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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.

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!

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.

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!

Sorting Functions

Algebra I

» Unit:

Thinking Like a Mathematician: Modeling with Functions

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

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.

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.

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.

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.

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.

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!

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.

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.

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?

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!

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.