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.1a
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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.1a
Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.
16 Lesson(s)
Writing Linear Equations (Day 1 of 2)
Algebra I »
Unit: Linear & Absolute Value Functions
Algebra I »
Unit: Linear & Absolute Value Functions
Big Idea:
Students will analyze the different components of slope intercept form, and the purpose of each component in the entire equation.
Standards:
Favorites
(39)
Resources
(19)
Reflections
(2)
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
(7)
Resources
(23)
Reflections
(2)
How Does a Parabola Grow?
Algebra I »
Unit: Quadratic Functions
Algebra I »
Unit: Quadratic Functions
Big Idea:
It's not so much about the shortcut as it is about the structure it reveals!
Standards:
Favorites
(1)
Resources
(16)
Reflections
(1)
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
(7)
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)
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 and Nonlinear Function Review and Portfolio
12th Grade Math »
Unit: Linear and Nonlinear Functions
12th Grade Math »
Unit: Linear and Nonlinear Functions
Big Idea:
Give students the chance to put all the pieces together. Give them the chance to make connections between the ideas and skills of the unit.
Standards:
Favorites
(1)
Resources
(8)
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)
A Penny or $100,000!
Algebra I »
Unit: Exponential Functions
Algebra I »
Unit: Exponential Functions
Big Idea:
Students compare the pattern of change of an exponential function to the rate of change in a linear function.
Standards:
Favorites
(15)
Resources
(18)
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)
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)
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)
Push Ups - Practice with an Arithmetic Sequence
Algebra I »
Unit: Arithmetic & Geometric Sequences
Algebra I »
Unit: Arithmetic & Geometric Sequences
Big Idea:
Scott is getting buff! How many push ups will he do on day n? Students explore an arithmetic sequence and solidify their understanding of how to represent it.
Standards:
Favorites
(1)
Resources
(13)
Reflections
(1)
Big Idea:
Is that function a sequence? Students learn how to differentiate between arithmetic and geometric sequences and linear and exponential functions.
Standards:
Resources
(14)
Reflections
(1)
Common Core Math
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HS Number & Quantity
HS Algebra
HS Functions
HS Geometry
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Kindergarten
First Grade
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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