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Table of Contents
Number and Operations
Lesson 1
Reading and Writing Whole Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6
Lesson 2
Factors and Multiples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
Lesson 3
Prime and Composite Numbers. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
Lesson 4
Ordering Whole Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18
Lesson 5
Fractions and Mixed Numbers. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22
Lesson 6
Comparing Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26
Lesson 7
Place Value of Decimals. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30
Lesson 8
Comparing Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34
Lesson 9
Introduction to Integers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38
Lesson 10
Solving Problems with Whole Number Operations. . . . . . . . . . . . . . . . . . . . . . . . . 42
Lesson 11
Solving Problems by Adding and Subtracting Fractions. . . . . . . . . . . . . . . . . . . . . 46
Lesson 12
Rounding Whole Numbers and Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50
Lesson 13
Estimating to Solve Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54
Lesson 14
Multiplying by Two-Digit Whole Numbers. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
Lesson 15
Dividing By Single-Digit Whole Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62
Lesson 16
Adding and Subtracting Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 66
Lesson 17
Multiplying Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70
Measurement
Lesson 18
Using Rulers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74
Lesson 19
Converting Measurements. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78
Lesson 20
Estimating Area . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82
Lesson 21
Perimeter and Area . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 86
Lesson 22
Solving Problems with Measurements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 90
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Geometry
Lesson 23
Points, Lines, Segments, and Rays . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 94
Lesson 24
Quadrilaterals. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 98
Lesson 25
Three-Dimensional Figures. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 102
Lesson 26
Translations, Rotations, and Reflections. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 106
Algebraic Concepts
Lesson 27
Patterns. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 110
Lesson 28
Representing Unknown Quantities. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 114
Lesson 29
Solving Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 118
Data Analysis and Probability
Lesson 30
Analyzing Data in Charts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 122
Lesson 31
Interpreting Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 126
Lesson 32
Range, Median, Mode, and Mean . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 130
Lesson 33
Predicting Outcomes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 134
Lesson 34
Probability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 138
Math Words . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 142
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LESSON
24 Quadrilaterals
2EVIEW)T
When you work with quadrilaterals, remember these
words:
parallelogram a quadrilateral with opposite
sides parallel and opposite sides the same
length
rhombus a parallelogram with all sides the
same length
trapezoid a quadrilateral with exactly one pair
of parallel sides
Classify each quadrilateral.
Geometry
1
Step 1
2
3
Look at Figure 1.
THINK Parallel lines
never cross.
It has two pairs of parallel sides.
It is a parallelogram.
Step 2
Look at Figure 2.
It has exactly one pair of parallel sides.
It is a
Step 3
.
Look at Figure 3.
It has two pairs of parallel sides. That makes it a parallelogram.
And all of its sides are congruent, or the same length.
So, it is a
So, Figure 1 is a
and Figure 3 is a
REMEMBER Every
rhombus is a parallelogram.
.
, Figure 2 is a
.
,
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Lesson 24: Quadrilaterals
4RY)T
Write Parallelogram, Trapezoid, or
Neither.
1.
2.
3.
!SK
9OURSELF
1.
How many pairs of
parallel sides does
the figure have?
0, 1, or 2?
Write Rectangle, Rhombus, Both, or Neither.
4.
5.
6.
4.
What must a
rhombus have?
4 right angles or 4
equal sides?
8.
Geometry
7.
9.
Solve.
10.
11.
Bowie drew a quadrilateral that had four right angles. What
is the name of this quadrilateral?
10.
Do the four
sides have to be
congruent?
Yes or no?
Wendy drew a special quadrilateral. It had all right
angles and all sides congruent. What is the name of this
quadrilateral?
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/N9OUR/WN
1.
Which kind of quadrilateral is this?
A.
parallelogram
B.
rectangle
C.
rhombus
D.
trapezoid
3.
4.
Which kind of quadrilateral is this?
Geometry
2.
Circle the answer for each question.
5.
Which figure has to have four equal
sides?
A.
parallelogram
B.
rectangle
C.
rhombus
D.
trapezoid
What is true about a trapezoid?
A.
It has to be a parallelogram.
B.
It cannot be a parallelogram.
C.
It may or may not be a
parallelogram.
D.
It has to have a right angle.
A.
rectangle
B.
rhombus
C.
square
Sasha drew a quadrilateral with two
pairs of parallel sides and 4 right
angles. What has to be true about
Sasha’s quadrilateral?
D.
trapezoid
A.
It is a rectangle.
B.
It is a rhombus.
C.
It is a square.
D.
It is a trapezoid.
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Lesson 24: Quadrilaterals
6.
Explain how a parallelogram and a trapezoid are the same.
7.
Explain how a parallelogram and a trapezoid are different.
-ATH
7ORDS
Draw a line to match each quadrilateral to its description.
rectangle
All sides have to be equal.
9.
parallelogram
All sides have to be equal and all angles have to be right
angles.
10.
trapezoid
It has two pairs of parallel sides.
11.
rhombus
It has one pair of parallel sides.
12.
square
All angles have to be right angles.
Geometry
8.
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