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

CC.7.NS.1a Describe situations in which opposite
quantities combine to make 0

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.2a,c Apply the rules for multiplying and
dividing integers (signed numbers)

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

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: 20
days
Resources by Concept: (click on a
concept)
Concept
1: Multiplication and Division of Integers (NS.2) 
Essential Questions: 
 1. What strategies are most useful in
helping me develop algorithms for adding, subtracting,
multiplying, and dividing positive and negative rational
numbers?

Key Vocabulary:
Note per DOE  Vocabulary is not to be
memorized by students 
integers positive numbers negative numbers rational numbers 
Resources: 
 CC.7.NS.2a,c:
 CC.7.NS.2b
 CCGPS Frameworks Patterns of
Multiplication & Division
Student 
Teacher
 7 Station p. 2935
 Glencoe CCGPS Math Text (McGrawHill, 2013)
p. 225  227 and 252
 McDougal Littell Text Lesson 2.5
 McDougal Littell Text Lesson 5.3
 McDougal Littell Text Lesson 5.7
Division only
 Algebraic Thinking Lesson 88 (old)

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Concept
2: Addition and Subtraction of Integers 
Essential Questions: 
 1. What models can be used to show
addition and subtraction of positive and negative rational
numbers?
 2. What strategies are most useful in
helping me develop algorithms for adding, subtracting,
multiplying, and dividing positive and negative rational
numbers?
 3. How do I use a number line to model
addition or subtraction of rational numbers?

Key Vocabulary: Note per DOE  Vocabulary is not to be
memorized by students 
ZERO pair 
rational numbers 
additive Inverse 
positive numbers 
negative numbers 
multiplicative
inverse 
positive numbers 


Resources: 
 CC.7.NS.1b
 CC.7.NS.1c
 CCGPS Frameworks “Helicopters &
Submarines” TE p. 3035
Student 
Teacher
 Glencoe CCGPS 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
 Glencoe CCGPS 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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