Perfect Squares And Their Square Roots

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Introduction

The subject that is being presented in this Non-Linear PowerPoint is perfect squares and their roots.

The lesson and quiz is designed for the students that are at a fifth grade learning level.

The Ohio Department of Education content standards for this lesson is a student should be able to recognize and Identify perfect squares and their roots.

The learning objective for this Non-Linear PowerPoint is to have the students be able to recognize what a perfect square means as well as be able to Identify the roots of perfect Squares.

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What is a Perfect Square? A PERFECT SQUARE is a number that

when multiplied by itself gives us an integer that is a perfect square when we take its square root.

Example:

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16 = 4x4

What is a Perfect Square?

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A PERFECT SQUARE is a number that when multiplied by itself gives us an integer that is a perfect square when we take its square root.

Example:

16 = 4x4

What is a Perfect Square?

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A PERFECT SQUARE is a number that when multiplied by itself gives us an integer that is a perfect square when we take its square root.

Example:

16 = 4x4

Basic Perfect Squares Here are the ones you will use most

often in math.Numbers that will give you perfect squares

1x1

2x2

3x3

4x4

5x5

6x6

7x7

8x8

9x9

10x10

Numbers that will give you perfect squares

11x11

12x12

13x13

14x14

15x15

16x16

17x17

18x18

19x19

20x20

The answer you get when multiplying an integer by itself is the perfect square

Roots ROOTS are the numbers that you get when

taking the square root of a number. Not all roots will be of perfect squares though.

Example:

Roots of perfect squares are always integers. This means that they can have positive and negative answers.

Example:

16 = 4

16 = +4 and -

4

How to Identify Perfect Squares

To identify a perfect square you must ask yourself is there a number that when multiplied by itself can give you the number that is under the Square Root symbol.

If the number 25 is asked if it is a perfect square you must think is there a number that when multiplied by itself gives you that number. And the answer is yes. 5x5 gives you 25. So 25 is a perfect square.

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Table of Perfect Squares and their RootsPerfect Squares

Roots

1 1

4 2

9 3

16 4

25 5

36 6

49 7

64 8

81 9

100 10

Perfect Squares

Roots

121 11

144 12

169 13

196 14

225 15

256 16

289 17

324 18

361 19

400 20

Click the link below to go to web page that has tables for perfect squares and roots past 20.http://www.montgomeryschoolsmd.org/schools/blakehs/staff/greenj/perfect%20squares.htm

Example

What is the square root of 49? Or what times itself will give you 49?

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49 =7

This is a link that can help you with learning about perfect squares and their roots, however, it does contains extra information not covered in this lesson about roots that are not perfect squares.http://www.youtube.com/watch?v=Ymcf14wC9Ck

Now it is time to take the Quiz are you ready?

To take the quiz click on the apple and books icon to return to the last page of the lesson click the knowledge guy icon.

Now it is time to take the Quiz are you ready?

To take the quiz click on the apple and books icon to return to the first page of the lesson click the knowledge guy icon.

Question 1

What is the square root of 169?A. 12

B. 4

D. 8

C. 13

Yes You Did IT!!!!!!!!!!!!!!!!!!!!!!

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Example

What is the square root of 49? Or what times itself will give you 49?

7x7 will give you 49.

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49 =7

Question 2

What kind of Numbers will you get from a perfect square when you square root?

A. Integers

B. Whole Numbers

D. Not Here

C. Counting Numbers

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What is a Perfect Square?

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A PERFECT SQUARE is a number that when multiplied by itself gives us an integer that is a perfect square when we take its square root.

Example:

16 = 4x4

Question 3

A root is_____________.A. A number that a perfect square is not equal to.

B. A number that a perfect square is equal to.

D. A number that is given by taking the square root of another number.

C. A perfect square.

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Roots ROOTS are the numbers that you get when

taking the square root of a number. Not all roots will be of perfect squares though.

Example:

Roots of perfect squares are always integers. This means that they can have positive and negative answers.

Example:

16 = 4

16 = +4 and -

4

Question 4

What is the square roots of 25, 81, 400, and 289.

A. 5, 9, 20, and 17.

B. 6, 9, 19, and 17.

D. 6, 8, 19, and 18.

C. 5, 8, 20, and 18.

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the Citation

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Yes You Did IT!!!!!!!!!!!!!!!!!!!!!!

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last Question of the Quiz for a retry or for help click the question mark

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Table of Perfect Squares and their RootsPerfect Squares

Roots

1 1

4 2

9 3

16 4

25 5

36 6

49 7

64 8

81 9

100 10

Perfect Squares

Roots

121 11

144 12

169 13

196 14

225 15

256 16

289 17

324 18

361 19

400 20

Citations

Square root symbol Forward, home and previous buttons are from the clipart on PowerPoint The Ohio Department of Education Dry erase background Sounds and animations from PowerPoint Square Roots Video Page on perfect squares

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Citations

Square root symbol Forward, home and previous buttons are from the clipart on PowerPoint The Ohio Department of Education Dry erase background Sounds and animations from PowerPoint http://www.youtube.com/watch?v=Ymcf14wC9Ck http://www.montgomeryschoolsmd.org/schools/blakehs/staff/greenj/perfect%20squa

res.htm

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