Unit 6 – Exponential Functions and Applications

Overview

This unit will be focusing on exponential functions. We will start by reviewing exponent rules, looking at rational exponents (exponents that have fraction exponents), then we will use function notation to make data tables and graph those. There are MANY applications to exponents, many used in everyday life. We will explore how to create exponential expressions based on contexts to answer real world questions.

Standards

Standard CCSS Language Interpretation
N.RN.1 Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. For example 51/3  is the cube roots of 5 because we want (51/3)3 = (53)1/3 Convert rational exponents into roots & use exponent rules to simplify.
A.SSE.1b Interpret complicated expressions by viewing one or more of their parts as a single entity. (i.e. I = P(1+r)^t student can identify the principal, rate and time interval) Within a context, interpret the parts of an exponential function. (i.e. I = P(1+r)^t student can identify the principal, rate and time interval).
A.CED.1 Create equations and inequalities in one variable and use them to solve problems. Including exponential functions. Students can create an equation modeling a simple situation using exponents. Answers simple questions using their designed model.
F.IF.7e Graph exponential and logarithmic functions showing intercepts and end behavior. Graph exponential functions by creating a table or identifying key parts. Can distinguish between growth and decay.

Videos

 

Classwork

Day 1: Exponent Laws Discovery Activity

Day 2: Drug Filtering Worksheet

Day 3/4: Bees Gone Crazy Task – Exponential Functions

Day 4: Who is right, who is wrong (answers)

Day 5: Modeling with Exponential Functions