Make It Real Learning
Polynomial, Power, Logistic, Rational Functions I - real-life math workbook
46 pages
(10 activities)
Price: $4.99 PDF download
Free Sample (PDF):
Teen Pregnancy: Investigating Cubic Functions
You will be purchasing the downloads from my authorized reseller Comecero, LLC.
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.
Polynomial, Power, Logistic, Rational Functions I Activity Objectives
| Activity Title | Mathematical Objectives |
|---|---|
|
Europe Population: Using Quadratic and Cubic Models |
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 |
|
Growing Your Own Money: 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 |
|
Growing Your Own Money #2: 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 |
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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Inludes all 50 States by the Numbers workbooks at a whopping 87% discount!
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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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