HSF-LE.A.3
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- HSF-LE.A.1Distinguish between situations that can be modeled with linear functions and with exponential functions.
- HSF-LE.A.2Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).
- HSF-LE.A.3Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.
- HSF-LE.A.4For exponential models, express as a logarithm the solution to ab^{ct} = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology.
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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
Big Idea:
Using tables to graph exponential functions, students explore exponential growth & decay while idenitfying properties such as domain, range, & asymptotes.
Standards:
Favorites
(27)
Resources
(20)
Reflections
(1)
Comparing and Contrasting Linear and Exponential Functions
Algebra I »
Unit: Exponential Functions
Algebra I »
Unit: Exponential Functions
Big Idea:
Students compare linear and exponential functions, and, learn about actual and theoretical data.
Standards:
Favorites
(9)
Resources
(28)
Reflections
(2)
Comparing Exponential and Linear Functions Day 2
Algebra I »
Unit: Exponential Functions
Algebra I »
Unit: Exponential Functions
Big Idea:
This lesson is designed to show that an exponential functions growth will eventually exceed the growth of a linear function.
Standards:
Favorites
(8)
Resources
(13)
Reflections
(1)
Sequences, Spreadsheets, and Graphs
Algebra I »
Unit: Linear and Exponential Functions
Algebra I »
Unit: Linear and Exponential Functions
Big Idea:
Writing formulas in a spreadsheet lays foundations for writing recursive rules for arithmetic and geometric sequences.
Standards:
Favorites
(1)
Resources
(18)
Reflections
(2)
Linear, Exponential, or Quadratic?
Algebra I »
Unit: Exponential Functions
Algebra I »
Unit: Exponential Functions
Big Idea:
Model different situations for Linear, Exponential, and Quadratic Functions using a collaborative activity from the Mathematical Design Collaborative (MDC).
Standards:
Favorites
(4)
Resources
(12)
Review Lesson on Exponential Functions
Algebra I »
Unit: Exponential Functions
Algebra I »
Unit: Exponential Functions
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)
Comparing Linear and Exponential Functions Day 1
Algebra I »
Unit: Exponential Functions
Algebra I »
Unit: Exponential Functions
Big Idea:
Exponential and linear growth appear similar at first but exponential growth will eventually outpace linear growth.
Standards:
Resources
(12)
Reflections
(1)
The Luckiest Man in the World: Graphing Exponential and Linear Functions
Algebra I »
Unit: Exponential Functions
Algebra I »
Unit: Exponential Functions
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!
Standards:
Favorites
(2)
Resources
(28)
Reflections
(2)
Unit Test: Logarithms and Exponential Functions
Algebra II »
Unit: Exponential Functions
Algebra II »
Unit: Exponential Functions
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.
Standards:
Resources
(5)
Reflections
(1)
Quiz and Comparing Linear, Exponential Models
Algebra II »
Unit: Exponential Functions
Algebra II »
Unit: Exponential Functions
Big Idea:
Linear models are used for situations involving change by a constant quantity while exponential models are change by a constant percentage.
Standards:
Resources
(8)
Reflections
(1)
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.
Standards:
Resources
(15)
Reflections
(1)
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.
Favorites
(2)
Resources
(13)
Reflections
(1)
How Will Your Salary Grow?
Algebra I »
Unit: Linear and Exponential Functions
Algebra I »
Unit: Linear and Exponential Functions
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...
Standards:
Favorites
(27)
Resources
(22)
Reflections
(1)
The Spending & Saving Project, Day 3
Algebra I »
Unit: Linear and Exponential Functions
Algebra I »
Unit: Linear and Exponential Functions
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!
Standards:
Favorites
(1)
Resources
(18)
Reflections
(2)
Earning Interest, Paying Interest
Algebra I »
Unit: Linear and Exponential Functions
Algebra I »
Unit: Linear and Exponential Functions
Big Idea:
Whether you're opening a bank account or receiving a rubric from a teacher, don't forget to read the small print!
Standards:
Favorites
(1)
Resources
(14)
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