9/21/2016
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.
1
9/21/2016
Find each square root.
64 cm2
81 cm2
9 cm2
Identify which numbers are perfect
squares.
A.
B.
C.
D.
E.
F.
8
16
146
169
200
324
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
Square
1
4
9
Root
12
13
14
25
36
225
256
289
324
361
7
64
81
10
Square
121
20
• 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
2