Unit Plan
CK-12 Foundation

Ck 12: Geometry: Exterior Angles Theorems

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] In this lesson students apply the Exterior Angles Theorems. Students examine guided notes, review guided practice, watch instructional videos and attempt practice...
Interactive
National Council of Teachers of Mathematics

Nctm: Illuminations: Angle Sums

For Students 9th - 10th
Students may use this computer applet to explore angle sums of triangle, quadrilaterals, pentagons and hexagons.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Graphing Calculator Practice Problems: Point, Line, Planes, Angles

For Students 9th - 10th Standards
Practice using your graphing calculator for drawing and labeling points, lines, planes, and angles. If you get stumped or if you would like to check your work, then select the View Solution button, which is located directly under each...
Handout
Geometry Help

Geometry Help: Intersecting Lines and Angles

For Students 9th - 10th Standards
Explains the basic concept of intersecting lines and angles with step-by-step instructions and methods for solving specific problems on your own relating to this topic.
Interactive
University of Colorado

University of Colorado: Ph Et Interactive Simulations: Vector Addition

For Students 9th - 10th Standards
Learn how to add vectors. Drag vectors onto a graph, change their length and angle, and sum them together. The magnitude, angle, and components of each vector can be displayed in several formats.
Interactive
University of Colorado

University of Colorado: Ph Et Interactive Simulations: Vector Addition

For Students 9th - 10th Standards
Learn how to add vectors. Drag vectors onto a graph, change their length and angle, and sum them together. The magnitude, angle, and components of each vector can be displayed in several formats.
Unit Plan
Khan Academy

Khan Academy: Equation Practice With Angle Addition

For Students 7th - 8th Standards
Given the sum of a pair of angles and the algebraic expressions that represent them, form and solve an equation. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Srt Sine and Cosine of Complementary Angles

For Teachers 9th - 10th Standards
The goal of this task is to provide a geometric explanation for the relationship between the sine and cosine of acute angles. In addition, students will need to think about the sine and cosine as functions of an angle in order to reason...
Handout
University of Georgia

University of Georgia: Inter Math: Angle of Rotation

For Students 9th - 10th
This site gives a definition of angle of rotation and provides some examples. There is also an interactive activity in which a JavaSketchPad page is provided for you to explore rotations. In addition, be sure to follow the links to...
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Illustrative Mathematics

Illustrative Mathematics: 4.md,g Measuring Angles

For Teachers 3rd - 5th Standards
The purpose of this task is to gain experience drawing and measuring angles, developing an understanding of the additive structure of angles. Aligns with 4.MD.C.7.
Activity
Math Is Fun

Math Is Fun: Angles on a Straight Line

For Students 3rd - 8th Standards
This very basic website gives a clear, simple explanation of the sum of angles on a straight line that when put together form a straight angle.
Activity
AAA Math

Aaa Math: Finding the Third Angle of a Triangle

For Students 9th - 10th Standards
Finding the third angle of a triangle becomes easier by the explanation and examples presented.
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Khan Academy

Khan Academy: Find Trig Values Using Angle Addition Identities

For Students 9th - 10th Standards
Find the trigonometric values of various angles that (while they are not special angles) can be expressed as the sum or difference of special angles. Students receive immediate feedback and have the opportunity to try questions...
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Khan Academy

Khan Academy: Using the Trig Angle Addition Identities

For Students 9th - 10th Standards
Find the trig values of sums of angles whose individual trig values are known. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
eBook
Physics Classroom

The Physics Classroom: Vectors: Forces in Two Dimensions: Addition of Forces

For Students 9th - 10th
In this tutorial, examine the effect of forces acting at angles to the horizontal, such that the force has an influence in two dimensions- horizontally and vertically.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Algebra Review: Angle Sum Theorem

For Students 9th - 10th
Find a quick, concise explanation of the Angle Sum Theorem. A step by step explanation of the proof is included to help you understand the theorem.
Lesson Plan
OER Commons

Oer Commons: Exploring Polygons

For Teachers 6th - 8th
In this instructional activity, middle schoolers explore different polygons by drawing them, measuring angles, and manipulating interactive sketches to find the angle sum for any polygon. Students also explore the angle measures in...
Handout
Wolfram Research

Wolfram Math World: Trigonometric Addition Formulas

For Students 9th - 10th Standards
This tutorial offers formulas and explanations on trigonometric addition formulas and features an easy way to remember the sine and cosine addition formulas using matrices.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Tf Sum and Difference Angle Formulas

For Teachers 9th - 10th Standards
The goal of this task is to have students derive the addition and subtraction formulas for cosine and tangent, and the subtraction formula for cosine, from the sum formula for sine. Aligns with F-TF.C.9.
Unit Plan
University of California

Geometry Junkyard

For Students 9th - 10th Standards
An interesting junkyard of geometry findings where people are free to add their own findings and sift through others' interesting additions.
Interactive
CK-12 Foundation

Ck 12 Exploration Series: Simulations: Physics: Driverless Car

For Students 9th - 10th
[Free Registration/Login Required] Learn about adding two vectors together by components in the context of a GPS-style city map. Adjust magnitude and angles in the two vectors to simulate the driverless car. Examples taking this concept...
Lesson Plan
TeachEngineering

Teach Engineering: Handheld Trigonometry

For Teachers 9th - 10th Standards
In addition to understanding the concept of similar right triangles and how they apply to trigonometric ratios, learners explore a clinometer app, and discover how it can be used to test the mathematics underpinning trigonometry.
Activity
Northeast Parallel Architectures Center, Syracuse University

Npac Reu Program: Trigonometry Review

For Students 9th - 10th
The Northeast Parallel Architectures Center, Syracuse University, provides a review and tutorial site on trigonometry. The information is in-depth and can be accessed by clicking on the various links in the outline.
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McGraw Hill

Glencoe: Self Check Quizzes 2 Triangles

For Students 6th - 8th
Use Glencoe's Math Course 2 randomly generated self-checking quiz to test your knowledge of a variety of triangle topics. Each question has a "Hint" link to help. Choose the correct answer for each problem. At the bottom of the page...

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