Wyoming Math 7.G.4a
The Standard
Investigate the concept of circles. Demonstrate an understanding of the proportional relationships between diameter, radius, and circumference of a circle.
2023 Wyoming Mathematics Content and Performance Standards · Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students measure around and across circles, then compare circumference with diameter. They use the radius to find the diameter and the diameter to estimate circumference.
What Mastery Looks Like
- A student can find a circle's radius, diameter, or circumference when given one measurement. They can explain why doubling the diameter doubles the circumference and why circumference divided by diameter stays near 3.14.
Common Misconceptions
- Students may measure from the edge to the center and call it the diameter. They may multiply the radius by 3.14, rather than the diameter, to find circumference.
How to Assess It
- Exit ticket: A round lid has a 10 cm diameter. Find its radius and approximate circumference, then state what happens to its circumference if the diameter doubles.
Lesson moves
Ways to Teach It
Wrap string around three lids, measure each string and lid diameter with a ruler, then divide each circumference by its diameter.
Have students sketch two circles and write why tripling a circle's radius triples the distance around it.
Give pairs cards with radii, diameters, and circumferences; have them match measurements for the same circle using 3.14.
Mark a bicycle tire with tape, roll it one full turn, measure the distance traveled, and compare it with 3.14 times its diameter.
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Printable 7.G.4a Worksheet
A ready-to-print activity worksheet aligned to 7.G.4a, with an answer key for the teacher on its own page. No account needed.
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