Squares, Square Roots, and Pythagorean Theorem

Squaring Numbers

100

What is 1²?

1

200

What is 7²?

49

300

What is 14²?

196

400

What is 20²?

400

Perfect Squares

100

List the nearest perfect squares above and below 32.

25 and 36

200

List the nearest perfect squares above and below 121

100 and 144

300

List the nearest perfect squares above and below 225.

196 and 256

400

List the nearest perfect squares above and below 250.

225 and 256

Square Roots

100

What is √16?

4

200

√225 + √1 = 

16

300

What is √144?

12

400

√169 + √64 = 

21

Estimating Square Roots

100

State which two whole numbers the value of the root lies between:

 √35

5 and 6

200

State which two whole numbers the value of the root lies between:

√95

9 and 10

300

State which two whole numbers the value of the root lies between:

√198

14 and 15

400

State which two whole numbers the value of the root lies between:

√399

19 and 20

Pythagorean Theorem

100

Recite the Pythagorean theorem.

a² + b² = c²

200

What is always the last step in the solving process when finding a hypotenuse?

Taking the square root of both sides!

300

Say and spell the mathematical name for the longest side of a right triangle - across from the right angle.

H-Y-P-O-T-E-N-U-S-E

400

A right triangle has a leg measurement of 3 inches and hypotenuse length of 5 inches. Find the length of the missing leg. Answer with proper units.

4 inches