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# Make It Real Learning Polynomial, Power, Logistic, Rational Functions I workbook

46 pages
(10 activities)

Free Sample (PDF):
Teen Pregnancy: Investigating Cubic Functions

# Introduction

The Make It Real Learning Polynomial, Power, Logistic, Rational Functions I workbook focuses on real-world situations that may be effectively analyzed using polynomial, power, logistic, and rational functions. This book is suitable for high school or college level algebra 2 or precalculus courses.

From monitoring changes in height and weight to forecasting the population of Michigan, learners get to use mathematics in meaningful ways. Each activity integrates real world information, companies, and issues (e.g. Europe, Michigan, Social Security, teen pregnancy, gaining weight, growing money), 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.

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.

## Polynomial, Power, Logistic, Rational Functions I Activity Objectives

Activity TitleMathematical Objectives
Europe Population:
Determine which function type best fits a data set
Use regression to find quadratic and cubic function models
Graph polynomial functions
Calculate first and second differences of a data set
Female Height and Weight:
Using Power Function Models
Determine which function type best fits a scatter plot
Use regression to find a power function model
Convert from kilograms to pounds
Convert from centimeters to inches
Gaining Weight:
Using Logistic Function Models
Graph a logistic function
Estimate an inflection point from a graph
Interpret the real-world meaning of an inflection point
Working with Rules of Exponents
Multiply a number by a percent
Divide one number by another
Use rules of exponents to compare two exponential expressions
Working with Rules of Exponents
Multiply a number by a percent
Divide one number by another
Use rules of exponents to compare two exponential expressions
Make It Real Learning:
Working with Function Models
Create a linear model from a verbal description
Create a rational function model
Evaluate linear and rational functions
Michigan Population:
Modeling with Cubic Functions
Determine which function type best fits a data set
Use regression to find a cubic function model
Use a function model to forecast unknown results
Retail Market Analysis:
Working with Rational Functions
Use regression to find a quadratic model
Create a rational function
Determine the practical domain for a function
Evaluate a rational function at a given value
Social Security Concerns: Using
Regression and Rational Functions
Use regression to find linear and quadratic models
Create and graph a rational function model
Teen Pregnancy:
Investigating Cubic Functions
Choose a mathematical model for a given scatter plot
Use technology to find the point of intersection of two graphs
Use a polynomial model to forecast unknown results

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