HSF-IF.A.1

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- HSF-IF.A.1Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).
- HSF-IF.A.2Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.
- HSF-IF.A.3Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. For example, the Fibonacci sequence is defined recursively by f(0) = f(1) = 1, f(n+1) = f(n) + f(n-1) for n ≥ 1.

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## HSF-IF.A.1

## Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).

26 Lesson(s)

### Discrete and Continuous Functions

Algebra I »
Unit: Linear Functions

Algebra I »
Unit: Linear Functions

Big Idea:

#### Discrete situations can be modeled by functions that are continuous. The domain and range help to determine how the graph of a function will appear.

Standards:

Favorites
(9)

Resources
(12)

### What's Your Function?

Algebra I »
Unit: Thinking Like a Mathematician: Modeling with Functions

Algebra I »
Unit: Thinking Like a Mathematician: Modeling with Functions

Big Idea:

#### Students create their own functions to model a situation relevant to their lives in this paired collaborative performance task!

Standards:

Favorites
(11)

Resources
(18)

Reflections
(2)

Big Idea:

#### Understanding the domain of a piecewise function is essential to being able to graph it.

Standards:

Favorites
(4)

Resources
(15)

Reflections
(1)

### Functions in Everyday Situations: A MAP Project Challenge

Algebra I »
Unit: Thinking Like a Mathematician: Modeling with Functions

Algebra I »
Unit: Thinking Like a Mathematician: Modeling with Functions

Big Idea:

#### A Classroom Activity challenges students to match various representations of functions to everyday situations!

Standards:

Favorites
(9)

Resources
(28)

Reflections
(1)

Big Idea:

#### This lesson will use formative assessment to allow students time to practice concepts and skills based on their individual needs.

Standards:

Favorites
(2)

Resources
(8)

### Sorting Functions

Algebra I »
Unit: Thinking Like a Mathematician: Modeling with Functions

Algebra I »
Unit: Thinking Like a Mathematician: Modeling with Functions

Big Idea:

#### Students deepen their understanding through a sorting and matching task.

Standards:

Favorites
(5)

Resources
(23)

Reflections
(1)

### Introducing Functions

Algebra I »
Unit: Introduction to Functions

Algebra I »
Unit: Introduction to Functions

Big Idea:

#### To use the concrete example of (pieces of furniture, room location) to develop deeper student understanding of a function that leads to quantitative examples.

Standards:

Favorites
(13)

Resources
(14)

Reflections
(1)

Big Idea:

#### This review assignment will wrap up the functions unit and help students understand what they need to continue to study.

Standards:

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(2)

Resources
(8)

Reflections
(1)

### Identifying Functions and Providing Rationale

Algebra I »
Unit: Introduction to Functions

Algebra I »
Unit: Introduction to Functions

Big Idea:

#### This lesson introduces functions with the school's vending machine, and uses a Frayer Model to summarize the different representations of relations and functions.

Standards:

Favorites
(6)

Resources
(15)

Reflections
(1)

### Graphing Radical Functions Day 1

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

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

Big Idea:

#### Systems of rational and linear equations may be solved graphically by observing the point where the graphs intersect.

Standards:

Favorites
(2)

Resources
(7)

### Unit Assessment: Quadratic Functions and Equations

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

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

Big Idea:

#### Students complete a unit assessment aligned to unit standards - provides excellent data source for teacher's to adjust and refine their curriculum and instruction!

Standards:

Favorites
(23)

Resources
(6)

Big Idea:

#### For students to be successful they must be able to understand and interpret multiple representations of functions in order to ultimately understand their characteristics.

Standards:

Favorites
(4)

Resources
(15)

### Describe Functions

8th Grade Math »
Unit: INTRODUCTION TO FUNCTIONS

8th Grade Math »
Unit: INTRODUCTION TO FUNCTIONS

Big Idea:

#### What does the shape of a function - without numbers - tell you about what is going on?

Standards:

Favorites
(15)

Resources
(15)

Reflections
(1)

Big Idea:

#### Students will construct a step function by analyzing salaries that increase at certain intervals. Students will transfer this understanding to constructing piecewise functions that are defined on specific domains.

Standards:

Favorites
(5)

Resources
(14)

Reflections
(1)

Big Idea:

#### Real life examples make it easier to understand the application of the concept of function. This lesson allows students to determine domain and range based on feasible inputs and outputs for a function.

Standards:

Favorites
(15)

Resources
(18)

Reflections
(1)

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