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- HSF-BF.B.3Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.
- HSF-BF.B.4Find inverse functions.
- HSF-BF.B.5(+) Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.

Finding the Inverse of a Function Day 1 of 2

12th Grade Math

» Unit:

Functions and Piecewise Functions

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

Katharine Sparks

Suburban Env.

29 Resources

8 Favorites

29 Resources

8 Favorites

Which Came First the Chicken or the Egg? Inverse Functions

Algebra I

» Unit:

Thinking Like a Mathematician: Modeling with Functions

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

Jason Colombino

Urban Env.

34 Resources

11 Favorites

34 Resources

11 Favorites

What Does "a" Do?

Algebra I

» Unit:

Quadratic Functions

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.

James Dunseith

Urban Env.

17 Resources

3 Favorites

17 Resources

3 Favorites

Inverse Trig Functions - Day 1 of 2

12th Grade Math

» Unit:

Trigonometric Functions

Big Idea:Use a graphical perspective to establish inverse trig functions.

Tim Marley

Suburban Env.

12 Resources

4 Favorites

12 Resources

4 Favorites

Review Day

12th Grade Math

» Unit:

Basic Functions and Equations

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

Tiffany Dawdy

Urban Env.

14 Resources

3 Favorites

14 Resources

3 Favorites

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

Algebra II

» Unit:

Exponential and Logarithmic Functions

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.

Jarod Hammel

Suburban Env.

14 Resources

1 Favorite

14 Resources

1 Favorite

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

Algebra II

» Unit:

Exponential and Logarithmic Functions

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

Jarod Hammel

Suburban Env.

13 Resources

13 Resources

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

12th Grade Math

» Unit:

Basic Functions and Equations

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

Tiffany Dawdy

Urban Env.

18 Resources

1 Favorite

18 Resources

1 Favorite

Test Review

12th Grade Math

» Unit:

Basic Functions and Equations

Big Idea:Students work together to review for the upcoming test.

Tiffany Dawdy

Urban Env.

3 Resources

3 Resources

Algebra II Jeopardy

Algebra II

» Unit:

Games

Big Idea:Play Jeopardy to fill those odd days before break or during homecoming week with meaningful mathematical activities like this Jeopardy game.

Merrie Rampy

Rural Env.

8 Resources

11 Favorites

8 Resources

11 Favorites

Inverse Functions

Algebra II

» Unit:

Modeling with Functions

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

Amelia Jamison

Rural Env.

24 Resources

1 Favorite

24 Resources

1 Favorite

Unit Review Game: Trashball

12th Grade Math

» Unit:

Functioning with Functions

Big Idea:Use Trashball to review the important concepts of this unit.

Tim Marley

Suburban Env.

7 Resources

1 Favorite

7 Resources

1 Favorite

Operations with Rational Expressions

Algebra II

» Unit:

Rational and Inverse Functions

Big Idea:Operations with rational expressions are just like operations with fractions.

Colleen Werner

Suburban Env.

17 Resources

3 Favorites

17 Resources

3 Favorites

Functioning with Functions: Unit Assessment

12th Grade Math

» Unit:

Functioning with Functions

Big Idea:Assess students' understanding of functions.

Tim Marley

Suburban Env.

7 Resources

7 Resources

Where are the Functions Farthest Apart? - The Sequel

12th Grade Math

» Unit:

Functioning with Functions

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

Tim Marley

Suburban Env.

11 Resources

1 Favorite

11 Resources

1 Favorite

HSF-BF.B.4a

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 x^{3} or f(x) = (x+1)/(x–1) for x ≠ 1.

HSF-BF.B.4b

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

HSF-BF.B.4c

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

HSF-BF.B.4d

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