Lesson Plan
OER Commons

Oer Commons: Measuring Circles

For Teachers 7th
Seventh graders will measure the circumference and diameter of round things in the classroom and discover the ratio pi. They will see that the ratio of a circle's circumference to its diameter can be used to solve for the circumference...
Unknown Type
Math Drills

Math Drills: Measurement Worksheets

For Students 9th - 10th Standards
Download these free worksheets to sharpen your measurement skills. Sheets focus on temperature, conversion, area and perimeter, volume, and more.
eBook
Mathigon

Mathigon: Geometry: Circle and Pi: Degrees and Radians

For Students 9th - 10th Standards
Rather than dividing a circle into some number of segments (like 360 degrees), mathematicians often prefer to measure angles using the circumference of a unit circle - a circle with radius 1. This way of measuring angles is called...
Unknown Type
Khan Academy

Khan Academy: Angles in Circles

For Students 4th Standards
Practice measuring angles using a circle protractor, solve problems about angles as part of a circle.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 7.g,rp Measuring the Area of a Circle

For Teachers 7th
In this lesson plan, 7th graders answer word problems to determine the area of a circle.
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: G Srt, G Mg Seven Circles Iii

For Teachers 9th - 10th Standards
In this task, students are shown circle formations where an inner circle is surrounded by a set of circles and all circles are touching. In the first situation, all circles have the same diameter. In the second, the inner circle is...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Srt, G Mg Coins in a Circular Pattern

For Teachers 9th - 10th Standards
In this task, students investigate how many coins will fit around a central coin when they are all of the same denomination, and if there is room left over. The teacher is given a chart of four coin denominations and their diameters, but...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Gpe, F Tf Coordinates of Points on a Circle

For Teachers 9th - 10th Standards
For this task, students are shown a unit circle in a plane and an angle measured from the x-axis. They must determine the coordinates of the line segment for the angle and answer a question about the sum of the coordinates. The purpose...
Website
Pennsylvania State University

Applied Physics: Vibrational Modes of a Circular Membrane (Drums)

For Students 9th - 10th
Site tracks the vibrations of a drum and provides an animated movie.
Activity
Clark University

Clark University: Dave's Short Trig Course: Trigonometric Functions

For Students 9th - 10th
The Clark University site shows and explains the graphs of the six trigonometric functions. It explains how to find an arbitrary angle measurement using trig. Also, it explains that sine and cosine functions are complementary.
Handout
Other

Drexel University: Archimedes

For Students 9th - 10th
An extensive site dedicated to the life and legacy of the Greek mathematician Archimedes. Content includes a timeline of Archimedes' life, an overview of several of his inventions, and numerous anecdotes isolating various moments in his...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Srt, G Mg How Far Is the Horizon?

For Teachers 9th - 10th Standards
Some friends are at the beach looking out onto the ocean on a clear day and they wonder how far away the horizon is. A second problem asks how far the horizon would be from the top of a mountain. Students must also answer a question...

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