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Table of Contents
Georgia Performance
Standards
NUMBER AND OPERATIONS
Chapter 1 Number Sense
Lesson 1 Factors and Multiples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .4
Lesson 2 Prime and Composite Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .8
Lesson 3 Divisibility . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .12
Lesson 4 Decimals and Multiplying by 10 or 100 . . . . . . . . . . . . . . . . . . . . . . . . .16
Lesson 5 Multiplying and Dividing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .20
Lesson 6 Multiplying by 1- and 2-Digit Numbers . . . . . . . . . . . . . . . . . . . . . . . . .24
Lesson 7 Dividing by 2-Digit Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .28
M5N1.b
M5N1.a, M5P3.b, M5P3.d
M5N1.c, M5P2.b, M5P2.c
M5N2.a, M5N2.b, M5P5.a
M5N3.a, M5N3.b
M5N3.a, M5N3.b, M5N3.c, M5N3.d
M5N3.a, M5N3.b, M5N3.c, M5N3.d
Progress Check 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32
Progress Check 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34
Chapter 2
Lesson 8
Lesson 9
Lesson 10
Lesson 11
Lesson 12
Lesson 13
Lesson 14
Lesson 15
Lesson 16
Lesson 17
Fractions and Percents
Equivalent Fractions and Simplifying Fractions . . . . . . . . . . . . . . . . . . .36
Fractions as Division . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .40
Modeling, Multiplying, and Dividing Fractions . . . . . . . . . . . . . . . . . . . .44
Greatest Common Factor (GCF) and Least Common Multiple (LCM) . . .48
Finding Common Denominators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .52
Comparing Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .56
Adding and Subtracting Fractions with Unlike Denominators . . . . . . . . .60
Fractions and Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .64
Fractions: Estimating Products and Quotients . . . . . . . . . . . . . . . . . . . .68
Percent Models and Applications . . . . . . . . . . . . . . . . . . . . . . . . . . . . .72
M5N4.b, M5N4.c, M5P5.a, M5P5.b
M5N4.a, M5P2.d, M5P5.a
M5N4.d, M5P5.a, M5P5.b, M5P5.c
M5N4.e
M5N4.e, M5P4.a, M5P4.b
M5N4.f
M5N4.g
M5N4.h
M5N4.i, M5P2.b
M5N5.a, M5N5.b, M5P1.b, M5P1.d
Progress Check 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76
Progress Check 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78
MEASUREMENT
Chapter 3 Area, Capacity, and Volume
Lesson 18 Estimating Areas . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .80
Lesson 19 Areas of Parallelograms and Triangles . . . . . . . . . . . . . . . . . . . . . . . . . .84
Lesson 20 Area of a Parallelogram . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .88
Lesson 21 Area of a Circle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .92
M5M1.a, M5P1.a, M5P1.c
M5M1.b–c, M5P2.a, M5P4.a–b
M5M1.d, M5P1.b, M5P2.a
M5M1.e, M5P1.a, M5P2.b, M5P2.d,
M5P3.a
Lesson 22
Lesson 23
Lesson 24
Lesson 25
Area of a Composite Figure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .96
Customary Units of Capacity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .100
Introduction to the Volume of a Prism . . . . . . . . . . . . . . . . . . . . . . . . .104
Volumes of Rectangular Prisms and Cubes . . . . . . . . . . . . . . . . . . . . .108
M5M1.f, M5P1.a, M5P1.d
M5M3.a, M5M3.b
M5M4.a–c, M5M4.f, M5P3.a, M5P3.d
M5M4.d, M5P1.b, M5P4.c
Progress Check 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 112
Progress Check 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 114
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Georgia Performance
Standards
GEOMETRY
Chapter 4 Geometric Applications
Lesson 26 Congruent Triangles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .116
Lesson 27 Circumference and Diameter . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .120
M5G1, M5P2.b, M5P2.c, M5P2.d
M5G2, M5P2.b, M5P2.d, M5P4.a
Progress Check 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 124
Progress Check 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 126
ALGEBRA
Chapter 5 Algebraic Expressions
Lesson 28 Representing Unknown Quantities . . . . . . . . . . . . . . . . . . . . . . . . . . .128
Lesson 29 Evaluating Algebraic Expressions . . . . . . . . . . . . . . . . . . . . . . . . . . . .132
M5A1.a, M5P3.c, M5P5.a, M5P5.b
M5A1.b–c, M5P3.c, M5P5.a–b
Progress Check 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 136
Progress Check 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 138
DATA ANALYSIS
Chapter 6 Analyzing Data
Lesson 30 Analyzing Data from Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .140
Lesson 31 Comparing and Contrasting Graphic Representations . . . . . . . . . . . . .144
M5D1.a, M5P5.a, M5P5.b, M5P5.c
M5D1.b, M5D2, M5P5.a–c
Progress Check 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 148
Progress Check 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 150
Progress Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 153
Glossary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 174
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Lesson 15
Fractions and Decimals
Math Words to Know
decimal a number with a decimal point
0.7
0.29
0.01
3.5
Example 1
7 as a decimal.
Write ___
10
7 . Count the shaded parts. Count all the parts.
Step 1 Look at the model of ___
10
7 of 10 parts are shaded.
Step 2 Write the decimal. Use the number of shaded parts.
Hint The 7 in 0.7 is in the tenths place.
Since 7 of 10 parts are shaded, write 0.7.
7
Solution ___
10 written as a decimal is 0.7.
64
Fractions and Percents
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Example 2
3
Write __
as a decimal.
5
3
. Draw lines to make ten parts.
Step 1 Look at the model of __
5
5 parts
10 parts
6 of 10 parts are shaded.
Step 2 Write the decimal. Use the number of shaded parts.
3 ___
Hint __
, 6 , and 0.6 all name the same amount.
5 10
Since 6 of 10 parts are shaded, write 0.6.
3
Solution __
5 written as a decimal is 0.6.
Example 3
59
Write ___
as a decimal.
100
59
Step 1 Look at the model of ___
. Count the shaded parts.
100
Count all the parts.
59 of 100 parts are shaded.
Step 2 Write the decimal. Use the number of shaded parts.
Hint The 9 in 0.59 is in the hundredths place.
Since 59 of 100 parts are shaded, write 0.59.
59
Solution ___
100 written as a decimal is 0.59.
Lesson 15: Fractions and Decimals 65
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Multiple-Choice Questions
1.
9
Which is ___
written as a decimal?
10
9
Test Taking Tip Draw a model of ___
. Count the parts. Count the shaded parts.
10
2.
3.
4.
66
A.
0.09
0.09 does not match the model.
B.
0.1
0.1 does not match the model.
C.
0.6
0.6 does not match the model.
D.
0.9
0.9 matches the model.
1 written as a decimal?
Which is __
5
5.
2 written as a decimal?
Which is __
5
A.
0.2
A.
0.44
B.
0.1
B.
0.4
C.
0.02
C.
0.2
D.
0.01
D.
0.02
32
written as a decimal?
Which is ___
100
6.
9
written as a decimal?
Which is ___
100
A.
0.23
A.
0.9
B.
0.3
B.
0.1
C.
0.32
C.
0.09
D.
0.4
D.
0.01
6
written as a decimal?
Which is ___
10
7.
3
written as a decimal?
Which is ___
10
A.
0.01
A.
0.3
B.
0.06
B.
0.1
C.
0.1
C.
0.03
D.
0.6
D.
0.01
Fractions and Percents
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8.
9.
10.
11.
99
Which is ___
written as a decimal?
100
12.
4 written as a decimal?
Which is __
5
A.
0.01
A.
0.08
B.
0.09
B.
0.4
C.
0.11
C.
0.45
D.
0.99
D.
0.8
47 written as a decimal?
Which is ___
100
13.
1 written as a decimal?
Which is __
2
A.
0.07
A.
0.5
B.
0.04
B.
0.2
C.
0.47
C.
0.1
D.
0.53
D.
0.05
2 written as a decimal?
Which is ___
10
A.
0.22
B.
0.2
C.
0.11
D.
0.1
14.
4 written as a decimal?
Which is ___
10
A.
0.6
B.
0.56
C.
0.44
D.
0.4
15.
7 of her sandwich. Which is ___
7
Jenna ate ___
10
10
written as a decimal?
A.
0.01
B.
0.07
C.
0.1
D.
0.7
89
on his test.
Julio earned a score of ___
100
89
___
Which is 100 written as a decimal?
A.
0.9
B.
0.89
C.
0.11
D.
0.1
Lesson 15: Fractions and Decimals 67
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