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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...
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Activity
Cengage Learning

Cengage: Inverse Trigonometric Functions [Pdf]

For Students 9th - 10th Standards
This site provides a presentation on inverse trigonometric functions. In the presentation students will learn to evaluate and graph the inverse sine function, other inverse trigonometric functions and the composition of trigonometric...
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: One to One Functions and Their Inverses

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] Definition and exploration of 1 to 1 functions and their inverses
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Website
eFunda

Efunda: Trigonometric Functions

For Students 9th - 10th Standards
Site reviews trigonometric functions and inverse trigonometric functions. Formulas and graphs for both groups of functions are also shared.
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Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Horizontal Line Test 3 [Pdf]

For Students 9th - 10th Standards
The example explores the horizontal line test and inverse functions. The handout is available in PDF format.
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Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Horizontal Line Test 4 [Pdf]

For Students 9th - 10th Standards
The example explores the horizontal line test and inverse functions. The handout is available in PDF format.
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eBook
CK-12 Foundation

Ck 12: 3.4 Graphs of Logs as the Inverse of Exponential Functions

For Students 9th - 10th Standards
This lesson explores the statement that the log functions are identified as the inverse of exponential functions. These functions will be compared visually through the graphs of both the logarithmic and exponential functions.
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Unit Plan
Lawrence Hall of Science

The Math Page: Topics in Precalculus: Logarithmic and Exponential Functions

For Students 9th - 10th Standards
Clearly and thoroughly explains the graphs of logarithmic and exponential functions. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site out to students who have...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F if Your Father

For Teachers 9th - 10th Standards
This is a simple task which has students analyze functions where they assign a father to each student. It addresses the idea that not all functions have real numbers as domain and range values, and the issue of when a function admits an...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Bf Temperature Conversions

For Teachers 9th - 10th Standards
In this task involving temperature conversions, students compose and solve functions. Unit conversion problems provide a rich source of examples for the composition of functions and for inverses. Aligns with F-BF.A.1.c and F-BF.B.4.a.
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Activity
Richland Community College

Richland Community College: Math 116 Lecture Notes

For Students 9th - 10th Standards
This site from the Richland Community College provides the detailed lecture notes to a college algebra course, complete with equations and definitions. Content ranges from "functions and their graphs" to "conics and parametric equations."
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Activity
Other

Universite De Nice Sophia Antipolis: Graphic Inverse

For Students 9th - 10th Standards
An introduction to the graphic inverse with many examples the student can work on-line.
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Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Horizontal Line Test 1 [Pdf]

For Students 9th - 10th Standards
Learners use the horizontal line test to determine if a function is one-to-one. The problem consists of an enlarged printable version of a graph available in PDF format.
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Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Horizontal Line Test 2 [Pdf]

For Students 9th - 10th Standards
Learners use the horizontal line test to determine if a function is one-to-one. The problem consists of an enlarged printable version of a graph available in PDF format.
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Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Horizontal Line Test 5 [Pdf]

For Students 9th - 10th Standards
The handout examines whether the function is one-to-one by using the horizontal line test. The graph is available in PDF format.
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Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Horizontal Line Test 6 [Pdf]

For Students 9th - 10th Standards
The handout examines whether the function is one-to-one by using the horizontal line test. The graph is available in PDF format.
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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....
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Activity
Wolfram Research

Wolfram Math World: Inverse Tangent

For Students 9th - 10th Standards
This site is all about inverse tangents. The site includes a definition, color graphs, formulas, and many links to related terms.
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Activity
Wolfram Research

Wolfram Math World: Inverse Sine

For Students 9th - 10th Standards
This is a math site on the inverse of sine. Includes charts, color graphs, formulas including the Maclaurin series, as well as links to math terms and subject areas used within the site.
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Handout
Wolfram Research

Wolfram Mathworld: Inverse Hyperbolic Tangent

For Students 9th - 10th
This site displays a graph of the inverse Hyperbolic Tangent, gives the algebraic formula for both the real and the complex systems, special values related to the hyperbolic tangent function, and the Maclaurin Series for this function.
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Activity
Wolfram Research

Wolfram Math World: Inverse Cosine

For Students 9th - 10th Standards
A site that deals with inverse cosine. Article includes the definition, formulas including the Maclaurin series for the inverse cosine function, and examples, as well as numerous links to related terms.
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Unit Plan
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Funciones Inversa

For Students 9th - 10th Standards
In Spanish. In this interactive unit learn how to recognize a function from a graph, determine graphically and analytically the domain and the range and find the inverse of a function.
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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.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F if the Parking Lot

For Teachers 9th - 10th Standards
In this task about parking lot rates, students investigate what a function is and explain their reasoning. Aligns with F-IF.A.1.