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Math · Grade 7 Math · 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.
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Unit
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Concept
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Practice
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Advanced
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What this unit covers
A Representing Proportional Relationships with Tables · 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
- One of These Things Is Not Like the Others
- Introducing Proportional Relationships with Tables
- More about Constant of Proportionality
B Representing Proportional Relationships with Equations · 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
- Proportional Relationships and Equations
- Two Equations for Each Relationship
- Writing Equations to Represent Relationships
C Comparing Proportional and Nonproportional Relationships · 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
- Comparing Relationships with Tables
- Comparing Relationships with Equations
- Solving Problems about Proportional Relationships
D Representing Proportional Relationships with Graphs · 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
- Introducing Graphs of Proportional Relationships
- Interpreting Graphs of Proportional Relationships
- Using Graphs to Compare Relationships
- Two Graphs for Each Relationship
E Let’s Put It to Work · 2 lessons
Lessons
- Four Representations (Optional)
- Using Water Efficiently
Helpful to know first
The curriculum says this unit builds on these.
Adapted from the Illustrative Mathematics curriculum (v.360), licensed CC BY-NC 4.0. © Illustrative Mathematics.