8.G.B.7 Pythagorean Theorem and 3 dimensional shapes

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 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.

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.

Standard 8.G.B.7: Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.

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.

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. 

This next section was hard to find material at the 8th grade level as well.  

We only solved these using Pythagorean Theorem as that is the standard addressed here. 

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.

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!!! 

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.

Teaching the Geometry in Pre Algebra is so much fun. I love it and the kids do as well. 

See you soon with a  post on how I start my interactive notebooks. Have a great new school year.

Below are the links to download these foldables:

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.

Pythagorean Theorem 3 -D shapes foldable

Pythagorean Theorem and space diagonals

                                                                   Til next time,

Jan

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