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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<sup>ct</sup> = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology.

Writing Linear Equations (Day 1 of 2)

Algebra I

Â» 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.

Investigating Linear and Nonlinear Tile Patterns

12th Grade Math

Â» 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.

Linear Functions

Algebra I

Â» Unit:

Linear Functions

Big Idea:Linear functions can be used to model how a changing quantity is represented in both the graph and equation of a function.

The Skyscraper Problem

12th Grade Math

Â» Unit:

Sequences and Series

Big Idea:Students investigate the cost to wash the windows of a skyscraper.

Explore the Rebound Height of A Ball

Algebra I

Â» 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.

Logs, Loans, and Life Lessons!

Algebra II

Â» Unit:

Exponential and Logarithmic Functions

Big Idea:This engaging lesson weaves together logarithms, loans, and life lessons!

Organizing a List and Guess & Check

Algebra I

Â» Unit:

Systems of Equations

Big Idea:In order for guessing and checking to be useful and efficient, itâs important to have an idea of how to organize a list of possibilities.

Get Perpendicular with Geoboards!

Algebra I

Â» Unit:

Linear Functions

Big Idea:Students reason about Perpendicular Lines with simple concrete examples using Geoboards and extend their reasoning to designing parking lines.

Comparing and Contrasting Linear and Exponential Functions

Algebra I

Â» Unit:

Exponential Functions

Big Idea:Students compare linear and exponential functions, and, learn about actual and theoretical data.

Graphing Linear Functions Using Given Information

Algebra I

Â» Unit:

Graphing Linear Functions

Big Idea:Students calculate slope and y-intercept before graphing a linear function on a coordinate plane.

Arithmetic vs. Geometric Sequences

Algebra I

Â» Unit:

Exponential Functions

Big Idea:Relate geometric sequences to exponential functions and arithmetic sequences to linear functions.

"Demystifying e" Day #1

Algebra II

Â» Unit:

Exponential and Logarithmic Functions

Big Idea:This lesson mixes the ingredients of lecture, investigation, application, and a touch of creativity to âDemystify eâ!

Sequences, Spreadsheets, and Graphs

Algebra I

Â» Unit:

Linear and Exponential Functions

Big Idea:Writing formulas in a spreadsheet lays foundations for writing recursive rules for arithmetic and geometric sequences.

Equations for Parallel and Perpendicular Lines.

Algebra I

Â» 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.

Formative Assessment Review: Sequences and Series

12th Grade Math

Â» Unit:

Sequences and Series

Big Idea:Students will review the topics from the first half of the unit.

HSF-LE.A.1

Distinguish between situations that can be modeled with linear functions and with exponential functions.

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).

HSF-LE.A.3

Observe 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.4

For exponential models, express as a logarithm the solution to ab<sup>ct</sup> = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology.