8.7 Square Roots, Irrational Numbers, and Pythagorean Theorem

Beginning Lesson

Aws4 request&x amz signedheaders=host&x amz signature=049f4274df52f2c03dbf8e839e8098a701d0848e87872962b0727d95d4a1fc6a

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=0d01c3a16f1bb397fadec55672ae8d7daf3cdfff56e04db076ab377662d16121

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=b9bfccffb8a0cc4753ebe6928cdd32650afc15d1226f9301916654c7e621306c

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=1dbb754fe1d8a2a6d0d9c23178cad3d2f0049e16c5dea562d75037e5d4d35111

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)