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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.

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).

Discrete and Continuous 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.

James Bialasik

Suburban Env.

12 Resources

11 Favorites

12 Resources

11 Favorites

What's Your Function?

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!

Jason Colombino

Urban Env.

18 Resources

14 Favorites

18 Resources

14 Favorites

More with Piecewise Functions

Algebra I

» Unit:

Functions

Big Idea:Understanding the domain of a piecewise function is essential to being able to graph it.

James Bialasik

Suburban Env.

15 Resources

4 Favorites

15 Resources

4 Favorites

Functions in Everyday Situations: A MAP Project Challenge

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!

Jason Colombino

Urban Env.

28 Resources

10 Favorites

28 Resources

10 Favorites

Sorting Functions

Algebra I

» Unit:

Thinking Like a Mathematician: Modeling with Functions

Big Idea:Students deepen their understanding through a sorting and matching task.

Jason Colombino

Urban Env.

23 Resources

5 Favorites

23 Resources

5 Favorites

Functions Practice and Assessment

Algebra I

» Unit:

Functions

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

James Bialasik

Suburban Env.

8 Resources

4 Favorites

8 Resources

4 Favorites

Introducing 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.

Rhonda Leichliter

Rural Env.

14 Resources

14 Favorites

14 Resources

14 Favorites

Functions Review Assignment

Algebra I

» Unit:

Functions

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

James Bialasik

Suburban Env.

8 Resources

2 Favorites

8 Resources

2 Favorites

Identifying Functions and Providing Rationale

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.

Rhonda Leichliter

Rural Env.

15 Resources

7 Favorites

15 Resources

7 Favorites

Graphing Radical Functions Day 1

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.

Jacob Nazeck

Suburban Env.

7 Resources

2 Favorites

7 Resources

2 Favorites

Unit Assessment: 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!

Jason Colombino

Urban Env.

6 Resources

23 Favorites

6 Resources

23 Favorites

Multiple Representation of Functions

Algebra I

» Unit:

Functions

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.

James Bialasik

Suburban Env.

15 Resources

5 Favorites

15 Resources

5 Favorites

Piecewise and Step Functions

Algebra I

» Unit:

Functions

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.

James Bialasik

Suburban Env.

14 Resources

5 Favorites

14 Resources

5 Favorites

Describe 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?

Jeff Li MTP

Urban Env.

15 Resources

18 Favorites

15 Resources

18 Favorites

Unit Assessment: Linear Functions

Algebra I

» Unit:

Everything is Relative: Linear Functions

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!

Jason Colombino

Urban Env.

6 Resources

1 Favorite

6 Resources

1 Favorite

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).

HSF-IF.A.2

Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.

HSF-IF.A.3

Recognize 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.