HSF-IF.C.7

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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.7e

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- HSF-IF.C.7aGraph linear and quadratic functions and show intercepts, maxima, and minima.
- HSF-IF.C.7bGraph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.
- HSF-IF.C.7cGraph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.
- HSF-IF.C.7d(+) Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.
- HSF-IF.C.7eGraph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.

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## HSF-IF.C.7e

## Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.

81 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)

### Bunnies and Exponential Growth

12th Grade Math »
Unit: Exponential Functions

12th Grade Math »
Unit: Exponential Functions

Big Idea:

#### Students experience and describe exponential growth by looking at exponentially increasing bunny populations.

Standards:

Favorites
(15)

Resources
(17)

### Graphs of Sine and Cosine

Algebra II »
Unit: Trigonometric Functions

Algebra II »
Unit: Trigonometric Functions

Big Idea:

#### Students get to build the graph of sine or cosine with yarn and spaghetti.

Standards:

Favorites
(10)

Resources
(47)

Reflections
(4)

### Graphing & Modeling with Exponents

Algebra II »
Unit: Exponents & Logarithms

Algebra II »
Unit: Exponents & Logarithms

Big Idea:

#### How high will the basketball bounce and will it ever stop? An exponential model sheds light on the question!

Standards:

Favorites
(3)

Resources
(22)

Reflections
(2)

### Catch the Mistake

12th Grade Math »
Unit: Midterm Review and Exam

12th Grade Math »
Unit: Midterm Review and Exam

Big Idea:

#### Mathematical Practice 3 takes center stage as students critique the reasoning of others for problematic questions.

Standards:

Resources
(9)

### Shifting Exponential Functions

12th Grade Math »
Unit: Exponential Functions and Equations

12th Grade Math »
Unit: Exponential Functions and Equations

Big Idea:

#### Building on yesterday’s idea, key features of exponential graphs, students see how parameter changes of the function can change these features.

Standards:

Favorites
(5)

Resources
(19)

Reflections
(1)

### Riding a Ferris Wheel - Day 1 of 2

12th Grade Math »
Unit: Trigonometric Functions

12th Grade Math »
Unit: Trigonometric Functions

Big Idea:

#### Use a Ferris wheel scenario to model sinusoidal functions.

Standards:

Favorites
(13)

Resources
(15)

Reflections
(2)

### "Demystifying e" Day #1

Algebra II »
Unit: Exponential and Logarithmic Functions

Algebra II »
Unit: Exponential and Logarithmic Functions

Big Idea:

#### This lesson mixes the ingredients of lecture, investigation, application, and a touch of creativity to “Demystify e”!

Standards:

Favorites
(4)

Resources
(12)

### Extra Credit Quiz

12th Grade Math »
Unit: Midterm Review and Exam

12th Grade Math »
Unit: Midterm Review and Exam

Big Idea:

#### Students will have a powerful incentive to see what they remember from the first semester!

Standards:

Resources
(8)

Reflections
(1)

### 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)

### Inverse Trig Functions - Day 1 of 2

12th Grade Math »
Unit: Trigonometric Functions

12th Grade Math »
Unit: Trigonometric Functions

Big Idea:

#### Use a graphical perspective to establish inverse trig functions.

Standards:

Favorites
(3)

Resources
(12)

Reflections
(1)

### Midterm Review Workshop

12th Grade Math »
Unit: Midterm Review and Exam

12th Grade Math »
Unit: Midterm Review and Exam

Big Idea:

#### Students work on midterm review and let you know what they still need help with.

Standards:

Resources
(3)

### Transformations of Sine and Cosine Graphs

Algebra II »
Unit: Trigonometric Functions

Algebra II »
Unit: Trigonometric Functions

Big Idea:

#### How many equations can on trig function actually have? Here's a hint... it's a lot more than one.

Standards:

Favorites
(2)

Resources
(32)

Reflections
(1)

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

Algebra II »
Unit: Exponential and Logarithmic 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

Standards:

Resources
(13)

Reflections
(1)

### Graph of Tangent

Algebra II »
Unit: Trigonometric Functions

Algebra II »
Unit: Trigonometric Functions

Big Idea:

#### How can you use similar triangles to create the graph of tangent? Find out in this lesson.

Standards:

Favorites
(1)

Resources
(21)

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