HSF-LE.A.3

Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.

 
15 Lesson(s)
   

Graphing Exponential Functions

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

Using tables to graph exponential functions, students explore exponential growth & decay while idenitfying properties such as domain, range, & asymptotes.

 
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Resources (20)
 
Reflections (1)
exponential func summary
   

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.

 
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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
   

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
   

Review Lesson on Exponential Functions

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

Students work in groups to review key concepts to solidify their understanding and use of exponential functions!

 
Favorites (2)
 
Resources (18)
 
Reflections (1)
pic review lesson exponential
   

Comparing Linear and Exponential Functions Day 1

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

Exponential and linear growth appear similar at first but exponential growth will eventually outpace linear growth.

 
Resources (12)
 
Reflections (1)
exponential v linear1 image
   
Algebra I » Unit: Exponential Functions
Jason Colombino
Salem, MA
Environment: Urban
 
Big Idea:

A man who wins two lotteries (hence the luckiest man in the world) helps students understand and work with exponential and linear functions!

 
Favorites (2)
 
Resources (28)
 
Reflections (2)
pic graphing exp logarithmic right
   

Unit Test: Logarithms and Exponential Functions

Algebra II » Unit: Exponential Functions
Algebra II » Unit: Exponential Functions
Colleen Werner
Ipswich, MA
Environment: Suburban
 
Big Idea:

To be successful in this test, you need to understand how to model with exponential functions, solve exponential equations, graph exponential functions and simplify exponential and logarithmic expressions.

 
Resources (5)
 
Reflections (1)
test
   

Quiz and Comparing Linear, Exponential Models

Algebra II » Unit: Exponential Functions
Algebra II » Unit: Exponential Functions
Colleen Werner
Ipswich, MA
Environment: Suburban
 
Big Idea:

Linear models are used for situations involving change by a constant quantity while exponential models are change by a constant percentage.

 
Resources (8)
 
Reflections (1)
linear vs exponential
   

Comparing Rates of Growth

Algebra I » Unit: Functions
Algebra I » Unit: Functions
Amanda Hathaway
Boston, MA
Environment: Urban
 
Big Idea:

Which company will make more profit? Students compare and contrast a linear growth model and an exponential growth model. They work with a variety of representations to determine when the two companies will have the same amount of money.

 
Resources (15)
 
Reflections (1)
comparing growth
   

Modeling Population Growth

Algebra I » Unit: Functions
Algebra I » Unit: Functions
Amanda Hathaway
Boston, MA
Environment: Urban
 
Big Idea:

What will the United States population be in the year 2030? Students use linear and exponential growth models to make predictions and argue about which model is the best fit for the data.

 
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Resources (13)
 
Reflections (1)
population growth
   

How Will Your Salary Grow?

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

One key word in standard F-LE.3 is "eventually"! Students explore a situation that reveals how exponential growth might take a little while to catch up with linear growth, but that when it does...

 
Favorites (27)
 
Resources (22)
 
Reflections (1)
u4 l1 complete table
   

The Spending & Saving Project, Day 3

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

Now that students have some practice with function notation, it's time to create some tables and graphs, and see what we can see!

 
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Resources (18)
 
Reflections (2)
part 2 graphing situation 4
   

Earning Interest, Paying Interest

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

Whether you're opening a bank account or receiving a rubric from a teacher, don't forget to read the small print!

 
Favorites (1)
 
Resources (14)
spending and saving project work time i
Common Core Math
 
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