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.
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
UP:MA19.7.20
Vocabulary
- Diameter
- Radius
- Circle
- Area
- Circumference
- π
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).
