Handout
CK-12 Foundation

Ck 12: Geometry: Properties of a Circle Study Guide

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] This study guide reviews the terminology for circles (tangent, arcs, central angles) and the equation for a circle.
Unit Plan
CK-12 Foundation

Ck 12: Geometry: Angles on and Inside a Circle Intermediate

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] This concept teaches students how to find angles on and inside a circle created by chords and tangent lines.
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...
Unit Plan
CK-12 Foundation

Ck 12: Exact Values for Inverse Sine, Cosine, and Tangent

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Find all angles on the unit circle matching exact trig ratios. Resource includes examples, videos, and practice problems.
Handout
Geometry Help

Geometry Help: Circles

For Students 9th - 10th Standards
Explains the basic concept of circles with step-by-step instructions and methods for solving specific problems on your own relating to this topic.
eBook
Math Planet

Math Planet: Geometry: Advanced Information About Circles

For Students 9th - 10th Standards
Provides advanced information about circles through the use of examples and a brief video lesson. [1:00]
Unknown Type
Mr. Martini's Classroom

Mr. Martini's Classroom: Circles Geometry Review

For Students 3rd - 8th Standards
This resource provides two levels of multiple choice questions to review the parts of a circle as well as area and perimeter.
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...
Unit Plan
CK-12 Foundation

Ck 12: Geometry: Angles on and Inside a Circle

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] Solve problems containing angles on or inside a circle.
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.
Unit Plan
Texas Education Agency

Texas Gateway: Making Conjectures About Circles and Segments

For Students 9th - 10th
Given examples of circles and the lines that intersect them, the student will use explorations and concrete models to formulate and test conjectures about the properties and relationships among the resulting segments.
Activity
CK-12 Foundation

Ck 12: Segments From Secants and Tangents

For Students 9th - 10th
[Free Registration/Login Required] Students will adjust points to explore secants and tangents of circles. Click learn more to watch a video and click challenge me to answer a practice question.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G C, G Co Tangent Lines and the Radius of a Circle

For Teachers 9th - 10th Standards
In this task, students are shown a circle with center O and point P on the circle. L is a line that is a tangent to the circle at P. They must show that line OP is perpendicular to line L. Aligns with G-C.A.2, G-CO.A, and G-CO.C.9.
Unit Plan
Oswego City School District

Regents Exam Prep Center: Unit Circle

For Students 9th - 10th Standards
Two hands-on lab activities for instructors to use when teaching about the coordinate graphs of the sine, cosine, and tangent functions derived from a unit circle. The graphs of the reciprocals of the three functions are investigated....
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Srt Tangent Line to Two Circles

For Teachers 9th - 10th Standards
The purpose of this task is to use similar triangles and setting up a proportion in order to calculate a side length. Aligns with G-SRT.B.5.
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.
Lesson Plan
Texas Instruments

Texas Instruments: Segments Formed by Intersecting Chords, Secants, and Tangents

For Teachers 9th - 10th Standards
This activity is designed to help students discover several important theorems concerning lengths of segments formed by intersecting chords, secants, and tangents.
Lesson Plan
Texas Instruments

Texas Instruments: Chords, Secants, and Tangents

For Teachers 9th - 10th Standards
Students construct chords, secants, and tangents. From those constructions, they develop a deeper understanding of the terms, as well as explore certain properties of the constructions.
Handout
Math Open Reference

Math Open Reference: Tangent

For Students 9th - 10th Standards
Learn about tangents with this handy reference guide. Provides detailed definitions, examples, and an interactive activity that enhances further explanation. Includes links to related topics.
Activity
Math Open Reference

Math Open Reference: Circles

For Students 9th - 10th Standards
A complete reference guide to circles including parts, angles, and arcs. It provides definitions and interactive activities that enhance further explanation.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Tf Equilateral Triangles and Trigonometric Functions

For Teachers 9th - 10th Standards
The purpose of this task is to apply knowledge about triangles to calculate the sine and cosine of 30 and 60 degrees. Aligns with HSF-TF.A.3.
Interactive
University of Colorado

University of Colorado: Ph Et Interactive Simulations: Trig Tour

For Students 9th - 10th Standards
Take a tour of trigonometry using degrees or radians! Look for patterns in the values and on the graph when you change the value of theta. Compare the graphs of sine, cosine, and tangent.
Activity
Analyze Math

Analyze Math: Unit Circle and Trigonometric Functions

For Students 9th - 10th Standards
The free mathematics tutorial explores the unit circle and trigonometric functions. The tutorial consists of definitions and examples with solutions. The interactive applet allows students to investigate domain, range, and asymptotes of...
Activity
University of Vienna (Austria)

The Graphs of Sin, Cos, and Tan Maths Online

For Students 9th - 10th
This applet allows the user to create the graphs of sin, cos, and tan by moving a scroll bar. The user can watch the unit circle and the graph simultaneously to see how the two are related. The user may also choose to see the angle...

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