ALEX Resources

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Lesson Plans (1) A detailed description of the instruction for teaching one or more concepts or skills. Learning Activities (1) Building blocks of a lesson plan that include before, during, and after strategies to actively engage students in learning a concept or skill. Classroom Resources (1)


ALEX Lesson Plans  
   View Standards     Standard(s): [MA2015] PRE (9-12) 24 :
24 ) (+) Understand the inverse relationship between exponents and logarithms, and use this relationship to solve problems involving logarithms and exponents. [F-BF5]

Subject: Mathematics (9 - 12)
Title: Logarithms: Undo the Exponential
Description:

In this lesson, students are asked to provide a written description of both an exponential function and its inverse. They are then introduced to the logarithmic function and will practice writing exponential functions as logarithms and logarithms as exponential functions. Students will evaluate logarithmic expressions and will solve logarithmic equations.

This lesson results from the ALEX Gap Resource Project.




ALEX Learning Activities  
   View Standards     Standard(s): [MA2015] PRE (9-12) 24 :
24 ) (+) Understand the inverse relationship between exponents and logarithms, and use this relationship to solve problems involving logarithms and exponents. [F-BF5]

Subject: Mathematics (9 - 12)
Title: Solving Exponential and Logarithmic Equations
Description:

This learning activity Solving Exponential and Logarithmic Equations will be used at the end of a lesson on understanding the inverse relationship between exponents and logarithms and using this relationship to solve problems involving logarithms and exponents.

This activity was created as a result of the ALEX Resource Development Summit.




ALEX Learning Activities: 1

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ALEX Classroom Resources  
   View Standards     Standard(s): [MA2015] AL2 (9-12) 35 :
35 ) Find inverse functions. [F-BF4]

a. 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. [F-BF4a]

Example: f(x) =2x3 or f(x) = (x+1)/(x-1) for x ≠ 1.

[MA2015] PRE (9-12) 21 :
21 ) (+) Verify by composition that one function is the inverse of another. [F-BF4b]

[MA2015] PRE (9-12) 22 :
22 ) (+) Read values of an inverse function from a graph or a table, given that the function has an inverse. [F-BF4c]

[MA2015] PRE (9-12) 23 :
23 ) (+) Produce an invertible function from a non-invertible function by restricting the domain. [F-BF4d]

[MA2015] PRE (9-12) 24 :
24 ) (+) Understand the inverse relationship between exponents and logarithms, and use this relationship to solve problems involving logarithms and exponents. [F-BF5]

[MA2015] ALT (9-12) 35 :
35 ) Find inverse functions. [F-BF4]

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. [F-BF4a]

Example f(x) = 2x3 or f(x) = (x+1)/(x-1) for x ≠ 1.

Subject: Mathematics (9 - 12)
Title: Precalculus and Advanced Topics, Module 3: Inverse Functions
URL: https://www.engageny.org/resource/precalculus-and-advanced-topics-module-3-topic-c-overview
Description:

In Module 3, Topic C students study inverse functions, being careful to understand when inverse functions do and do not exist, working to restrict the domain of a function to produce an invertible function. They compare and create different representations of functions including tables and graphs. Students compose functions to verify that one function is the inverse of another and work with tables of data to identify features of inverse functions. Special emphasis is given to the inverse relationship between exponential and logarithmic functions.

Note: This module is identified as Precalculus and Advanced Topics in the EngageNY curriculum. It also corresponds to the Algebra II and Algebra II with Trigonometry Alabama Courses of Study.



ALEX Classroom Resources: 1

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