Make It Real Learning
Periodic and Piecewise Functions I - real-life math workbook
46 pages
(10 activities)
Price: $4.99 PDF download
Free Sample (PDF):
Hours of Daylight - Anchorage: Working with Sinusoidal Models
You will be purchasing the downloads from my authorized reseller Comecero, LLC.
Introduction
The Make It Real Learning Periodic and Piecewise Functions I workbook focuses on real-world situations that may be effectively analyzed using periodic and piecewise functions. This book is suitable for algebra 2 or precalculus students.
From determining whether it makes sense to do a credit card balance transfer to forecasting the hours of daylight at locations around the world, learners get to use mathematics in meaningful ways. Each activity integrates real world information, companies, and issues (e.g. Verizon, Disneyland, credit card balance, hours of daylight), 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.
Periodic and Piecewise Functions I Activity Objectives
| Activity Title | Mathematical Objectives |
|---|---|
|
Cell Phone Plan Pricing -Verizon: Investigating Piecewise Functions |
Create and graph a piecewise function model Evaluate a function at a given value from an equation or graph Use numerical results to make informed consumer decisions |
|
Credit Card Balance Transfer #2: Working with Financial Formulas |
Use annuity formulas to find the future value of an investment Create a piecewise function to model a real-world context Use numerical results to make informed consumer decisions |
|
Credit Card Balance Transfer #3: Working with Financial Formulas |
Use annuity formulas to find the future value of an investment Create and graph piecewise functions to model real-world data Use graphical results to make informed consumer decisions |
|
Custom Greeting Cards: Working with Piecewise Functions |
Create and graph a piecewise function model Evaluate a function at a given value from an equation or graph Use numerical results to make informed consumer decisions |
|
Hours of Daylight - Anchorage: Working with Sinusoidal Models |
Determine the periodic function that will best fit a scatter plot Calculate the midline and amplitude of a sinusoidal model Calculate the period of a periodic data set Create a sinusoidal model for a periodic data set algebraically |
|
Hours of Daylight - Easter Island: Working with Sinusoidal Models |
Determine the periodic function that will best fit a scatter plot Calculate the midline and amplitude of a sinusoidal model Calculate the period of a periodic data set Create a sinusoidal model for a periodic data set algebraically |
|
Hours of Daylight - Perth: Working with Sinusoidal Models |
Determine the periodic function that will best fit a scatter plot Calculate the midline and amplitude of a sinusoidal model Calculate the period of a periodic data set Create a sinusoidal model for a periodic data set algebraically |
| Hours of Daylight - Phoenix: Working with Sinusoidal Models |
Determine the periodic function that will best fit a scatter plot Calculate the midline and amplitude of a sinusoidal model Calculate the period of a periodic data set Create a sinusoidal model for a periodic data set algebraically |
|
Hours of Daylight: Using Inverse Trigonometric Functions |
Use inverse trig functions to solve trigonometric equations Create a sinusoidal function model for a periodic data set |
| The Cost of Entertainment: Working with Piecewise Functions |
Create and graph a piecewise function from a verbal description Evaluate a piecewise function at a given value Use numerical results to make informed consumer decisions |
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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Includes 11 Make It Real Learning activity workbooks for the price of 8! You get three workbooks for free!
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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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