HSF-BF.B.4

Find inverse functions.

 
41 Lesson(s)
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Finding the Inverse of a Function Day 1 of 2

12th Grade Math » Unit: Functions and Piecewise Functions
12th Grade Math » Unit: Functions and Piecewise Functions
Katharine Sparks
Independence, MO
Environment: Suburban
 
Big Idea:

By reading and discussing a mathematical text, a process for finding inverses will be uncovered.

 
Favorites (6)
 
Resources (29)
 
Reflections (3)
inverse function graph resized
   

Which Came First the Chicken or the Egg? Inverse Functions

Algebra I » Unit: Thinking Like a Mathematician: Modeling with Functions
Algebra I » Unit: Thinking Like a Mathematician: Modeling with Functions
Jason Colombino
Salem, MA
Environment: Urban
 
Big Idea:

Students construct their own understanding of inverse functions through an exploratory function sort!

 
Favorites (9)
 
Resources (34)
 
Reflections (4)
chicken and egg resized
   

What Does "a" Do?

Algebra I » Unit: Quadratic Functions
Algebra I » Unit: Quadratic Functions
James Dunseith
Worcester, MA
Environment: Urban
 
Big Idea:

Starting with today's assignment, my classroom becomes a workshop. Every student will learn as much as they can between now and the end of the unit.

 
Favorites (3)
 
Resources (17)
u6 l15 sw colored parabolas see origin
   

Inverse Trig Functions - Day 1 of 2

12th Grade Math » Unit: Trigonometric Functions
12th Grade Math » Unit: Trigonometric Functions
Tim  Marley
Troy, MI
Environment: Suburban
 
Big Idea:

Use a graphical perspective to establish inverse trig functions.

 
Favorites (3)
 
Resources (12)
 
Reflections (1)
untitled
   

Review Day

12th Grade Math » Unit: Basic Functions and Equations
12th Grade Math » Unit: Basic Functions and Equations
Tiffany Dawdy
Phoenix, AZ
Environment: Urban
 
Big Idea:

This lesson, driven by a 3-2-1 assessment, helps students to review past learning and continue to make new connections.

 
Favorites (3)
 
Resources (14)
3 2 1
   

FInal Discussion - "Demystifying e" PLUS Skills Practice with Logarithms

Algebra II » Unit: Exponential and Logarithmic Functions
Algebra II » Unit: Exponential and Logarithmic Functions
Jarod Hammel
Huntington, IN
Environment: Suburban
 
Big Idea:

This lesson builds on the “concept level” understanding that the students have obtained on “e” and extends that knowledge to skills practice and the natural logarithm function. It also focuses on mathematics specific readings strategies.

 
Resources (14)
 
Reflections (1)
e
   

Compositions, Inverses & Role Play: Extending Concepts to Exponential Functions

Algebra II » Unit: Exponential and Logarithmic Functions
Algebra II » Unit: Exponential and Logarithmic Functions
Jarod Hammel
Huntington, IN
Environment: Suburban
 
Big Idea:

This lesson welcomes the students back from spring break with a transition to inverse functions. The element of “role play” helps to set the stage for the foundation of logarithms

 
Resources (13)
 
Reflections (1)
lesson backdrop
   

Inundated with Inverses: Algebraic Inverse and Composition to Verify (Day 2 of 2)

12th Grade Math » Unit: Basic Functions and Equations
12th Grade Math » Unit: Basic Functions and Equations
Tiffany Dawdy
Phoenix, AZ
Environment: Urban
 
Big Idea:

Students build on intuitive process of finding inverses to develop an algebraic process then explore how composition of functions relates to inverses.

 
Resources (18)
alternative algebraic inverse image
   

Test Review

12th Grade Math » Unit: Basic Functions and Equations
12th Grade Math » Unit: Basic Functions and Equations
Tiffany Dawdy
Phoenix, AZ
Environment: Urban
   

Inverse Functions

Algebra II » Unit: Modeling with Functions
Algebra II » Unit: Modeling with Functions
Amelia Jamison
Caldwell, ID
Environment: Rural
 
Big Idea:

Extend beyond the skill of finding an inverse function to understanding their purpose through real life scenarios.

 
Favorites (1)
 
Resources (24)
 
Reflections (1)
image inverse functions
   

Unit Review Game: Trashball

12th Grade Math » Unit: Functioning with Functions
12th Grade Math » Unit: Functioning with Functions
Tim  Marley
Troy, MI
Environment: Suburban
 
Big Idea:

Use Trashball to review the important concepts of this unit.

 
Favorites (1)
 
Resources (7)
 
Reflections (1)
untitled
   

Functioning with Functions: Unit Assessment

12th Grade Math » Unit: Functioning with Functions
12th Grade Math » Unit: Functioning with Functions
Tim  Marley
Troy, MI
Environment: Suburban
 
Big Idea:

Assess students' understanding of functions.

 
Resources (7)
 
Reflections (1)
images
   

Where are the Functions Farthest Apart? - The Sequel

12th Grade Math » Unit: Functioning with Functions
12th Grade Math » Unit: Functioning with Functions
Tim  Marley
Troy, MI
Environment: Suburban
 
Big Idea:

Inverses, combinations of functions, and maximization are all essential to solve a problem about horizontal distance on a graph.

 
Favorites (1)
 
Resources (11)
 
Reflections (1)
untitled
   

Thinking Distance, Braking Distance and Stopping Distance Functions

12th Grade Math » Unit: Radical Functions
12th Grade Math » Unit: Radical Functions
Hilary Yamtich
Oakland, CA
Environment: Urban
 
Big Idea:

Ahhh! How long will it take for this car to stop? Using technology students find a best-fit function. This leads students to discover a real world application of an inverse function.

 
Favorites (2)
 
Resources (13)
car stopping

Solve an equation of the form f(x) = c for a simple function f that has an inverse and write an expression for the inverse. For example, f(x) =2 x3 or f(x) = (x+1)/(x–1) for x ≠ 1.

(+) Verify by composition that one function is the inverse of another.

(+) Read values of an inverse function from a graph or a table, given that the function has an inverse.

(+) Produce an invertible function from a non-invertible function by restricting the domain.

Common Core Math
 
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