Unit 5, Lesson 13
Applying Circumference
Accelerated 6
Preparation
Lesson Narrative
In this lesson, students apply the relationships between diameter, radius, and circumference to solve problems in a variety of contexts. Students develop flexibility with using the relationships rather than memorizing a variety of formulas. Understanding the equation will help with the transition to the study of area in future lessons.
Next, students solve problems about distances of paths composed of multiple circles or parts of circles and other shapes. They think strategically about how to decompose and recompose complex shapes (MP1) and need to choose an appropriate level of precision for and for their final calculations (MP6).
The last activity is optional because it provides an additional opportunity to apply circumference to solve a problem that requires composing and decomposing parts of circles.
- Compare and contrast (orally) values for the same measurements that were calculated using different approximations for $\pi$.
- Explain (orally) how to calculate the radius, diameter, or circumference of a circle, given one of these three measurements.
Let’s use to solve problems.
Required Materials
Activity 2
Required Preparation
For the Are You Ready for More? activity, acquire devices that can run the applet.
For the Are You Ready for More? activity, acquire devices that can run the applet.