Unit Information
Content Map:
1b:
Operations with Rational Numbers: Fractions & Decimals
Checklist:
1b: Operations with Rational Numbers: Fractions & Decimals Checklist
Unit 1:
Examples and Explanations of
Standards
CCGPS Unit Standards or Troup County Version
(TCV):

CC.7.NS.1b Understand p = q as the number located a
distance q from p, in the positive or negative direction depending
on whether q is positive or negative. Show that a number and its
opposite have a sum of 0 (are additive inverses). Interpret sums of
rational numbers by describing realworld contexts.

CC.7.NS.1c Understand subtraction of rational
numbers as adding the additive inverse, p – q = p + (q) Show that
the distance between two rational numbers on the number line is the
absolute value of their difference, and apply this principle in
realworld contexts.

CC.7.NS.1d Apply properties of operations as
strategies to add and subtract rational numbers.

TCVCC.7.NS.2b Interpret products and quotients of
rational numbers by describing realworld contexts.

TCVCC.7.NS.2d Convert a fraction to a decimal using
long division knowing that the decimal form of a rational number
terminates in 0s or eventually repeats.

CC.7.NS.3 Solve realworld and mathematical
problems involving the four operations with rational numbers.
Prerequisites: As identified by the
CCGPS Frameworks

quantities can be shown using + or – and having
opposite directions or values

points on a number line show distance and direction

opposite signs of numbers indicate locations on
opposite sides of 0 on the number line

the opposite of an opposite is the number itself

the absolute value of a rational number is its
distance from 0 on the number line

the absolute value is the magnitude for a positive
or negative quantity

coordinates can be located and compared on a
coordinate grid using negative and positive rational numbers
Unit Length: 14
Days
Resources by Concept: (click on a
concept)
Concept
1: Multiplication and Division of Fractions (NS.2d & NS.2b) 
Essential Questions: 
 1. Why does the process of invert and
multiply work when dividing fractions?
 2. When I divide one number by another
number, do I always get a quotient smaller than my original
number?
 3. How do I convert a rational number to a
decimal using long division?
 4. Why is the product often smaller than
the original numbers when I multiply fractions?

Key Vocabulary: 
divisor 
reciprocal 
product 
repeating decimal 
dividend 
terminating
decimal 
quotient 


Resources: 
 CC.7.NS.2d
 CCGPS Frameworks The Repeater vs. the
Terminator TE p. 8794
Student 
Teacher
 Glencoe Math Text (McGrawHill, 2013)
p. 263271
 Algebraic Thinking Lesson 99
 CC.7.NS.2b
 Glencoe Math Text (McGrawHill, 2013)
 Multiplying  p. 311318
 Glencoe Math Text (McGrawHill, 2013)
 Dividing  p. 327334
 McDougall Littell Text Lesson 5.4
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Concept
2: Addition and Subtraction of Fractions (NS.bcd & NS.3) 
Essential Questions: 
 1. What models can be used to show
addition and multiplication of positive and negative rational
numbers?
 2. What strategies are most useful in
helping me develop algorithms for all operation with positive
& negative integers?

Key Vocabulary: 
sum difference additive inverse 
Resources: 
 CC.7.NS.1b
 CC.7.NS.1c
 CCGPS Frameworks “Helicopters &
Submarines” TE p. 3035
Student 
Teacher
 Glencoe Math Text (McGrawHill, 2013)
p. 211224
 McDougal Littell Text Lesson 2.3
 McDougal Littell Text Lesson 5.1
Subtract Only
 McDougal Littell Text Lesson 5.6
Subtract only
 7 Station p. 1820
 Integer Card Games: Largest Difference Wins
Instructions 
Student Sheet
 CC.7.NS.1d
 CCGPS Frameworks Hot Air Balloons TE
p. 3645
Student 
Teacher
 CCGPS Frameworks Debits & Credits TE
p. 4652
Student 
Teacher
 Glencoe Math Text (McGrawHill, 2013)
p. 199224
 McDougal Littell Text Page 85 (#
7,8,10,11)
 McDougal Littell Text Page 86 (# 23,
24, 25, 31,32,33)
 CC.7.NS.3

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