Table of Contents
Tennessee State
PPerformance
f
IIndicators
di t
Chapter 1: Number and Operations
Lesson 1
Adding and Subtracting Decimals . . . . . . . . . . . . . . . . . . . . . 6 0606.2.3,
0606.2.4
Lesson 2
Multiplying Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 0606.2.3,
0606.2.4
Lesson 3
Properties of Addition and Multiplication . . . . . . . . . . . . . . . 14 0606.1.4
Lesson 4
Dividing with Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 0606.2.3,
Lesson 5
Estimating with Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 0606.1.2
Lesson 6
Adding and Subtracting Mixed Numbers . . . . . . . . . . . . . . . 26 0606.2.2,
0606.2.4
Lesson 7
Multiplying Fractions and Mixed Numbers . . . . . . . . . . . . . . 30 0606.2.1,
0606.2.2
Lesson 8
Dividing Fractions and Mixed Numbers . . . . . . . . . . . . . . . . 34 0606.2.1,
0606.2.2
Lesson 9
Estimating with Fractions and Mixed Numbers . . . . . . . . . . 38 0606.1.2
Lesson 10
Relating Fractions, Decimals, and Percents . . . . . . . . . . . . . 42 0606.2.5,
Lesson 11
Ratios and Rates . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46 0606.2.6
Lesson 12
Applying Percents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 0606.2.5,
0606.2.6
Lesson 13
Integers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54 0606.1.3,
0606.2.8
0606.2.4
0606.2.7
Chapter 2: Algebra
Lesson 14
Order of Operations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58 0606.3.2
Lesson 15
Writing Expressions and Equations . . . . . . . . . . . . . . . . . . . 62
Lesson 16
Solving Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 66 0606.3.6
Lesson 17
Solving and Graphing Inequalities . . . . . . . . . . . . . . . . . . . . 70 0606.3.1
Lesson 18
Graphing Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74 0606.3.8
Lesson 19
Geometric and Numeric Patterns. . . . . . . . . . . . . . . . . . . . . 78 0606.3.7
Lesson 20
Ordered Pairs. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82 0606.3.9
0606.1.5, 0606.3.3,
0606.3.4, 0606.3.5
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Tennessee State
Performance Indicators
Chapter 3: Geometry and Measurement
Lesson 21
Two-Dimensional Figures . . . . . . . . . . . . . . . . . . . . . . . . . . . 86 0606.4.1,
Lesson 22
Triangles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 90
Lesson 23
Circles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 94 0606.4.4
Lesson 24
Three-Dimensional Figures. . . . . . . . . . . . . . . . . . . . . . . . . . 98 0606.4.1
Lesson 25
Surface Area . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 102 0606.4.5
Lesson 26
Volume. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 106 0606.4.5,
0606.4.2
0606.4.1, 0606.4.2, 0606.4.3
0606.4.6
Chapter 4: Data Analysis, Statistics, and Probability
Lesson 27
Bar Graphs and Line Graphs . . . . . . . . . . . . . . . . . . . . . . . 110 0606.1.1
Lesson 28
Circle Graphs. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 114 0606.1.1
Lesson 29
Biased Sampling and Misleading Graphs. . . . . . . . . . . . . . 118 0606.5.2,
Lesson 30
Probability of Simple Events. . . . . . . . . . . . . . . . . . . . . . . . 122 0606.5.1
Lesson 31
Probability of Compound Events . . . . . . . . . . . . . . . . . . . . 126 0606.5.1
0606.5.3
Math Words . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 130
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LESSON
18 Graphing Functions
Review It!
When you are graphing functions, remember these
words:
Algebra
ordered pair two numbers that give a
location on a coordinate grid
function a relationship that shows how one
quantity depends on another quantity
The graph shows the total number of miles that Mr. and Mrs. Lennier
drove on their trip. What function is represented by the graph?
y
Number of Miles
Miles Driven
250
200
150
100
50
0
1
2
3
4
5
x
Number of Hours
Step 1
Step 2
Make a table to show the ordered pairs.
Number of
Hours ( x )
0
1
2
Number of
Miles ( y )
0
50
100
3
4
5
REMEMBER The
y-axis is vertical.
Find the pattern.
The value of y is
times the value of x.
The graph represents the function y ⴝ
.
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Lesson 18: Graphing Functions
Try It!
How many quarts equal 8 gallons?
How many quarts equal 14 gallons?
3.
How many gallons equal 24 quarts?
4.
How many gallons equal 36 quarts?
1.
20
19
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
What iss the rule of
the function?
4 quarts per gallon or
4 gallons per quart?
Algebra
2.
!SK
9OURSELF
y Quarts per
Gallon
Quarts
1.
The graph below shows the relationship
between the number of gallons and the
number of quarts. Use the graph for
questions 1–4.
0
1 2 3 4 5 6
x
Gallons
The graph below shows the relationship between
the length of one side of a regular hexagon and the
perimeter. Use the graph for questions 5 and 6.
5.
What is the perimeter of a regular
hexagon with a side length of 9 cm?
5.
Perimeter of
y a Regular
Hexagon
What is a regular
hexagon?
a 6-sided shape with
equal-length sides or
a 6-sided shape with
different-length sides?
40
36
How long is each side of a regular
hexagon with a perimeter of 66 cm?
32
Perimeter (cm)
6.
28
24
20
16
12
8
4
0
1 2 3 4 5 6
x
Side Length (cm)
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On Your Own!
Which graph shows the amount of
money it costs to take a taxi?
y
Taxi Fares
x
Time
Taxi Fares
Cost (dollars)
B.
Distance (miles)
C.
x
Distance (miles)
D.
C.
x
Taxi Fares
Distance (miles)
y
D.
x
x
Water in Sink
x
Water in Sink
Time
Cost (dollars)
y
y
Time
Taxi Fares
Cost (dollars)
y
Water in Sink
Amount of Water
Algebra
y
y
Amount of Water
Cost (dollars)
A.
Distance (miles)
B.
Maxine fills a sink with water, turns
off the faucet, and then empties
the sink. Which graph shows this
situation?
Amount of Water
A.
2.
y
x
Water in Sink
Amount of Water
1.
Circle the best answer.
Time
x
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Lesson 18: Graphing Functions
3.
The graph below shows the relationship between the distance in a scale drawing and
the actual distance.
Actual Distance (m)
Relationship Between
y Scale Drawing and
Actual Distance
12
11
10
9
8
7
6
5
4
3
2
1
0
1 2 3 4 5 6 7 8 9 10
x
Algebra
Scale Drawing (cm)
Part A
If the scale drawing is represented by x and the actual distance is
represented by y, what equation best represents the graph?
Part B
Explain how you determined the equation of the graph.
Math
Words
Fill in the blanks.
4.
A(n)
quantity.
5.
Two numbers that name the location of a point on a coordinate grid are a(n)
is a relationship that shows how one quantity depends on another
.
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