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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.

James Bialasik

Suburban Env.

9 Resources

25 Favorites

9 Resources

25 Favorites

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.

James Bialasik

Suburban Env.

23 Resources

13 Favorites

23 Resources

13 Favorites

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.

James Bialasik

Suburban Env.

11 Resources

7 Favorites

11 Resources

7 Favorites

Arithmetic Sequences: Growing Dots

Algebra I

» Unit:

Linear Functions

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

James Bialasik

Suburban Env.

25 Resources

4 Favorites

25 Resources

4 Favorites

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?

James Bialasik

Suburban Env.

11 Resources

15 Favorites

11 Resources

15 Favorites

Functions Unit Assessment

Algebra I

» Unit:

Functions

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

James Bialasik

Suburban Env.

6 Resources

6 Favorites

6 Resources

6 Favorites

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.

James Bialasik

Suburban Env.

8 Resources

4 Favorites

8 Resources

4 Favorites

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.

James Bialasik

Suburban Env.

16 Resources

3 Favorites

16 Resources

3 Favorites

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.

James Bialasik

Suburban Env.

17 Resources

3 Favorites

17 Resources

3 Favorites

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!

Jason Colombino

Urban Env.

24 Resources

5 Favorites

24 Resources

5 Favorites

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).

Kelli Ireton

Suburban Env.

9 Resources

5 Favorites

9 Resources

5 Favorites

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.

Kelli Ireton

Suburban Env.

14 Resources

9 Favorites

14 Resources

9 Favorites

Arithmetic Sequences

Algebra II

» Unit:

Arithmetic and Geometric Sequences

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

Kelli Ireton

Suburban Env.

16 Resources

7 Favorites

16 Resources

7 Favorites

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.

Kelli Ireton

Suburban Env.

20 Resources

5 Favorites

20 Resources

5 Favorites

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.

Kelli Ireton

Suburban Env.

10 Resources

1 Favorite

10 Resources

1 Favorite

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.