Romiel's Scribe: Textbook pages 85-87

4. Explain how squaring a number is the the reverse of finding the square root of a number. Include an example with your explanation.
Squaring a number is multiplying a number by itself and finding the square root of a number is finding a number that when multiplied by itself equals the value.



9. What is the area of a square with each side length



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



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 meters?



21. Kate is going to put a patio in her backyard. The patio stones she is using each have an area of 1m2. She has created a rectangular design shown.

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.





That's all the answers to questions 4, 9, 10, 18, and 21 hope this helps.

Pythagoras Questions:

1. Answer in a short paragraph and with diagrams

Answer: The pythagorean relationship is a2 + b2 = c2. That means that a2 (we'll say its 3) + b2 (we'll say its 4) should = c2 (we'll say its 5). It also says that a and b the legs should equal the hypotenuse 5.



2. Solve the missing side length

ANSWER:



P. S. don`t forget to put your answer on to the triangle

3. Is this a right triangle PROVE IT!!!

Answer:
IT IS NOT A RIGHT TRIANGLE!!!

Square Roots

Today in class we did work in our textbooks.

2.  How would you use prime factorization to determine the square root of 225?

3. Determine the prime factorization for each number. Which squares are perfect squares?

Perfect square













Not a perfect square












Not a perfect square






15A. Evaluate
















16A. Determine the value














17. A fridge magnet has an area of 54mm2. Is 54 a perfect square? Use prime factorization to find the answer.







This is not a perfect square.








20. Adam's uncle has instructions to building a shed. One page of the instructions isn't clear.

a. What is the area of the rectangle?

The area of the rectangle is 36. I got this by multiplying 4 and 9 together and i got 36

b. What is the side length of the square?

The side length of the square is 6m2 because 6x6 is 36 and the square root of 36 is 6 so all sides of the square is equal so the side lengths of the square is 6m.


Here is a video to help you with square roots




Also here is a game you can play to help sharpen up your square root skills


I really hope this scribe post helps you with the homework!



Part 2 PYTHAGORAS

1)Explain the pythagorean relationship.

A2+B2=C2

The pythagorean relationship is the relationship between the length of the sides of a right triangle. the area of the two shorter sides (a and b) must equal the hypotenuse. (c)

2) Solve the missing side length

3) Is this a right triangle? Prove it.

This is not a right triangle because when you add the two squares of the legs you get 100 not 121 so this triangle is not a right triangle.

Here is a video to help you with pythagoras

Also here is a link to help you with pythagoras

Textbook Questions

Today in class we were assigned to do textbook pg. 85 and 86 questions 2, 4, 6 to 23. I will explain the answers of questions 6, 11, 12, 15c, 16c, 19, and 22 in this scribe post.

Here is a link about square and square roots.

A)

B) Yes, 64 is a perfect square because its prime factors can be share equally among the sides. 8x8=64.

C)

(Squaring is the same as multiplying a number by itself)

A) 9x9=81

B) 11x11=121

A) 3x3=9

B) 18x18=324

C)

C)

A) The side length of the square is 630m.

B) If the dimensions of the square is 629m, the area would be 395 641 square meters.

C)

Here is a video about square roots.

(The following will be pictures I took in the Tiananmen Square during my trip in 2009.)

Pythagorean Relationship Questions:

1. Answer in a short paragraph and with diagrams

The pythagorean relationship states that the square of leg A plus the square of the leg B equals the square of the hypotenuse C. So if A is 3, B is 4, then C has to be 5 because

2. Solve for the missing side length.

To solve for the missing side, I first have to label the sides of the triangle. I labeled the legs A and B, then label the hypotenuse C. Then I apply the pythagorean relationship to find the side C. The length on side C is 13cm.

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

To solve question, I first label the sides of the triangle A, B, C. Then I apply the pythagorean relationship to see if the numbers fit. If the answer on both sides of the equation is the same, then it is a right triangle, but if it's not the same, it is not a right triangle because according to the pythagorean relationship, a2+b2=c2. The answers of the equation is not the same, so this triangle is not a right triangle.

Janessa's Scribe Post

RECTANGLE SQUARE

~ Has 4 sides ~ Has 4 sides

~ 2 sets of equal parallel sides ~ 4 equal sides

Length Width Area

5 3 15 square tiles

8 2 16 square tiles

9 1 9 square tile

Expanded Form Standard Form Exponential Form

1 x 1 1 1

3 x 3 9 32 x 2 4 2

4 x 4 16 4

5 x 5 25 5

6 x 6 36 6

7 x 7 49 7

8 x 8 64 8

9 x 9 81 9

10 x 10 100 10

Prime Numbers

Prime number- only has 2 factors

1 and it's self

Here are 2 videos to help you out!

1.

2.

3.