June, 2016
Middle School Accelerated
Module 2: Rational Numbers, Integers, Exponents & Scientific Notation
Topic A: Addition and Subtraction of Integers and Rational Numbers
• 7.NS.A.1 Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent
addition and subtraction on a horizontal or vertical number line diagram.
Opposite Quantities Combine to Make Zero
Problem Set
Materials
Sample Solutions
Video Support
Video 1: Combining Opposite Rational Numbers
Video 2: Combining Opposite Numbers
Video 3: The Concept of Additive Inverse
Using the Number Line to Model the Addition of Integers
Problem Set
Materials
Sample Solutions
Understanding Addition of Integers
Problem Set
Materials
Efficiently Adding Integers and Other Rational Numbers
Materials
Problem Set
Video Support
Video 1: Adding Two Positive or Negative Integers
Video 2: Add Integers Using Number Line
Video 3: Add Integers Using Number Line
Video 4: Add and Subtract Integers on a Number Line
Sample Solutions
Video Support
Video 1: Adding Integers With Opposite Signs
Video 2: Add Integers Using a Number Line
Sample Solutions
Video Support
Understanding Subtraction of Integers and Other Rational Numbers
Materials
Sample Solutions
Problem Set
Video 1: Real-world Problems Involving Fractions
Video 2: Subtract Integers Using a Number Line
Video Support
Video 1: Subtract Integers Using Integer Chips
Video 2: Subtract Integers Using Number Lines
Video 3: Subtraction is Adding the Additive Inverse
June, 2016
The Distance Between Two Rational Numbers
Materials
Problem Set
Sample Solutions
Addition and Subtraction of Rational Numbers
Materials
Problem Set
Sample Solutions
Video Support
Video 1: Solve Real-World Problems Involving Decimals
Video 2: Difference Definition
Video 3: Absolute Value and Number Lines
Applying the Properties of Operations to Add and Subtract Rational Numbers
Materials
Sample Solutions
Problem Set
Video Support
Video 1: Solve Real-World Problems With Rational Numbers
Video 2: Solve Real-World Problems Involving Decimals
Video Support
Video 1: Properties of Rational Numbers
Video 2: The Commutative and Associative Properties
Video 3: Regroup With Distributive Property
Topic B: Multiplication and Division of Integers and Rational Numbers
• 7.NS.A.2 Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational
numbers.
Understanding Multiplication of Integers
Problem Set
Materials
Sample Solutions
Video Support
Video 1: Multiply Integers Using Patterns
Video 2: Multiply Sets of Integers on a Number Line
Video 3: Multiply Positive and Negative Integers
Develop Rules for Multiplying Signed Numbers
Problem Set
Materials
Sample Solutions
Video Support
Video 1: Multiplying Integers
Video 2: Multiply a Negative By a Negative
June, 2016
Division of Integers
Problem Set
Materials
Sample Solutions
Video Support
Video 1: Division of Integers - The Basics
Video 2: Rules for Multiplying and Dividing Integers
Topic C: Applying Operations with Rational Numbers to Expressions and Equations
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7.NS.A.3 Solve real-world and mathematical problems involving the four operations with rational numbers.
7.EE.A.2 Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the
quantities in it are related. For example, a + 0.05a = 1.05a means that “increase by 5%” is the same as “multiply by 1.05.)
7.EE.B.4a Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities
to solve problems by reasoning about the quantities.
Investments: Performing Operations with Rational Numbers
Problem Set
Materials
Sample Solutions
Video Support
Video 1: Solving an Investment Problem
Video 2: Interest Word Problems