LT 1ab: I can estimate square roots. I can graph a square root on a number line. Define:
p.1
Square root is the ____________________ of a square. x2
x
ex.
Define:
Principal Square Root
_________________________________________________________________
=
=
Define:
Negative Square _________________________________________________________________
Root
=
Define:
Perfect Square
List all perfect squares between 0­100:
List a few NON­perfect squares:
=
A number whose principal square root is a ___________.
How do you estimate a square root? (no calculator)
step 1:
step 2:
√ 26
Graph Square Roots on a number line
√ 62
AB
√6
C
√ 4 =
√ 11 =
­ 18 =
√
­ 23 =
√
Squares and Find the area of the Square Roots square.
D
8 in
­ 70
√
E F
√
1 16
=
√15 = Estimate the length of each side of the square.
A = 80 in2
Summary:
p.2
Use perfect square numbers to estimate.
CW
P
p.3 (1,2,5,6,10,11,16)
p.3
p.3­4 (all)
1. List all the perfect squares between 0­250.
For 2­5, find the value of each square root.
2.
3.
√16
√ 49
4.
­ 225
√
5.
√ 254
For 6­9, find two consecutive integers that each square root is between.
6.
7.
√84
­ 8
√
√18
8.
9.
­ 112
√
For 10­13, WITHOUT a calculator, estimate the square root to the nearest tenth.
10.
11.
√ 55
­ 62
√
12.
√ 37
13.
√104
For 14­15, find the side length of the square with the given area.
14.
15.
A = 121 ft2
A = 1000 m2
For 16­17, WITHOUT a calculator, estimate the side length of the square with the given area.
16.
17.
A = 10 m
2
A = 150 m2
12 = 1
22 = 4
32 = 9
42 = 16
52 = 25
62 = 36
72 = 49
82 = 64
92 = 81
102 = 100
112 = 121
122 = 144
132 = 169
142 = 196
152 = 225
Cheat Sheet
W
R
G
R
U
C
I
Directions: For each problem, figure out which consecutive integers the square root lies between. Write the letter of the problem on the number line between these two integers. What happened to the plant in Mrs. Shen's math class?
p.4
p.3 answers
1. 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225
2.
3.
4
9 and 10
­2 and ­3
11.
10.
11 ft
≈ 3.2 m or 5.
2
5
9.
4 and 5
12.
≈ ­7.9 or ­7.8
≈ 7.4 or 7.3
16.
­15
8.
7.
6.
14.
7
4.
­10 and ­11
13.
≈ 6.1
15.
17.
3.1 m
p.4 answers
It grew perfect square roots.
≈ 10.2 or 10.1
≈ 31.6 m
≈ 12.2 m or 12.3 m