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.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Straightedge 8 [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.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Fitting Models to Scatter Plots 5 [Pdf]

For Students 9th - 10th Standards
Students evaluate a scatter plot to determine the relationship between two variables. The scatter plot is available in PDF format.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Fitting Models to Scatter Plots 6 [Pdf]

For Students 9th - 10th Standards
Students evaluate a scatter plot to determine the relationship between two variables. The scatter plot is available in PDF format.
Handout
Johan Claeys

Math Abundance: Trigonometry: The Sine Function

For Students 9th - 10th Standards
Definition of a sine function. Range and period also are given. Graph of sine function given as well.
Unit Plan
Khan Academy

Khan Academy: Period of Sinusoidal Functions From Graph

For Students 9th - 10th Standards
Given the graph of a sinusoidal function, determine its period. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Unit Plan
CK-12 Foundation

Ck 12: Inverse of Functions Through Algebraic Manipulation

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Here you'll learn how to find the inverse of functions through algebraic manipulation.
Unknown Type
Khan Academy

Khan Academy: Amplitude of Sinusoidal Functions From Graph

For Students 10th
Given the graph of a sinusoidal function, determine its amplitude.
Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Half Angle Formulas

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] Using identities to derive more half angle formulas.
Handout
University College London

University College London: Introduction to Hyperbolic Functions

For Students 9th - 10th Standards
This is a brief introduction to hyperbolic functions. Contains a definition only, no graphics.
Activity
Math Medics

S.o.s. Math: Product and Sum Formulas

For Students 9th - 10th Standards
This math lesson lists the product and sum formulas, and gives detailed example of using them to solve algebraic trigonometry problems.
Activity
eFunda

E Funda: Multiple Angle

For Students 9th - 10th Standards
At this site from eFunda you can scroll to the middle of the page for a listing of multiple angle formulas for cos, sin, and tan.
Activity
Other

Charles Sturt University: Mathematics

For Students 9th - 10th
The Univerisity of Charles Sturt provides math help in various areas including trigonometry. Site includes copies of past exams with solutions.
Activity
Wolfram Research

Wolfram Math World: Trigonometry

For Students 9th - 10th Standards
This site provides a good definition of trigonometry. Includes many links to key terms and many more to related terms. This site may be used as a refresher for students who have finished the course, or students currently studying the...
Unit Plan
Khan Academy

Khan Academy: Midline of Sinusoidal Functions From Graph

For Students 9th - 10th
Given the graph of a sinusoidal function, determine its midline equation. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Rectangular to Polar Conversions

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] This lesson introduces Polar coordinates.

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