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Make It Real Learning Linear Functions II workbook

Introduction

The Make It Real Learning Linear Functions II workbook focuses on real-world situations that may be effectively modeled by systems of linear equations and linear inequalities.. This book is suitable for both algebra 1 and algebra 2 students.

From figuring out how to most efficiently use limited resources to determining whether or not renting a car is less expensive than driving a personal vehicle, learners will discover how to solve systems of linear equations and inequalities. Each activity integrates real world information, companies, and issues (e.g. Hertz, Aeropostale, Costco, travel options, investing, counting carbohydrates), 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 mathematical objectives of these activities fall within algebra 1 and algebra 2 courses, and fit within the standards of the National Council of Teachers of Mathematics.

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.


Linear Functions II Activity List

Activity TitleMathematical Objectives
Counting Carbohydrates:
Working with Linear Systems
Create a linear system of equations for a real-world context
Graph linear functions
Find the point of intersection of two lines
Solve a system of linear equations
Investing in Entertainment:
Using Linear Programming
Create a system of linear inequalities from a verbal description
Graph the solution region of a system of linear inequalities
Solve a linear programming problem
Investing in Fast Food:
Using Linear Programming
Create a system of linear inequalities from a verbal description
Graph the solution region of a system of linear inequalities
Solve a linear programming problem
Owning Part of a Clothing Company:
Using Linear Programming
Create a system of linear inequalities from a verbal description
Graph the solution region of a system of linear inequalities
Solve a linear programming problem
Selling Nuts:
Using Linear Inequalities
Create and graph linear inequalities
Find the point of intersection of two lines
Travel Options - California:
Working with Linear Systems
Create and graph a linear function model
Estimate a point of intersection from a graph of two lines
Solve a system of linear equations algebraically
Travel Options - Florida:
Working with Linear Systems
Create and graph a linear function model
Estimate a point of intersection from a graph of two lines
Solve a system of linear equations algebraically
Travel Options - Utah:
Working with Linear Systems
Create and graph a linear function model
Estimate a point of intersection from a graph of two lines
Solve a system of linear equations algebraically
Using Resources Wisely:
Investigating Linear Programming
Create a linear programming problem from a verbal description
Graph the feasible region of a linear programming problem
Find the corner points of a solution region
Solve a linear programming problem
Using Resources Wisely 2:
Investigating Linear Programming
Create a linear programming problem from a verbal description
Graph the feasible region of a linear programming problem
Find the corner points of a solution region
Solve a linear programming problem

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