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

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 TitleMathematical 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

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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.

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  • Navigate by topic
  • Navigate by grade

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)
British Money worktext (years 2-4)
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 & Decimals 3 worktext (grade 6)
Fractions worksheets (grades 3-6)

Decimals

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

Geometry

Early Geometry worktext (grades 1-3)
Geometry 1 worktext (grades 4-5)
Geometry 2 worktext (grades 6-7)
Geometry worksheets (grades 3-7)

Ratio, Proportions, Percent & algebraic thinking

The Four Operations (with a Touch of Algebra)
  worktext (grades 5-6)
Ratios & Proportions & Problem Solving
  worktext (grades 5-6)
Percent worktext (grades 6-8)
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)

Math Teaching Emails


This is a little "virtual" email course. You will receive:

A package of 300 free worksheets and sample pages; 7 math teaching articles on various topics ranging from coherent curriculum to fractions; 2 emails discussing the books; Homeschool Math newsletter (see archives).

Note: You will FIRST get an email that asks you to confirm your email address. PLEASE check also your SPAM/JUNK folder for this confirmation email.

Math Mammoth Tour


Confused about the different options? Take a 7-day virtual email tour around Math Mammoth! You'll receive:

A package of over 300 free worksheets and sample pages; 7 individual emails on 7 subsequent days that answer the most commonly asked questions, including "What is the difference between all these different-colored series?" Homeschool Math Newsletter (see archives).

This way, you'll have time to digest the information over one week, plus an opportunity to ask me personally which book would be right for your child or students.

Note: You will FIRST get an email that asks you to confirm your email address. PLEASE check also your SPAM/JUNK folder for this confirmation email.

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