1­4 square root.notebook
December 02, 2013
LT 1ab: I can estimate square roots. I can graph a square root on a number line. Define:
p.1
Unit 5
Square root is the ____________________ of a square x2
x
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 _____________.
1­4 square root.notebook
December 02, 2013
p.2
How do you Use perfect square numbers to estimate.
estimate a square root? step 1:
(no calculator)
step 2:
√ 62
√ 26
Graph Square Roots on a number line
Unit 5
­ 70
√
√6
AB
D
C
E F
(no calculator)
√ 4 =
√ 11 =
­ 18 =
√
­ 23 =
√
Squares and Find the area of the square.
Square Roots
Summary:
=
√15 = Estimate the length of each side of the square.
A = 80 in2
8 in
√
1 16
1­4 square root.notebook
CW
December 02, 2013
p.3
P p.3­4 (all)
p.3 (1, 2, 5, 6, 10, 11, 16)
Unit 5
1. List all the perfect squares between 0­250.
For 2­5, find the value of each square root.
2.
√16
3.
√ 49
­ 225
√
4.
5.
√ 254
For 6­9, find two consecutive integers that each square root is between.
6.
√ 84
7.
­ 8
√
√18
8.
9.
­ 112
√
For 10­13, estimate to the square root to the nearest tenth. (no calculator)
10.
√ 55
11.
­ 62
√
√ 37
12.
13.
√104
For 14­15, find the length of the side of a square with the given area.
14.
15.
A = 121 ft2
A = 1000 m2
For 16­17, estimate the length of the side of a square with the given area. (no calculator)
16.
17.
A = 10 m2
A = 150 m2
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?
1­4 square root.notebook
December 02, 2013
p.4
Unit 5
1­4 square root.notebook
December 02, 2013
Checking: IF Box 1
Use Mental Math to calculate each value ­ no calculator.
1. 5
2
2. 122
1 2
4. ( )
2
4
5. 3
(­3)2
3. Grab an IF sheet from the front.
1­4 square root.notebook
1­4
December 02, 2013
3­4
1­4 square root.notebook
December 02, 2013
p.1
LT 1ab: I can estimate square roots. I can graph a square root on a number line. Define:
Unit 5
Square root is the ____________________ of a square Inverse Operation
x2
x
example:
Define:
Positive Square Root
Principal Square ________________________________________________________________________
Root
=
Define:
Negative Square Root
=
negative cannot be inside the sq. root.
________________________________________________________________________
=
=
Define:
whole #
Perfect Square A number whose principal square root is a _____________.
List all perfect squares between 0­100:
List a few NON­perfect squares:
1­4 square root.notebook
How do you estimate a square root? (no calculator)
December 02, 2013
p.2
Use perfect square numbers to estimate.
Unit 5
step 1: identify the perfect square above and below
step 2:
estimate which one it is closer to √ 26
√ 62
√6
­ 70
√
1­4 square root.notebook
December 02, 2013
p.2
Graph Square Roots on a number line
AB
D
C
E F
(no calculator)
√ 4 =
√ 11 =
­ 18 =
√
­ 23 =
√
Squares and Find the area of the square.
Square Roots
=
√15 = Estimate the length of each side of the square.
A = 80 in2
8 in
√
1 16
1­4 square root.notebook
December 02, 2013
Summary:
x2 and x are inverse operations.
√
Use perfect squares (1, 4, 9, 16, 25, 36, etc.) to help estimate square roots.
1­4 square root.notebook
December 02, 2013
CW p.3 (1,2,5,6,10,11,16)
P p.3­4 (all)
Show all work.
1
2,5,6,10,11,16
1, 4, 9, 16, 25
121, 144, 169
2) 4
5) 2
5
6) 9 and 10
10) ≈ 7.4 or
11) ≈ ­7.9 or
16) ≈ 3.2 m 1­4 square root.notebook
December 02, 2013
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 3.1 m
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.
≈ 10.2 or 10.1
≈ 31.6 m
≈ 12.2 m or 12.3 m
p.4 answers
It grew perfect square roots.