Rational or Irrational?
Cubes & Squares
Pythagorean Theorem
Distance
Triangle? Am I right!?
100

Is the following number a rational number? Why or why not? Square root of 36

Yes; This is a perfect square 

100

Square root of 1

1

100

What does "c" represent in the pythagorean theorem?

Hypotenuse

100

Use graph paper: Distance from (-3,-4) and (2,-3) 

Rougly 5.1
100
What theorem states that the sum of any 2 side lengths must be greater than the 3rd? 

Triangle Inequality Theorem 

200

Is the following number a rational number? Why or why not? The square root of 1

Yes; this is a perfect square root. 

200

Square root of 144

12

200

Find the missing side:

a = 5; b = 12 

c = 13

200

Ue Graph Paper: Distance from (3,5) and (2.6) 

5

200

What theorem helps us identify a right triangle? 

Converse of the Pythagorean Theorem
300

Is the following number a rational number? Why or why not? 0.26262626. . . 

Yes; This is a repeating decimal 

300

Cube root of 343?

7

300

Find the missing side: 

a = 8; b = 15 

c = 17 

300

Ue Graph Paper: Distance from (4,9) and (2,6) 

3.6 (roughly) 

300

Do the following sides form a triangle?

6 cm, 5 cm, and 4 cm

Yes!  

400

Is the following number a rational number? Why or why not? 0.2626622666 . . . 

No; This decimal is neither repeating nor termintating
400

What is the square root of 21 to the nearest integer? 

5

400

Find the missing side 

a = 8; c = 10

b = 6

400

Ue Graph Paper: Distance from (6,1) and (1,8) 

8.6

400

Do the following sides form a right triangle? 

6, 4.5 and 7.5

Yes! 

500

Is the following number a rational number? Why or why not? The square root of negative (-) 36

No; You cannot have a square root of a negative number. 
500

What is the square root of 84 to the nearest tenth? 

9.2

500

Two hikers start a trip walking 1.5 miles east. They turn due north and walk 1.7 miles to a waterfall. To the nearest tenth of a mile, how far is the waterfall from camp? 

Roughly 2.2 OR 2.3

500

Ue Graph Paper: Distance from (-4, -6) and (2,5) 

12.53

500

Do the following sides form a right triangle? 

10, 16, 12 

No! 

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