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Make It Real Learning Periodic and Piecewise Functions I workbook

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

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  • Navigate by topic
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The books listed below are from the Blue Series (worktexts by topic) and the Green Series (worksheet collections by topic). If you are looking for full curriculum by grade, or for workbooks/worksheets by grade level, please click on the "Navigate by grade" tab.

Addition & Subtraction

Addition 1 worktext (grade 1)
Subtraction 1 worktext (grade 1)
Add & Subtract 2-A worktext (grades 1-2)
Add & Subtract 2-B worktext (grade 2)
Add & Subtract 3 worktext (grades 2-3)
Add & Subtract 4 worktext (grades 3-4)

Place Value

Place Value 1 worktext (grade 1)
Place Value 2 worktext (grade 2)
Place Value 3 worktext (grade 3)
Place Value 4 worktext (grade 4)
Place Value 5 worktext (grades 5-6)

Multiplication & Division

Multiplication 1 worktext (grade 3)
Division 1 worktext (grade 3)
Multiplication 2 worktext (grade 4)
Division 2 worktext (grade 4)
Multiplication Division 3 worktext (grade 5)
Multiplication & Division worksheets (grades 3-6)
Numbers & Operations worksheets (grades 3-6)

Clock and Money

Clock worktext (grades 1-3)
U.S. Money worktext (grades 1-3)
Canadian Money worktext (grades 1-3)
European Money worktext (grades 1-3)

Measuring

Measuring 1 worktext (grades 1-3)
Measuring 2 worktext (grades 4-5)
Metric Measuring worktext (grades 1-4)
Measuring worksheets (grades 3-6)

Fractions

Introduction to Fractions worktext (grades 2-4)
Fractions 1 worktext (grades 5-6)
Fractions 2 worktext (grades 5-6)
Fractions worksheets (grades 3-6)

Decimals

Decimals 1 worktext (grades 4-5)
Decimals 2 worktext (grades 5-6)
Decimals worksheets (grades 3-6)

Geometry

Early Geometry worktext (grades 1-3)
Geometry 1 worktext (grades 4-5)
Geometry worksheets (grades 3-7)

Problem Solving

The Four Operations (with a Touch of Algebra) worktext (grades 5-6)
Ratios & Proportions & Problem Solving worktext (grades 5-6)
Ratio, Proportion & Percent worksheets (grades 5-7)

Other topics

Integers worksheets (grades 5-6)
Statistics worksheets (grades 4-7)

Make It Real Learning

States by the Numbers series (grades 3-6)

Arithmetic I (grades 3-6)
Fractions, Percents, and Decimals I (grades 4-8)
Fractions, Percents, and Decimals II (grades 4-8)
Sets, Probability, and Statistics I (grades 6-10)
Linear Functions I (grades 9, 11)
Linear Functions II (grade 11)
Quadratic Functions I (grades 9, 11)
Exponential & Logarithmic Functions I (grades 11-12)
Periodic & Piecewise Functions I (grades 11-12)
Polynomial, Power, Logistic & Rational Functions I (grades 11-12)
Calculus I (grade 12)

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