HSF-IF.C.7

Scroll Up

- 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.

Scroll Down

HSF-IF.C.7b

Scroll Up

- 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.

Scroll Down

## 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
(35)

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
(5)

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
(4)

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
(11)

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
(13)

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
(3)

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

### Kindergarten

### First Grade

### Second Grade

### Third Grade

### Fourth Grade

### Fifth Grade

### Sixth Grade

### Seventh Grade

### HS Number & Quantity

### HS Algebra

### HS Functions

### HS Geometry

### Kindergarten

### First Grade

### Second Grade

### Third Grade

### Fourth Grade

### Fifth Grade

### Sixth Grade

### Seventh Grade

### Eighth Grade

### Ninth and Tenth Grade

### Kindergarten

### First grade

### Second grade

### Third Grade

### Fourth grade

### Fifth grade

### Middle School

Kindergarten

First Grade

Second Grade

Third Grade

Fourth Grade

Fifth Grade

Sixth Grade

Seventh Grade

HS Number & Quantity

HS Algebra

HS Functions

HS Geometry

Kindergarten

First Grade

Second Grade

Third Grade

Fourth Grade

Fifth Grade

Sixth Grade

Seventh Grade

Eighth Grade

Ninth and Tenth Grade

Kindergarten

First grade

Second grade

Third Grade

Fourth grade

Fifth grade

Middle School