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.7d

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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.7d

## (+) Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.

29 Lesson(s)

### 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)

### Introduction to Rational Functions with Real-World Applications

12th Grade Math »
Unit: Rational Functions

12th Grade Math »
Unit: Rational Functions

Big Idea:

#### How long will a trip take if you travel at a certain speed? Use the relationship between speed and time to explore rational functions and discover asymptotes in the real world.

Standards:

Favorites
(26)

Resources
(14)

Reflections
(1)

### You can’t Get There from Here: Finding the Asymptotes

12th Grade Math »
Unit: Rational Functions and Equations

12th Grade Math »
Unit: Rational Functions and Equations

Big Idea:

#### Rational functions are explored using Nspire calculators to develop the rules associated with finding horizontal asymptotes algebraically.

Standards:

Favorites
(1)

Resources
(16)

### Rational Functions Review Day

12th Grade Math »
Unit: Rational Functions and Equations

12th Grade Math »
Unit: Rational Functions and Equations

Big Idea:

#### This lesson is all about helping students to solidify their skills in graphing rational equations and wrapping up the unit.

Standards:

Favorites
(2)

Resources
(15)

### Evolving Rational Functions

12th Grade Math »
Unit: Rational Functions and Equations

12th Grade Math »
Unit: Rational Functions and Equations

Big Idea:

#### Students build a rational function to investigate the relationships between a graph, an equation, and the undefined values that restrict the function's domain.

Standards:

Favorites
(3)

Resources
(13)

Reflections
(1)

### Rationalized Transformations: Shifting Rational Functions

12th Grade Math »
Unit: Rational Functions and Equations

12th Grade Math »
Unit: Rational Functions and Equations

Big Idea:

#### Fluency with manipulating algebraic fractions improves as students investigate the transformations of various rational equations.

Standards:

Favorites
(1)

Resources
(17)

### Unit Review Game: Pictionary

12th Grade Math »
Unit: Polynomial and Rational Functions

12th Grade Math »
Unit: Polynomial and Rational Functions

Big Idea:

#### Use a review game to prepare students for the unit assessment.

Standards:

Favorites
(9)

Resources
(8)

Reflections
(1)

### Light it Up - Day 1: Modeling with Rational Functions

12th Grade Math »
Unit: Rational Functions and Equations

12th Grade Math »
Unit: Rational Functions and Equations

Big Idea:

#### Students will investigate a variety of fair games, using graphs and tables they will write the rational equation that models the game.

Standards:

Favorites
(1)

Resources
(14)

### Polynomial and Rational Functions: Unit Assessment

12th Grade Math »
Unit: Polynomial and Rational Functions

12th Grade Math »
Unit: Polynomial and Rational Functions

Big Idea:

#### Assess students' understanding of polynomial and rational functions.

Standards:

Favorites
(2)

Resources
(3)

### Transformations of Functions Card Game

Algebra II »
Unit: Semester 2 Review

Algebra II »
Unit: Semester 2 Review

Big Idea:

#### Go fish! Students describe transformations of functions to get pairs of cards and win.

Standards:

Favorites
(1)

Resources
(12)

### Light it Up – Day 2: Modeling with Rational Functions

12th Grade Math »
Unit: Rational Functions and Equations

12th Grade Math »
Unit: Rational Functions and Equations

Big Idea:

#### Students will investigate the Light it Up game and find a rational equation that will help Bart and Lisa to win this game every time!

Standards:

Favorites
(1)

Resources
(16)

Reflections
(1)

### Graphing Rational Functions

12th Grade Math »
Unit: Polynomial and Rational Functions

12th Grade Math »
Unit: Polynomial and Rational Functions

Big Idea:

#### Use the conceptual work from the last two days to create an algorithm for graphing rational functions.

Standards:

Favorites
(3)

Resources
(7)

### Ultramarathon Pacing and Rational Functions

12th Grade Math »
Unit: Polynomial and Rational Functions

12th Grade Math »
Unit: Polynomial and Rational Functions

Big Idea:

#### Use an ultramarathon pacing scenario to make sense of rational functions and asymptotes.

Standards:

Favorites
(7)

Resources
(10)

Reflections
(1)

### More Applications of Rational Functions

12th Grade Math »
Unit: Rational Functions

12th Grade Math »
Unit: Rational Functions

Big Idea:

#### How can we create functions to describe these real world situations? Students explore the behavior of rational functions that they generate.

Standards:

Favorites
(3)

Resources
(17)

Reflections
(1)

### Rational Functions and Equations Test

12th Grade Math »
Unit: Rational Functions and Equations

12th Grade Math »
Unit: Rational Functions and Equations

Big Idea:

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

Standards:

Favorites
(1)

Resources
(9)

Reflections
(1)

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