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
James Bialasik
Amherst, NY
Environment: Suburban
 
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.

 
Favorites (9)
 
Resources (12)
discrete continuous image
   

What's Your Function?

Algebra I » Unit: Thinking Like a Mathematician: Modeling with Functions
Algebra I » Unit: Thinking Like a Mathematician: Modeling with Functions
Jason Colombino
Salem, MA
Environment: Urban
 
Big Idea:

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

 
Favorites (11)
 
Resources (18)
 
Reflections (2)
function lesson image
   

More with Piecewise Functions

Algebra I » Unit: Functions
Algebra I » Unit: Functions
James Bialasik
Amherst, NY
Environment: Suburban
 
Big Idea:

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

 
Favorites (4)
 
Resources (15)
 
Reflections (1)
more w piecewise
   

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
Jason Colombino
Salem, MA
Environment: Urban
 
Big Idea:

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

 
Favorites (9)
 
Resources (28)
 
Reflections (1)
map functions image
   

Functions Practice and Assessment

Algebra I » Unit: Functions
Algebra I » Unit: Functions
James Bialasik
Amherst, NY
Environment: Suburban
 
Big Idea:

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

 
Favorites (2)
 
Resources (8)
function practice assessment image
   

Sorting Functions

Algebra I » Unit: Thinking Like a Mathematician: Modeling with Functions
Algebra I » Unit: Thinking Like a Mathematician: Modeling with Functions
Jason Colombino
Salem, MA
Environment: Urban
 
Big Idea:

Students deepen their understanding through a sorting and matching task.

 
Favorites (5)
 
Resources (23)
 
Reflections (1)
create own lesson image
   

Introducing Functions

Algebra I » Unit: Introduction to Functions
Algebra I » Unit: Introduction to Functions
Rhonda Leichliter
Rogers, AR
Environment: Rural
 
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.

 
Favorites (13)
 
Resources (14)
 
Reflections (1)
pieces of furniture
   

Functions Review Assignment

Algebra I » Unit: Functions
Algebra I » Unit: Functions
James Bialasik
Amherst, NY
Environment: Suburban
 
Big Idea:

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

 
Favorites (2)
 
Resources (8)
 
Reflections (1)
function review image
   

Identifying Functions and Providing Rationale

Algebra I » Unit: Introduction to Functions
Algebra I » Unit: Introduction to Functions
Rhonda Leichliter
Rogers, AR
Environment: Rural
 
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.

 
Favorites (6)
 
Resources (15)
 
Reflections (1)
vertical line test 2
   

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!
Jacob Nazeck
Fort Collins, CO
Environment: Suburban
 
Big Idea:

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

 
Favorites (2)
 
Resources (7)
graphing radical functions student work
   

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
Jason Colombino
Salem, MA
Environment: Urban
 
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!

 
Favorites (23)
 
Resources (6)
quadratic unit test image
   

Multiple Representation of Functions

Algebra I » Unit: Functions
Algebra I » Unit: Functions
James Bialasik
Amherst, NY
Environment: Suburban
 
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.

 
Favorites (4)
 
Resources (15)
function representations2
   

Describe Functions

8th Grade Math » Unit: INTRODUCTION TO FUNCTIONS
8th Grade Math » Unit: INTRODUCTION TO FUNCTIONS
Jeff Li MTP
New York, NY
Environment: Urban
 
Big Idea:

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

 
Favorites (15)
 
Resources (15)
 
Reflections (1)
3 2 image
   

Piecewise and Step Functions

Algebra I » Unit: Functions
Algebra I » Unit: Functions
James Bialasik
Amherst, NY
Environment: Suburban
 
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.

 
Favorites (5)
 
Resources (14)
 
Reflections (1)
abraham lincoln
   

Understanding Domain and Range

Algebra I » Unit: Functions
Algebra I » Unit: Functions
James Bialasik
Amherst, NY
Environment: Suburban
 
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.

 
Favorites (15)
 
Resources (18)
 
Reflections (1)
domain range image
Common Core Math
 
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