MA19.7.20

Mathematics (2019) Grade(s): 7

MA19.7.20
Explain the relationships among circumference, diameter, area, and radius of a circle to demonstrate understanding of formulas for the area and circumference of a circle.

Unpacked Content

Knowledge

Students know:

that the ratio of the circumference of a circle and its diameter is always π.
The formulas for area and circumference of a circle.

Skills

Students are able to:

use the formula for area of a circle to solve problems.
Use the formula(s) for circumference of a circle to solve problems.
Give an informal derivation of the relationship between the circumference and area of a circle.

Understanding

Students understand that:

area is the number of square units needed to cover a two-dimensional figure.
Circumference is the number of linear units needed to surround a circle.
The circumference of a circle is related to its diameter (and also its radius).

Vocabulary

Diameter
Radius
Circle
Area
Circumference
π

Aligned Learning Resources

Circumference StudyJam

Square-Wheeled Tricycle: Radius and Circumference

Distance Difference

Classroom Connection: Division and Unit Fractions

Collecting Data | The Electric Company Math Activities

Comparing Equations | Rise and Shine: Math Time

Finding This Percent of That

Introducing Graphs of Proportions

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