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...
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.
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.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G C Mutually Tangent Circles

For Teachers 9th - 10th Standards
Three circles are mutually tangent. Students are asked to find the total area of the circles plus the area inside where they meet. Students will need to know how to calculate the area of a circle, a sector of a circle, and an equilateral...
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 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...
Interactive
Mangahigh

Mangahigh: Pyramid Panic: Basic Shapes to Advanced Geometry

For Students 9th - 10th Standards
Guide a mummy safely through the burial chambers of a pyramid as you solve length and area problems in basic to advanced geometry. There are four game zones that deal with circles and triangles, quadrilaterals, the Pythagorean Theorem,...
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.
Unit Plan
Khan Academy

Khan Academy: Challenge Problems: Circumscribing Shapes

For Students 9th - 10th Standards
Solve two challenging problems that apply properties of tangents to find the perimeter of a circumscribing shape.
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: 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.
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...
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
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...
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,...
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...
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.
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.
Interactive
Curated OER

Trig Function Point Definitions

For Students 9th - 10th Standards
A java applet that relates the unit circle to the graphs of the six trigonometric functions, complete with the values of the functions.
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.
Lesson Plan
Other

Ctte: Geometer's Sketch Pad Activities

For Teachers 9th - 10th
This site offers numerous activities for middle school and high school students to explore using Geometer's Sketch Pad.
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)...