Unit Plan
Math Medics

S.o.s. Math: Inverse Functions

For Students 9th - 10th Standards
This tutorial contains four lessons on inverse functions (on five pages) including an introduction, inverse functions with no domain restriction, composition of functions, and inverse functions with domain restriction. Includes practice...
Unit Plan
Khan Academy

Khan Academy: Verifying Inverse Functions by Composition

For Students 9th - 10th Standards
Learn how to verify whether two functions are inverses by their composition. Students are given examples and practice problems.
Unit Plan
Purple Math

Purplemath: Composition of Functions: Composing With Sets of Points

For Students 9th - 10th
An in-depth lesson that explains the notation and terminology of function composition, and demonstrates how to use composition. Successive pages look at composing functions at points, composing functions with functions, word problems...
Handout
Math Open Reference

Math Open Reference: Function

For Students 9th - 10th Standards
A complete reference guide to functions including how to use functions, inverse functions, graphing a function, and functions in computer programming. It provides definitions and examples that enhance further explanation.
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Khan Academy

Khan Academy: Verify Inverse Functions

For Students 9th - 10th Standards
Given the formulas of two functions, compose the functions and determine whether they are inverses of each other.
Activity
Math Medics

S.o.s. Math: Inverse Functions, No Domain Restrictions

For Students 9th - 10th Standards
A good lesson explaining the inverse function and its domain. The lesson has two examples the student can examine.
Activity
Purple Math

Purplemath: Inverse Functions: Definition of "Inverse" / Drawing the Inverse

For Students 9th - 10th Standards
Explains the concept of inverse functions, covers some typical exercises, and demonstrates how to find the inverse of a given function.
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...
Unit Plan
Khan Academy

Khan Academy: Intro to Inverse Trig Functions

For Students 9th - 10th Standards
Learn about arcsine, arccosine, and arctangent, and how they can be used to solve for a missing angle in right triangles.
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.
Unit Plan
Khan Academy

Khan Academy: Laws of Sines and Cosines Review

For Students 9th - 10th Standards
Review the law of sines and the law of cosines, and use them to solve problems with any triangle.
Unit Plan
Concord Consortium

Concord Consortium: Inverses of Functions

For Students 9th - 10th Standards
Learn how to graph the inverse of a series of discrete and continuous. Also learn how to determine whether the inverse of a function is also a function.
Unit Plan
Paul Dawkins

Paul's Online Notes: Inverse Functions Practice Problems

For Students 9th - 10th Standards
n this section we will define an inverse function and the notation used for inverse functions. We will also discuss the process for finding an inverse function.
Handout
Math Open Reference

Math Open Reference: Trigonometry Functions Introduction

For Students 9th - 10th Standards
A complete reference guide to trigonometry functions. It provides definitions, examples, and an interactive activity that enhances further explanation. Includes links to related topics.
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Other

Mecca: Review for Trigonometric Functions

For Students 9th - 10th Standards
A page of review problems on trigonometric functions. Answers are supplied.
Handout
University College London

University College London: Inverse Hyperbolic Functions

For Students 9th - 10th Standards
This site has links to information and examples on the inverse hyperbolic functions.
Activity
Richland Community College

Richland Community College: Logarithmic Functions

For Students 9th - 10th Standards
This site from Richland Community College includes basic definition, properties, and graph of the logarithmic function.
Handout
University of Guelph

University of Guelph: Trigonometry Tutorial

For Students 9th - 10th Standards
A guide to calculating trigonometric functions.
Lesson Plan
Alabama Learning Exchange

Alex: "Woody Sine"

For Teachers 9th - 10th
The students will discover the shape of the sine function without creating a t-chart. The students will create a sine function using toothpicks. The students will then discover how the amplitude (height) and the period (number of compete...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Srt Finding the Area of an Equilateral Triangle

For Teachers 9th - 10th Standards
This task examines how to calculate the area of an equilateral triangle two ways: using triangle congruence and using trigonometric ratios. Aligns with G-CO.C.10 and G-SRT.C.
Unit Plan
Oswego City School District

Regents Exam Prep Center: Unit Circle

For Students 9th - 10th Standards
Two hands-on lab activities for instructors to use when teaching about the coordinate graphs of the sine, cosine, and tangent functions derived from a unit circle. The graphs of the reciprocals of the three functions are investigated....
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Bf Latitude

For Teachers 9th - 10th Standards
For this task, students are presented with data about latitude and the percentage of the Earth's surface north of each latitude line. They are to use this data to sketch a graph, analyze it, and build an understanding of an invertible...
Activity
Windstream

Ojk's Pre Calculus Study Page: The Four Other Trig Functions

For Students 9th - 10th Standards
Trigonometry ratios and their signs are given in this explanation of the other trig functions. Graphs of tangent, cotangent, secant, and cosecant are given. Examples are included.
Activity
University of Illinois

University of Illinois: Quadratic Formula

For Students 9th - 10th
This site from the University of Illinois offers an excellent simulation of the quadratic formula, where you can type in different values for a, b, and c, and then view the change in the answer for x.