Bennette's Square Root Scribe Post

QUESTION:
12. While shopping online, Ji Hun finds a square rug with an area of 11 m2. He needs to know if it will fit in his 4 m × 5 m bedroom.

a) Estimate the side length of the rug, to one decimal place.
b) Check your estimate with a calculator.
c) Will the rug fit? Explain.

ANSWERS:

a.) 3 x 3 = 9
4 x 4 = 16

9 is closer to 11. But in this question, they're looking for side length.
Since the side length of 9 is 3, we'll use 3 for our whole number.
3. ___

From Drop Box

Now, we just need to find out one decimal to replace the blank. To find the answer to that, count the intervals between 9 and 11.
11 - 9 = 2

The estimated answer will be, 3.2 m

b.) By using my calculator, I multiplied 3.2 by itself to check it.
3.2 x 3.2 = 10.24

To find the whole number and one decimal place, use your calculator and find the square root of 11.

From Drop Box

c.) Yes, the rug will fit because the sides of the rug is smaller than the size of his room.

Here are some links to help you:

http://www.homeschoolmath.net/teaching/square-root-algorithm.php

http://www.mathsisfun.com/square-root.html

Here are some math gaming sites for you to enjoy:

http://www.softschools.com/grades/6th_and_7th.jsp

http://www.math-play.com/Middle-School-Math-Games.html

Here are some videos for you to see:

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PLEASE FEEL FREE TO GIVE SUGGESTIONS OR COMMENTS IF YOU SEE SOME ERRORS. I'LL MAKE CHANGES RIGHT AWAY :)

HOMEWORK FOR TONIGHT:

PAGES: 99 - 100

Also do " COMMUNICATE IDEAS" on page 98.

Oops Bennette blew up her scribe post

Here is what I could salvage of Bennette's scribe post.

Tonie's Estimating Square Roots Scribe Post

Questions: 4 and 5

4.) Estimate the square root of each number, to one decimal place. Check with a calculator.

a) 72 b) 103 c) 55

a)

b)

c)

5. Estimate each value, to one decimal place. Check your answer with a calculator.

a) √14 b) √86 c)√136

a)

b)

c)

Here's a video that talks about estimating square roots.

This is a link about how to estimate square roots.

Feel free to correct me. (:

Nino's Page 98 Questions Scribe

Page 98 Questions

6: 9x9=81, 10x10=100
Between 81 and 100 is 90 or 91

8:The whole #'s between square root of 2 (4), 3 (9) are 5= 2.23, 6= 2.44, 7= 2.64, 8= 2.82

Pages 98-100 #'s 7 and 9

7) Identify the whole number with a square root between 11 and 12.

11 12

121 144

Between the numbers are: 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143. There are 22 possible square roots between 11 and 12.

9) What are all the whole possible numbers that have a square root between 4 and 5.

4 5

16 25

Between 4 and 5 are: 17 18 29 20 21 22 23 24. There are 8 possible square roots between 4 and 5.

Remember; To do pages 98-100 1 to 24 for math!

Square roots link : http://www.mathsisfun.com/square-root.html

Video : http://www.youtube.com/watch?v=iFPsqk8MYj0

Sorry, if the first one is side ways. My blog was lagging.

Ryan's Show You Know Page 96

Show You Know Pg.96

For each of the following, use perfect squares to estimate the square root to one decimal place. Check your answer with a calculator.

A)√18 B)√23 C)√35

A) √18

Estimated: √18= 4.1/9

Calculated: √18=4.2426406

√18= 4.24

B) √23

Estimated: √23 = 4. 7/9

Calculated: √23= 4.7958315

√23= 4.80

C) √35

Estimated: √35= 5.10/11

Calculated: √35= 5.9160797

√35= 5.92

Link: http://www.homeschoolmath.net/teaching/square-root-algorithm.php

SCRIBE 5

* For this scribe I was assigned to answer numbers 18, 20 and 22*


18. The questions says that if the square floor mat has a side length of 14 m, what is the area of the square floor mat in square meters?

Here is my answer:
















20. Now, this questions says that Adam's uncle has instructions for building a shed, but a page of the instructions was not as clear as he taught.

a) The questions asks for the area of the rectangle, and here is my answer:

















b) This time , it asks for the side length of the square, and this is what comes up to my mind:


















22. This number asks for three questions that are all connected to the largest in Beijing that has an are of 396, 900 m squared.

a) This question is asking about what are the dimensions of the square, and I answered,
















b) This question asked if the dimension would be 629m by 629m, what would be the answer, and I answered this:
















c)This question is asking if the area is less than 394, 000 but greater than 386,000,what will be the dimensions between those numbers, and I answered it like this:



















Here's a link if you need help with finding area for rectangles or squares:
http://http//www.ehow.com/how_2256131_calculate-area-square-rectangle.html

And a video too,





Thanks for looking at my scribe, and don't forget to comment!

Scribe 4

Questions 17, 19 ,20

17. The question asks to use prime factorization to figure out if 54 is a perfect square.

Here is the answer.
No. 54 is not a perfect square.

19. This question asks you to find the distince the students ran around the field twice.
This is the answer.

The students ran the distance of 1360 m.

21. The question asks you 3 things.1. That is the area of the patio.

Here is a picture of the patio.

Question 2 asks you to see if you can build another patio with the same area.
Question 3 asks you to make the patio into a square. Is it possible?
The answers
The area of the patio is 56 m2
Two examples for this is 7m by 8m and 28m by 2m.
It is not possible to make the patio into a square. Using prime factorization helps with this.


Here is a video on prime factorization and a link

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.

PRIME FACTORIZATION- a number written as the product of its prime factors.

45 is not a perfect square because it has an odd number of factors of 3 and 5.

TEXTBOOK QUESTIONS 1, 5, 10, and 16. (page 85 and 86)

1. Explain how to square the number 7.

answer:

To square number 7, multiply it to itself. Then you'll get 49.

7 x 7 = 49.

5. a) Determine the prime factorization of 4.

b) Is 4 a perfect square? Explain.

c) Draw the square and label it's side length.

answer:

a.)

b.)Yes, 2 appeared two times. If you multiply 2 to itself, you'll get 4.

c.)

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

a) 20

b) 17

answer:

a) 20 cm x 20 cm = 400 square units

b) 17 cm x 17 cm = 289 square units

15. EVALUATE.

a.) `square root 9

b.) `square root 25

c.) `square root 1600

answer:

a.) The square root of 9 is 3.

3 x 3 = 9 / 3 multiply by itself, you'll get 9.

b.) The square root of 25 is 5.

5 x 5 = 25 / 5 multiply by itself, you'll get 25.

c.) the square root of 1600 is 40.

40 x 40 = 1600 / 40 multiply by itself, you'll get 1600.

HERE ARE SOME VIDEOS TO HELP YOU:

HERE ARE SOME GAMING SITES YOU MAY WANT TO CHECK OUT:

http://www.mathplayground.com/

http://www.learn-with-math-games.com/index.html

LINKS:

http://www.tutorvista.com/math/list-of-prime-factors

http://www.mathsisfun.com/square-root.html

Karen's Square Root Scribepost

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

What I did is first I look at the perfect square chart that we made then I saw that 225 is a perfect square then I saw that the square root is 15. Then so I made this.

6.) a.) The prime factorization of 64 is 2x2x2x2x2x2

b.) 64 is a perfect square because the first pair of numbers are the same.

c.)

11.) The square of 9 is 81 because if you multiply 9 and 9 the answer will be 81.

b.) the square of 11 is 121 because if you multiply 11 and 11 the answer will be 121.

15.) a.) 7

b.) 8

c.)

Here is a video if you want to understand it more.

SQUARE ROOT

To understand today's scribe, we have to know what is a square root before anything else.
A square root is the opposite of squaring. So, instead to pressing the squared sign on the calculator, we press square root button.


HOW TO FIND A SQUARE ROOT

1) Get a calculator with square root function.

2) Since all calculators are different, try to press buttons until you get the answer. Maybe put number first, then the square root button or hit the square root button first then,the number. It all depends on how your calculator works.

3) Press the equal sign and "boom!" a bunch of numbers are on your calculators. You can round it to the hundredths though. Its easier to look at. It might not be the exact but, its close enough.


* ALL numbers have square roots. Its just that majority of them ends up with decimals.


EXAMPLE: Get the square root of 5.

1) On a calculator press √ then 5 or the opposite way.

2)Hit the equal sign button.

3)Once the answer appeared, round it to hundredths .
√3=2.23²


HOW TO ESTIMATE A SQUARE ROOT

To estimate a square root you may loo at the square root chart we made. Let's say we need to estimate what the square root 0f 570. We look at the chart and find what is closest products to 570. They are 576 and 529. Since 567 is closer, we choose that. 567's factors are 24x24, so that is an idea that the answer falls near 24.

EXAMPLE: Estimate the square root of 243.
243 falls between 225 and 256.Which is the product of 15X15(225) and 16X16(256.)Since, 256 is closer we
choose that. Now all we have to do is estimate what is the decimal needed.


ESTIMATING SQUARE ROOTS BY FRACTION

In this part, the number line we made would be helpful to us in this section.



Since there is 3 spaces between the first square root and the second square root. We would use 3 as our denominator.

1) 1/1 or 1

2)1 1/3 because, its in the first place after the perfect squared number.

3) 1 2/3 because, its in the second place after the perfect squared number.

4) 1 3/3 or 2 because, the square root of 4 is 2.

*Take note that we always don't use 3 as the denominator. It depends on how many spaces are there between a perfect squared number to another.


HOMEWORK

Use fractions to estimate the square roots of 1-25.

How can you use perfect squared numbers to estimate square roots?

Still having trouble? No problem!I provided links and video to help you understand more!:)

LINKS:

SQUARE ROOTS GAME

HOW TO ESTIMATE

VIDEO:

SQUARE ROOTS

HOW TO ESTIMATE(VIDEO)

(I wanted to put the real video. However, it wont work and there's errors..)