HSF-BF.B.5

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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.

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## HSF-BF.B.5

## (+) Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.

35 Lesson(s)

### Exponentials and Logarithms: LOUD and CLEAR!

Algebra II »
Unit: Exponential and Logarithmic Functions

Algebra II »
Unit: Exponential and Logarithmic Functions

Big Idea:

#### This engaging lesson allows the students to apply logarithms to the real world! After finishing the study, students will think twice before playing their music too loud!

Standards:

Favorites
(4)

Resources
(22)

Reflections
(1)

### What Is A Log?

12th Grade Math »
Unit: Logarithmic Functions and Equations

12th Grade Math »
Unit: Logarithmic Functions and Equations

### Applying Log Rules

12th Grade Math »
Unit: Logarithmic Functions and Equations

12th Grade Math »
Unit: Logarithmic Functions and Equations

### Unit Review Game: The Row Game

12th Grade Math »
Unit: Exponential and Logarithmic Functions

12th Grade Math »
Unit: Exponential and Logarithmic Functions

Big Idea:

#### Get everyone involved and incorporate movement using The Row Game.

Standards:

Favorites
(10)

Resources
(6)

### How do we use Logarithms and Exponentials

12th Grade Math »
Unit: Exponential and Logarithmic functions

12th Grade Math »
Unit: Exponential and Logarithmic functions

### Discovering Log Rules (because logs rule!)

12th Grade Math »
Unit: Logarithmic Functions and Equations

12th Grade Math »
Unit: Logarithmic Functions and Equations

### Exponential Functions and Logarithms - Connecting the Dots

Algebra II »
Unit: Exponential and Logarithmic Functions

Algebra II »
Unit: Exponential and Logarithmic Functions

Big Idea:

#### This lesson builds nicely on the students’ knowledge of inverse functions and introduces them to the world of logarithms. Rather than trying to memorize mathematical notation, the students are guided through an in-depth study under the umbrella of exponen

Standards:

Favorites
(5)

Resources
(12)

Reflections
(1)

### Khan Academy on Evaluating Logarithms

8th Grade Math »
Unit: Gimme the Base: More with Exponents

8th Grade Math »
Unit: Gimme the Base: More with Exponents

Big Idea:

#### To understand exponents, we cask ask students to look at the inverse operation of the logarithm

Standards:

Favorites
(1)

Resources
(9)

Reflections
(1)

### Khan Academy on Evaluating Logarithms (Part 2)

8th Grade Math »
Unit: Gimme the Base: More with Exponents

8th Grade Math »
Unit: Gimme the Base: More with Exponents

Big Idea:

#### To understand exponents, we cask ask students to look at the inverse operation of the logarithm

Standards:

Resources
(7)

### Khan Academy on Operations with Logarithms

8th Grade Math »
Unit: Gimme the Base: More with Exponents

8th Grade Math »
Unit: Gimme the Base: More with Exponents

Big Idea:

#### The laws of logarithms are simply a reflection of the laws of exponents.

Standards:

Resources
(8)

### Puzzling Log Equations

12th Grade Math »
Unit: Logarithmic Functions and Equations

12th Grade Math »
Unit: Logarithmic Functions and Equations

Big Idea:

#### Students complete a puzzle in teams to build their skills of applying logarithm properties.

Standards:

Favorites
(11)

Resources
(19)

Reflections
(1)

### Logarithmic Properties Scavenger Hunt

12th Grade Math »
Unit: Exponential and Logarithmic Functions

12th Grade Math »
Unit: Exponential and Logarithmic Functions

Big Idea:

#### Get students moving and thinking about logarithmic properties.

Standards:

Favorites
(12)

Resources
(8)

### Solving Exponential Equations Using Logs

12th Grade Math »
Unit: Logarithmic Functions and Equations

12th Grade Math »
Unit: Logarithmic Functions and Equations

Big Idea:

#### Learning to use logs to solve exponential equations leads into discovery of the change of base formula which is summarized in a Math Tweet.

Standards:

Favorites
(3)

Resources
(26)

Reflections
(2)

### Exponential and Logarithmic Functions: Unit Assessment

12th Grade Math »
Unit: Exponential and Logarithmic Functions

12th Grade Math »
Unit: Exponential and Logarithmic Functions

Big Idea:

#### Assess your students' understanding of this unit.

Standards:

Favorites
(1)

Resources
(5)

Reflections
(1)

### Radioactive Decay and Nuclear Waste

12th Grade Math »
Unit: Exponential and Logarithmic Functions

12th Grade Math »
Unit: Exponential and Logarithmic Functions

Big Idea:

#### How long it will take for radioactive waste to reach a safe level?

Standards:

Favorites
(11)

Resources
(19)

Reflections
(3)

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