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: 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...
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...
PPT
Sophia Learning

Sophia: Two Lines Tangent to a Circle: Lesson 3

For Students 9th - 10th
This lesson will present how if two segments from the same point outside a circle are tangent to a circle, then they are congruent. It is 3 of 5 in the series titled "Two Lines Tangent to a Circle."
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
Texas Instruments

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

For Teachers 9th - 10th Standards
In this activity, students will investigate properties of angles and arcs formed when chords, secants, and tangents intersect and intercept arcs in a circle. They discover several important theorems concerning circles and arc sizes. They...
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.
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.c Inscribing a Circle in a Triangle I

For Teachers 9th - 10th Standards
The goal of this task is to show how to draw a circle which is tangent to all three sides of a given triangle: that is, the circle touches each side of the triangle in a single point. Aligns with G-C.A.3.
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.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Conic Sections

For Students 9th - 10th Standards
Hotmath provides 26 practice problems relating to conic sections. Each of the practice problems include a step-by-step guide for solving their conic.
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
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.
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.
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...
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, students can derive the sine and cosine of special angles. Aligns with HSF-TF.A.3.
Handout
Other

Dans Math: Lessons: Trigonometry

For Students 9th - 10th
College professor Dan Bach reviews basic trig concepts, including trig functions, right triangles, circles, radians, and polar coordinates. Site includes animated graphs and detailed examples.
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.
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.
Handout
Oswego City School District

Regents Exam Prep Center: Formulas for Angles in Circles

For Students 9th - 10th Standards
Formulas and illustrations show the different kinds of angles created by intersecting tangents, secants, radii, and in combination.
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.
Graphic
Math2

Math2.org: Trigonometry Tables

For Students 9th - 10th Standards
Three trig tables are provided for student and teacher reference. The first table lists the sine, cosine, tangent, secant, cosecant, and cotangent values of all whole-number angles from 0 to 90. The radian equivalent (to four decimals)...