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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.

- 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.

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.

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.

Sorting out the Change

12th Grade Math

Â» 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.

Creating and Interpreting Exponential Functions

Algebra I

Â» Unit:

Exponential Functions

Big Idea:Students work collaboratively to model different real world application of exponential functions!

Linear, Exponential, or Quadratic?

Algebra I

Â» Unit:

Exponential Functions

Big Idea:Model different situations for Linear, Exponential, and Quadratic Functions using a collaborative activity from the Mathematical Design Collaborative (MDC).

Exponential Functions Test Review

12th Grade Math

Â» 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.

Exponentials Functions Unit Test

12th Grade Math

Â» Unit:

Exponential Functions and Equations

Big Idea:Students will demonstrate their learning of Exponential Functions in this formal assessment.

Review Lesson on Exponential Functions

Algebra I

Â» Unit:

Exponential Functions

Big Idea:Students work in groups to review key concepts to solidify their understanding and use of exponential functions!

Formative Assessment: Modeling Population Growth (A Math Assessment Project Classroom Challenge)

Algebra I

Â» Unit:

Exponential Functions

Big Idea:Students model an expanding kitten population with functions!

Comparing Investments: A Math Assessment Project Classroom Challenge

Algebra I

Â» 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!

Linear and Exponential Functions Project

Algebra I

Â» Unit:

Functions

Big Idea:Show what you know. Students work on a poster project to show patterns of change in linear and exponential functions.

Discrete and Continuous Functions

Algebra I

Â» Unit:

Functions

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.

Exploring a Geometric Sequence - Different Dots

Algebra I

Â» Unit:

Arithmetic & Geometric Sequences

Big Idea:Doubling Dots: Students explore a geometric sequence and try to show its growth using multiple representations.

Decreasing Geometric Sequences

Algebra I

Â» 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.

The Cost of Storing an MP3

12th Grade Math

Â» Unit:

Statistics: Modeling With Exponential Functions

Big Idea:Once students understand a process of gathering, analyzing, presenting, and interpreting data, they'll be able to explore all sorts of new questions.

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.

HSF-LE.A.1b

Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.

HSF-LE.A.1c

Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.