Algebra 2 – Unit 3 – Exponential and Logarithmic Functions

Standards

Standard Language
A.SSE.3c Use the properties of exponents to transform expressions for exponential functions.
F.BF.4 Find the inverse functions.
F.BF.5 Understand the inverse relationship between exponents and logarithms and use this relationship to solve problem involving logarithms and exponents.
F.IF.7 Graph exponential and logarithmic functions, showing intercepts and end behavior.
F.IF.8 Use the properties of exponents to interpret expressions for exponential functions.
F.LE.4 For exponential models, express as a logarithm the solution to abct= d where a,c, and d are numbers and the base b is 2, 10 or e; evaluate the logarithm using technology.
F.BF.1 Write a function that describes a relationship between to quantities.
F.BF.3 Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x+k) for specific values of k (both positive and negative); find the value of k given the graphs.  Experiment with cases and illustrate an explanation of the effects on the graph using technology.  Include recognizing even and odd function from their graphs and algebraic expressions for them.
F.IF.2 Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.

The “Story” of This Unit

Exponential functions are the most powerful in the world and they are used in every day life all of the time. Loans and credit cards…thank exponential functions, nuclear weapons…again thank exponential functions. As we explore exponents, we will use real world situations to model using exponential functions, then we will learn how to think of exponential functions “backwards” by considering the inverse of exponents. By using exponential functions and their opposites (which are called logarithms), we can answer some very powerful questions like, “How many hours before the Ebola virus infects all of humanity?” We will use graphs, tables, functions and models to explore exponential and logarithmic functions.

Daily Lesson Plans

Day # Date Topic Homework Extra Class Resources
Day 1 Dec. 2 Exponent Properties 01 Homework Practice Problems How Can I Rewrite It

01 Exponent Explorations Task Summary

Homework Answers (see below)

Unit 3 Pre-Test

01 Exponent Explorations Task

Day 2 Dec. 4 Negative Exponents & Practice 02 Practice and Homework

Homework Answers (see below)

YouTube Video on Simplifying Exponential Expressions
Day 3 Dec. 6 Drug Experiment & Modeling 03 Exponential Property Practice and Homework

03 Extra Practice Problems Negative Exponents

Homework Answers (see below)

03 DrugFiltering-AS-Filtering
Day 4 Dec. 10 Compound Interest & Modeling 04 Homework writing Functions practice 04 Bouncing Balls Task

04 Practice Quiz A.SSE.3c

Video – Modeling Expressions with Equations

Day 5 Dec. 12 Most Bouncy Balls Task 05 Compound Interest & Writing Equations Practice and Homework Algebra 2 05 Practice Word Problems & Modeling with Exponential Functions

Video – Modeling Expressions with Equations

Day 6 Dec. 16 Review for Mid-Unit Assessment Practice and Homework – Interpreting Functions in Context

06 Bees Gone Crazy Practice Task Expo

04 Practice Quiz A.SSE.3c
Day 7 Dec. 18 Mid-Unit Test Unit 3 Pre-Test

Focus Standards:

  • A.SSE.3c
  • F.IF.8
  • F.BF.1
Day 8 Dec. 20 Finish Mid-Unit Test/Makeup Day

Videos

Answer Keys

3.1.1 and 3.1.2 Homework Answers
12_6 Homework