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# Make It Real Learning Exponential and Logarithmic Functions I workbook

46 pages
(10 activities)

Free Sample (PDF):
Shopping Center Planning: Looking at Exponential and Linear Models

# Introduction

The Make It Real Learning Exponential and Logarithmic Functions I workbook focuses on real-world situations that may be effectively modeled by exponential and logarithmic functions. This book is suitable for algebra 2 or precalculus students.

From determining whether it is better to take a low interest rate or cash back to forecasting the cost of living, learners get to use mathematics in meaningful ways. Each activity integrates real world information, companies, and issues (e.g. Chase Bank, GMAC, DVD sales, compound interest, shopping center planning, cost of living), not just "realistic" data.

There are multiple ways to use the activities of the book in a teaching environment. The activities are an excellent tool for stimulating mathematical discussions in a small group setting. Due to the challenging nature of each activity, group members are motivated to brainstorm problem solving strategies together. The interesting real world contexts motivate them to want to solve the problems. The activities may also be used for individual projects and class-wide discussions.

As a ready-resource for teachers, the workbook also includes completely worked-out solutions for each activity. To make it easier for teachers to assess student work, the solutions are included on a duplicate copy of each activity.

## Exponential and Logarithmic Functions I Activity Objectives

Activity TitleMathematical Objectives
Credit Card Balance Transfer:
Working with Financial Formulas
Use the present value of an annuity formula
Solve exponential equations with logarithms
Interpret graphs of functions
DVD Player Sales:
Working with Logarithms
Solve an exponential equation with logarithms
Find the inverse of an exponential model
Evaluate and graph a logarithmic function
Government Employee Salaries:
Working with Percentage Change
Calculate the average annual percentage change of a data set
Determine average annual growth factors
Solve exponential equations using logarithms
Living Longer:
Using Exponential Function Models
Use regression to find an exponential model
Interpret the meaning of the initial value and growth factor
Solve an exponential equation with logarithms
Low Interest or Cash Back:
Using Financial Formulas
Calculate the monthly payment from the annuity formula
Solve an exponential equation with logarithms
Evaluate an exponential function at a given value
Shopping Center Planning: Looking at
Exponential and Linear Models
Find the growth factor of an exponential function from a table
Create an exponential model for a data set algebraically
Use regression to find a linear model
Interpret the meaning of the slope of a linear function
The Bank Pays You:
Using Compound Interest
Use the compound interest formula
Solve a power function equation using rational exponents
Find the annual percentage yield for a given interest rate
The Bank Pays You #2:
Using Compound Interest
Use the compound interest formula
Solve an exponential function with logarithms
Solve a power function equation by using rational exponents
Find the point of intersection of two exponential equations
The Cost of Living:
Working with Exponential Models
Find the exponential growth factor from a verbal description
Create an exponential model algebraically
Evaluate an exponential equation at a given value
The Cost of Living #2:
Working with Exponential Models
Find the exponential growth factor from a verbal description
Create an exponential model algebraically
Solve an exponential equation using logarithms

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By purchasing any of the Make It Real Learning workbooks, permission IS granted for the teacher (or parent) to reproduce this material to be used with his/her students in a teaching situation; not for commercial resale. However, you are not permitted to share the material with another teacher.

In other words, you are permitted to make copies for the students/children you are teaching, but not for other teachers' usage.

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