Scribe 1

Show You Know; Page 82

Write the prime factorization of each number. Which number is not a perfect square? Explain how you know.

a) 45 b) 100


Page 85

Question #1:
Explain how to square the number 7.

To do this, you would take the number 7 and multiply it by itself once.


Question# 5:
5. a) Determine the prime factorization of 4.
b) Is 4 a perfect square? Explain.
c) Draw the square and label its side length.


Question# 10:
Determine the area of a square with each side length.
a) 20 b) 17

Question #16:

Reminder;
Tomorrow, we will be having a math quiz all about square numbers, roots and perfect squares! To know what to do, you must have all math pages complete because it will be based on the textbook work.

Please remember to comment on all the blogs.

Scribe 3

I chose to do Scribe 3 Show You Know Page 84 and Page 85 Questions 3,7,12,14.

Show you Know:
Determine the side length of a square with an area.
√196=14









3.The factors of 36 are 1,2,3,4,6,9,12,18,and 36.Use words and/or diagrams to explain how you know which factor is the square root of 36.








7.Write the prime factorization of each number.Identify the prefect square.
a)42
b)169
c)256



















12.Determine the square of each number.
a)3
b)18





14.Determine the side length of a square unit with a area of 900cm2.







REMINDER:Test tomorrow,study roots,perfect squares,and square numbers!

Scribe 5.

I have to do questions number: 18 and 20 and 22 on page 86.

Alright, let's get started. (:

Question #18.




If you can't really see that, the question states.
A floor mat for gymnastics is a square with a side length of 14. What is the area of the floor mat in square meters?
One of the methods that you can use to find this problem out is:
Drawing it.



So, It said a side length is 14, right.
So we would show it like this:

So.
This is the formula to find the area

.

If you can not read that, or unable to read that.

The formula is:

SxS=A
14x14=196

196=Area

A=Area.

S=Side.

So the answer to question 18. -

A floor mat for gymnastics is a square with a side length of 14. What is the area of the floor mat in square meters?

is - 196 metres squared.

Question 20:

If you don't like how it says. It states:

Adam’s uncle has instructions for building

a shed. One page of the instructions,

shown below, is not very clear.

a) What is the area of the rectangle?

b) What is the side length of the square?

The formula to get the area is :

Or in another form.:

SxS=A

4x9=36

36=A

A=Area
S=Side.

What is the area of a square:

The area of a square is: 6 cm

Question 22:

If you can't read that , it says :

The world’s largest city square is

Tiananmen Square in Beijing, China.

It has an area of 396 900 m2.

a) What are the dimensions of the square?

b) If the square had dimensions of 629 m

by 629 m, what would be the area?

c) If the square had an area less than

394 000 m2 and greater than

386 000 m2, what are all of the

possible whole number dimensions

that it could have?

I looked and looked and asked many questions, but I do not know how to get the dimensions, I am very sorry about this, but I can not find it anywhere, I am very very sorry.

Scribe 6

I chose number 24 and 25.

24. The first three triangular numbers are 1, 3 and 6

a) What are the next three triangular numbers?
The next three triangular numbers are 10, 15 and 21.

b) Add together any two consecutive triangular numbers. What do you notice about the sums?
I noticed that the sums are all perfect squares.


25. A square digital photo on the computer has an area of 144cm2.


a) What is the side length of the photo?
The side length is 12cm because the square root of 144 is 12.


b) The photo is enlarged so that the side length is now 36cm. What is the area of the enlarged photo?
The area is now 1296cm2 because 36x36=1296cm2

c) How many times as large as the original is the enlarged area?
The enlarged area is 9 times as large because 144/1296=9 (There is more than method to find this answer, I use division.

d) How many times as large as the original is the enlarged side length?
The enlarged length is 3 times as large because 36/12=3.

e) Use what you know about the square root of a perfect square to identify the relationship between the numbers in parts c) and d).
Question d) is the side and question c) is the area. When you square the side you get the area. So 3x3=9 .

Here is a video of how to find the square root of a number.







Please comment if you see any mistakes or any ideas to make it better.

Scribe 3 Show You Know Page 84 Page 85 Questions 3,7,12,14

Show You Know Page 84.

Determine the side length of a square with an area of 196 cm2.

196 cm2

/ \

14 x 14

/ \

7 x 2 x 7 x 2

7 x 2 x 7 x 2 = 196

14 x 14 = 196

142 (squared) = 196

or
square root of 196 = 14 (Sorry, I don't know how to put the square root sign)

The side length is 14cm.

Page 85: Questions 3, 7, 12, 14

3. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18 and 36. Use words and/or diagrams to explain how you know which factor is the square root of 36.

My answer: The factor which is the square root of 36 is 6, because 6x6 = 36, or 6 multiplied by itself equals 36.

If you want, you could use prime factorization to find the answer.

36
/ \

12 x 3

/ \

3x4 x 3

/ \

3x2x2 x 3

square root of 36 = 6

7. Write the prime factorization of each number. Identify the perfect squares.

a) 42

b) 169 169

/ \

13 x 13

c)256

/ \

128 x 2

/ \

64 x 2

/ \

32 x 2

/ \

16 x 2

/ \

4x4 x 2

12. Determine the square of each number.

a) 3(squared) = 9 / 3x3 = 9

b) 18(squared) = 324 / 18x18= 324

14. Determine the side length of a square with an area of 900cm2.

square root of 900cm = 30cm / 30 x 30 = 900

I am sorry for the lack of pictures, I had trouble uploading. I managed to upload one though. Also, if the spacing is weird, sorry for that too.

I found this video about prime factorization. Hope it helps anyone who was confused about it. I know it helped me. :)

Reminder: Tomorrow, we have a math quiz. It will be about square numbers, roots and perfect squares, if you have all textbook pages complete, you will understand what to do, the quiz will be based on them. Good luck! :)

Karen's Scribe Post

Prime Factorization is also a way

to find out if a square is perfect or not.

Square root is the inverse (opposite) of squaring, for example:

5² = 5x5 or 25
√25 is 5 times itself has a product of 25
5x5=21 || √25=5

Yesterday's Homework

Estimating in Fractions

√1: 1

√2: 1 1/3

√3: 1 2/3

√4: 1 3/3 = 2

√5: 2 1/5

√6: 2 2/5

√7: 2 3/5

√8: 2 4/5

√9: 2 5/5 = 3

√10: 3 1/7 ...

See any patterns? The denominator is how many spaces are in between the 2 closest perfect squares. The numerator is how many spaces the square root number took going to the left.

√39 6 3/13;6.24 x 6.24

√200 14 4/29; 14.14 x 14.14

√850 841 10/59; 29.15 x 29.15

Today's Homework

(This part gets confusing but I'll try to explain it as good as I can)

- make another number line with √1 to √25 square root numbers with one and a half (1 1/2) intervals

- write the fraction x fraction = 1-25

- on the bottom, write the decimal that is almost equal to 1, 2, 3, ... 25

- lastly highlight or box the perfect square numbers

* Don't forget to use ' ' the almost equal symbol.

Allison's square numbers scribe post.

Square Numbers and Square Roots .

Focus on :

• Determine the square of a whole number
  
• Determine the square root of a perfect square
  

A square number is the product of the same two numbers.
3 x 3 = 9 .
9 is the square number :)

A square number is also known as a perfect square. A number that is not a perfect square is called a non perfect square .

Homework :)

Perfect Square Chart Example :

Make sure you go all the way up to 30.

The long white sheet :

• Use your ruler to make 25 intervals 1 and half cms away from each other .
• Use your ' Perfect Square Charts ' to make the markings .