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How many squares are on a traditional 8 x 8
checkerboard? (The answer is not 64.)
Squares and Square Roots
I can identify perfect squares and
their roots.
I can solve equations with squares.
Find the area of the square.
3
4 cm
• To square a number,
multiply it by itself.
32 = 9
“Three squared equals nine”
A square that has a side length of 5 yd.
Squares
Area = 49
units2
Find the area of each square.
Square Roots
• The side length for the square with area 25 is
the square root of 25.
25
• What number can you square to equal 81?
Area = 25
Find each missing side length.
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Find each square root.
441 cm2
676 cm2
9 cm2
Identify which numbers are perfect
squares.
A.
B.
C.
D.
E.
F.
Perfect Squares
• When you take the square root and get a
whole number answer, then that area is a
perfect square.
• Roots are the square side lengths.
• Squares are their areas.
Perfect Squares & Their Roots
Root
1
2
3
4
5
6
7
8
9
10
8
16
146
169
200
324
Square
1
4
9
16
25
36
49
64
81
100
Root
11
12
13
14
15
16
17
18
19
20
Square
121
144
169
196
225
256
289
324
361
400
• Each square also has a negative square root.
16 in2
4 × 4 = 16
and
−4 × −4 = 16
So 16 could = 4 or −4.
Another way to write this would be 16 = ±4
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Evaluating Square Root Expressions
Evaluate.
• Be careful to follow order of operations
– Parentheses & other Grouping Symbols
P
• (6 + 9), [2(14 − 8)], −28 ,
7+3
5
10 − 7
9
49
3 2.25 + 6
, 9 + 16
– Exponents & Roots
E
•
M/D
A/S
64, 23, 105,
3
343
– Multiply or Divide from left to right
– Add or Subtract from left to right
Evaluate.
3 −21 + 37
2
Evaluate.
112
−6
7
81
2
−5
2
80
−3
5
Exit Card
1.
2.
28
+ 2.4
7
10 − 4
3. 2 36 + 9
1
16
3