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## Tuesday, January 10, 2012

### Paige's Scribepost

Textbook Questions - Pgs. 85&86

4) Explain how squaring a number is the reverse of finding the square root of number.

Squaring a number is the reverse of finding the square root of a number because if you are trying to find the square root of 36, you can easily find the square of 36 first, like in the example below. This happens because if you are trying to find the square root of 36 you are dividing and for squaring you are multiplying. These are called reverse operations so this is why I know that squaring a number is the reverse of finding the square root of a number.

9) What is the of a square with each side length?

a) 10

b) 16

10) Determine the area of a square with each side length

a) 20

b) 17

15 b)

16 b)

18) A floor mat for gymnastics is a square with a side length of 14m. What is the area of the floor mat in square metres?

21) Kate is going to put a patio in her backyard. The patio stones she is using each have an area of 1m squared.

a) What is the area of the patio?

b) What are the dimensions of another rectangular patio she could build with the same area?

c) Kate decides to make a patio with the same area but she wants it to be a square with whole number side lengths. Is this possible? Explain your reasoning.

I think that it is not possible to make a patio with the same area because 56 is not a perfect square number.

Pythagorean Relationship Edit

1. Answer in a short paragraph and with diagrams

- It is the relationship between the lengths of the sides of a right triangle.The sum of the area of the squares attached to the legs of right triangle, equals the area of a square attached to the hypotenuse.

2. Solve for the missing side length.

3. Is this a right triangle? Prove it!!!

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