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.1b
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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.1b
Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.
19 Lesson(s)
Bunnies and Exponential Growth
12th Grade Math »
Unit: Exponential Functions
12th Grade Math »
Unit: Exponential Functions
Big Idea:
Students experience and describe exponential growth by looking at exponentially increasing bunny populations.
Standards:
Favorites
(15)
Resources
(17)
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
Big Idea:
Students explore rates of change to identify function types and find patterns that help them to identify and define exponential functions.
Standards:
Favorites
(6)
Resources
(23)
Reflections
(2)
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
(5)
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
(9)
Resources
(28)
Reflections
(2)
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
Big Idea:
Students explore rates of change to identify function types and find patterns that help them to identify and define exponential functions.
Standards:
Favorites
(6)
Resources
(17)
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)
Writing in Math Classroom, Part 3: Comparing and Contrasting Arithmetic and Geometric Sequences
Algebra I »
Unit: Exponential Functions
Algebra I »
Unit: Exponential Functions
Big Idea:
Students work collaboratively to teach each other the similarities and differences between arithmetic and geometric sequences!
Standards:
Favorites
(5)
Resources
(31)
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
(11)
Resources
(25)
Reflections
(2)
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)
Emerging Pictures: Graphing Inequalities in Two Variables
Algebra I »
Unit: Systems of Equations and Inequalities
Algebra I »
Unit: Systems of Equations and Inequalities
Big Idea:
Students plot points that satisfy and do not satisfy a linear inequality until they see a picture emerge in their graphs.
Standards:
Favorites
(3)
Resources
(17)
Reflections
(1)
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)
Two Methods, One Equation: Finding the Boundary Line
Algebra I »
Unit: Systems of Equations and Inequalities
Algebra I »
Unit: Systems of Equations and Inequalities
Big Idea:
Hey, how did you find that line? Students examine two different ways to find the equations of boundary lines and work to understand why they are equivalent.
Standards:
Resources
(13)
Reflections
(1)
Increasing, Decreasing, or Constant?
Algebra I »
Unit: Linear Functions
Algebra I »
Unit: Linear Functions
Big Idea:
Students can identify the initial value when the input is 0, and determine the output and the slope of the line from a table, graph, and words.
Standards:
Resources
(14)
Reflections
(1)
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)
Common Core Math
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HS Number & Quantity
HS Algebra
HS Functions
HS Geometry
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HS Number & Quantity
HS Algebra
HS Functions
HS Geometry
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Ninth and Tenth Grade
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