Exponential Functions Introduction

Lesson Prep

Lesson Details

• Duration: 50 minutes

• Learning Goal: (1) Create a need for the formula (2) Understand that exponential functions have a multiplying rate of change (3) Provide a context for the meaning of a and b.

Prework

• Make sure you have Chromebooks or some other class set of technology

• Watch the following videos to learn more about our retake policy and how we go over quizzes

  • Retake Policy

  • Going Over Quizzes

Answer Keys

• Link to Answer Keys

Classwork

• Avi and Benita’s Repair Shop (Desmos)

• Notes

• Go over Concept Quiz

  • Students complete this analysis handout in order to prepare for a retake.

Standards

Common Core

• 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.B.5 – Interpret the parameters in a linear or exponential function in terms of a context.

TEKS

• A.9(A) – determine the domain and range of exponential functions of the form f(x) = abx and represent the domain and range using inequalities

• A.9(B) – interpret the meaning of the values of a and b in exponential functions of the form f(x) = abx in real-world problems

• A.9(C) – write exponential functions in the form f(x) = abx (where b is a rational number) to describe problems arising from mathematical and real-world situations, including growth and decay

• A.9(D) – graph exponential functions that model growth and decay and identify key features, including y-intercept and asymptote, in mathematical and real-world problems

• A.9(E) – write, using technology, exponential functions that provide a reasonable fit to data and make predictions for real-world problems