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Math · Grade 6 Accelerated · Unit 5
Unit 5: Proportional Relationships
Students develop the idea of a proportional relationship and apply proportional reasoning to circumference and area of circles.
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Concept
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Advanced
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What this unit covers
A Representing Proportional Relationships with Equations · 3 lessons
Goals
- Use an equation to solve problems involving a proportional relationship.
- Write an equation of the form y = kx 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
B 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
C Representing Proportional Relationships with Graphs · 3 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
- Graphs of Proportional Relationships
- Using Graphs to Compare Relationships
- Two Graphs for Each Relationship
D Circumference of a Circle · 4 lessons
Goals
- Recognize that there are proportional relationships between the circumference, diameter, and radius of circles and express these relationships using equations.
- Solve problems involving circumference.
Lessons
- How Well Can You Measure?
- Exploring Circles
- Exploring Circumference
- Applying Circumference
E Area of a Circle · 3 lessons
Goals
- Justify that the area of a circle can be calculated with the formula A = pi r squared.
Lessons
- Estimating Areas
- Area of a Circle
- Applying Area of Circles
F Let’s Put It to Work · 4 lessons
Lessons
- Four Representations (Optional)
- Using Water Efficiently
- Distinguishing Circumference and Area
- Stained-Glass Windows (Optional)
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.