HSF-IF.C.8

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- HSF-IF.C.7Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.*
- HSF-IF.C.8Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
- HSF-IF.C.9Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a graph of one quadratic function and an algebraic expression for another, say which has the larger maximum.

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HSF-IF.C.8b

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- HSF-IF.C.8aUse the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context.
- HSF-IF.C.8bUse the properties of exponents to interpret expressions for exponential functions. For example, identify percent rate of change in functions such as y = (1.02)t, y = (0.97)t, y = (1.01)12t, y = (1.2)t/10, and classify them as representing exponential growth or decay.

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## HSF-IF.C.8b

## Use the properties of exponents to interpret expressions for exponential functions. For example, identify percent rate of change in functions such as y = (1.02)t, y = (0.97)t, y = (1.01)12t, y = (1.2)t/10, and classify them as representing exponential growth or decay.

18 Lesson(s)

### Graphing Exponential Functions

12th Grade Math »
Unit: Exponential Functions and Equations

12th Grade Math »
Unit: Exponential Functions and Equations

Big Idea:

#### Using tables to graph exponential functions, students explore exponential growth & decay while idenitfying properties such as domain, range, & asymptotes.

Standards:

Favorites
(25)

Resources
(20)

Reflections
(1)

### A Conceptual Introduction to Exponential Functions: Collaboration, Questioning, and Financial Advice!

Algebra II »
Unit: Exponential and Logarithmic Functions

Algebra II »
Unit: Exponential and Logarithmic Functions

Big Idea:

#### This lesson will provide students with the opportunity to investigate a conceptual understanding of exponential functions. Students will begin with a mathematical model and then extend their knowledge to providing "mathematical" financial advice based off

Standards:

Favorites
(5)

Resources
(13)

Reflections
(1)

### Logs, Loans, and Life Lessons!

Algebra II »
Unit: Exponential and Logarithmic Functions

Algebra II »
Unit: Exponential and Logarithmic Functions

Big Idea:

#### This engaging lesson weaves together logarithms, loans, and life lessons!

Standards:

Favorites
(4)

Resources
(16)

### 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 Much Will College Cost in the Future?

12th Grade Math »
Unit: Exponential and Logarithmic Functions

12th Grade Math »
Unit: Exponential and Logarithmic Functions

Big Idea:

#### Use real data to estimate college costs for the next generation.

Standards:

Favorites
(9)

Resources
(16)

Reflections
(2)

### Exponential Functions Test Review

12th Grade Math »
Unit: Exponential Functions and Equations

12th Grade Math »
Unit: Exponential Functions and Equations

Big Idea:

#### Students will work together and ask questions on their test review to prepare for tomorrow's unit test.

Standards:

Favorites
(2)

Resources
(3)

### Exponentials Functions Unit Test

12th Grade Math »
Unit: Exponential Functions and Equations

12th Grade Math »
Unit: Exponential Functions and Equations

Big Idea:

#### Students will demonstrate their learning of Exponential Functions in this formal assessment.

Standards:

Favorites
(1)

Resources
(3)

### 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)

### Applications of Exponential Functions and Hot Cocoa!

Algebra I »
Unit: Exponential Functions

Algebra I »
Unit: Exponential Functions

Big Idea:

#### The purpose of this lesson is to model an exponential function using temperature and how to apply Newton's Law of Cooling.

Standards:

Favorites
(2)

Resources
(18)

Reflections
(1)

### Unit Test: Logarithms and Exponential Functions

Algebra II »
Unit: Exponential Functions

Algebra II »
Unit: Exponential Functions

Big Idea:

#### To be successful in this test, you need to understand how to model with exponential functions, solve exponential equations, graph exponential functions and simplify exponential and logarithmic expressions.

Standards:

Resources
(5)

Reflections
(1)

### Formative Assessment and Unit Review

12th Grade Math »
Unit: Exponential and Logarithmic Functions

12th Grade Math »
Unit: Exponential and Logarithmic Functions

Big Idea:

#### Review the concepts we have studied in this unit and get students ready for the assessment.

Standards:

Resources
(6)

### Exponential Functions in Finance

Algebra II »
Unit: Exponential Functions

Algebra II »
Unit: Exponential Functions

Big Idea:

#### The formulas for calculating loan payments look intimidating, but when we examine the structure, we see an exponential function set equal to a geometric series.

Standards:

Resources
(13)

Reflections
(1)

### Quiz and Graphing Exponential Functions

Algebra II »
Unit: Exponential Functions

Algebra II »
Unit: Exponential Functions

Big Idea:

#### In today's quiz, students demonstrate their flexibility in using logarithms and the properties of exponents to solve equations and rewrite expressions. They also learn to produce accurate sketches of exponential functions.

Standards:

Resources
(11)

Reflections
(1)

### The Cost of Storing an MP3

12th Grade Math »
Unit: Statistics: Modeling With Exponential Functions

12th Grade Math »
Unit: Statistics: Modeling With Exponential Functions

Big Idea:

#### Once students understand a process of gathering, analyzing, presenting, and interpreting data, they'll be able to explore all sorts of new questions.

Standards:

Resources
(14)

### Review Workshop: Exponential Functions and Logarithms

Algebra II »
Unit: Exponential Functions

Algebra II »
Unit: Exponential Functions

Big Idea:

#### It's time to put together everything you have learned about logarithms, exponential equations and modeling with exponential functions.

Standards:

Resources
(9)

Reflections
(1)

Common Core Math

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