8.7 Square Roots, Irrational Numbers, and Pythagorean Theorem

Beginning Lesson

Aws4 request&x amz signedheaders=host&x amz signature=03fa1287397aaed7113b00dade06fe2b17bf74819bdd1d24695b456a60523cd7

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=769f2336d00096a676a257a4b5314f8f512d469f0f34dfae33c4f9421ec6ad62

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=4690d10919c95ca326d4700de66cccdf6dea1e24398cfa21006ba15ef1bb4d8c

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=4dc914b1664ad8c97d15aca949b8341acf35af59c37fc0b2baef5b026fb56002

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)