Unit Plan
Texas Education Agency

Texas Gateway: Circular Motion & Gravitation: Rotation Angle & Angular Velocity

For Students 11th - 12th
By the end of this section, you will be able to define arc length, rotation angle, radius of curvature, and angular velocity; and to calculate the angular velocity of a car wheel spin.
eBook
CK-12 Foundation

Ck 12: Interactive Geometry: 8.9 Arc Length

For Students 9th - 10th Standards
Recall that a portion of a circle is called an arc. One way to measure an arc is with degrees.
Handout
CK-12 Foundation

Ck 12: Geometry: Circles: Segments and Lengths Study Guide

For Students 9th - 10th Standards
This study guide on circles covers some vocabulary and theorems about segments and lengths. It is available for download with free registration.
Activity
Lawrence Hall of Science

The Math Page: Trigonometry: Radian Measure

For Students 9th - 10th Standards
Here is a site that clearly and thoroughly explains the radian measure of angles. There are example problems solved, problems for the student to attempt, and answers to the student problems.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Tf.1 What Exactly Is a Radian?

For Teachers 9th - 10th Standards
For this task, students use a piece of string or another tool to measure the radius of the circle and then mark off the corresponding arc length on the unit circle as many times as they need to for 0, 1, 2, 3, 4, 5, and 6 radians. They...
Activity
Texas Instruments

Texas Instruments: Math Today Coming Clean About Showering Time

For Teachers 9th - 10th
In this activity using the USA TODAY Snapshot, "Coming clean about showering time," students will find the measures of central angles and arcs of a circle. They will use circumference, radius, concentric circles and degrees in a circle...
Unit Plan
Khan Academy

Khan Academy: Challenge Problems: Inscribed Shapes

For Students 9th - 10th Standards
Solve three challenging problems that apply properties of inscribed shapes to find an arc length or a missing angle.
Activity
Lawrence Hall of Science

The Math Page: Trigonometry

For Students 9th - 10th Standards
Concepts in Trigonometry are explained and illustrated here by a member of the math department at Borough of Manhattan Community College.

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