HSF-LE.A.1
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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.1c
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- HSF-LE.A.1aProve that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.
- HSF-LE.A.1bRecognize situations in which one quantity changes at a constant rate per unit interval relative to another.
- HSF-LE.A.1cRecognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.
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HSF-LE.A.1c
Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.
16 Lesson(s)
Explore the Rebound Height of A Ball
Algebra I »
Unit: Exponential Functions
Algebra I »
Unit: Exponential Functions
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.
Standards:
Favorites
(10)
Resources
(12)
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
(12)
Resources
(28)
Reflections
(2)
Sorting out the Change
12th Grade Math »
Unit: Exponential Functions and Equations
12th Grade Math »
Unit: Exponential Functions and Equations
Big Idea:
Students identify the type of function (linear or exponential) which represents a situation & writes equations to model these situations.
Standards:
Favorites
(17)
Resources
(22)
Reflections
(2)
Creating and Interpreting Exponential Functions
Algebra I »
Unit: Exponential Functions
Algebra I »
Unit: Exponential Functions
Big Idea:
Students work collaboratively to model different real world application of exponential functions!
Standards:
Favorites
(14)
Resources
(25)
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
(5)
Resources
(12)
Exponential Functions Test Review
12th Grade Math »
Unit: Exponential Functions and Equations
12th Grade Math »
Unit: Exponential Functions and Equations
Big Idea:
Students will work together and ask questions on their test review to prepare for tomorrow's unit test.
Standards:
Favorites
(3)
Resources
(3)
Exponentials Functions Unit Test
12th Grade Math »
Unit: Exponential Functions and Equations
12th Grade Math »
Unit: Exponential Functions and Equations
Big Idea:
Students will demonstrate their learning of Exponential Functions in this formal assessment.
Standards:
Favorites
(1)
Resources
(3)
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)
Formative Assessment: Modeling Population Growth (A Math Assessment Project Classroom Challenge)
Algebra I »
Unit: Exponential Functions
Algebra I »
Unit: Exponential Functions
Big Idea:
Students model an expanding kitten population with functions!
Standards:
Favorites
(2)
Resources
(43)
Reflections
(3)
Comparing Investments: A Math Assessment Project Classroom Challenge
Algebra I »
Unit: Everything is Relative: Linear Functions
Algebra I »
Unit: Everything is Relative: Linear Functions
Big Idea:
Students compare simple and compound interest problems as a backdrop for distinguishing between linear and exponential functions across representations!
Standards:
Favorites
(1)
Resources
(31)
Reflections
(2)
Big Idea:
Show what you know. Students work on a poster project to show patterns of change in linear and exponential functions.
Standards:
Resources
(12)
Reflections
(1)
Big Idea:
Is change happening continuously? Students compare and contrast discrete and continuous functions and build on their conceptual understanding of the domain of functions.
Standards:
Resources
(15)
Reflections
(1)
Exploring a Geometric Sequence - Different Dots
Algebra I »
Unit: Arithmetic & Geometric Sequences
Algebra I »
Unit: Arithmetic & Geometric Sequences
Big Idea:
Doubling Dots: Students explore a geometric sequence and try to show its growth using multiple representations.
Standards:
Favorites
(1)
Resources
(16)
Reflections
(1)
Decreasing Geometric Sequences
Algebra I »
Unit: Arithmetic & Geometric Sequences
Algebra I »
Unit: Arithmetic & Geometric Sequences
Big Idea:
What happens when you give away 60% of your candy stash? Students explore what happens when a geometric sequence has a constant ratio between 0 and 1.
Standards:
Resources
(14)
Reflections
(1)
The Cost of Storing an MP3
12th Grade Math »
Unit: Statistics: Modeling With Exponential Functions
12th Grade Math »
Unit: Statistics: Modeling With Exponential Functions
Big Idea:
Once students understand a process of gathering, analyzing, presenting, and interpreting data, they'll be able to explore all sorts of new questions.
Standards:
Resources
(14)
Common Core Math
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Second Grade
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Fifth Grade
Sixth Grade
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Eighth Grade
Ninth and Tenth Grade
Kindergarten
First grade
Second grade
Third Grade
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