Unit Plan
CK-12 Foundation

Ck 12: Algebra: Pythagorean Theorem and Its Converse

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] Determine if three side lengths make a right triangle, and given the length of its legs, find the length of a right triangle's hypotenuse.
Interactive
Discovery Education

Discovery Education: Web Math: Calculate a Right Triangle

For Students 9th - 10th
WebMath offers a java applet that allows you to input information about a right triangle, and then solves the triangle for any of the missing pieces of information. It also gives a detailed solution using the information that you provided.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Solving Equations Using the Pythagorean Theorem

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] Use the Pythagorean Theorem to find a right triangle's missing side lengths.
Activity
Other

Personal Site: Sine and Cosine Do "The Wave"

For Students 9th - 10th
This personal site provides a great animation of how the sine and cosine waves are formed. It connects the unit circle with the sine and cosine graph.
Activity
Interactive Mathematics

Interactive Mathematics: The Right Triangle and Applications

For Students 9th - 10th Standards
Learn how to "solve" a right triangle and apply the concept to real world situations using angles of elevation and depression.
Activity
Other

Brown Math: Distributive Laws and Mistakes

For Students 9th - 10th
Why is it legal to factor 2x+2y as 2(x+y), but not x sauared +y squared as (x+y)squared? This site there are the distributive laws are separated from the distributive "mistakes," in an easy-to-understand discussion. Logarithms and trig...
Whiteboard
ClassFlow

Class Flow: Basic Right Triangle Trigonometry

For Teachers 9th - 10th Standards
[Free Registration/Login Required] This flipchart shows the basic relationships between trig functions and the sides and angles of a right triangle.
Handout
University of Manchester

Umist: Mathematical Formula Tables

For Students 9th - 10th
This site has links to tables of mathematical formulas. To view them, the student must download the formulas in pdf format.
Activity
Math2

Math2.org: Table of Integrals

For Students 9th - 10th
Seven tables are provided which give the rules for integrating powers of x, exponential and logarithmic integrals, trigonometric integrals, and hyperbolic integrals. Very detailed step-by-step proofs are given for some of the more...
Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Sine, Cosine, and Tangent Functions

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Calculate sine, cosine, and tangent functions using the sides of a right triangle.
Unit Plan
CK-12 Foundation

Ck 12: Geometry: Sine, Cosine, Tangent

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] This concept teaches students to find the sine, cosine, and tangent of right triangles.
Unit Plan
CK-12 Foundation

Ck 12: Geometry: Sine, Cosine, Tangent

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] Find the sine, cosine, and tangent of right triangles.
Activity
Texas Instruments

Texas Instruments: Basic Trigonometry Love or Leave It!!

For Teachers 9th - 10th
This activity has the teacher to create 3 triangles on Cabri Jr. on the TI-83 or TI-84. It will prove to students how trigonometry ratios are found. It will show to the students where the ratios are derived rather than just telling the...
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: F Tf Calculations With Sine and Cosine

For Teachers 9th - 10th Standards
The goal of this task is to study some values of sin x and cos x for different angles, and to look for and then explain patterns that are seen. Aligns with HSF-TF.C.8.
Activity
Windstream

Ojk's Precalculus Study Page: Evaluating and Graphing Sine and Cosine

For Students 9th - 10th Standards
An introduction to graphing the sine and cosine functions by using the 30-60-90 and 45-45-90 right triangle values of the two functions as guides.
Activity
Math2

Math2.org: Proofs of Derivatives of Hyperbolics

For Students 9th - 10th
This site has proofs of derivatives of hyperbolic functions using various rules which may be viewed by clicking on the colored links.
Activity
Windstream

Ojk's Precalculus Study Page: Translations of Sine and Cosine Curves

For Students 9th - 10th
This study tutorial covers more advanced graphing of sine and cosine functions, including horizontal and vertical translations (phase shifts and vertical shifts). Includes several examples and graphs.
Handout
Windstream

Ojk's Precalculus Study Page: Geometric Representation of Complex Numbers

For Students 9th - 10th Standards
An introduction to viewing the complex plane in terms of polar coordinates. Assumes knowledge of the conversion formulas. Includes several examples and pictures.
Interactive
Walter Fendt

Walter Fendt: First and Second Derivative of a Function

For Students 9th - 10th
A short interactive activity to visualize the first and second derivative of a function of your choice.
Activity
Windstream

Ojk's Precalculus Study Page: The Law of Sines

For Students 9th - 10th Standards
An introduction to solving acute and obtuse triangles by using the law of sines, including a derivation of the formula. Includes several pictures and examples.
Primary
Windstream

Ojk's Precalculus Study Page: Powers of Complex Numbers

For Students 9th - 10th Standards
An introduction to DeMoivre's Theorem for quickly finding the powers of complex numbers. Assumes knowledge of polar form of complex numbers. Includes several examples and pictures.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Straightedge 7 [Pdf]

For Students 9th - 10th
The practice problem uses a straightedge and a figure to approximate the solution of each equation. The figure is available in PDF format.

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