HSF-BF.A.2

Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.*

 
50 Lesson(s)
   

The Skyscraper Problem

12th Grade Math » Unit: Sequences and Series
12th Grade Math » Unit: Sequences and Series
Tim  Marley
Troy, MI
Environment: Suburban
 
Big Idea:

Students investigate the cost to wash the windows of a skyscraper.

 
Favorites (7)
 
Resources (14)
 
Reflections (1)
untitled
   

Investments, Loans, and Mortgages - Day 1 of 2

12th Grade Math » Unit: Sequences and Series
12th Grade Math » Unit: Sequences and Series
Tim  Marley
Troy, MI
Environment: Suburban
 
Big Idea:

How can geometric sequences help us solve problems involving financial mathematics?

 
Favorites (6)
 
Resources (15)
 
Reflections (2)
images
   

The Fractal Tree

12th Grade Math » Unit: Sequences and Series
12th Grade Math » Unit: Sequences and Series
Tim  Marley
Troy, MI
Environment: Suburban
 
Big Idea:

The Fractal Tree provides a challenging investigation of sequences.

 
Favorites (6)
 
Resources (10)
 
Reflections (1)
untitled
   

Arithmetic vs. Geometric Sequences

Algebra I » Unit: Exponential Functions
Algebra I » Unit: Exponential Functions
Rhonda Leichliter
Rogers, AR
Environment: Rural
 
Big Idea:

Relate geometric sequences to exponential functions and arithmetic sequences to linear functions.

 
Favorites (9)
 
Resources (11)
geo or arith 2
   

Sequences, Spreadsheets, and Graphs

Algebra I » Unit: Linear and Exponential Functions
Algebra I » Unit: Linear and Exponential Functions
James Dunseith
Worcester, MA
Environment: Urban
 
Big Idea:

Writing formulas in a spreadsheet lays foundations for writing recursive rules for arithmetic and geometric sequences.

 
Favorites (1)
 
Resources (18)
 
Reflections (2)
u4 l2 students graphing
   

Formative Assessment Review: Sequences and Series

12th Grade Math » Unit: Sequences and Series
12th Grade Math » Unit: Sequences and Series
Tim  Marley
Troy, MI
Environment: Suburban
 
Big Idea:

Students will review the topics from the first half of the unit.

 
Favorites (1)
 
Resources (5)
untitled
   

Geometric Sequences

12th Grade Math » Unit: Sequences and Series
12th Grade Math » Unit: Sequences and Series
Tim  Marley
Troy, MI
Environment: Suburban
 
Big Idea:

Dive into some work with geometric sequences to gain understanding and prove a formula.

 
Favorites (1)
 
Resources (9)
untitled
   

Arithmetic Sequences

12th Grade Math » Unit: Sequences and Series
12th Grade Math » Unit: Sequences and Series
Tim  Marley
Troy, MI
Environment: Suburban
 
Big Idea:

Formalize arithmetic sequences by moving to formulas.

 
Favorites (2)
 
Resources (13)
 
Reflections (1)
untitled
   

Introduction to Sequences

Algebra II » Unit: Sequences and Series
Algebra II » Unit: Sequences and Series
Jarod Hammel
Huntington, IN
Environment: Suburban
 
Big Idea:

Are sequences just patterns? No, there is so much more!

 
Favorites (6)
 
Resources (15)
 
Reflections (1)
copy of introduction to sequences
   

Geometric Sequences and Series

Algebra II » Unit: Sequences and Series
Algebra II » Unit: Sequences and Series
Jarod Hammel
Huntington, IN
Environment: Suburban
 
Big Idea:

Students work to derive the formula for the sum of a finite geometric series.

 
Favorites (1)
 
Resources (14)
 
Reflections (1)
email
   

What Makes Something a Pattern?

Algebra I » Unit: Introduction to Algebra: Focus on Problem Solving
Algebra I » Unit: Introduction to Algebra: Focus on Problem Solving
Amanda Hathaway
Boston, MA
Environment: Urban
 
Big Idea:

Can you figure out the pattern? If you can, what can you do with it? Students learn how to write rules for patterns and explore how these rules can help us predict future events.

 
Favorites (4)
 
Resources (18)
 
Reflections (1)
pattern
   

Mortgages and Geometric Series DAY #1

Algebra II » Unit: Sequences and Series
Algebra II » Unit: Sequences and Series
Jarod Hammel
Huntington, IN
Environment: Suburban
 
Big Idea:

Mortgage’s made easy with knowledge of a geometric series!

 
Resources (14)
 
Reflections (1)
mortgage
   

Arithmetic Sequences and Series

Algebra II » Unit: Sequences and Series
Algebra II » Unit: Sequences and Series
Jarod Hammel
Huntington, IN
Environment: Suburban
 
Big Idea:

Students grapple with real-life applications of Arithmetic Series.

 
Favorites (1)
 
Resources (12)
 
Reflections (1)
stack of logs image
   

Investigating Infinite Geometric Series

Algebra II » Unit: Sequences and Series
Algebra II » Unit: Sequences and Series
Jarod Hammel
Huntington, IN
Environment: Suburban
 
Big Idea:

The last several lessons have been highly practical and focused on real world application. This lesson further emphasizes mathematical questioning associated with behavior of infinite geometric series.

 
Resources (13)
 
Reflections (1)
infinite geometric series bouncy ball
   

Sequences and Series Battleship!

Algebra II » Unit: Sequences and Series
Algebra II » Unit: Sequences and Series
Jarod Hammel
Huntington, IN
Environment: Suburban
 
Big Idea:

Students use their knowledge to compete in a "Battleship" style review!

 
Favorites (2)
 
Resources (13)
 
Reflections (1)
colored paper templates
Common Core Math
 
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