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)
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)
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)
Common Core Math
Kindergarten
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HS Number & Quantity
HS Algebra
HS Functions
HS Geometry
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Kindergarten
First Grade
Second Grade
Third Grade
Fourth Grade
Fifth Grade
Sixth Grade
Seventh Grade
HS Number & Quantity
HS Algebra
HS Functions
HS Geometry
Kindergarten
First Grade
Second Grade
Third Grade
Fourth Grade
Fifth Grade
Sixth Grade
Seventh Grade
Eighth Grade
Ninth and Tenth Grade
Kindergarten
First grade
Second grade
Third Grade
Fourth grade
Fifth grade
Middle School