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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

» 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

» 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

» 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

» 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

» 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

» 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

» 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.

Get Perpendicular with Geoboards!

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.

Comparing and Contrasting Linear and Exponential Functions

Algebra I

» 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

» 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

» Unit:

Exponential Functions

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

"Demystifying e" Day #1

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”!

Sequences, Spreadsheets, and Graphs

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.

Equations for Parallel and Perpendicular Lines.

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.

Formative Assessment Review: Sequences and Series

12th Grade Math

» 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^{ct} = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology.