Free Sample (PDF):
Shopping Center Planning: Looking at Exponential and Linear Models
The Make It Real Learning Exponential and Logarithmic Functions I workbook focuses on realworld 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 classwide discussions.
As a readyresource for teachers, the workbook also includes completely workedout 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.
The PDF for this book is enabled for annotation. This means that if you prefer, your student can fill it in on the computer, using the typewriter and drawing tools in Acrobat Reader version 9 or greater.
Activity Title  Mathematical 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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