Download 2016-4-20 estimate square roots.notebook

2016­4­20 estimate square roots.notebook
Do Now:
April 20, 2016
Today is Wed
4/20
Take out last night's homework
Get Workbook from back. Tear
out page 115 (this is your HW)
Take a calculator
Warm Up
Evaluate
3 ­343
Solve for x
3x3 ­ 8 = 640
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2016­4­20 estimate square roots.notebook
April 20, 2016
HW ANSWERS
27
1000
125
1
343
3
10
13. x3 = 8
8000
9
4
20
5
14. x3 +17 = 199
15. 5x3 = 5
16. Juan bought a box to mail items to his brother. The box is in the shape of a cube and has a volume of 27 ft3. What is the measurement of each side of the box? Lesson 3: Estimating Square Roots
Student Outcomes:
Students will perform mathematical operations with square
and cube roots.
Students will estimate the square and cube root of
numbers that are not perfect squares or cubes.
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2016­4­20 estimate square roots.notebook
April 20, 2016
We have learned about numbers that
are perfect squares, but what about all
of the other numbers?
32
Not a
=?
Each square root is
between two
integers.
perfect
square!
32
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2016­4­20 estimate square roots.notebook
April 20, 2016
We can use a number line as a visual tool
to help estimate square roots.
­1
0
1
2
3
4
5
6
7
8
9
10
Estimating Square Roots
Each square root is between two integers. Find the
integers.
√55
√91
180
√300
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2016­4­20 estimate square roots.notebook
April 20, 2016
Estimating Square Roots with the calculator
Using your calculator, take the square
root and round your answer to the
nearest tenth.
√600
√940
√345
Each square on Laura's chessboard has an
area of 13 square centimeters. A chessboard
has 8 squares on each side. To the nearest
hundredth, what is the width of Laura's
chessboard?
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2016­4­20 estimate square roots.notebook
April 20, 2016
Operations with Square and Cube Roots
Take the square root of each number,
then evaluate the expression.
81 + 2 144
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2016­4­20 estimate square roots.notebook
April 20, 2016
Practice!
3
225 - 1000
√ (9 + 16)
2(
36 + 361 )
Solve the equation x2 + 7 = 88
a) x = 9.2
b) x = -9
c) x = 9
d) both b and c
Simplify ∛216
a) 9
b) 8
c) 6
d) 7
A square tablecloth has an area of 324 square
meters. Find the length of each side of the
tablecloth.
a) 17
b) 19
c) 18
d) 18.5
How many roots are there for a perfect square?
a) 0
b) 1
c) 2
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2016­4­20 estimate square roots.notebook
April 20, 2016
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