HSF-LE.A.2
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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.2
Construct 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).
94 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
(36)
Resources
(19)
Reflections
(2)
Investigating Linear and Nonlinear Tile Patterns
12th Grade Math »
Unit: Linear and Nonlinear Functions
12th Grade Math »
Unit: Linear and Nonlinear Functions
Big Idea:
How many tiles will be in the 100th figure? Students develop their own shortcuts to find explicit rules for linear and nonlinear tile patterns.
Standards:
Favorites
(9)
Resources
(16)
Reflections
(1)
Big Idea:
Linear functions can be used to model how a changing quantity is represented in both the graph and equation of a function.
Standards:
Favorites
(10)
Resources
(16)
The Skyscraper Problem
12th Grade Math »
Unit: Sequences and Series
12th Grade Math »
Unit: Sequences and Series
Big Idea:
Students investigate the cost to wash the windows of a skyscraper.
Standards:
Favorites
(11)
Resources
(14)
Reflections
(1)
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)
Logs, Loans, and Life Lessons!
Algebra II »
Unit: Exponential and Logarithmic Functions
Algebra II »
Unit: Exponential and Logarithmic Functions
Big Idea:
This engaging lesson weaves together logarithms, loans, and life lessons!
Standards:
Favorites
(4)
Resources
(16)
Organizing a List and Guess & Check
Algebra I »
Unit: Systems of Equations
Algebra I »
Unit: Systems of Equations
Big Idea:
In order for guessing and checking to be useful and efficient, it’s important to have an idea of how to organize a list of possibilities.
Standards:
Favorites
(7)
Resources
(31)
Reflections
(1)
Get Perpendicular with Geoboards!
Algebra I »
Unit: Linear Functions
Algebra I »
Unit: Linear Functions
Big Idea:
Students reason about Perpendicular Lines with simple concrete examples using Geoboards and extend their reasoning to designing parking lines.
Standards:
Favorites
(2)
Resources
(17)
Reflections
(1)
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)
Graphing Linear Functions Using Given Information
Algebra I »
Unit: Graphing Linear Functions
Algebra I »
Unit: Graphing Linear Functions
Big Idea:
Students calculate slope and y-intercept before graphing a linear function on a coordinate plane.
Standards:
Favorites
(30)
Resources
(17)
Reflections
(2)
Arithmetic vs. Geometric Sequences
Algebra I »
Unit: Exponential Functions
Algebra I »
Unit: Exponential Functions
Big Idea:
Relate geometric sequences to exponential functions and arithmetic sequences to linear functions.
Standards:
Favorites
(11)
Resources
(11)
"Demystifying e" Day #1
Algebra II »
Unit: Exponential and Logarithmic Functions
Algebra II »
Unit: Exponential and Logarithmic Functions
Big Idea:
This lesson mixes the ingredients of lecture, investigation, application, and a touch of creativity to “Demystify e”!
Standards:
Favorites
(6)
Resources
(12)
Sequences, Spreadsheets, and Graphs
Algebra I »
Unit: Linear and Exponential Functions
Algebra I »
Unit: Linear and Exponential Functions
Big Idea:
Writing formulas in a spreadsheet lays foundations for writing recursive rules for arithmetic and geometric sequences.
Standards:
Favorites
(2)
Resources
(18)
Reflections
(2)
Equations for Parallel and Perpendicular Lines.
Algebra I »
Unit: Linear Functions
Algebra I »
Unit: Linear Functions
Big Idea:
For students to write the equation of a line parallel to or perpendicular to a line and passing through a given point using different representations of linear functions.
Standards:
Favorites
(2)
Resources
(12)
Arithmetic Sequences
12th Grade Math »
Unit: Sequences and Series
12th Grade Math »
Unit: Sequences and Series
Big Idea:
Formalize arithmetic sequences by moving to formulas.
Standards:
Favorites
(3)
Resources
(13)
Reflections
(1)
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