HSF-IF.A.3

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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.

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## 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.

25 Lesson(s)

### Patio Problem: Sequences and Functions

Algebra I »
Unit: Linear Functions

Algebra I »
Unit: Linear Functions

Big Idea:

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

Standards:

Favorites
(23)

Resources
(9)

Reflections
(1)

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

Algebra I »
Unit: Linear Functions

Algebra I »
Unit: Linear Functions

Big Idea:

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

Standards:

Favorites
(6)

Resources
(11)

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.

Standards:

Favorites
(13)

Resources
(23)

Reflections
(1)

### Arithmetic Sequences: Growing Dots

Algebra I »
Unit: Linear Functions

Algebra I »
Unit: Linear Functions

Big Idea:

#### Students will use formulas to represent growth rate in various sequences.

Standards:

Favorites
(4)

Resources
(25)

Reflections
(1)

Big Idea:

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

Standards:

Favorites
(13)

Resources
(11)

Reflections
(1)

Big Idea:

#### Now is the chance to show off what you know about functions.

Standards:

Favorites
(6)

Resources
(6)

Reflections
(1)

Big Idea:

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

Standards:

Favorites
(3)

Resources
(8)

### Arithmetic Sequences Day 2 and Quiz

Algebra I »
Unit: Linear Functions

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.

Standards:

Favorites
(3)

Resources
(16)

Big Idea:

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

Standards:

Favorites
(3)

Resources
(17)

Reflections
(1)

### Comparing Sequences by Form and by Pattern of Change

Algebra I »
Unit: Thinking Like a Mathematician: Modeling with Functions

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!

Standards:

Favorites
(5)

Resources
(24)

Reflections
(1)

### Arithmetic and Geometric Sequences Vocabulary Intro

Algebra II »
Unit: Arithmetic and Geometric Sequences

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.

Standards:

Favorites
(9)

Resources
(14)

Reflections
(1)

### Geometric and Arithmetic Sequences and Series Review

Algebra II »
Unit: Arithmetic and Geometric Sequences

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).

Standards:

Favorites
(5)

Resources
(9)

Reflections
(1)

### Arithmetic Sequences

Algebra II »
Unit: Arithmetic and Geometric Sequences

Algebra II »
Unit: Arithmetic and Geometric Sequences

Big Idea:

#### Represent arithmetic sequences with various models using a fun cooperative sorting activity!

Standards:

Favorites
(5)

Resources
(16)

Reflections
(1)

### Mirror Task: Understanding Equivalent Functions

Algebra I »
Unit: Functions

Algebra I »
Unit: Functions

Big Idea:

#### Functions that model the same situation can often be written in different ways which are all equivalent.

Standards:

Favorites
(2)

Resources
(23)

Reflections
(1)

### Arithmetic and Geometric Sequences and Series Exam

Algebra II »
Unit: Arithmetic and Geometric Sequences

Algebra II »
Unit: Arithmetic and Geometric Sequences

Big Idea:

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

Standards:

Favorites
(1)

Resources
(10)

Reflections
(1)

Common Core Math

### Kindergarten

### First Grade

### Second Grade

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### Fifth Grade

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### Seventh Grade

### HS Number & Quantity

### HS Algebra

### HS Functions

### HS Geometry

### Kindergarten

### First Grade

### Second Grade

### Third Grade

### Fourth Grade

### Fifth Grade

### Sixth Grade

### Seventh Grade

### Eighth Grade

### Ninth and Tenth Grade

### Kindergarten

### First grade

### Second grade

### Third Grade

### Fourth grade

### Fifth grade

### Middle School

Kindergarten

First Grade

Second Grade

Third Grade

Fourth Grade

Fifth Grade

Sixth Grade

Seventh Grade

HS Number & Quantity

HS Algebra

HS Functions

HS Geometry

Kindergarten

First Grade

Second Grade

Third Grade

Fourth Grade

Fifth Grade

Sixth Grade

Seventh Grade

Eighth Grade

Ninth and Tenth Grade

Kindergarten

First grade

Second grade

Third Grade

Fourth grade

Fifth grade

Middle School