Unit Plan
Vision Learning

Visionlearning: Wave Mathematics: Trigonometric Functions

For Students 9th - 10th Standards
Learn how to use trigonometric functions to study waves.
Interactive
Government of Alberta

Learn Alberta: Exploring Similarity and Congruence

For Students 6th - 8th Standards
Begin by watching this captivating video showing how the concepts of similarity and congruence are found in road signs. Following the video [1:27], an interactive applet allows students to resize, flip, move and rotate triangles to...
Activity
Curated OER

Education in Physics and Mathematics: Wave Parts

For Students 9th - 10th
A physics site, it describes aspects of waves, like the sine wave The explaination is good and it illustrates the connection between mathematics and physics.
Handout
Georgia State University

Georgia State University: Hyper Physics: Wave Motion

For Students 9th - 10th
Two wave graphs depicting a sine wave and relating the various characteristics (wavelength, amplitude, frequency, and period) of a wave to each other. The site includes an interactive JavaScript form in which the visitor enters one...
Activity
Windstream

Ojk's Precalculus Study Page: Area of a Triangle

For Students 9th - 10th Standards
An introduction to finding the area of a triangle using the sine function. Includes several pictures and examples.
Activity
Windstream

Ojk's Precalculus Study Page: Double and Half Angle Formulas

For Students 9th - 10th Standards
This tutorial introduces the double-angle and half-angle formulas for sine, cosine, and tangent, and gives sample application and proof exercises. Assumes knowledge of the sum and difference formulas.
Handout
Wolfram Research

Wolfram Math World: Periodic Function

For Students 9th - 10th Standards
This site gives a brief definition of a periodic function with related links, a visual example of the sine function with it's period specified. Also with this link you will find the period of a constant function.
Activity
Texas Instruments

Texas Instruments: Ac Circuit Analysis

For Teachers 9th - 10th
This electrical engineering activity uses a TI graphing calculator to analyze AC circuits including sine waves, capacitance and inductive reactance, solving series AC circuits, and RMS calculations.
Activity
Texas Instruments

Texas Instruments: Investigating the Derivatives of Some Common Functions

For Teachers 9th - 10th
In this activity, students will investigate the derivatives of sine, cosine, natural log, and natural exponential functions by examining the symmetric difference quotient at many points. They develop the idea of the derivative as a...
Interactive
University of Colorado

University of Colorado: Ph Et Interactive Simulations: Wave Interference

For Students 9th - 10th
Conduct virtual experiments with water, sound, and light waves to determine the sine wave and patterns created in each.
Handout
Northeast Parallel Architectures Center, Syracuse University

Npac Reu Program: Often Used Values

For Students 9th - 10th
Northeast Parallel Architectures Center of Syracuse University provides a quick reference chart of the exact values of the sine, cosine, and tangent functions for the most common angle measrements in the first quadrant. Includes both...
Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Topic Summaries: Trigonometric Functions

For Students 9th - 10th Standards
The topic summary outlines trigonometric functions. Some topics reviewed are derivatives of trigonometric functions, sine function, trigonometric identities, and indefinite integrals of trigonometric functions. The resource consists of...
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.
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: Sum and Difference Formulas

For Students 9th - 10th Standards
Twenty problems are presented for practice working with sum and difference formulas for sine, cosine, and tangent.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Srt, G Mg Seven Circles Iii

For Teachers 9th - 10th Standards
In this task, students are shown circle formations where an inner circle is surrounded by a set of circles and all circles are touching. In the first situation, all circles have the same diameter. In the second, the inner circle is...
Unknown Type
Khan Academy

Khan Academy: Trigonometric Ratios in Right Triangles

For Students 9th - 10th Standards
Given the side lengths of a right triangle, find the sine, cosine, or tangent of one of the acute angles. 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 Defining Trigonometric Ratios

For Teachers 9th - 10th Standards
The purpose of this task is to use the notion of similarity to define the sine and cosine of an acute angle. Aligns with G-SRT.C.6.
Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Cosine Sum and Difference Formulas

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Examples, videos, and practice problems covering cosine of a sum or difference related to a set of cosine and sine functions. Here you'll learn to rewrite cosine...
Unit Plan
Khan Academy

Khan Academy: Trigonometric Ratios in Right Triangles

For Students 9th - 10th Standards
Learn how to find the sine, cosine, and tangent of angles in right triangles.
Activity
Interactive Mathematics

Interactive Mathematics: Derivatives Sin, Cos, & Tan Function

For Students 9th - 10th
Several formulas are given for taking the derivatives of trigonometry functions. Several examples are presented to demonstrate the process of finding these derivatives. The examples allow the user to practice before seeing the solution.
Activity
University of Vienna (Austria)

Univ of Vienna: Trigonometric Functions

For Students 9th - 10th
An interactive tool to discover how the trig functions came to be. Applets are used in this interactive learning tool. Examples exercises are also given.
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...
Activity
University of Saskatchewan (Canada)

University of Saskatchewan: Trigonometric Functions

For Students 9th - 10th Standards
This site examines the six trigonometric functions from a right triangle point of view. Provides information, examples, and lots of exercises for understanding.

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