MA19.7A.36

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

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).

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
Finding This Percent of That
Introducing Graphs of Proportions
ALSDE LOGO

This site may contain links to other websites or content belonging to or originating from third parties or links to websites and features in banners or other advertising. Such external links are not investigated, monitored, or checked for accuracy, adequacy, validity, reliability, availability, or completeness by us. WE DO NOT WARRANT, ENDORSE, GUARANTEE, OR ASSUME RESPONSIBILITY FOR THE ACCURACY OR RELIABILITY OF ANY INFORMATION OFFERED BY THIRD-PARTY WEBSITES LINKED THROUGH THIS SITE.
Alabama Learning Exchange © 2002-2023 by Alabama State Department of Education is licensed under Attribution-NonCommercial-ShareAlike 4.0 International

Design by Adaptive Theme