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Square Numbers Area Models

- Unit One
- (sec. 1.1 1.2)
- Lesson 01
- Koomens Klass

2

- A square is a quadrilateral
- with four right angles and
- an equal number of units
- on every edge.

2

- When we multiply a number
- by itself, we square the
- number!

2 x 2 4

3 x 3 9

3

3

4 x 4 16

4

4

5 x 5 25

5

5

Square Numbers

2 x 2 4

- two times two equals four

- we say . . . two squared is four . . .

4 is a square number, or a PERFECT SQUARE

How can we determine whether or not a number is

square?

Write a division sentence so the quotient is

equal to the divisor.

When a number has an odd number of factors it is

square.

Square Roots

By definition Ö4 is the number you would

multiply times itself to get 4 for an answer.

Because we are familiar with multiplication, we

know that 2 x 2 4 so . . . Ö4 2

Numbers like 4, which have whole numbers for

their square roots, are called perfect squares

The number that you multiply by itself is called

the square root

2

The square root of 4 is

. . . because 2 x 2 4

3

The square root of 9 is

. . . because 3 x 3 9

4

The square root of 16 is

5

The square root of 25 is

You must memorize at least the first 15 perfect

square numbers and their corresponding roots ?

Square root

Square root

Perfect square

Perfect square

1

Ö1 1

81

Ö81 9

4

100

Ö4 2

Ö100 10

9

121

Ö9 3

Ö121 11

16

144

Ö16 4

Ö144 12

25

169

Ö25 5

Ö169 13

36

196

Ö36 6

Ö196 14

49

225

Ö49 7

Ö225 15

64

Ö64 8

PRACTICE. . .

text p. 9 (12 thru 17) p. 10

(20) p. 15 (9 thru 12)

p. 16 (17 thru 21)

- Show your work
- Check your answers

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