Inverse Function Teacher Resources

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Unit Plan
Cuemath

Cuemath: Reciprocal Function

For Students 9th - 10th Standards
Explore the world of reciprocal functions in this mini-lesson. Discusses a definition its domain and range, graphing of the reciprocal function, solved examples on reciprocal functions, and interactive questions.
Unit Plan
Math Is Fun

Math Is Fun: Working With Exponents and Logarithms

For Students 9th - 10th Standards
Clearly presented explanation of how logarithms and exponents work together, the properties of logarithms, the natural logarithm and the natural exponential functions, the common logarithm, changing the base, and real-world applications...
Instructional Video
Sophia Learning

Sophia: Inverse Sine

For Students 9th - 10th
This video tutorial introduces and provides examples of the inverse sine function. The lesson demonstrates how to use the inverse sine ratio to solve for an unknown angle in a right triangle.
Unknown Type
Khan Academy

Khan Academy: Trigonometry: Evaluate Inverse Trig Functions

For Students 9th - 10th Standards
Given a sine, cosine, or tangent value, find the principle angle that has this value. In other words, find the arcsine, arccosine, or arctangent of that value. Students receive immediate feedback and have the opportunity to try questions...
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Inverse Trigonometric Functions

For Students 9th - 10th Standards
Sixteen problems present a variety of practice working with inverse trigonometric functions. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View...
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...
Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Familia De Funciones. Tipos Y Operaciones

For Students 9th - 10th Standards
In this unit you will work interactively with family of lines, parabolas, radical functions and trigonometric functions. You will also learn about operations with function, composition of functions and the inverse of a function.
Activity
Other

Karl's Calculus Tutor: Derivative of Inv. Trig Functions

For Students 9th - 10th Standards
This site provides a general overview of the derivative of inverse trig trunctions. Content includes a proof, exercises, and more.
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.
Instructional Video
Khan Academy

Khan Academy: Determining Whether a Transformation Is Onto

For Students 9th - 10th Standards
Shows how to determine if a linear transformation is onto by showing that the columns of the transformation matrix span the co-domain.
Unknown Type
Khan Academy

Khan Academy: Solve Sinusoidal Equations (Basic)

For Students 9th - 10th
Solve equations of the form sin(x)=d or cos(x)=d where d is any number. 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: Algebra: Composition of Functions

For Students 11th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson describes and demonstrates composition of functions. Students examine guided notes, review guided practice, watch instructional videos and attempt...
Activity
Math Medics

S.o.s. Math: Logarithms and Exponential Functions

For Students 9th - 10th Standards
This tutorial contains 13 lessons on logarithms and exponential functions including exponential shortcuts and rules, graphs and rules of logarithms, and many more.
Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Familia De Funciones

For Students 9th - 10th Standards
Ministerio de Educacion y Ciencia: familia de funciones
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Fractional Exponents

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] This lesson introduces rational exponents and how to relate them to nth roots.
Lesson Plan
Other

Nearpod: Relationship of Exponents & Logarithms

For Teachers 9th - 10th Standards
In this instructional activity, young scholars will learn how exponents and logarithms are connected and how to evaluate logarithms.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Factorization of Quadratic Expressions

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] Factor quadratic expressions in which the coefficients a, b, and/or c are negative.
Unit Plan
CK-12 Foundation

Ck 12: Composition of Inverse Reciprocal Trig Functions

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] On this site students learn about the composition of inverse trigonometric functions. Students read about inverse reciprocal functions, watch a video about the topic...
Instructional Video
Other

Using Function Composition to Verify Two Functions Are Inverses

For Students 9th - 10th Standards
This video from college professor Daniel Kopsas examines how to verify by composition that two functions are inverses of each other. [4:08]
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Functions and Inverses

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson covers how to find the inverse of a function. Students examine guided notes, review guided practice and attempt practice problems.
PPT
Other

Humble Isd: Determine if 2 Functions Are Inverses by Compositions [Pdf]

For Students 9th - 10th Standards
This slideshow explains how to verify by composition that two functions are inverses of each other.
Handout
Wolfram Research

Wolfram Math World: Inverse Hyperbolic Functions

For Students 9th - 10th Standards
This site defines the six fundamental hyperbolic fucntions and contains related links. Also provides graphs and pictures for further understanding.
Handout
Purple Math

Purplemath: Proving That Two Functions Are Inverses of Each Other

For Students 9th - 10th Standards
This resource explains how to verify that two functions are inverses of each other.
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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