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Paul Dawkins
Paul's Online Notes: Algebra: Circles
Detailed math tutorial features notes and examples that illustrate graphing circles.
CK-12 Foundation
Ck 12: Physics: Circular Motion Study Guide
This study guide on circular motion covers key terms, centripetal force, linear vs. circular motion, precession, and equations. Includes four example problems with detailed solutions. The guide is available for download with free...
OER Commons
Oer Commons: Measuring Circles
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...
Cuemath
Cuemath: Segment of a Circle
This lesson expands your knowledge about circles by learning about the segment of a circle, which will include its mathematical definition, area of the segment, types of segments in a circle, theorems based on a segment of a circle, and...
Cuemath
Cuemath: Chords of a Circle
A comprehensive guide for learning all about chords of a circle with definitions, chords of a circle theorems, intersecting chords theorem, congruent circles, diameter, solved examples, and practice questions.
Mathigon
Mathigon: Geometry: Circle and Pi: Degrees and Radians
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...
Mathigon
Mathigon: Geometry: Circle and Pi: Introduction
This lesson focuses on the characteristics of a circle including similarity, radius, circumference, and Pi. It provides formulas to determine the area of a circle, calculating Pi, and learning exercises throughout.
Khan Academy
Khan Academy: Angles in Circles
Practice measuring angles using a circle protractor, solve problems about angles as part of a circle.
Khan Academy
Khan Academy: Praxis Core Math: Circles Lesson
A basic review of circles and how to calculate the circumference, radius, diameter, and area. Includes practice questions.
Illustrative Mathematics
Illustrative Mathematics: G Co Seven Circles Ii
In this task, seven pennies are placed in a circle so that they are all touching one in the center and their neighbors. Students are asked to find as many rigid motions of the plane as they can which are symmetries of this configuration...
Illustrative Mathematics
Illustrative Mathematics: F Tf Trig Functions and the Unit Circle
The purpose of this task is to help students make the connection between the graphs of sin t and cos t and the x and y coordinates of points moving around the unit circle. Students have to match coordinates of points on the graph with...
Khan Academy
Khan Academy: Points Inside/outside/on a Circle
Given the center and radius of a circle, determine if a point is inside of the circle, on the circle, or outside of the circle.
Illustrative Mathematics
Illustrative Mathematics: 7.g the Circumference of a Circle and the Area
In this lesson plan, 7th graders determine the circumference and area of a circle.
Illustrative Mathematics
Illustrative Mathematics: 7.g Eight Circles
In this lesson plan, 7th graders use their knowledge of formulas to determine the area and circumference of a circle.
Illustrative Mathematics
Illustrative Mathematics: 7.g,rp Measuring the Area of a Circle
In this lesson plan, 7th graders answer word problems to determine the area of a circle.
CPALMS
Cpalms: Why Are Circles Similar?
[Free Registration/Login Required] A comprehensive lesson plan for teaching how to prove that all circles are similar by using three types of transformations.
Science Buddies
Science Buddies: Circumscribing a Circle About a Triangle
Here is a project that combines Computer Science and Mathematics. Prove a method for circumscribing a circle about a triangle (as shown). You'll also learn how to create an interactive diagram to illustrate your proof, using an applet...
Science Buddies
Science Buddies: Inscribing a Circle in a Triangle Using the Geometry Applet
Here is a project that combines Computer Science and Mathematics. Prove a method for inscribing a circle within a triangle (as shown). You'll also learn how to create an interactive diagram to illustrate your proof, using an applet that...
Science Buddies
Science Buddies: Thinking in (Semi )Circles: The Area of the Arbelos
The arbelos is the white-shaded region between the three semicircles in the illustration at right. In this project, you'll prove an interesting method for determining the area of the arbelos.
ReadWriteThink
Read Write Think: Circular Plot: Prediction Strategies in Reading and Writing
Contains plans for two lessons about circular stories like those of Laura Joffe Numeroff, who is known for the book "If You Give a Mouse a Cookie." Students read stories with circular plots as models before composing their own. In...
ReadWriteThink
Read Write Think: Venn Diagram, 3 Circles
A printable Venn Diagram with three circles to use when comparing and contrasting three things or topics. Directions on how to use this graphic organizer as well as lists of teaching ideas and related resources are also provided.
Mathigon
Mathigon: Geometry: Circle and Pi: Conic Sections
The circle is one of four different shapes which can be created using "slices" through a cone, a 3-dimensional solid that has a circular base joined to a single point (called the vertex) by a curved side. If you tilt a cone, you get an...
Federal Reserve Bank
Federal Reserve Bank of Atlanta: Circular Flow
Explains how resources, goods and services, and payments flow through the economy using the economic model of circular flow.
CK-12 Foundation
Ck 12: Algebra Ii: 4.2 Right Triangle Trig Extended to Circles With a Model
This section explores the relationship between right triangles, circles, and trigonometry. It investigates how a right triangle that is set inside a circle and rotates around the circle is connected to trigonometric functions and their...
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