Learning Resource Type

Classroom Resource

Concentric Circles

Subject Area

Mathematics

Grade(s)

7

Overview

In this video you’ll discover how using concentric circles can help you determine how much paint is needed to cover the deck of a carousel. Regents Review materials are designed to help high school students prepare for New York State's Regents exams.

    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

    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).
    Mathematics (2019) Grade(s): 7 - Grade 7 Accelerated

    MA19.7A.36

    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:MA19.7A.36

    Vocabulary

    • Diameter
    • Radius
    • Circle
    • Area
    • Circumference
    • π

    Knowledge

    Students know:
    • 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).
    Link to Resource

    CR Resource Type

    Audio/Video

    Resource Provider

    PBS
    Accessibility
    License

    License Type

    PD
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