8.7 Square Roots, Irrational Numbers, and Pythagorean Theorem

Beginning Lesson

Aws4 request&x amz signedheaders=host&x amz signature=8846384119fbf79c060fd3ecf1d889559a2b93cccc8be51b64136048d9f4cfa9

Square Dancing

What do squares reveal about the universe? Students learn about the Pythagoreans and explore how to square numbers and find square roots, confront the weirdness of irrational numbers, and discover what happens when people’s most fundamental beliefs are thrown into doubt.

Topic: Expressions and Equations (EE), Number System (NS)

Middle Lessons

Aws4 request&x amz signedheaders=host&x amz signature=5ceaaa2ecd345e6348cb8029e601712f9c08af23d9547e7f0963af7c42c8c380

51-Foot Ladder

How high can a ladder safely reach? Students combine the federal guideline for ladder safety with the Pythagorean Theorem (middle school) or trigonometric ratios (high school) to explore how high you can really climb.

Topic: Geometry (G), Similarity, Right Triangles, and Trigonometry (SRT)
Aws4 request&x amz signedheaders=host&x amz signature=dabc927446987ef3cb567fb5aa528622f1a35f704d86463b7ab65eaec5c777ef

It's a Trap!

How accurate are police speed guns? Students use rates and the Pythagorean Theorem to examine the accuracy of LiDAR guns used to catch speeding drivers.

Topic: Expressions and Equations (EE), Geometry (G), Ratios and Proportional Relationships (RP)

End Lesson

Aws4 request&x amz signedheaders=host&x amz signature=48e78380ac57b9a96ada3f15db3fbb3457eac1fd61fc22aac0c3c19bdafe43d3

Viewmongous

When you buy a bigger TV, how much more do you really get? Students use the Pythagorean Theorem and proportional reasoning to investigate the relationship between the diagonal length, aspect ratio, and screen area of a TV.

Topic: Geometry (G), Similarity, Right Triangles, and Trigonometry (SRT)