Wyoming Math 7.G.4c
The Standard
Investigate the concept of circles. Given the formulas for circumference and area of circles, solve real-world and mathematical problems.
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 circles and relate the radius, diameter, and circumference. With the formulas provided, they calculate circumference or area to answer questions about circular objects.
What Mastery Looks Like
- A student can find the radius from a given diameter and choose the right formula for a border or a covered surface. They calculate accurately and use linear units for circumference and square units for area.
Common Misconceptions
- Students may use the diameter instead of the radius in the area formula or confuse circumference with area. They may label area in centimeters instead of square centimeters or think doubling the radius only doubles the area.
How to Assess It
- Exit ticket: A circular garden has a diameter of 10 meters. Using 3.14 for pi, find the fencing needed and the planting area, with units.
Lesson moves
Ways to Teach It
Wrap string around a paper plate, measure the string and the plate's diameter, then divide to estimate pi.
Ask students to write which formula they would use to buy edging and mulch for a circular garden, and why.
Give pairs circle cards labeled with diameters of 4 cm or 10 cm and answer cards to match with each circumference and area.
Compare a $12 pizza with a 12-inch diameter and an $18 pizza with a 16-inch diameter by finding square inches per dollar.
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Printable 7.G.4c Worksheet
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