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# Make It Real Learning Quadratic Functions I workbook

46 pages
(10 activities)

Free Sample (PDF):
United States Population: Using Quadratic Models

# Introduction

The Make It Real Learning Quadratic Functions I workbook focuses on real-world situations that may be effectively modeled by quadratic functions. This book is suitable for both algebra 1 and algebra 2 students.

Whether business growth, changing population or falling objects, learners get to use mathematics in meaningful ways. Each activity integrates real world information, companies, and issues (e.g. USAA, autism, body mass index), 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.

## Quadratic Functions I Activity Objectives

Activity TitleMathematical Objectives
Autism Awareness:
Calculate and interpret the meaning of average rates of change
Use rates of change to forecast unknown results
Use regression to find a quadratic model
Autism Awareness:
Evaluate a quadratic function model at a given value
Find the x-intercepts and vertex of a parabola from its equation
Calculate and analyze trends in rates of change
Draw a scatter plot of a data set
Use regression to find a quadratic model
Changing Population — Kentucky:
Doing Data Analysis and Modeling
Determine if a linear or quadratic function best fits a data set
Use regression to find a quadratic model
Changing Population - New York:
Explain the relationship between rates of change and concavity
Determine if a linear or quadratic function best fits a data set
Use regression to find a quadratic model
Find the vertex of a quadratic function algebraically
Changing Population — South Carolina:
Doing Data Analysis and Modeling
Determine if a linear or quadratic function best fits a data set
Use regression to find a quadratic model
Evaluate a quadratic function at a given value
Falling Objects - Empire State Building:
Use a quadratic model for the position of a falling object
Create a linear equation for the velocity of a falling object
Use the quadratic formula to find x-intercepts
Falling Objects - Sears Tower:
Use a quadratic model for the position of a falling object
Create a linear equation for the velocity of a falling object
Use the quadratic formula to find x-intercepts
United States Population:
Evaluate a quadratic function at a given value
Estimate the point of intersection of two graphs visually
Using the Body Mass Index Formula:
Solving Equations
Evaluate a multivariable function at a given point

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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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