MathematicsOperations with Rational Numbers - Integers

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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

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. 29-35
    • Glencoe CCGPS Math Text (McGraw-Hill, 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. 30-35
      Student  |  Teacher
    • Glencoe CCGPS Math Text (McGraw-Hill, 2013) p. 211-224
    • 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. 18-20
    • Integer Card Games: Largest Difference Wins
      Instructions  |  Student Sheet
  • CC.7.NS.1d
    • Glencoe CCGPS Math Text (McGraw-Hill, 2013) p. 199-224
    • 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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