HSF-LE.A.1
Scroll Up
- 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.
Scroll Down
HSF-LE.A.1b
Scroll Up
- 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.
Scroll Down
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)
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)
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)
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)
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)
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
(6)
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
(13)
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
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
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