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Today’s lesson . . .

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Today’s lesson . . .

What:

Square numbers and

Square roots

Why:

To examine the perfect square numbers up to 400 and to find the square root of both perfect and non-perfect square numbers.

This square represents which perfect square #?_______

This is also the __________ of the square.

The square root of this square is _________ because it is a 4 x 4 square. The square root is the ____________ length of the square.

16

area

4

side

= 1

= 2

= 3

= 4

= 5

= 6

= 7

= 8

= 9

= 10

= 11

= 12

= 13

= 14

= 15

= 16

= 17

= 18

= 19

= 20

The PERFECT SQUARE #

is the __________ of the

square!!!

AREA

The SQUARE ROOT #

represents the

__________ length of the

square!!!

SIDE

Perfect square EXAMPLES:

√64 = 2. √225 =

3. √ 36 = 4. √ 169 =

8

15

6

13

5. √ 400 = 6. √ 25 =

20

5

NON-PERFECT SQUARE # EXAMPLES:

Between which two consecutive whole numbers do the following #’s fall between?

√22 lies between _____ and _____.

√54 lies between _____ and _____.

4

5

8

7

3. √133 lies between _____ and _____.

4. √320 lies between _____ and _____.

12

11

17

18

Math -7NOTES

DATE: ______/_______/_______

NAME:

What: Square numbers and square roots

Why: To examine the perfect square numbers up to 400 and to find the square

root of both perfect and non-perfect square numbers.

This square represents which perfect square #?_______

This is also the __________ of the square.

The square root of this square is ________because it is a 4 x 4 square. The square root is the ____________ length of the square.

= 1

The PERFECT SQUARE #

is the __________ of the

square!!!

= 2

The SQUARE ROOT #

represents the

__________ length of the

square!!!

Perfect square EXAMPLES:

√64 = 2. √225 =

3. √ 36 = 4. √ 169 =

5. √ 400 = 6. √ 25 =

NON-PERFECT SQUARE # EXAMPLES:

Between which two consecutive whole numbers do the following #’s fall between?

√22 lies between _____ and _____.

√54 lies between _____ and _____.

3. √133 lies between _____ and _____.

4. √320 lies between _____ and _____.

NAME:________________________________________________________________________________DATE: _____/_____/__________

PRACTICE WORK

“Square roots and perfect square numbers”

Find the square root of the following numbers:

Between which two consecutive WHOLE numbers do the following #’s fall between?:

Short Answer:

Draw a picture that models the following perfect square number: 9

Jerry is designing a square patio. The patio has an area of 98 square feet. About how long

is each side of the patio?

What perfect square # does the square to the right represent? __________

What would its square root be (square to the right)? __________