1. 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.

2. 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

3. 1² = _____ 1 = 1 2² = _____ 4 = 2 3² = _____ 9 = 3 4² = _____ 16 = 4
Perfect Squares
Square Roots:
1² = _____
2² = _____
3² = _____
4² = _____
5² = _____
6² = _____
7² = _____
8² = _____
9² = _____
10² = _____
11² = _____
12² = _____
13² = _____
14² = _____
15² = _____
16² = _____
17² = _____
18² = _____
19² = _____
20² = _____
1 = 1
4 = 2
9 = 3
16 = 4
25 = 5
36 = 6
49 = 7
64 = 8
81 = 9
100 = 10
121 = 11
144 = 12
169 = 13
196 = 14
225 = 15
256 = 16
289 = 17
324 = 18
361 = 19
400 = 20

4. is the __________ of the __________ length of the
The PERFECT SQUARE #
is the __________ of the
square!!!
AREA
The SQUARE ROOT #
represents the
__________ length of the
square!!!
SIDE

5. Perfect square EXAMPLES:
√64 = √225 =
3. √ 36 = √ 169 =
5. √ 400 = √ 25 = 8 15 6 13 20 5

6. 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 _____.
√320 lies between _____ and _____. 4 5 7 8 11 12 17 18

7. is the __________ of the __________ length of the
Math -7NOTES
DATE: ______/_______/_______
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.
NAME:
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.
Perfect Squares
Square Roots:
1² = _____
2² = _____
3² = _____
4² = _____
5² = _____
6² = _____
7² = _____
8² = _____
9² = _____
10² = _____
11² = _____
12² = _____
13² = _____
14² = _____
15² = _____
16² = _____
17² = _____
18² = _____
19² = _____
20² = _____
1 = 1
The PERFECT SQUARE #
is the __________ of the
square!!!
4 = 2
The SQUARE ROOT #
represents the
__________ length of the
square!!!

8. Perfect square EXAMPLES:
√64 = √225 =
3. √ 36 = √ 169 =
5. √ 400 = √ 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 _____.
√133 lies between _____ and _____.
√320 lies between _____ and _____.

9. “Square roots and perfect square numbers”
PRACTICE WORK
NAME:________________________________________________________________________________DATE: _____/_____/__________
“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?:
lies between __________ and __________.
lies between __________ and __________.
lies between __________ and __________.
lies between __________ and __________.
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)? __________