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Make It Real Learning Quadratic Functions I workbook

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.


Quadratic Functions I Activity Objectives

Activity TitleMathematical Objectives
Autism Awareness:
Creating and Using Quadratic Models
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:
Solving Quadratic Equations
Evaluate a quadratic function model at a given value
Solve a quadratic equation with the Quadratic Formula
Find the x-intercepts and vertex of a parabola from its equation
Business Growth - USAA:
Quadratic Function Modeling
Calculate and analyze trends in rates of change
Draw a scatter plot of a data set
Use regression to find a quadratic model
Evaluate a quadratic function
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
Solve a quadratic equation with the Quadratic Formula
Changing Population - New York:
Modeling with Quadratics
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
Solve a quadratic equation with the Quadratic Formula
Falling Objects - Empire State Building:
Working with Quadratics
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:
Working with Quadratics
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:
Using Quadratic Models
Solve a quadratic equation with the Quadratic Formula
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
Solve linear and quadratic equations

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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)
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)

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