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
James Bialasik
Amherst, NY
Environment: Suburban
 
Big Idea:

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

 
Favorites (21)
 
Resources (9)
 
Reflections (1)
patio design image
   

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

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

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

 
Favorites (6)
 
Resources (11)
writing linear equations image
   

Arithmetic Sequences

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

 
Favorites (13)
 
Resources (23)
 
Reflections (1)
arith sequence investigation image
   

Arithmetic Sequences: Growing Dots

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

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

 
Favorites (3)
 
Resources (25)
 
Reflections (1)
new growing dots image
   

Geometric Sequences

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

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

 
Favorites (13)
 
Resources (11)
 
Reflections (1)
geometric sequence image
   

Functions Unit Assessment

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

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

 
Favorites (5)
 
Resources (6)
 
Reflections (1)
function test image resized
   

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
   

Arithmetic Sequences Day 2 and Quiz

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

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

 
Favorites (3)
 
Resources (16)
arith sequence quiz image 1
   

Arithmetic Sequences Day 3

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

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

 
Favorites (3)
 
Resources (17)
 
Reflections (1)
arith sequences day 3 new image
   

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
Jason Colombino
Salem, MA
Environment: Urban
 
Big Idea:

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

 
Favorites (5)
 
Resources (24)
 
Reflections (1)
fibonacci lesson image
   

Arithmetic and Geometric Sequences Vocabulary Intro

Algebra II » Unit: Arithmetic and Geometric Sequences
Algebra II » Unit: Arithmetic and Geometric Sequences
Kelli Ireton
Junction City, KS
Environment: Suburban
 
Big Idea:

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

 
Favorites (9)
 
Resources (14)
 
Reflections (1)
sherman
   

Geometric and Arithmetic Sequences and Series Review

Algebra II » Unit: Arithmetic and Geometric Sequences
Algebra II » Unit: Arithmetic and Geometric Sequences
Kelli Ireton
Junction City, KS
Environment: Suburban
 
Big Idea:

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

 
Favorites (5)
 
Resources (9)
 
Reflections (1)
scavenger hunt game
   

Arithmetic Sequences

Algebra II » Unit: Arithmetic and Geometric Sequences
Algebra II » Unit: Arithmetic and Geometric Sequences
Kelli Ireton
Junction City, KS
Environment: Suburban
 
Big Idea:

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

 
Favorites (5)
 
Resources (16)
 
Reflections (1)
arithmetic seq pic
   
Algebra I » Unit: Functions
James Bialasik
Amherst, NY
Environment: Suburban
 
Big Idea:

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

 
Favorites (2)
 
Resources (23)
 
Reflections (1)
mirror task image
   

Arithmetic and Geometric Sequences and Series Exam

Algebra II » Unit: Arithmetic and Geometric Sequences
Algebra II » Unit: Arithmetic and Geometric Sequences
Kelli Ireton
Junction City, KS
Environment: Suburban
 
Big Idea:

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

 
Favorites (1)
 
Resources (10)
 
Reflections (1)
a
Common Core Math
 
Something went wrong. See details for more info
Nothing to upload
details
close