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.
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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