Squares, Square Roots, Pythagorean Theorem

You're a square!

100

List the perfect squares between 20 and 90

25,36,49,64,81

200

Demonstrate in some way that 16 is a perfect square

List all the factors of 16  (1,2,4,8,16) odd number of factors  or a square that is 4 units x 4 units 

300

Demonstrate that 21 is not a perfect square

Factors of 21 are 1, 3, 7, 21. Even # of factors. NO matching factors 

400

What is the perimeter of a square that has an area of 64 square units?

8 x 4 = 32 units 

500

What is 3.7 squared to the nearest hundredth?

13.69

The root of the problem

100

What is the square root signed actually called? 

Radical

200

What is the difference between 9² and square root of 9?  

9² = 81   and square root of 9 = 3

300

What whole numbers is the square root of 97 between?

9 and 10

400

Approximate the square root of 34

5.7-5.8

500

A square has an area of 77 m². What is the perimeter of the square. NO calculator

square root of 77  =  8.7-8.8  x 4 sides = 34.8 m - 35.2 m

Random Unit 1 Stuff

100

What is formula for area of a triangle? 

(base x height) / 2 

200

What is the pattern between the perfect square numbers? 

1-4-9-16-25-36....goes up by consecutive odd numbers +3, +5, +7, +9, +11...

300

Answer the question Mr. Head puts on the board

Did you get it right?

400

Using squares and a triangle describe the relationship that exists in the Pythagorean theorem. 

Area of a square made from the lengths of "a" and "b" is equal to the area of the square made by the hypotenuse. 

500

Answer the question Mr. Head puts on the board

I'm sure you got it right...right?

Triangulate it all

100

C is called the hypotenuse. What are A and B called of a right triangle?

Legs

200

Is a triangle that has the following measurements a right triangle  5 ft, 7ft, 12 ft?...show why or why not

It is not because  a² + b² = c² ,  5² + 7²  = 12² , 25 + 49 = 144,  74 < 144

300

A 10 ft ladder is up against a house, the base of the ladder is 2 feet away from the house. What height does the ladder reach on the house? NO calculator

10² - 2² = b²,  100 - 4 = 96=b²      b=9.8 ft  

400

A rectangle is 7 m x 4 m. What is the length (nearest tenth) of a diagonal drawn from one corner to the opposite corner? No calculator

7² + 4² = c² ,  49 + 16 = c² ,  65 = c² ,  c = 8.1 m

500

The area of a square is 25 cm². What is the length of a diagonal (nearest tenth) that goes across the square?

square root of 25 = 5 cm.  5^{2 +} 5² =c² , 25 + 25 = c²,  50 = c² ,   c = 7.1 cm

Mystery Box

100

What do these words have in common...string,navy and green?

All of them are types of beans

200

What is the second tallest mountain in the world?

K2

300

The Leader of Italy during World War II?

Benito Mussolini 

400

What does HTML stand for in computer programming?

Hyper Text Markup Language

500

What NBA franchise has won the most championships?

Boston Celtics