Free Sample (PDF):
United States Population: Using Quadratic Models
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.
Activity Title | Mathematical 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 |
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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Activity Library, Volume I. Price: $39.99
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Includes 11 Make It Real Learning activity workbooks for the price of 8! You get three workbooks for free!
Activity Library, Volume II. Price: $39.99
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Includes 11 Make It Real Learning activity workbooks for the price of 8! You get three workbooks for free!
States by the Numbers Bundle. Price: $19.99
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Inludes all 50 States by the Numbers workbooks at a whopping 87% discount!
(Normal price would be 50 × $2.99 = $149.50)
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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