Unit 5: Proportional Relationships

Students develop the idea of a proportional relationship and apply proportional reasoning to circumference and area of circles.

Worksheets

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Unit

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Concept

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Practice

Set 1

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Set 2

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Advanced

Set 1

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Set 2

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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

1. Proportional Relationships and Equations
2. Two Equations for Each Relationship
3. 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

1. Comparing Relationships with Tables
2. Comparing Relationships with Equations
3. 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

1. Graphs of Proportional Relationships
2. Using Graphs to Compare Relationships
3. 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

1. How Well Can You Measure?
2. Exploring Circles
3. Exploring Circumference
4. 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

1. Estimating Areas
2. Area of a Circle
3. Applying Area of Circles

F Let’s Put It to Work · 4 lessons

Lessons

1. Four Representations (Optional)
2. Using Water Efficiently
3. Distinguishing Circumference and Area
4. Stained-Glass Windows (Optional)

Helpful to know first

The curriculum says this unit builds on these.

Grade 6 Accelerated · Unit 4 Equations and Expressions

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