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 196cm².

||||||196cm²
||||||/||||||||||\
||||14|||X|||14
|||/|||\|||||||||/||||\
||7 x 2 |x| 7 x 2

196=7x2x7x2
196=14x14
√196=14
The side length is 14cm.

Page 85 Questions 3,7,12 and 14.

Question 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.

|||||36
|||/|||||||\
||6||X|||||6
/||||\|||||||/||||\
3 x 2 X 3 x 2

36=3x2x3x2
36=6x6
√36=6
The square root of 36 is 6.

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

A)||||||42
||||||/||||||||\
||||7 |||x||| 6
||||||||||||||/||||\
||||7|||x|3||x||2
This is not a perfect square.

B)||||||169
|||||||/|||||||\
||||||13 |x| 13
This is a perfect square.

C)|||||||256
|||||||/|||||||||||\
|||||16|||X||||||16
|||/|||||\|||||||||/|||||||||\
||4||x||4|x||||||4||x||||4
/|||\|||||/|||\|||||/|||\|||||/|||\
2x2 x 2x2 x 2x2 x 2x2
This is a perfect square.

Question 12:
Determine the square of each number.

A)SxS=Area
||10x10=100

B)SxS=Area
||16x16=256

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

√900=30.

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

||||||||54mm²
|||||||/|||||||||\
|||||27|||||x|||2
|||/||||\
||9||x||3|||x|||2
/||||||\||||||||||||||
3 x 3|x|3|||x|||2

It is not a perfect square.

Duyen's Scribe 5 Page 86 Questions 18, 20, 22

Question 18:

Square have equal sides, so side x side= area. 14x14=196 or 14 squared equals 196.

Question 20:
a)Length x Width= Area, 9m x 4m= 36m squared

b)Length of side length= 6 because area of rectangle and square are equal. So what number squared gets 36? That's right 6 squared.

Question 22:
a)630m by 630m, 630 squared equals 396 600m squared

b)395 641m squared because 629 squared equals 395 641

c)622 squared (equals 386 884), 623 squared (equals 388 129), 624 squared (equals 389 376), 625 squared (equals 390 625), 626 squared (equals 391 876), 627 squared (equals 393 129)




Enjoy this fun video about squared numbers and here's a link to explore squared numbers!!

http://www.maths.com/numbers.square.htm

Scribe 1

Show You Know

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

A)45

B)100

Textbook Pages ( questions 1, 5, 10, 16 )

1)
Explain how to square the number 7
To square a number 7 you would multiply it by itself or digit. 7x7= 49

5)
a) Determine the prime factorization of 4
b) Is 4 a perfect square
c) Draw the square and label it's side length













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

A) 20
400 square units
A=20x20
A=400

B)17
289 squared units
A=17x17
A=289

16)
Determine the value

a)√9=3

b)√25=5

c)√1600=40

Here are two links that will help you on square roots and prime factorization.

A video on square roots.

A video on prime factorization.

Square Number and Square Roots

Last Thursday's Lesson (:

Focus on...
Determine the square number of a whole number.
Determine the square root of a perfect square.

A Square Number is the product of the same two number.
Example : 3 x 3 = 9, so 9 is a square number

A square number is also known as a perfect square.

Perfect Squares are
1, 4, 9, 16 and etc...

Don't forget today homework!

Start a number line on the other crease on
the bottom and highlight the perfect square numbers.

Estimatating using perfect squares, prime factorization and number line

Homework from yesterday
- Estimating using perfect squares


200- in between the perfect squares 196 and 225.
- 225 is bigger than 200 so that number won't work
- so that leaves us with 196 aka 14x14
- If 196 is 14x14 that means that 200 will be 14._x14._=200 because we know that 225 which
Is to big being 15x15 or the next highest perfect square.

37-in between perfect squares 36 and 49
- 49 is bigger than 37 so it won't work
- which leaves us with 36 aka 6x6
- so if 36 is 6x6 that means that 37 will be 6._x6._=37 because we know that 37 which
to big being 7x7 or the next highest perfect square

850- in between perfect squares 841 and 900
- 900 is bigger than 850 so it won't work
- which leaves us with 841 aka 29x29
- so if 841 is 29x29 that means that 850 will be 29._x29._=850 because we know that 900 is
to big being 30x30 or the next highest perfect square

77 - in between perfect squares 64 and 81
- 81 is bigger than 77 so it won't work
- which leaves us with 64 aka 7x7
- so if 64 is 7x7 that means that 77 will be 7._x7._=77 because we know that 81 is
to big being 8x8 or the next highest perfect square

Number Line

-1-25
-Different colours for the pefect squares
-show what x what = the number your trying to get to

Im sorry my computer won't let me put pictures or vidoes.

so heres a link for a Prime Factorization video.
and another link for prime factorization which is a website which has pictures
and then here is my actual link (make sure to turn off the volume if the play the game)