Faye Dscribe

Squares and square roots
Questions.
1&4

pg. 24
1. a whole number that has only two factors, 1 and itself
Prime Number.

4. The product of the same two factors
Perfect Square.

pg. 24-25
7. a) Jamies backyard has an aria of 100m squared. Determine he prime factorization of 100. Show your work.
2x2x5x5= 100

b) Is 100 a perfect square? Explain your thinking.
Yes it is, 10x10=100

pg. 28

2. a) When I use a calculator the square root of a natural number that is a perfect square, I get a perfect number as my answer.

b) When I use a calculator to get the square root of a natural number that is not a perfect square, the answer the calculator gives me has a decimal in it. This is not an exact answer. It is a(n) decimal.

pg. 29
q. 7 ) Martina's painting is on a square canvas with an ara of 45cm squared. She needs to buy a frame for the painting. Estimate the square's side length to one decimal place. Show your work
6.7x6.7= 44.89 = 45cm2

10 ) Aarons parents went to buy an area rug for their 4m x 4m living room. They want space around the rug. The rug itself cannot take up more than 90% of the living room. What is the maximum size of rug they can buy? Show your work.
4m2 9x9=81m2

Elissa's Scribepost for December.8

QUESTION #13

What is the side length of the square shown?
-The side length of 49mm squared is 7mm
How i got this answer is 7x7 =49mm










QUESTION #25
a) A square digital photo on the computer has a area of 144 cm squared.
-What is the side length of the photo?
-12mm . How i got the answer is 12 x 12 = 144 .

b)-The photo is emlarged so that the side length is now 36cm. What is the area of the enlarged photo?
-The area is 1296cm , How i got the answer is 36x36 =1296cm.

c)-How many times as large as the original area is the enlarged area ?
-9 times.

d)How many times as large as the original side length is the enlarged side length?
-3 times.

e)Use what you know to about the square root of a perfect square to identify the relationship between the numbers in part c) and d)
- It multiplys by 3

Kenneth's scribepost for December 8

Today Mr.Harbeck choose me to do the homework book and the textbook page from page 86



In the textbook this is the question in page 86:



Determine the value: a)9 b)25 c)1600



ok in order to get the answer i used my calculator to find those answers by hitting square root:



a)9=3 b)25=5 c)1600=40



Homework Book:

In page 24 are just key ideas and practises.

A.

1. A whole number that has only two factors, 1 and itself

prime number

2.The product of the same tow numbers.

Perfect Square


3. The number that equals a given value when you multiply the number by itself.

Prime factorization



4. The product of the same two factors.

Square Root



5. A number written as the product of its prime of its prime factors.

Square number

plz correct me if im wrong!

Now on to Practise and Apply part yay ^^



6. a) Determine the prime factorization of 30. Show your work.

36=6x6

=3x2x3x2

=6x6

this is my work

b) Is 36 a perfect square? Explain your thinking.

Yes, because If you have a square of an area of 36cm square and the square had 6 on each side then yea its a perfect square.



c) Draw a quadrilateral that shows whether or not 36 is a perfect square. Label its side lengths.

7.Janie's backyard has an area of 100m2.

a) Determine the prime factorization of 100. show your work.

100=10x10
= 5x5x4

this is my work and uh sorry but i don't have a picture on this one

b) Is 100 a perfect square? Explain your thinking.
Yes, because if you have a 10x10 square on each side then it counts as 100 because its a huge square.

Noelle Cuvos's Scribepost For December 8th

Hey Guys I'm one of the few scribers for today, and I was chosen to do 3 questions on page 85. The 3 questions were questions number 15, 16 and 23.

Question 15
Evaluate:
square root of:
a)49=7
b)64=8
c)652=25.2

To get all those answers, I simply used my calculator.

Question 16
Evaluate:
Square root of:
a)9=3
b)25=5
c)1600=40

Again to get those answers, I used my calculator.

Question 23

A helicopter landing pad has a square shape. The area is 400m squared. Use Prime factorization to fine the side length of the pad.

400

=200 x 2

=100 x 2 x 2

=50 x 2 x 2 x 2

=25 x 2 x 2 x 2 x 2

=5 x 5 x 2 x 2 x 2 x 2

400 = (5x2x2) x (5x2x2)

400 = 20 x 20

400 = 20 squared

Simple sentence : The landing pad has a side length of 20 meters.

THANKS , COMMENT !

Scribepost for December 7 , 2009 .

Yesterday we had to do questions from the text book on page 85 questions 1 to 27 .

question # 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 ?

- The area is 196 m2 .

question # 22

The world's largest city square is Tianamen square in Beijing , China . It has an area of 396 900 m2 .

a) What are the dimensions of the square ?

- 630 m by 630 m / side length .

b) If the square had dimensions of 629 m by 629 m , what would be the area ?

- 395 641 m2

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 ?

- 622.0 and 626.0

Scribepost for December 3 2009

Today in class we did some questions like this one.

For this question we had to find out if 54 is a perfect square. at he end we ended up finding out that is is not a perfect square. we use prime factorization to find the answer with the diagram in the picture too the Left. ta da.









I'm sorry for the fuzzy picture but if you cant see it it says:

The gym teacher told the students to run twice around the school field. The area of the SQUARE FEILD is 28 900 m2.
What DISTANCE did the students run?

First what we did we found out the Square root of 28900 wich is 170.
Second with the side length of 170 we found the perimiter by going 170+170+170+170 = 680 m. Now that we found the perimiter we have to double the perimiter because the students ran twice around.
so we went 680 m x 2 = 1360m. now all we have to do is wright a simple sentance answer.

The students ran a distance of 1360 m.







For this question we had to find the side length of the square. and we got the information that the area of the rectangle is the area of the square.

too find the side length of the square you ave to fine the area first. so since we know that they both have the same area we can find the area for the rectangle first.
to find the area of the rectangle we went
Length x width wich is 9 m x 4 m = 36 m2.
now that we know the area of the rectangle we know that the area of the square is the same. So we found the square root of 36 and got 6.

so the side length of the square is 6 m.




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

a) What is the area of the patio?
the area of the rectangle is 56m2

b) What are the dimensions of another
rectangular patio she could build
with the same area?
for this question we used 7 and 8 for our side lengths.

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

it is possible to make her patio a square but it wont be a perfect square for that one we found that out by fining the square root and it was 7.48.



THis is my scribe for today and thanx for reading and comment plz.

FOR HOMEWORK WE HAD TO DO:

PAGES 28 AND 29 IN OUT HOMEWORK BOOKS.

Ralph's Number line Scribe Dec 2

Today in class we had to either finish our number line or do several questions in the book. My scribe will be about the number line.

Here are pictures of my number line.

On my number line, it shows the area for numbers from 1 - 25.

Not every square was a perfect square so I outlined the perfect squares in picture.

Some patterns I found out about the number line is that the amount of numbers between each perfect square is always even.

eg. 1 [2 3] 4 [5 6 7 8] 9

I also figured out that the amount of numbers until each perfect square is always odd.

eg. 1 [2 3 4] 5 6 7 8 9]

*purple = perfect square

Thanks for reading my post!

Sorry that it doesn't look the best.

Please Comment!

Scribepost for December 2, 2009

Today during class we had the option of working on the questions in our textbooks or working on our numberline. I chose to do my numberline for homework. For my scribepost I have to do 2 questions from the textbook.

Here are the questions that I chose:

19.The gym teacher told the students to run twice around the perimeter of the school field. The area of the square field is 28 900 m squared. What distance did the students run ?

The students ran 340 m squared.

How did I find that out ?
Well, the square root of 28 900 is 170. I found that out by using the square root button on my calculator. Then, I just multiplied 170 by 2 and I got 340.

20. 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 ?

The area of the rectangle is 36 m squared.

lxw = 4x9 = 36

b ) What is the side length of a square ?

The side length of a square is 6.

6 squared is 36.

PLEASE LEAVE A COMMENT =D

Scribepost for Dec. 2

Today in class , we had to answer 10 questions from the textbook . I was told to answer 2 questions for my scribe post and I chose to do the numbers 15 & 13 .

Question 15 . Evaluate

a) 49

• 7

b) 64

• 8

c) 625

• 25

I answered these questions by using the square root button on my calculator .

Question 13 . What is the side length of the square shown ?

Answer - 7 mm squared .

I answered it by using the square root button on my calculator .

Brayden's Scribepost December 2, 2009

In math class today we had to answer questions in our textbook. The 2 questions I chose to do on my blog were 9 and 11.

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

A) 10

To find the area of a square with a side length of 10 I multiplied 10 by 10 and I got the area which would be 100.


B) 16

To find the area of a square with a side length of 16 I multiplied 16 by 16 and I got the area which would be 256.


11) What is the square of each number?

A) 9

To find the square of 9 I multiplied It by itself and I got 81. I knew to multiply by itself because finding the square is basically multiplying by itself.

B) 11

To find the square 11 I multiplied It by itself and I got 121. I knew to multiply by itself because finding the square is basically multiplying by itself.

COMMENT!

Scribepost for December1, 2009

First of all.. we did some things in our foldable .

we found out the Numbers Between Perfect Squares == we find out the numbers between the numbers that you could make a perfect square with it.

[1] 2 3 [4] 5 6 7 8 [9] 10 11 12 13 14 15 [16] 17 1 19 20 21 22 23 24 [25] 26 27 28 29 30 31 32 33 34 35 [36]

1 x 1=1
2 x 2= 4
3 x 3 = 9
4 x 4 = 16
5 x 5 = 25
6 x 6 = 36

we multiply the numbers by itself , thats how we get the numbers we could make a perfect square with.

we did the calculator part..

we used this icon that means..
it divides the number that you could get the perfect square with.

if you put 4 and press the icon..
it will say 2 because 2 by 2 lengths is 4 so 2 x 2 is 4 . if you multiply the length by width, you get the are of the quare thats why it got 2.

I THINK THATS ALL WE DID ..

Mary Jane's Scribepost for December 1, 2009

For today's math class, we got our quizzes back and we did some more work on our foldable.

This was the rubric that Mr. Harbeck and Ms. Usiskin used to mark our quizzes:

We were then asked to revise our quiz, by correcting our mistakes or explaining our answer better by using examples.

Ms. Usiskin told us the we were confused by the wording of the question so she explained what the question really meant.

After that we did more work on our foldable. Here were some of the slides that shows what we did on our foldable.

This slide shows the spaces between the perfect squares using a fraction and later converting it into a decimal.

eg. area is 2 and the side length is 1 1/3 and converted to a decimal is approximately 1.33. We got that by dividing 1 by 3 and keeping the number 1 the same.

Then we talked about square root. Here was the slide that shows what a square root is:

These are some of examples of a square root:

The short cut to get the side length is using square root which should be a button with the square root symbol on your calculator.

eg. the area is 2 and the side length would be 1.41 rounded to 2 decimal places (using square root).

HOMEWORK:

Finish revising quiz and finish your number line (with fractions, with decimals and with your calculator).

Allysa's Scribepost for November 30, 2009

Today we had a quiz in the beginning of class. After the quiz, we continued our foldables in the "SQUARES" section. The first thing we did was we made a number line and labeled the perfect squares and looked for patterns.

Number Line:








One pattern we saw was the spaces between the perfect squares, it went up by 2 every time. The spaces were: 3, 5, 7, and 9.

To fill in the spaces, we had to use fractions.










To convert them into a decimal, we just used a calculator.
e.g. 1 divided by 3 = 0.333333333
Then we added the whole number before the decimal.

1, 1.33, 1.66, 2.

For 5 spaces it would be:

1 1/5, 1 2/5, 1 3/5, 1 4/5, 1 5/5

HOMEWORK:
Find the decimals for 5 spaces.


Sorry, I put it up late.
THANKS FOR READING & PLEASE COMMENT ! :D

Scribepost for November 30

Today we had to do a number line and label the perfect squares.

We also had a quiz about squares.


For the number line we had to label the squares from squares from 1-5
Which equals 1=1 2=4 3=9 4=16 =5=25



We also figured out what the patterns were.
One pattern was numbers between perfect squares.

The pattern that we had to do was what are the numbers between the spaces.

So for the first one we had to do 1 1/3, 2 2/3, 3 3/3

For 5 spaces

4 1/5, 6 2/5, 7 3/5, 8 4/5, 9 5/5

Our homework is what are the next numbers of the two spaces.

For 7 spaces and 9 spaces.

Jex already did a blog for SQUARES so I did today's blog.

Connor's scribepost for November 26, 2009

S x S = A

The area of a five square:

2.23 x 2.23 = 4.97

The area of a six square:

2.45 x 2.45 = 6

The area of a seven square:

2.64 x 2.64 = 7

The area of an eight square:

2.82 x 2.82 = 7.95

The area of a nine square:

3 x 3 = 9
The nine square is the only perfect square.

-A perfect square has four equal sides and are whole numbers.

Thanks for reading my scribe post please comment!

Scribepost for November 29th 2009 Binesi 8-17

5=2.2x2.2=4.84 6=2.4x2.4=5.76 7=2.6x2.6=6.76 8=2.8x2.8=7.84

9=3x3=perfect square

Perfect Square:a square with 4 equal sides only made with whole numbers and no decimals

How I stopped an Alien Invasion using Proportion

One night , I had to throw out the garbage, when suddenly a UFO light was shinning on my face, but I couldn't see what it was. When it landed, I started to run away from it, but when I looked back the aliens started running faster after me. After 15 minutes I got so tired that I hid in a garbage bin. The aliens got suspicious and stopped to start searching for my foot prints.When they saw half my footprints leading to the garbage bin, they started walking to it and tried to open it. I held it down so they couldn't open it, but they just kept on trying until they got it. When they opened it no one was there ! I was under all that stinky garbage the whole time, I got out when they left. When they left, I started to walk home. After a few blocks near my home , I saw something chasing after me , so I started to run, but when I got home I realized that it was my dog. After all that running, I took a shower, and went to bed. When I closed my eye, there was an alien right in front of me staring at me with wide beady eyes. THE END .

I'M VERY VERY SORRY , if this was late, because someone went on my google account and changed my password.

Elaine's Scribepost for November 24, 2009

Today in class, we finished up the piece of paper with the squares.

We started of with the original square that had 4 left overs.


Then we added the next 2 squares and ended up with 31 left over squares. The way we add onto the square is by adding a bar of 10 squares on the two sides and then filling in the corner. You were also allowed to find a shortcut on adding the squares as long as you got the same answer as the other kids in class.

With the 31 left over squares, we made an extra line around. We were able to use up all 400 squares that we started of with.

As we add on to the square we also add on to the chart.
-------------------------------------------------------------------------------------------------

Today's homework is:

- How many perfect squares can you make with 4 squares?
- What is the approximate side length of a square that uses - 2 squares
- 3 squares
- 5 squares

Gilberts scribepost for Nov. 25, 2009

Today in class we were working on the colored piece of paper with the original square on it. What we had to do was take our
two other squares and cut them in to pieces and put them on the original square

HEARS SOME PICTURES IF YOU DON'T UNDERSTAND WHAT I JUST WROTE....

First im going to show you the t-chart which we have just added new stuff to.

This is the newly t-chart that we have added new numbers to.

This was the old original square that we worked on last class.

As you can see this is the original square but with the two other squares glued on with it.


sorry you can't see the pictures to well.

Our homework

How many perfect squares can you make with 4 squares?

What is the approximate side length of a square that uses 2 squares 3 squares 5 squares?

PLEASE COMMENT!

Larrisa's scribepost for Nov. 24, 2009

In math class ,
We had to take one big piece of colored paper and fold it to a half, then we had to cut out 4 squares from the grid paper he gave us, the first two squares we had to cut 10 by 10, the second was 8x10 square and added a 2x10 together so we got 10x10. On the top of the first half we got to write this :














On the bottom half we got to make a bigger square


To get the other area of the square that is getting bigger we just added more blocks on the sides. We had to add more squares on top and the side.














sorry , my coloring is bad.



OUR HOMEWORK IS :

Why are 4 squares left over?












Don't forget to comment ! , If I did anything wrong, just type it in the comment box !

THANKS !