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Make It Real Learning Periodic and Piecewise Functions I - real-life math workbook

46 pages
(10 activities)

Free Sample (PDF):
Hours of Daylight - Anchorage: Working with Sinusoidal Models

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 TitleMathematical 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

Bundle specials!

Activity Library, Volume I. Price: \$39.99
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
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
Inludes all 50 States by the Numbers workbooks at a whopping 87% discount!
(Normal price would be 50 × \$2.99 = \$149.50)

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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