Chapter
6
Chapter Overview
Section 6.1
Lesson 1: Circles and Circumference
This lesson offers students a concrete method of determining an approximation
for pi. Using circular lids and string, students compare the circumference to the
diameter of circles.

9
Tables, Graphs,
and Functions
9.1
Mapping Diagrams
9.2
Functions as Words and Equations
9.3
Input-Output Tables
9.4
Graphs
9.5 Analyzing Graphs
e.
nother on
Heres a
.
gram
math ana
Heres a
The price of dog biscu
its is up
again this month.
MSFL6PE_0900_

Glossary Flash Cards
absolute value
addend
Addition Property of Equality
Addition Property of
Inequality
Addition Property of Zero
algebraic expression
Copyright Big Ideas Learning, LLC
All rights reserved.
Big Ideas Math 6
1
A number to be added to anoth

Photo Credits
Matthew Cole; 303 top left iStockphoto.com/Daniel Loiselle; center
right iStockphoto.com/Matthew Cole; 305 iStockphoto.com/David
Verinder; 307 Madeira Beach Middle School; 311 top right
iStockphoto.com/Alexandru Magurean; center left iStockp

11.1 Lesson
A terminating decimal is a decimal that ends.
Key Vocabulary
1.5, 0.25, 10.625
terminating decimal
repeating decimal
rational number
A repeating decimal is a decimal that has a pattern that repeats.
1.333 . . . = 1.3
0.151515 . . . = 0.15
Use

Student Index
This student-friendly index will help you find vocabulary, key ideas, and concepts. It is easily
accessible and designed to be a reference for you whether you are looking for a definition,
real-life application, or help with avoiding common

Additional Answers
Chapter 1
32. a. 5a 8
b. 2f + 25
Section 1.1
c. Florida has 67 counties. Georgia has
159 counties.
Vocabulary and Concept Check
1.
Algebraic
Expression
Numbers
x8
8
x
Subtraction
3w + 9
3, 9
w
Multiplication
and addition
6y 12
6, 12
y
M

Chapter 1
3. Write the problem. Underline the important numbers and
Chapter 1 Opener
units. Then underline the key word for the expression.
Write an expression that answers the key word question.
Then evaluate the expression on the right side of the
equat

Chapter 9
Chapter 9 Opener
Try It Yourself (p. 365)
1. Each Out value is 2 times the In value.
c. C = 2 r 2(3.14)r = 6.28r
When r = 1: C = 6.28(1) = 6.28
When r = 2: C = 6.28(2) = 12.56
The In value times 2 equals the Out value.
When r = 3: C = 6.28(3) =

Chapter 7
c. Sample answer: A taxi charges $2.10 for the first
Chapter 7 Opener
mile and $0.90 for each additional mile. You travel
13 miles. You pay the driver $20. How much change
do you receive?
Try It Yourself (p. 275)
1
2
1. 6ab = 6 (7) = 3(7) = 21

Chapter
3
Chapter Overview
Sections 3.13.3
Lesson 1: Estimating Decimal Products
This lesson is designed for students who may need a visual/concrete model to
round decimals for estimation. Students will use a 10 10 grid and base ten
blocks to determine ho

8
Inequalities
8.1 Writing and Graphing Inequalities
8.2
Solving Inequalities Using
Addition or Subtraction
8.3
Solving Inequalities Using
Multiplication or Division
8.4
Solving Two-Step Inequalities
water
ed into your
If you reach more than $20.
d
bowl a

6
Circles and Area
6.1
Circles and Circumference
6.2
Perimeters of Composite Figures
6.3 Areas of Circles
6.4 Areas of Composite Figures
er
any numb
Think of 1 and 9.
between
er,
the numb
add 4 to t 12, and
w
o
n
y,
a
k
c
a
O
y 3, subtr
r.
multiply b ur o

Chapter
5
Chapter Overview
Section 5.2
Lesson 1: Changing Units in a Rate
This lesson is designed for students who are struggling with remembering
conversion facts. Students will first complete a list of facts that show the
relationship between common uni

Chapter
7
Chapter Overview
Section 7.1
Lesson 1: Writing Equations in One Variable
These lessons review the vocabulary associated with algebraic equations and
provide practice writing algebraic equations from word sentences.
Lesson 1A: Writing Word Senten

Appendix
B
Chapter Overview
Sections B.1 and B.2
Lesson 1: Comparing Integers
This lesson is designed for students who may have difficulty internalizing
the concepts of greater than and less than as they apply to integers. Students
will build a number lin

Name _ Date _
Su pp ort ing
Ide a
5
MA.6.A.5.1
1. Eduardo receives $40 as a birthday gift. He spends
3
of this money on
10
9
on a souvenir. Eduardo puts the rest of the
20
money in his savings account. What percent of his birthday money does Eduardo
put i

Name_
B ig I de a
Date _
MA.6.A.2.1
2
1. The ratio of pineapple juice to ginger ale in the fruit punch recipe is 1 to 4. How
much ginger ale is needed to make 36 servings of fruit punch?
Fruit Punch - 12 servings
12 ounces frozen orange juice concentrate

Grades 68 FCAT 2.0 Mathematics Reference Sheet
Area
A
bh
Parallelogram
A
bh
Triangle
A
1
2 bh
Trapezoid
A
1
2 h (b1
Circle
A
r2
Rectangle
KEY
b
h
w
d
r
base
A
height
B
C
width
V
diameter
radius
P
slant height S.A.
b2)
area
area of base
circumference
volu

The Hands-On Equations+ Learning System
Level II
In Level I (the first seven lessons) of The Hands-On Equations Learning
System, the students have learned to physically represent and solve such
algebraic linear equations as
2x +
X
+
X
+ 2
=
2x + 10
= X
+