### Clarifications

*Clarification 1:*Instruction includes the exploration and analysis of circular objects to examine the proportional relationship between circumference and diameter and arrive at an approximation of pi (π) as the constant of proportionality.

*Clarification 2:* Solutions may be represented in terms of pi (π) or approximately.

**Subject Area:**Mathematics (B.E.S.T.)

**Grade:**7

**Strand:**Geometric Reasoning

**Date Adopted or Revised:**08/20

**Status:**State Board Approved

## Related Courses

## Related Access Points

## Related Resources

## Formative Assessments

## Lesson Plan

## Original Student Tutorials

## Perspectives Video: Expert

## Perspectives Video: Professional/Enthusiasts

## Perspectives Video: Teaching Ideas

## Tutorials

## MFAS Formative Assessments

Students are asked to write the formula for the circumference of a circle, explain what each symbol represents, and label the variables on a diagram.

Students are asked to solve a problem involving the circumference of a circle.

Students are asked to explain the relationship between the circumference and diameter of a circle in terms of pi.

## Original Student Tutorials Mathematics - Grades 6-8

Explore the origins of Pi as the ratio of Circumference to diameter of a circle. In this interactive tutorial you'll work with the circumference formula to determine the circumference of a circle and work backwards to determine the diameter and radius of a circle.

Learn to solve problems involving the circumference and area of circle-shaped pools in this interactive tutorial.

## Student Resources

## Original Student Tutorials

Explore the origins of Pi as the ratio of Circumference to diameter of a circle. In this interactive tutorial you'll work with the circumference formula to determine the circumference of a circle and work backwards to determine the diameter and radius of a circle.

Type: Original Student Tutorial

Learn to solve problems involving the circumference and area of circle-shaped pools in this interactive tutorial.

Type: Original Student Tutorial

## Perspectives Video: Expert

A math teacher describes the relationship between area and circumference and gives examples in nature.

Type: Perspectives Video: Expert

## Tutorials

This video shows how the area and circumference relate to each other and how changing the radius of a circle affects the area and circumference.

Type: Tutorial

In this video, students are shown the parts of a circle and how the radius, diameter, circumference and Pi relate to each other.

Type: Tutorial

This video shows how to find the circumference, the distance around a circle, given the area.

Type: Tutorial

## Parent Resources

## Perspectives Video: Expert

A math teacher describes the relationship between area and circumference and gives examples in nature.

Type: Perspectives Video: Expert