Algebra kids. I'll let you know.</span></div>
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Click here to download the <a href="https://www.dropbox.com/s/74vycz9xoj97p3t/Pythagorean%20Theorem%20stack%20final%20one%20really%20corrected.pdf?dl=0" target="_blank"><span style="color: blue;"><b>Pythagorean Stacks</b></span></a> worksheet.</span><br />
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<span style="font-family: "georgia" , "times new roman" , serif;">Hope you all are enjoying your summer! School starts in one month for us. Too much planning to do and so little time. UGH!</span><br />
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<span style="font-family: "georgia" , "times new roman" , serif;">Til next time,</span></div>
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<span style="font-family: "georgia" , "times new roman" , serif;"><i>Jan</i></span></div>
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Jan Lichtenbergerhttp://www.blogger.com/profile/05944365143533012776noreply@blogger.com124tag:blogger.com,1999:blog-4954629309143288516.post-3494084825764024332015-06-15T23:42:00.001-05:002017-02-28T10:45:13.040-06:00Slope Triangles<div class="separator" style="clear: both; text-align: center;">
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<b><span style="font-family: "georgia" , "times new roman" , serif;"> Here is another post that has been in my drafts since March. Oh my! Thank goodness I have summer to sit down and share these with you. Enjoy:) </span></b><br />
<span style="font-family: "georgia" , "times new roman" , serif;"><b> </b><b>This was the first time I have taught slope triangles. Actually, and don't judge me, I've never given them any time in my curriculum. That changed this year as I decided to spend several days working with them in my Pre-Algebra 8th grade classes. </b></span><br />
<b><span style="font-family: "georgia" , "times new roman" , serif;"> We started our unit with Fawn Nguyen's awesome lesson using staircases to begin our discussion of slope. I know that Fawn used this with her 6th graders but it was appropriate to use with my Pre-Algebra classes. Here is the link to<i><span style="color: blue;"> </span></i><a href="http://fawnnguyen.com/staircase-steepness/" target="_blank"><i><span style="color: blue;">Fawn's first of two posts</span></i> </a>on this activity. Fawn goes into great detail explaining the questioning and student interaction. Take time to read her posts, they are awesome. Thanks Fawn! My students completed the worksheet in one class period. I'm hoping that next year we will spend more time with our discussions.</span></b><br />
<b><span style="font-family: "georgia" , "times new roman" , serif;"> I love the video that Fawn shared from the Utah Avalanche Center discussing the slope of hills and avalanches. We showed this at the beginning of class the next day.</span></b><br />
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<b><span style="font-family: "georgia" , "times new roman" , serif;"> Next we did an interactive notebook page on counting to find slope. </span></b></div>
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<b><span style="font-family: "georgia" , "times new roman" , serif;">We drew slope triangles and labeled them. </span></b></div>
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<span style="font-family: "georgia" , "times new roman" , serif; font-weight: bold;">Then they did the INB page below with their partners. </span></div>
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<span style="font-family: "georgia" , "times new roman" , serif; font-weight: bold;">I probably should have added a vertical line on this page as well.</span></div>
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<span style="font-family: "georgia" , "times new roman" , serif;"><b>Followed by this activity from</b><b><i> <span style="color: blue;"><a href="http://illuminations.nctm.org/Lesson.aspx?id=2570" target="_blank">illuminations</a>.</span></i></b></span></div>
<b><span style="font-family: "georgia" , "times new roman" , serif;"> <img alt="2570-Pic-Triangle1" src="http://illuminations.nctm.org/uploadedImages/Content/Lessons/Images/9-12/triangles1.jpg" /><img alt="2570 triangles 2" src="http://illuminations.nctm.org/uploadedImages/Content/Lessons/Images/6-8/triangles2.jpg" height="200" width="192" /><img alt="2570 triangles3" src="http://illuminations.nctm.org/uploadedImages/Content/Lessons/Images/6-8/triangles3.jpg" /></span></b><br />
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<span style="font-family: "georgia" , "times new roman" , serif;"><span style="text-align: start;"><b> </b></span><b style="text-align: start;">There were a few other activities that I will share in a later post.</b></span></div>
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<b style="text-align: start;"><span style="font-family: "georgia" , "times new roman" , serif;"><br /></span></b></div>
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<span style="font-family: "georgia" , "times new roman" , serif;"> <b>Of course we watched Colin Dodds Slope video. </b></span></div>
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<b><span style="font-family: "georgia" , "times new roman" , serif;">The kids love his songs and so do I!</span></b></div>
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<span style="font-family: "georgia" , "times new roman" , serif;"><iframe allowfullscreen="" class="YOUTUBE-iframe-video" data-thumbnail-src="https://ytimg.googleusercontent.com/vi/qE463XcV1Ro/0.jpg" frameborder="0" height="266" src="http://www.youtube.com/embed/qE463XcV1Ro?feature=player_embedded" width="320"></iframe></span></div>
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<b><span style="font-family: "georgia" , "times new roman" , serif;"> It was worth spending this amount of time on slope triangles. It gave the students an added visual for finding slope that I know many of them need. I was happy with how much the slope triangles helped my struggling students. When they would hear the words slope triangle they knew exactly what they needed to do. </span></b><br />
<b><span style="font-family: "georgia" , "times new roman" , serif;"> </span></b></div>
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<b><span style="font-family: "georgia" , "times new roman" , serif;">Click here for a copy of the documents:</span></b></div>
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<span style="color: blue; font-family: "georgia" , "times new roman" , serif;"><b><a href="https://www.dropbox.com/s/7wroyuq8evepqiq/Slope%20formula%20INB%20%281%29.pdf?dl=0" target="_blank"><i>Count to find slope</i></a></b></span></div>
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<span style="color: blue; font-family: "georgia" , "times new roman" , serif;"><b><a href="https://www.dropbox.com/s/8sf527kdkmo03s4/slope%20triangles%20INB%203.pdf?dl=0" target="_blank"><i>Slope Triangles INB </i></a></b></span></div>
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<span style="color: blue; font-family: "georgia" , "times new roman" , serif;"><b><i>I<a href="http://illuminations.nctm.org/Lesson.aspx?id=2570" target="_blank">lluminations lesson on slope triangles</a></i></b></span><br />
<span style="color: blue; font-family: "georgia" , "times new roman" , serif;"><br /></span>
<b><span style="font-family: "georgia" , "times new roman" , serif;">Til next time,</span></b><br />
<b><i><span style="font-family: "georgia" , "times new roman" , serif;">Jan</span></i></b></div>
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Jan Lichtenbergerhttp://www.blogger.com/profile/05944365143533012776noreply@blogger.com4tag:blogger.com,1999:blog-4954629309143288516.post-38446640279847919082015-06-09T23:44:00.000-05:002015-06-09T23:46:02.180-05:00HOY and VUX foldable - updated<div style="margin-left: 1em; margin-right: 1em; text-align: justify;">
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<b style="font-family: 'Trebuchet MS', sans-serif; text-align: left;">I'm cleaning out the drafts that I started so disregard the statement that I am still in school. You will see lots of posts like this in the next few days. </b></div>
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<span style="font-family: Trebuchet MS, sans-serif; text-align: left;"><b>So much to do and so little time. It is nearing the end of the school year and I'm crazed!!!! </b></span><b style="font-family: 'Trebuchet MS', sans-serif; text-align: left;">This picture sums up how I feel right now. Our middle daughter is a first year high school science teacher and she asked me, " Mom is the end of the year always like this? I am so stressed and can't get everything done." I answered, "Yes sweetheart it is. Then June will come, you will sleep for one month and wake up in July and feel normal again."</b></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjtF-u_rJyMyQP7DlNn-ZF5slvnm7Zdira3ydbECnyez0Ac6GKKDSpdPAApqZSChVVwUZ-vJeIiR3QXgIBxOHpNDl20fnSu8gf_Am-MAHCspZokskodfqPfFbiNuDIIKpkR5C63iG-fIXzv/s1600/owl+teacher+pic.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="font-family: Trebuchet MS, sans-serif;"><b><img border="0" height="497" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjtF-u_rJyMyQP7DlNn-ZF5slvnm7Zdira3ydbECnyez0Ac6GKKDSpdPAApqZSChVVwUZ-vJeIiR3QXgIBxOHpNDl20fnSu8gf_Am-MAHCspZokskodfqPfFbiNuDIIKpkR5C63iG-fIXzv/s1600/owl+teacher+pic.jpg" width="640" /></b></span></a></div>
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<span style="font-family: Trebuchet MS, sans-serif;"><b>(This has been on Facebook and I'm sure you've seen it. </b></span></div>
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<span style="font-family: Trebuchet MS, sans-serif;"><b>I searched for the originator of this picture with no success.</b></span></div>
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<span style="font-family: Trebuchet MS, sans-serif;"><b>I have no idea who created this so I can't give credit. )<span style="font-size: x-small;"> </span></b></span></div>
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<span style="font-family: Trebuchet MS, sans-serif;"><b>So to save my sanity, I am going to post lots of odds and ends over the next few days. I literally have 50 drafts of bits and pieces of posts waiting to be finished. It's time to clean out that draft folder and start sharing. So here is the first one. </b></span></div>
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<span style="font-family: Trebuchet MS, sans-serif;"><b>One of my first posts on this blog was my HOY and VUX graphic organizer. See original post <a href="http://equationfreak.blogspot.com/2014/01/graphing-horizontal-and-vertical-lines_4739.html" target="_blank">HERE</a>. </b></span><b style="font-family: 'Trebuchet MS', sans-serif;">This is an updated version made into a foldable. I think I like this one more.</b></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhiOPONLOO0K9MqP2r58LKi6GPuo-J5yISLfq8KtmQyfRO5MpNi5MNJEHe5XYH7mcS_PfxCFu30l1nWUpWTbvIGRc6lRrnptdNd4lm4korXcX6DfqP0LXoZovcNIHmTK6M6WZoS_lxICchh/s1600/foldable+cover.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="font-family: Trebuchet MS, sans-serif;"><b><img border="0" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhiOPONLOO0K9MqP2r58LKi6GPuo-J5yISLfq8KtmQyfRO5MpNi5MNJEHe5XYH7mcS_PfxCFu30l1nWUpWTbvIGRc6lRrnptdNd4lm4korXcX6DfqP0LXoZovcNIHmTK6M6WZoS_lxICchh/s1600/foldable+cover.jpg" width="457" /></b></span></a></div>
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<span style="font-family: Trebuchet MS, sans-serif; margin-left: 1em; margin-right: 1em;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhgkBtvCYQoa1ljHCcKVugJgUItk9eVRT5lIR0WEy_liFr5_0PB39PzfdwQweUkE_p5VbwP8YKR5u5oATtPEXi2IBz9xp63PH7jhd-OQU0_OnwSjbVcR_fGWzma-a-t7UoZ8XnOQZiIoEy3/s1600/Hoy+and+Vux+foldable+inside.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><b><img border="0" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhgkBtvCYQoa1ljHCcKVugJgUItk9eVRT5lIR0WEy_liFr5_0PB39PzfdwQweUkE_p5VbwP8YKR5u5oATtPEXi2IBz9xp63PH7jhd-OQU0_OnwSjbVcR_fGWzma-a-t7UoZ8XnOQZiIoEy3/s1600/Hoy+and+Vux+foldable+inside.jpg" width="640" /></b></a></span></div>
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<span style="font-family: Trebuchet MS, sans-serif;"><b> Click here to download the <a href="https://www.dropbox.com/s/pzu37q7aduyekoa/Hoy%20and%20Vux%20foldable%20%28final%29.pdf?dl=0" target="_blank">HOY and VUX Fold</a><a href="https://www.dropbox.com/s/pzu37q7aduyekoa/Hoy%20and%20Vux%20foldable%20%28final%29.pdf?dl=0" target="_blank">able</a>.</b></span><br />
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<span style="font-family: Trebuchet MS, sans-serif;"><b>I still have the HOY written horizontally and the VUX written vertically which is one aspect of the original that I really thought was helpful for the kids.</b></span></div>
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<span style="font-family: Trebuchet MS, sans-serif;"><b>Hope you enjoy the updated version.</b></span></div>
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<span style="font-family: Trebuchet MS, sans-serif;"><b>Til next time,</b></span></div>
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<span style="font-family: Trebuchet MS, sans-serif;"><b>Jan</b></span></div>
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<br />Jan Lichtenbergerhttp://www.blogger.com/profile/05944365143533012776noreply@blogger.com0tag:blogger.com,1999:blog-4954629309143288516.post-37571997880228765552015-06-03T23:26:00.000-05:002015-06-14T21:31:04.293-05:00Too good to throw away - Circle Graph Project <span style="font-family: Georgia, Times New Roman, serif;"> YES! Today was our last day of school and I am so exhausted. Not because of the craziness of the year but because the building is being painted this summer and we had to pack up our rooms. I usually leave posters on the walls, books in bookcases, have bulletin boards up before I leave, but not this year. I literally have 5-four drawer file cabinets filled to the brim with projects, worksheets, tests and quizzes. I had to place a couple drawers of each in boxes so the file cabinets wouldn't be so heavy. I also have one closet and two big cabinets filled with stuff. (A lot of this is math department supplies and I am the Lead Teacher who gets to store it all.) Thirty years of stuff. UGH! I envy my younger colleagues who have everything stored digitally. It's my goal to have everything saved digitally but having time to go through all of it, and sort, file, throw or scan everything is overwhelming. But I made a little progress today. I threw out 2 file drawers of materials on topics that are no longer part of the curriculum so it is a start.</span><br />
<span style="font-family: Georgia, Times New Roman, serif;"> During my cleaning frenzy, I found a project a student completed five years ago that I use to do with the kids at the end of the year on circle graphs. I would count this project as a test grade, which now I would call a summative assessment. I love this project because it involves angle measures, percents, data collection, constructing circle graphs and of course coloring. I miss doing this unit. Sigh :(</span><br />
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<b><span style="font-family: Georgia, Times New Roman, serif;">Circle graph project <o:p></o:p></span></b></div>
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<span style="font-family: Georgia, Times New Roman, serif;"><b>Directions:<o:p></o:p></b></span></div>
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<span style="font-family: Georgia, Times New Roman, serif;"><b>You are going to create a circle graph that displays the
activities that you do in a 24 hour period. Everyone’s data will be different
and all the circle graphs will be unique to the person that completes it.<o:p></o:p></b></span></div>
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<li class="MsoNormal"><span style="font-family: Georgia, Times New Roman, serif;"><b>First, you will need to make a list of all the activities that you are involved
in over a 24 hour period and place them on the chart. <o:p></o:p></b></span></li>
<li class="MsoNormal"><span style="font-family: Georgia, Times New Roman, serif;"><b>Next, you will write down the times that you are involved in those activities.
You will need to change the time to minutes.</b></span></li>
<li class="MsoNormal"><span style="font-family: Georgia, Times New Roman, serif;"><b>Then
you will find the percent of the day that activity takes.<o:p></o:p></b></span></li>
<li class="MsoNormal"><span style="font-family: Georgia, Times New Roman, serif;"><b>Then
you will change the percent to the degrees that it would represent in a
circle graph.<o:p></o:p></b></span></li>
<li class="MsoNormal"><span style="font-family: Georgia, Times New Roman, serif;"><b>After
the chart is completed you will create your circle graph.<o:p></o:p></b></span></li>
<li class="MsoNormal"><span style="font-family: Georgia, Times New Roman, serif;"><b>Use
the compass to draw a circle that has a radius of 3 inches on the
construction paper you have been given.<o:p></o:p></b></span></li>
<li class="MsoNormal"><span style="font-family: Georgia, Times New Roman, serif;"><b>Cut
out your circle. <o:p></o:p></b></span></li>
<li class="MsoNormal"><span style="font-family: Georgia, Times New Roman, serif;"><b>Now
draw your circle graph using the information on your chart using your
protractor. <o:p></o:p></b></span></li>
<li class="MsoNormal"><span style="font-family: Georgia, Times New Roman, serif;"><b>Your
circle graph will need to be labeled with the activity and percentage on
each sector of the graph.<o:p></o:p></b></span></li>
<li class="MsoNormal"><span style="font-family: Georgia, Times New Roman, serif;"><b>You
will need to color your circle graph as well.<o:p></o:p></b></span></li>
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<span style="font-family: Georgia, Times New Roman, serif;"><b>You will be graded on neatness and how the circle graph is
displayed. I will check all of the computations and degrees and grade you on
the accuracy of your answers.<o:p></o:p></b></span></div>
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<span style="font-family: Georgia, Times New Roman, serif;"><b>This will count as a test grade as this is a major project.</b></span><o:p></o:p></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEimV1XBPbpPwo21e7MYdQOys9FjoqoMU07LP_TdAQ2RLYrUZqSbHPU101nPCZ-Yu9VKMfQrIQnMJ40Z7yMxtTqT7nDYg8GVmte3nPAmjpryaYq0k8yvrqKkjUa71oPusA8LxJ82nl6O0HI0/s1600/circle+graph+2.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="586" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEimV1XBPbpPwo21e7MYdQOys9FjoqoMU07LP_TdAQ2RLYrUZqSbHPU101nPCZ-Yu9VKMfQrIQnMJ40Z7yMxtTqT7nDYg8GVmte3nPAmjpryaYq0k8yvrqKkjUa71oPusA8LxJ82nl6O0HI0/s640/circle+graph+2.jpg" width="640" /></a></div>
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<span style="font-family: Georgia, Times New Roman, serif;">I got them started on some of the categories. Electronics and TV were separated so I could see the difference. I would probably group them together now as many kids watch TV on their IPADS or phones. Look at the homework section. I would say many of my kids don't spend that much time on homework. Sad. </span><br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiAv9scVIWmC9pSiG7VF0CuFgVzKxn6WF4lzePQbx9yVVNUzkMpTN7MZ18EQbgREFlolBT8OvR75JM3DTER30g9EI0irl1GaXHJuZIhNhm9FG71wO0Y2u7BUAUqdqhqCMeStmBKQ7BeMiTA/s1600/photo+1+%25287%2529.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiAv9scVIWmC9pSiG7VF0CuFgVzKxn6WF4lzePQbx9yVVNUzkMpTN7MZ18EQbgREFlolBT8OvR75JM3DTER30g9EI0irl1GaXHJuZIhNhm9FG71wO0Y2u7BUAUqdqhqCMeStmBKQ7BeMiTA/s640/photo+1+%25287%2529.JPG" width="468" /></a> </div>
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Click here to download <a href="https://www.dropbox.com/s/nqbl9jtpso530m4/Circle%20graph%20project%20template.pdf?dl=0" target="_blank">circle graph chart</a> and directions.</div>
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I've learned not to post answers that can be copied.</div>
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<span style="font-family: Georgia, Times New Roman, serif;"> I don't have a rubric but this is a copy of the grade sheet I gave each student. It would not be on a percentage basis if I were doing this today. We grade on a 4-point scale now.</span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEixatcljXYGCUz0HzcDpBIVm2GZdYupzGtMypBFi-GBhu-5tKViwYxB_zDw5yWYeHg5SuzqyqhfDbMi-GXmX3tTSH-cXV0Vo-zONP0bmCWnslG3BA0Tlv8IkbfXZZJ-gV3cPWUHpTaKXqiP/s1600/grade+sheet.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEixatcljXYGCUz0HzcDpBIVm2GZdYupzGtMypBFi-GBhu-5tKViwYxB_zDw5yWYeHg5SuzqyqhfDbMi-GXmX3tTSH-cXV0Vo-zONP0bmCWnslG3BA0Tlv8IkbfXZZJ-gV3cPWUHpTaKXqiP/s640/grade+sheet.jpg" width="372" /></a></div>
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<span style="font-family: Georgia, Times New Roman, serif;">I can't believe I had this in my files. Now I'm going to look for an awesome Weather Project I use to do about 15 years ago. We used newspapers, imagine that. LOL. </span></div>
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<span style="font-family: Georgia, Times New Roman, serif;">Til next time,</span></div>
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<span style="font-family: Georgia, Times New Roman, serif;"><i><b>Jan</b></i></span></div>
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Jan Lichtenbergerhttp://www.blogger.com/profile/05944365143533012776noreply@blogger.com2tag:blogger.com,1999:blog-4954629309143288516.post-50046047143385771762015-05-10T00:25:00.000-05:002015-05-10T13:41:57.275-05:00How can we correct the scarecrow? (Adapted R. Kaplinsky lesson with a Colin Dodds video too!)<div class="separator" style="clear: both; text-align: left;">
<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;"><b> My 8th grade Pre-Algebra students have been working on our Pythagorean Theorem unit for a couple of weeks. Today when the kids walked into the room I turned on this short video by<span style="color: blue;"> <a href="https://www.youtube.com/watch?v=l8-bnZh8Zuc">Colin Dodds</a>. </span>I<span style="color: blue;"> </span>told them to pay attention to the vocabulary in the song because they would be using it in today's lesson. We have been using this vocabulary all along but this gave great visuals as well as music to help them remember the words. I did add my input when the song said the two other sides, I asked, "What is the vocabulary word for those two other sides? The kids love all of Colin Dodds' songs.</b></span></div>
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<b><iframe allowfullscreen="" class="YOUTUBE-iframe-video" data-thumbnail-src="https://i.ytimg.com/vi/l8-bnZh8Zuc/0.jpg" frameborder="0" height="266" src="https://www.youtube.com/embed/l8-bnZh8Zuc?feature=player_embedded" width="320"></iframe> </b></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;"><b> </b><span style="color: blue;"><b> </b><a href="http://robertkaplinsky.com/" target="_blank"><span style="color: blue;"><b>Robert Kaplinsky</b></span></a></span><b> has an amazing site and if you haven't seen it before you are in for a treat. One of the lessons that he has listed for the 8th grade Pythagorean Theorem Standard is, "<a href="http://robertkaplinsky.com/work/wizard-of-oz/" target="_blank"><span style="color: blue;">How can we correct the Scarecrow?</span></a>," from the<span style="color: blue;"> <a href="http://www.amazon.com/s/ref=nb_sb_noss?url=search-alias%3Ddvd&field-keywords=wizard+of+oz+&rh=i%3Advd%2Ck%3Awizard+of+oz+" target="_blank">Wizard of Oz</a></span></b><span style="color: blue; font-weight: bold;">. </span><b>I asked the kids how many of them had seen the movie. Only about half of my students had seen it. WHAT!!! I was shocked. Of course, they all wanted to watch it right then and there but no - not today. So we talked about the Scarecrow and how he gets his brain and tries to recite the Pythagorean Theorem but gets it mixed up. As I have told you before the majority of my students speak another language so I knew I would need a visual on this part of the lesson. I made a template for them to fill for this activity so they had a little direction. (The download is at the end of this post.)</b></span></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;"><b><iframe allowfullscreen="" class="YOUTUBE-iframe-video" data-thumbnail-src="https://i.ytimg.com/vi/u3-goHO471o/0.jpg" frameborder="0" height="266" src="https://www.youtube.com/embed/u3-goHO471o?feature=player_embedded" width="320"></iframe></b></span></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;"><b> We watched the Scarecrow and together wrote down what he said. It took about 4 times repeating the video to get the whole statement. Working in their groups the students needed to find the Scarecrow's mistakes, write them down, and correct what was wrong. I told them that I found 5 mistakes and challenged them to find them all. Believe it or not, you could hear crickets in the room (that means it was really quiet for my second language friends). They looked at me with big eyes as I walked around waiting for me to tell them the answer. Nope, that is not happening. </b></span></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;"><b> Me: "What is something that the Scarecrow said that was wrong?" Luckily the isosceles triangle was one that they could see right away so that gave them some encouragement</b></span><b style="font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif;">. After a few minutes I heard isosceles triangle, hypotenuse, legs and so on. I told them I like the math vocabulary I was hearing.</b></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;"><b> After they found the mistakes they were to write down what the Scarecrow should have actually said. </b></span></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;"><b>Me: " No you cannot write </b></span><b><span style="font-size: 16pt;">a</span><sup>2 </sup><span style="font-size: 16pt;">+ b</span><sup>2</sup><span style="font-size: 16pt;">
= c</span><sup>2</sup></b><b style="font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif;">. You need to write a statement using the math vocabulary we have learned in this unit." There was a lot of groaning at this point from many of them.</b></div>
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<b style="font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif;"> Here are some examples of the students work. Sorry if it is hard to read, they use mechanical pencils are light and difficult to read.</b></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj31wcv3FBNEzIRXQBbUhGDTHdER0Ts7oZCmgfVixWvp1YguwKfw2_DLcyGyZ5TP9jhOspAccpwX9M_1wpOm39idQ2evj4cWC6ZQdNFftylVP01ujWg060L0rtbfA1qJyz8czYfuofiPZ7t/s1600/scarecrow+1.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="592" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj31wcv3FBNEzIRXQBbUhGDTHdER0Ts7oZCmgfVixWvp1YguwKfw2_DLcyGyZ5TP9jhOspAccpwX9M_1wpOm39idQ2evj4cWC6ZQdNFftylVP01ujWg060L0rtbfA1qJyz8czYfuofiPZ7t/s640/scarecrow+1.jpg" width="640" /></a></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;"><b> When the kids wrote down the quote from the scarecrow, I didn't write it, I only repeated it. Being a math person I just assumed that the students would know he was talking about "the sum of the square roots" not, "some of the square roots." I clarified that with my other two classes.</b></span><br />
<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;"><b><br /></b></span><span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;"><b> I think that hypotenuse and hypothesis from science became a new word here. You will see how my kids struggled using the correct vocabulary for this activity.</b></span><br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhaS4_JIIrylaFryuJyXtFk-RuCkgLBDByLlLW1IlQkIZmEfeF_tjdDzutLODksi_i7bbzpsVI2jTIeYTIeM_6rfCrr7r6D_to_d2Z1K-xckyXVGwq4x3D-0tGekJs7QvOj1_4EN2voxtON/s1600/scarecrow+3.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhaS4_JIIrylaFryuJyXtFk-RuCkgLBDByLlLW1IlQkIZmEfeF_tjdDzutLODksi_i7bbzpsVI2jTIeYTIeM_6rfCrr7r6D_to_d2Z1K-xckyXVGwq4x3D-0tGekJs7QvOj1_4EN2voxtON/s640/scarecrow+3.jpg" width="520" /></a></div>
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<b style="font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif;">So many students thought that some was a mistake and that sum was the correction. I think next year I will write out with them what the Scarecrow actually said.</b> </div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhFthuIpsP3KijBmm7HfySCrCI1wjBhCDD8nvEVt81cJc-0N-d4FpzPluvqZX_ZYa1Ga079cOK8XHGgHFXEgxN3MdBBl_gKJM2ZmG2WEItrFgDQo69AfdMCEHzzI7czVWrRPMX99MKy1IQ0/s1600/scarecrow+4.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="604" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhFthuIpsP3KijBmm7HfySCrCI1wjBhCDD8nvEVt81cJc-0N-d4FpzPluvqZX_ZYa1Ga079cOK8XHGgHFXEgxN3MdBBl_gKJM2ZmG2WEItrFgDQo69AfdMCEHzzI7czVWrRPMX99MKy1IQ0/s640/scarecrow+4.jpg" width="640" /></a></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;"><b>We have been using the words squared and square roots all year. How can they not understand the difference? I had no idea this was an issue for so many of them.</b></span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgogP5ylSatoTgtRj1BCvkWSUl5ct6U86dOu-VngINBUVmqX7HaHBPq2RTYFYDRoT8wWj5OvTRWZS_KtQX24MgvFXNDx0RzR5L-Faf13-sezbhnev1ZTXKztmJOWko5nT_hy4xgQaHIeQWb/s1600/scarecrow+5.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="574" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgogP5ylSatoTgtRj1BCvkWSUl5ct6U86dOu-VngINBUVmqX7HaHBPq2RTYFYDRoT8wWj5OvTRWZS_KtQX24MgvFXNDx0RzR5L-Faf13-sezbhnev1ZTXKztmJOWko5nT_hy4xgQaHIeQWb/s640/scarecrow+5.jpg" width="640" /></a></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;"><b>Almost correct.</b></span></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;"><b> At the very beginning of the video clip the Wizard says he has his Thd, Doctor of Thinkology Degree. Many of the kids didn't understand the reference and believed it was a mistake and should be Phd. That was not something I thought about but it made sense.</b></span></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;"><b> The template I created was taken from one we used in the past for the extended response problems that were part of our state testing. It was called a 4 square template. The top left box is where the students would write, <span style="background-color: yellow;">What I know.</span> The bottom left was where they would show their<span style="background-color: yellow;"> Work</span>, the bottom right is where they would <span style="background-color: yellow;">Explain their work</span> and the top right box would say,<span style="background-color: yellow;"> My answer is ...</span> and they would circle their answer. It was a good template but we can't use it anymore because the students need to write their responses in paragraph form. Too bad, it was a great tool for them and I do use it for lessons like this.</b></span></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;"><b> We used the entire 45 minute period to do this lesson. One of my classes had to watch Colin Dodds video and extra 3 times to listen and look at the vocabulary again.</b></span></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;"><b> Another class was able to finish so I collected the paper and found "my </b></span><b style="font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif;">favorite no." The next day I went over "my favorite no" with the other two classes as well. I use this quite a bit in my classroom. Watch the video from the Teaching Channel which explains "my favorite no" better than I ever could. I do believe they understood the difference between when to write squared or square root when we went over the favorite no's</b><b style="font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif;">.</b></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;"><b> </b></span><iframe allowfullscreen="" class="YOUTUBE-iframe-video" data-thumbnail-src="https://i.ytimg.com/vi/Rulmok_9HVs/0.jpg" frameborder="0" height="266" src="https://www.youtube.com/embed/Rulmok_9HVs?feature=player_embedded" width="320"></iframe></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;"><b> Last year I tried this lesson by just watching the video and it was confusing for my students. Having the kids write down what the Scarecrow said and doing this activity at the end of the Pythagorean Theorem Unit made a big difference over last year. There was still confusion on the difference between the vocabulary words square root and squaring a number. They knew the difference between the computations but not the words. I think having to struggle rewriting what the Scarecrow should have said was a great learning experience for them. I had fun watching them when they started finding the mistakes and how they were interacting in their groups. They did a great job. It was a GOOD DAY and you have to sit back and enjoy that when those days happen. I'm smiling</b></span><b style="font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif;">.</b></div>
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<b style="font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif;">Download document</b></div>
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<b style="font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif;"><a href="https://www.dropbox.com/s/w4qgzr6s07po5rf/scarecrow.pdf?dl=0" target="_blank">How do we correct the Scarecrow?</a></b></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;"><b>Til next time,</b></span></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;"><b>Jan</b></span></div>
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Jan Lichtenbergerhttp://www.blogger.com/profile/05944365143533012776noreply@blogger.com5