Unit Plan
Oswego City School District

Regents Exam Prep Center: Arc Length and Radian Measure

For Students 9th - 10th Standards
The mathematics session investigates arc length and radian measure. The tutorial consists of class notes, calculator tips, examples, and practice problems with solutions. The teacher resource includes an activity that discovers radian...
Activity
Texas Instruments

Texas Instruments: Arc Length and Area of Sectors

For Teachers 9th - 10th Standards
This is an introduction to finding the arc length and area of sectors of circles. Students should have the formulas for Circumference and Area of circles.
Handout
Paul Dawkins

Paul's Online Notes: Calculus Ii: Applications of Integrals

For Students 9th - 10th
The resource examines applications of integration. Topics investigated are arc length, surface area, center of mass, hydrostatic pressure, and probability density functions. Class notes, definitions, and examples with detailed solutions...
Handout
University of St. Andrews (UK)

University of St. Andrews: Elliptic Functions

For Students 9th - 10th
Good site with many of the elliptic functions given.
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.
Graphic
Math2

Math2: Circles

For Students 9th - 10th Standards
This site has many useful formulas and examples relating to circles, including related definitions, circumference of a circle, area of a circle, length of a circular arc, area of a circular sector, equation of a circle in cartesian...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G C Orbiting Satellite

For Teachers 9th - 10th Standards
A satellite is orbiting the Earth at a given height and students are asked to find the distance it travels to complete 70 percent of an orbit. This task provides a context for connecting an angle in radians to the arc length intercepted...
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.
Unit Plan
Sophia Learning

Sophia: Components of Circular Motion

For Students 9th - 10th
A video lesson that introduces the components of circular motion. Understand that any objects that rotates around a point is in circular motion. Video also explores how to measure how far an object has rotated. Video gives equation for...
Handout
Johan Claeys

Math Abundance: The Circle: Basic Concepts

For Students 9th - 10th Standards
Goes over the equation of a circle, parametric equations of a circle, intersection of circle and line, tangent line in a point of a circle, etc.
Interactive
Mangahigh

Mangahigh: Shape: Circumference of a Circle

For Students 9th - 10th Standards
Determine the circumference of a circle or simple arc lengths.
Activity
Texas Instruments

Texas Instruments: Applications of Integrals

For Teachers 9th - 10th
Use the TI-89 to find the area between curves, find arc length, and solve first and second order differential equations. Examples in the activity use calculator screenprints and keystroke instructions to demonstrate the use of the...
Unit Plan
Cuemath

Cuemath: Circles

For Students 3rd - 8th Standards
Explore everything about circles. Learn various parts of a circle like a diameter, radius, circumference, circles chord, tangent circles, major arc, segment, sector, and discover other interesting aspects of it. Try your hand at solving...
Activity
University of Georgia

University of Georgia: Segment and Arc Length

For Students 9th - 10th
This site gives a short explanation about the segment and arc length
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Arc Length [Pdf]

For Students 9th - 10th
The problem investigates arc length. The practice exercise has students label and interpret graphs. The handout is available in PDF format.
Handout
Other

University of Winnipeg: The Simple Pendulum

For Students 9th - 10th
The periodic motion of a pendulum is described with words and equations; little conceptual emphasis. Sample problems with solutions are provided.
Activity
University of Saskatchewan (Canada)

Finding Arc Length and Central Angle Exercises

For Students 9th - 10th Standards
This site provides two geometry problems involving circles. One problem has the reader find the arc length given the angle and radius, the other problem has the reader find the measure of the angle given the arc length and radius....
Activity
Interactive Mathematics

Interactive Mathematics: Applications of Radian Measure

For Students 9th - 10th Standards
After demonstrating how to find arc length and sector area using radian measures, student can practice the concepts with the examples provided and play an interactive game involving angular velocity.
Graphic
Curated OER

Math Words: Arc Measurements

For Students 9th - 10th
This site offers the formula and an example of finding the length of an arc. The site also supplies a picture of what an arc is in a circle with links to related words.
Graphic
Curated OER

Math Words: Arc Measurements

For Students 9th - 10th
This site offers the formula and an example of finding the length of an arc. The site also supplies a picture of what an arc is in a circle with links to related words.
Graphic
Curated OER

Math Words: Arc Measurements

For Students 9th - 10th
This site offers the formula and an example of finding the length of an arc. The site also supplies a picture of what an arc is in a circle with links to related words.
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...

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