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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.

Graphing Exponential Functions

12th Grade Math

» Unit:

Exponential Functions and Equations

Big Idea:Using tables to graph exponential functions, students explore exponential growth & decay while idenitfying properties such as domain, range, & asymptotes.

Patio Problem: Sequences and Functions

Algebra I

» Unit:

Linear Functions

Big Idea:Arithmetic sequences can be modeled by linear functions that both have the same common difference.

Linear Functions

Algebra I

» Unit:

Linear Functions

Big Idea:Linear functions can be used to model how a changing quantity is represented in both the graph and equation of a function.

What Should I Charge?

Algebra I

» Unit:

Functions and Modeling

Big Idea:This unit is about functions, modeling, and student choice. Today's lesson is an introduction to the final four weeks of school.

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!

What Does "a" Do?

Algebra I

» Unit:

Quadratic Functions

Big Idea:Starting with today's assignment, my classroom becomes a workshop. Every student will learn as much as they can between now and the end of the unit.

Using Points to Determine the Shape of a Graph

Algebra I

» Unit:

Linear and Exponential Functions

Big Idea:In order to get a broad picture of functions and their graphs, we go a bit beyond just the linear and exponential functions that are the foci of this unit.

What is a Function?

Algebra I

» Unit:

Linear & Absolute Value Functions

Big Idea:Students will identify whether a relation is a function by examining its inputs and outputs or with the vertical line test.

Function Notation

Algebra I

» Unit:

Linear & Absolute Value Functions

Big Idea:Students will analyze the use of function notation when describing what is happening in a function.

Functions Unit Assessment

Algebra I

» Unit:

Functions

Big Idea:Now is the chance to show off what you know about functions.

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!

Evaluating Functions Day 2

Algebra I

» Unit:

Functions

Big Idea:Students who understand functions well can make connections between the graph of a function and the equation of the function.

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.

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.