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 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.
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 |
Free samples!
Download these free samples from Make It Real Learning series:
Samples from Activity Library, Volume I
Samples from Activity Library, Volume II
Sample of States by the Numbers series: North Dakota
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Activity Library, Volume I. Price: $39.99
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Includes 11 Make It Real Learning activity workbooks for the price of 8! You get three workbooks for free!
Activity Library, Volume II. Price: $39.99
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Includes 11 Make It Real Learning activity workbooks for the price of 8! You get three workbooks for free!
States by the Numbers Bundle. Price: $19.99
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Inludes all 50 States by the Numbers workbooks at a whopping 87% discount!
(Normal price would be 50 × $2.99 = $149.50)
You will be purchasing the download from my authorized reseller Comecero, LLC.
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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