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 young scholars 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...
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...
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...
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.
Website
Pennsylvania State University

Acoustics and Vibration Animations: Demonstrations: The Simple Pendulum

For Students 9th - 10th
A series of graphics, downloadable animations and text describe and explain the motion of a pendulum. Some sections require an understanding of calculus.
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.
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.
Handout
Texas Education Agency

Texas Gateway: Ap Physics: Uniform Circular Motion and Gravitation: Glossary

For Students 11th - 12th
This is a glossary of terms and definitions used in Chapter 6: Uniform Circular Motion and Gravitation from the AP Physics online text.
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.
Unit Plan
OpenStax

Open Stax: Rotation Angle and Angular Velocity

For Students 9th - 10th
In the following interactive students will begin to define arc length, rotation angle, radius of curvature and angular velocity. They will also calculate the angular velocity of a car wheel spin.
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.

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