Activity
Illustrative Mathematics

Satellite

For Teachers 9th - 11th Standards
Learners practice relating rules of trigonometry and properties of circles. With a few simplifying assumptions such as a perfectly round earth, young mathematicians calculate the lengths of various paths between satellite and...
Lesson Plan
Illustrative Mathematics

Two Wheels and a Belt

For Teachers 9th - 10th Standards
Geometry gets an engineering treatment in an exercise involving a belt wrapped around two wheels of different dimensions. Along with the wheels, this belt problem connects concepts of right triangles, tangent lines, arc length, and...
Activity
101 Questions

Suitcase Circle

For Teachers 9th - 12th Standards
Analyze patterns in a circular arrangement. After using a geometric construction to complete a circle, learners use proportional reasoning to make predictions. By determining the length of an arc built from suitcases, they estimate the...
Activity
101 Questions

Rotonda West, FL

For Teachers 9th - 12th Standards
The shortest distance from point A to point B is a straight line—or is it? Young scholars determine the shortest route either along a circular path or through the center of the circle. Learners gain a unique perspective on arc length and...
Lesson Plan
Illustrative Mathematics

Designs

For Teachers 6th - 8th Standards
A resource that makes for excellent group work as students explore the area and perimeter of different complex designs made up of squares and circles. The commentary gives a clear definition of perimeter, but suggests that group members...
Activity
Math Words

Math Words: Arc Measurements

For Students 9th - 10th Standards
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.
Activity
Mathematics Archives

Math Archives: Visual Calculus: Arc Length

For Students 9th - 10th
This site explains the arc length. The site has links to related topics and examples.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Applications of Integrals

For Students 9th - 10th
Hotmath provides 24 practice problems dealing with integral applications. Each of the practice problems include a step-by-step guide for solving their application.
Activity
Analyze Math

Analyze Math: Sectors and Circles Problems

For Students 9th - 10th Standards
Try these three problems regarding area of sectors, length of arcs, and central angles. The problems will challenge and intrigue sharp geometry students. Detailed written solutions are included.
Activity
Lawrence Hall of Science

The Math Page: Trigonometry: Arc Length

For Students 9th - 10th Standards
Here is a site that clearly and thoroughly explains arc length and its relationship to radian measure of angles. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site...
Activity
University of Georgia

University of Georgia: Arcs, Central Angles, Arc Length & Sector Area

For Teachers 9th - 10th Standards
This site provides practice problems for calculating central angles and calculating arc length.
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.
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.
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...
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
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.
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...
Activity
University of Maryland

Thinking Problems in Oscillations and Waves: Pendulum

For Students 9th - 10th
A series of thought-intensive, multichoice questions concerning pendulums and provided for by the University of Maryland. A downloadable software program on pendulums is also included.
Activity
University of Cambridge

University of Cambridge: Maths and Sports: Track Design

For Students 9th - 10th
You are designing and marking out the running track for a new Olympic stadium. Where should the staggered starting positions be marked for the 200m and 400m events? This activity is aimed at Key Stage 4 students (age 14-16).
Activity
Other

Old Dominion University: Calculus Animations W Mathcad

For Students 9th - 10th
Explanations and animations of limits, slopes, derivatives, arc length, infinite series, conic sections, cycloids, parametric curves, polar curves, quadric surfaces, and more.
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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