Table of Contents
Georgia Performance
Standards
NUMBER AND OPERATIONS
Chapter 1
Lesson 1
Lesson 2
Lesson 3
Lesson 4
Lesson 5
Number Sense
Understanding Place Value . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4
Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
Rounding to the Nearest Ten and Hundred . . . . . . . . . . . . . . . . . . . . . 12
Rounding Decimals to the Nearest Whole Number . . . . . . . . . . . . . . . 16
Estimating Sums and Differences . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20
M4N1.a, M4N1.b
M4N1.a, M4N1.b, M4N5.a
M4N2.a
M4N2.c
M4N2.b, M4N2.d, M4N7.d
Progress Check 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24
Progress Check 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26
Chapter 2
Lesson 6
Lesson 7
Lesson 8
Lesson 9
Lesson 10
Lesson 11
Lesson 12
Lesson 13
Lesson 14
Lesson 15
Lesson 16
Lesson 17
Lesson 18
Lesson 19
Operations
Multiplying Whole Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Division Facts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Dividing Whole Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Comparing Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Adding and Subtracting Whole Numbers and Decimals . . . . . . . . . . .
Multiplying Decimals by Whole Numbers . . . . . . . . . . . . . . . . . . . . . . .
Dividing Decimals by Whole Numbers . . . . . . . . . . . . . . . . . . . . . . . . .
Equivalent Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Adding and Subtracting Fractions with Common Denominators . . . . .
Equivalence between Mixed Numbers and Improper Fractions . . . . . .
Order of Operations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Solving Problems Using the Four Operations. . . . . . . . . . . . . . . . . . . .
Commutative and Associative Properties . . . . . . . . . . . . . . . . . . . . . .
Using Estimation to Solve Problems . . . . . . . . . . . . . . . . . . . . . . . . . .
28
32
36
40
44
48
52
56
60
64
68
72
76
80
M4N3
M4N4.a
M4N4.b, M4N4.c, M4N4.d
M4N5.b
M4N5.c
M4N5.d, M4N5.e
M4N5.d, M4N5.e
M4N6.a
M4N6.b
M4N6.c
M4N7.b
M4N7.a, M4P1.a—M4P1.d
M4N7.c, M4N7.d
M4N7.d, M4P1.a—M4P1.d
Progress Check 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84
Progress Check 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 86
MEASUREMENT
Chapter 3
Lesson 20
Lesson 21
Lesson 22
Measurement
Measuring Weight . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .88
Angles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .92
Rotations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .96
M4M1.a, M4M1.b, M4M1.c
M4M2.a, M4G1.a, M4P2.a—M4P2.d
M4M2.b, M4P4.a, M4P4.b
Progress Check 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 100
Progress Check 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 102
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Georgia Performance
Standards
GEOMETRY
Chapter 4
Lesson 23
Lesson 24
Lesson 25
Lesson 26
Geometry
Ordered Pairs on a Grid . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Lines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Quadrilaterals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Solid Figures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
104
108
112
116
M4G3.a, M4G3.b, M4G3.c
M4G1.b, M4G2.b
M4G1.c, M4G1.d, M4P2.a— M4P2.d
M4G2.a, M4G2.c, M4P4.a, M4P4.b
Progress Check 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 120
Progress Check 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 122
ALGEBRA
Chapter 5 Algebra
Lesson 27 Number Patterns. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 124
Lesson 28 Representing Unknowns . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 128
M4A1.a, M4P4.c
Lesson 29 Evaluating Expressions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 132
M4A1.c, M4P5.b
M4A1.b, M4A1.c, M4P3.d, M4P5.a,
M4P5.b, M4P5.c
Progress Check 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 136
Progress Check 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 138
DATA ANALYSIS
Chapter 6
Lesson 30
Lesson 31
Lesson 32
Data Analysis
Pictographs and Bar Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 140
Line Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 144
Different Ways to Graph the Same Data . . . . . . . . . . . . . . . . . . . . . . 148
M4D1.a, M4D1.b, M4P4.c
M4D1.a, M4D1.b, M4P4.c
M4D1.c, M4D.1.d, M4P3.a— M4P3.d
Progress Check 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 152
Progress Check 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 154
Progress Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 157
Glossary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 175
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Lesson 25
Quadrilaterals
Math Words to Know
quadrilateral a polygon with 4 sides
rectangle a parallelogram with 4 right angles
parallelogram a quadrilateral with both pairs
of opposite sides parallel
square a parallelogram with 4 right angles and
all sides equal in length
rhombus a parallelogram with 4 sides that are
equal in length
trapezoid a quadrilateral with exactly one pair
of parallel sides
parallelogram
rectangle
rhombus
square
trapezoid
Example 1
What is the best name for this figure?
Step 1 Is the figure a parallelogram?
There are two pairs of sides that
are parallel to each other.
Hint A parallelogram has two pairs of parallel
sides, and a trapezoid has only one pair.
The figure is a parallelogram.
Step 2 Is the figure a rhombus?
The figure does not have 4 sides
that are the same length.
Hint A square and rhombus both
have 4 sides with equal lengths.
It is not a rhombus. That means it is
not a square either.
Step 3 Is the figure a rectangle?
The figure does not have 4 right angles.
It is not a rectangle.
Solution The best name for the figure is parallelogram.
112
Geometry
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Example 2
Name this quadrilateral in as many ways as you can.
Step 1 Is the figure a parallelogram?
There are two pairs of sides that are parallel to each other.
The figure is a parallelogram.
Step 2 Is the figure a rectangle?
The figure has 4 right angles.
It is a rectangle.
Step 3 Is the figure a square?
Hint If a figure is not a square, it is also not a rhombus.
The figure does not have
4 sides the same length.
It is not a square.
Solution The quadrilateral is a parallelogram and a rectangle.
Example 3
Name this quadrilateral in as many ways as you can.
Step 1 Is the figure a parallelogram?
The figure does not have 2 pairs of parallel sides.
Hint If a figure is not a parallelogram, then it cannot be a rectangle, rhombus, or square.
Step 2 Is the figure a trapezoid?
The figure has a pair of parallel sides.
It is a trapezoid.
Solution The quadrilateral is a trapezoid.
Lesson 25: Quadrilaterals
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Multiple-Choice Questions
1.
2.
3.
114
What is the best name for this figure?
A.
trapezoid
Problem Solving Guide
B.
rhombus
Step 1 Identify the number of parallel sides that the quadrilateral has.
C.
quadrilateral
Step 2 Look at the answer choices. Think about the definition for each.
D.
parallelogram
Step 3 Match the definition to the figure.
Exactly how many right angles does
a square have?
A.
0
B.
1
C.
2
D.
4
4.
Which figure is not a parallelogram?
A.
B.
Exactly how many pairs of parallel sides
does a parallelogram have?
A.
0
B.
1
C.
2
D.
3
C.
D.
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5.
Which figure is not a quadrilateral?
7.
Which name cannot be used to
describe this quadrilateral?
A.
B.
C.
D.
6.
8.
A.
rectangle
B.
rhombus
C.
square
D.
trapezoid
Name the quadrilateral.
Which figure is a trapezoid?
A.
B.
9.
A.
rectangle
C.
square
B.
rhombus
D.
trapezoid
Name the quadrilateral.
C.
D.
A.
rectangle
C.
square
B.
rhombus
D.
trapezoid
Lesson 25: Quadrilaterals
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