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Math · Grade 7 Math · Unit 3
Unit 3: Measuring Circles
Students apply their knowledge of proportional relationships to measuring circles, learning the relationships between radius, diameter, circumference, and area.
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Unit
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Concept
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Practice
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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
- How Well Can You Measure?
- Exploring Circles
- Exploring Circumference
- Applying Circumference
- 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
- Estimating Areas
- Exploring the Area of a Circle
- Relating Area to Circumference
- Applying Area of Circles
C Let’s Put It to Work · 2 lessons
Lessons
- 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.