Explaining Area and Circumference of a Circle

Know the formulas for the area and circumference of a circle and solve problems; give an informal derivation of the relationship between the circumference and area of a circle.

Target skill

Prerequisite
or related skill

Direct path

Indirect path

Hint: Use your mouse's scroll wheel to zoom in and out, and hover over a node to learn more about it.

Resources for this Map

Learning Map Information: An overview of the standards, the learning map section, and the nodes addressed in this unit.
Teacher Notes: A brief discussion describing the progression depicted in the learning map section document with research-based recommendations for focusing instruction to foster student learning and an introduction to the unit’s lessons.
Lesson 1: In this lesson, students will develop an understanding of diameter, radius, circumference, and pi and the relationships among them, and will solve problems using the circumference formula.
Lesson 2: In this lesson, students will develop a formula for the area of a circle using what they know about the radius and circumference of a circle, as well as what they know about the area of a parallelogram.
Student Activity & Solution Guide – Lessons 1 & 2: A work-alone activity combining content covered in Lessons 1 and 2. A solution guide for the work-alone activity with example errors, misconceptions, and links to the learning map section is provided.

7.G.4 Explaining Area & Circumference of a Circle