Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G C Two Wheels and a Belt

For Teachers 9th - 10th
A certain machine is to contain two wheels, one of radius 3 centimeters and one of radius 5 centimeters, whose centers are attached to points 14 centimeters apart. The manufacturer of this machine needs to produce a belt that will fit...
Handout
Geometry Help

Geometry Help: Tangent Lines

For Students 9th - 10th Standards
Explains the basic concept of congruent triangles with step-by-step instructions and methods for solving specific problems on your own relating to this topic.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Tf Special Triangles 1

For Teachers 9th - 10th Standards
Using known facts about the unit circle and isosceles triangles together with the Pythagorean Theorem, students can derive the sine and cosine of special angles. Aligns with HSF-TF.A.3.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Tf Special Triangles 2

For Teachers 9th - 10th Standards
Using known facts about the unit circle and isosceles triangles together with the Pythagorean Theorem, young scholars can derive the sine and cosine of special angles. Aligns with HSF-TF.A.3.
Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: La Circunferencia

For Students 9th - 10th
In Spanish. This interactive unit could be used as a visual review of circles, circumference and tangents.
Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Tangencias

For Students 9th - 10th Standards
In Spanish. This interactive unit introduces various geometric concepts which are intended to be tools for solving problems of tangencies between straight lines, circles and points.
Unknown Type
Khan Academy

Khan Academy: Algebra Ii: Trig Values of Special Angles

For Students 9th - 10th Standards
Find the sine and cosine of special angles, which are angles whose trig values we can determine without the use of a calculator. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or...
Handout
Math Is Fun

Math Is Fun: Introduction to Trigonometry

For Students 9th - 10th Standards
Students are introduced to concepts taught in trigonometry. The tutorial consists of notes and examples.
Whiteboard
ClassFlow

Class Flow: Circles Geometry

For Teachers 6th - 8th Standards
[Free Registration/Login Required] Students identify segments and lines related to circles and the properties of a tangent to a circle.
Activity
CK-12 Foundation

Ck 12: Tangent Lines

For Students 9th - 10th
[Free Registration/Login Required] Students can adjust the size of the circle to explore the tangent lines. Click learn more to watch a video and click challenge me to answer a practice question.
Handout
University of Regina (Canada)

Univeristy of Regina: Math Central: Tangent Lines and Circle Equations

For Students 9th - 10th Standards
This site offers a problem and solution to finding all possible slopes for a line tangent to a circle given a particular equation of a circle. Could be an interesting challenge for students.
eBook
CK-12 Foundation

Ck 12: Algebra Ii: 4.8 Pythagorean Identities

For Students 9th - 10th Standards
This section explores the Pythagorean Identity and how it applies to right triangles set inside unit circles, in terms of sine, cosine, and tangent functions.
Handout
Geometry Help

Geometry Help: Chords

For Students 9th - 10th Standards
Explains the basic concept of chords with step-by-step instructions and methods for solving specific problems on your own relating to this topic.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Srt Ask the Pilot

For Teachers 9th - 10th Standards
In the July 2013 issue of United Airlines' Hemisphere Magazine, a pilot responded to a question about how far in the distance he could see at different altitudes. The solution involved right triangles, lines of tangency to a circle, and...
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.
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...
Handout
Northeast Parallel Architectures Center, Syracuse University

Npac Reu Program: Trigonometric Functions

For Students 9th - 10th Standards
This Northeast Parallel Architectures Center of Syracuse University site offers a quick overview of the six trigonometric functions from the standpoint of the unit circle.
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.
Handout
Purple Math

Purplemath: Inverses of Trigonometric Ratios

For Students 9th - 10th Standards
You know that you can take side lengths and find trig ratios, and you know you can find trig ratios (in your calculator) for angles. What is missing is a way to go from the ratios back to the original angles. And that is what "inverse...
Handout
Math Open Reference

Math Open Reference: Secant

For Students 9th - 10th
Learn about secants with this handy reference guide. Provides a detailed definition and an interactive activity that enhances further explanation. Includes links to related topics.
Activity
Ministerio de Educacion, Cultura y Deporte (Spain)

Cnice: Relacion De Ejercicios Interactivos.

For Students 9th - 10th
In Spanish. Interactive activities online on various geometric and trigonometric concepts such as area, perimeter, secants, tangents, etc. A terrific resource for students. Site is organized acoording to shape. (triangle, quadrilaterals,...
Interactive
Calculator Soup

Calculator Soup: Trigonometric Functions Calculator

For Students 9th - 10th Standards
This online trigonometry calculator will calculate the sine, cosine, tangent, cotangent, secant and cosecant of angle values entered in degrees or radians. The trigonometric functions are also known as the circular functions.
Interactive
Calculator Soup

Calculator Soup: Trigonometric Functions Calculator

For Students 9th - 10th Standards
This online trigonometry calculator will calculate the sine, cosine, tangent, cotangent, secant and cosecant of values. The trigonometric functions are also known as the circular functions.
Activity
Other

Trigonometry: A Quick Review

For Students 9th - 10th
This site is a personal site from David Eisenberg and it contains brief but great review information for trigonometry. This particular site focuses on sine and cosine inlcuding a small circle graph. Clicking on the index link provides...

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