Unit 3: Measuring Circles

Students apply their knowledge of proportional relationships to measuring circles, learning the relationships between radius, diameter, circumference, and area.

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 Circumference of a Circle · 5 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
5. Circumference and Wheels (Optional)

B Area of a Circle · 4 lessons

Goals

• Justify that the area of a circle can be calculated with the formula involving pi and the square of the radius.
• Recognize that the area of a circle is not proportional to its diameter or radius.
• Solve problems involving the area of a circle.

Lessons

1. Estimating Areas
2. Exploring the Area of a Circle
3. Relating Area to Circumference
4. Applying Area of Circles

C Let’s Put It to Work · 2 lessons

Lessons

1. Distinguishing Circumference and Area
2. Stained-Glass Windows (Optional)

Helpful to know first

The curriculum says this unit builds on these.

Grade 7 Math · Unit 2 Introducing Proportional Relationships

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