We were going to the boards to discover both special right triangles, using squares and equilateral triangles.
We started with 4 squares. (I forgot to take square pictures). We had 4 different sizes and I asked them to find the diagonals. Some started the Pythagorean Theorem and then they saw the pattern!
Then, we did 4 equilateral triangles:
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Then we drew altitudes. I asked them to label their angles and find the altitude. What did they notice?
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I already taught the area of a regular hexagon using equilateral triangles and the Pythagorean Theorem, so they caught on to this one pretty quickly.
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Here is the google slide: Special Right Triangle Lesson
Here are the board problem: Special Right Triangle Board Problems.
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