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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.

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.

Arithmetic Sequences

Algebra I

» Unit:

Linear Functions

Big Idea:Students will discover that as long as they know at least two terms in an arithmetic sequence they can determine an explicit formula.

Writing the Equation for a Linear Function (Day 1 of 2)

Algebra I

» Unit:

Linear Functions

Big Idea:This lesson shows how to approach writing the equation of a line using multiple methods.

Arithmetic Sequences: Growing Dots

Algebra I

» Unit:

Linear Functions

Big Idea:Students will use formulas to represent growth rate in various sequences.

Geometric Sequences

Algebra I

» Unit:

Exponential Functions

Big Idea:If you folded a large piece of paper 50 times its thickness would be about 77 million miles...why?

Functions Unit Assessment

Algebra I

» Unit:

Functions

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

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.

Arithmetic Sequences Day 2 and Quiz

Algebra I

» Unit:

Linear Functions

Big Idea:Students can use the structure of a sequence to construct a formula that will allow them to find any term.

Arithmetic Sequences Day 3

Algebra I

» Unit:

Linear Functions

Big Idea:Given any two terms in an arithmetic sequences students can use patterns to find the explicit formula.

Comparing Sequences by Form and by Pattern of Change

Algebra I

» Unit:

Thinking Like a Mathematician: Modeling with Functions

Big Idea:Students explore the Fibonacci sequence and other sequences to further their understanding of functions!

Geometric and Arithmetic Sequences and Series Review

Algebra II

» Unit:

Arithmetic and Geometric Sequences

Big Idea:Represent arithmetic and geometric sequences/series with various models (MP#4) using a cooperative learning review activity (MP#3).

Arithmetic and Geometric Sequences Vocabulary Intro

Algebra II

» Unit:

Arithmetic and Geometric Sequences

Big Idea:Vocabulary of sequences will be developed in a fun and engaging" Here is... Where is" Scavenger Hunt Activity.

Arithmetic Sequences

Algebra II

» Unit:

Arithmetic and Geometric Sequences

Big Idea:Represent arithmetic sequences with various models using a fun cooperative sorting activity!

Geometric Sequences

Algebra II

» Unit:

Arithmetic and Geometric Sequences

Big Idea:Students will represent geometric sequences with various models using an engaging and effective cooperative learning activity.

Arithmetic and Geometric Sequences and Series Exam

Algebra II

» Unit:

Arithmetic and Geometric Sequences

Big Idea:Represent arithmetic and geometric sequences/series with various models in an exam over the unit.

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.