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Math Β· Grade 7 Math Β· Unit 2

Unit 2: Introducing Proportional Relationships

Students develop the idea of a proportional relationship, working with relationships represented in tables, as equations, and on graphs.

Worksheets

Every sheet has an answer key. Free to print, no login.

What this unit covers

A Representing Proportional Relationships with Tables Β· 3 lessons
Goals
  • Determine the constant of proportionality for a proportional relationship represented in a table, and interpret it in context.
  • Explain how to calculate unknown values in a table that represents a proportional relationship.
Lessons
  1. One of These Things Is Not Like the Others
  2. Introducing Proportional Relationships with Tables
  3. More about Constant of Proportionality
B Representing Proportional Relationships with Equations Β· 3 lessons
Goals
  • Use an equation to solve problems involving a proportional relationship.
  • Write an equation to represent a proportional relationship, given a table or a description of the situation.
Lessons
  1. Proportional Relationships and Equations
  2. Two Equations for Each Relationship
  3. Writing Equations to Represent Relationships
C Comparing Proportional and Nonproportional Relationships Β· 3 lessons
Goals
  • Determine whether the values in a table could represent a proportional relationship.
  • Use a table to determine whether an equation represents a proportional relationship.
Lessons
  1. Comparing Relationships with Tables
  2. Comparing Relationships with Equations
  3. Solving Problems about Proportional Relationships
D Representing Proportional Relationships with Graphs Β· 4 lessons
Goals
  • Determine whether a given graph represents a proportional relationship.
  • Identify the constant of proportionality from the graph of a proportional relationship.
  • Interpret points on the graph of a proportional relationship.
Lessons
  1. Introducing Graphs of Proportional Relationships
  2. Interpreting Graphs of Proportional Relationships
  3. Using Graphs to Compare Relationships
  4. Two Graphs for Each Relationship
E Let’s Put It to Work Β· 2 lessons
Lessons
  1. Four Representations (Optional)
  2. Using Water Efficiently

Helpful to know first

The curriculum says this unit builds on these.

Grade 6 Math Β· Unit 2 Introducing Ratios
← Unit 1 See the whole map Unit 3 →

Adapted from the Illustrative Mathematics curriculum (v.360), licensed CC BY-NC 4.0. Β© Illustrative Mathematics.