HSF-LE.A.1

Distinguish between situations that can be modeled with linear functions and with exponential functions.

 
66 Lesson(s)
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Investigating Linear and Nonlinear Tile Patterns

12th Grade Math » Unit: Linear and Nonlinear Functions
12th Grade Math » Unit: Linear and Nonlinear Functions
Hilary Yamtich
Oakland, CA
Environment: Urban
 
Big Idea:

How many tiles will be in the 100th figure? Students develop their own shortcuts to find explicit rules for linear and nonlinear tile patterns.

 
Favorites (8)
 
Resources (16)
 
Reflections (1)
explicit formula
   

Counting the Change: Linear, quadratic, or exponential? (Day 2 of 2)

12th Grade Math » Unit: Exponential Functions and Equations
12th Grade Math » Unit: Exponential Functions and Equations
Tiffany Dawdy
Phoenix, AZ
Environment: Urban
 
Big Idea:

Students explore rates of change to identify function types and find patterns that help them to identify and define exponential functions.

 
Favorites (6)
 
Resources (23)
 
Reflections (2)
linear v quad v exponential resized image
   

Explore the Rebound Height of A Ball

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

To compare an exponential decay function to an exponential growth function in the previous day's lesson from a table using the equation y=ab^x.

 
Favorites (5)
 
Resources (12)
bouncing balls
   

Comparing and Contrasting Linear and Exponential Functions

Algebra I » Unit: Exponential Functions
Algebra I » Unit: Exponential Functions
Jason Colombino
Salem, MA
Environment: Urban
 
Big Idea:

Students compare linear and exponential functions, and, learn about actual and theoretical data.

 
Favorites (9)
 
Resources (28)
 
Reflections (2)
pic comparing contrasting lin exp growing growing gone
   

Comparing Exponential and Linear Functions Day 2

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

This lesson is designed to show that an exponential functions growth will eventually exceed the growth of a linear function.

 
Favorites (8)
 
Resources (13)
 
Reflections (1)
exponential v linear2
   

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
   

Games with Paper

8th Grade Math » Unit: Gimme the Base: More with Exponents
8th Grade Math » Unit: Gimme the Base: More with Exponents
Shaun Errichiello
New York, NY
Environment: Urban
 
Big Idea:

We can model the immense numbers created in the exponential process and find hands on activities that help all learners.

 
Favorites (2)
 
Resources (9)
how high resized
   

Counting the Change: Linear, quadratic, or exponential? (Day 1 of 2)

12th Grade Math » Unit: Exponential Functions and Equations
12th Grade Math » Unit: Exponential Functions and Equations
Tiffany Dawdy
Phoenix, AZ
Environment: Urban
 
Big Idea:

Students explore rates of change to identify function types and find patterns that help them to identify and define exponential functions.

 
Favorites (6)
 
Resources (17)
linear v quad v exponential resized image
   

Sorting out the Change

12th Grade Math » Unit: Exponential Functions and Equations
12th Grade Math » Unit: Exponential Functions and Equations
Tiffany Dawdy
Phoenix, AZ
Environment: Urban
 
Big Idea:

Students identify the type of function (linear or exponential) which represents a situation & writes equations to model these situations.

 
Favorites (17)
 
Resources (22)
 
Reflections (2)
piggy bank
   
Algebra I » Unit: Exponential Functions
Jason Colombino
Salem, MA
Environment: Urban
 
Big Idea:

Students work collaboratively to teach each other the similarities and differences between arithmetic and geometric sequences!

 
Favorites (5)
 
Resources (31)
 
Reflections (2)
writing in math part 3 image
   

Verbal Descriptions of Linear and Nonlinear Functions

12th Grade Math » Unit: Linear and Nonlinear Functions
12th Grade Math » Unit: Linear and Nonlinear Functions
Hilary Yamtich
Oakland, CA
Environment: Urban
 
Big Idea:

When x changes, how does y change? Students make generalizations about this relationship and justify their generalizations.

 
Favorites (1)
 
Resources (10)
different data tables
   

Linear and Nonlinear Functions Summative Assessment

12th Grade Math » Unit: Linear and Nonlinear Functions
12th Grade Math » Unit: Linear and Nonlinear Functions
Hilary Yamtich
Oakland, CA
Environment: Urban
 
Big Idea:

Use the time that students are working on the summative assessment to give them informal narrative feedback which they appreciate and which helps shape the culture of the classroom.

 
Favorites (1)
 
Resources (8)
screenshot 2014 04 02 01 22 53
   

Constructing Linear and Exponential Functions

Algebra I » Unit: Exponential Functions
Algebra I » Unit: Exponential Functions
Jason Colombino
Salem, MA
Environment: Urban
 
Big Idea:

Students learn to create linear and exponential functions in different representations through the context of sorting out change.

 
Favorites (2)
 
Resources (22)
 
Reflections (1)
pic constructing linear exponential
   

Linear, Exponential, or Quadratic?

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

Model different situations for Linear, Exponential, and Quadratic Functions using a collaborative activity from the Mathematical Design Collaborative (MDC).

 
Favorites (4)
 
Resources (12)
linear quadratic or exponential
   
Algebra I » Unit: Exponential Functions
Jason Colombino
Salem, MA
Environment: Urban
 
Big Idea:

Students collaborate to identify, develop, and promote ways to use exponential functions to understand the world around us through mathematical modeling!

 
Favorites (2)
 
Resources (20)
 
Reflections (3)
pic marketing exponentials performance assessment resized

Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.

Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.

Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.

Common Core Math
 
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