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.7b

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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.7b

## Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.

44 Lesson(s)

### Parent Functions

12th Grade Math »
Unit: Basic Functions and Equations

12th Grade Math »
Unit: Basic Functions and Equations

Big Idea:

#### Students organize their prior knowledge of basic functions while learning some calculator basics.

Standards:

Favorites
(39)

Resources
(15)

Reflections
(1)

### The Tortoise and the Hare Piece-wise Functions

Algebra II »
Unit: Modeling with Functions

Algebra II »
Unit: Modeling with Functions

Big Idea:

#### Will the tortoise win again? Students will not only find out but write a mathematical story about it.

Standards:

Favorites
(4)

Resources
(29)

Reflections
(1)

### Investigating a Radical Function

Algebra II »
Unit: Radical Functions - It's a sideways Parabola!

Algebra II »
Unit: Radical Functions - It's a sideways Parabola!

Big Idea:

#### A single radical function, carefully studied, leads students to important conclusions about inverse functions and extraneous solutions.

Standards:

Favorites
(6)

Resources
(11)

Reflections
(1)

### 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)

### Review Day

12th Grade Math »
Unit: Basic Functions and Equations

12th Grade Math »
Unit: Basic Functions and Equations

Big Idea:

#### This lesson, driven by a 3-2-1 assessment, helps students to review past learning and continue to make new connections.

Standards:

Favorites
(3)

Resources
(14)

### Graphing Functions: Lines, Quadratics, Square and Cube Roots (and Absolute Values)

Algebra I »
Unit: Interpret and Build Quadratic Functions and Equations

Algebra I »
Unit: Interpret and Build Quadratic Functions and Equations

Big Idea:

#### Students learn to graph different types of functions AND compare and contrast key features of families of functions!

Standards:

Favorites
(7)

Resources
(16)

Reflections
(1)

### Jeopardy: Basic Functions

12th Grade Math »
Unit: Basic Functions and Equations

12th Grade Math »
Unit: Basic Functions and Equations

Big Idea:

#### Fun (and basic function review) is what this lesson is all about. Students need to bring their thinking caps to win this game of jeopardy!

Standards:

Favorites
(2)

Resources
(5)

### Shifting Functions: How do they move?

12th Grade Math »
Unit: Basic Functions and Equations

12th Grade Math »
Unit: Basic Functions and Equations

Big Idea:

#### Students organize their knowledge of basic functions, then determine how functions can move and how this affects their equation and graphs.

Standards:

Favorites
(5)

Resources
(14)

### Dicey Functions Day 1: Piecewise functions are basic functions... just cut up!

12th Grade Math »
Unit: Basic Functions and Equations

12th Grade Math »
Unit: Basic Functions and Equations

Big Idea:

#### Working in teams, students explore piece-wise functions in this self-paced activity that emphasizes MP2: Reasoning Abstractly and Quantitatively.

Standards:

Favorites
(2)

Resources
(21)

Reflections
(1)

### Dicey Functions Day 2: Piecewise functions are basic functions... just cut up!

12th Grade Math »
Unit: Basic Functions and Equations

12th Grade Math »
Unit: Basic Functions and Equations

Big Idea:

#### Teams explore piecewise functions on Day 2 of this self-paced activity with built in checks for understanding.

Standards:

Favorites
(2)

Resources
(10)

### Test Review

12th Grade Math »
Unit: Basic Functions and Equations

12th Grade Math »
Unit: Basic Functions and Equations

Big Idea:

#### Students work together to review for the upcoming test.

Standards:

Resources
(3)

### Modeling the Speed of Tsunamis with Square Roots

Algebra II »
Unit: Radical Functions and Equations

Algebra II »
Unit: Radical Functions and Equations

Big Idea:

#### Students build a plan to determine the time it takes a tsunami to travel.

Standards:

Favorites
(18)

Resources
(18)

Reflections
(3)

### The Function Game

12th Grade Math »
Unit: Functioning with Functions

12th Grade Math »
Unit: Functioning with Functions

Big Idea:

#### Functions are investigated using a game that is accessible and engaging.

Standards:

Favorites
(14)

Resources
(9)

### Parking and Pencils: Step Functions and Piecewise Functions

12th Grade Math »
Unit: Functioning with Functions

12th Grade Math »
Unit: Functioning with Functions

Big Idea:

#### Model situations using unconventional (step and piecewise) functions.

Standards:

Favorites
(4)

Resources
(14)

Reflections
(1)

### Step Functions

Algebra II »
Unit: Modeling with Functions

Algebra II »
Unit: Modeling with Functions

Big Idea:

#### Use real world settings to distinguish between step functions and other general piece wise functions. Can you make the call?

Standards:

Favorites
(2)

Resources
(20)

Common Core Math

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