Created on: June 10, 2009

Website Address: https://library.curriki.org/oer/Topic-2--Graphing-2-variable-linear-equations

TABLE OF CONTENTS

- Introduction to 2-variable expressions
- Writing 2-variables equations
- Graphing 2-variable equations using a table
- Graphing -- using intercepts
- Understanding and Applying Slope
- Graphing -- Using Slope-Intercept and Point-Slope Form
- Applying Slope-Intercept Form -- Generating Equations from Data
- Finding an equation from a graph
- Graphing Equations Using TI-82 or TI-83+ Calculators

In this sub-unit, students are introduced to 2-variable linear equations. They learn to graph these equations usinig a variety of methods and to determine the equation of a line from its graph. The bulk of the concepts in this unit will be introduced through the vocabulary of the economics study in Topic 1 and practiced in the context of the students' business.

In this lesson, students are introduced to the concept of a 2-variable linear expression. They learn to create these expressions by defining two variables representing different kinds of quantities, and they learn to evaluate these expressions.

In this lesson, students will learn how to translate situations in real-life into 2-variable equations and generate different ordered pair solutions.

This lesson introduces the notion of graphing 2-variable equations by making use of a function table. It uses examples from the format of the project in order to solidify the concepts of cost and revenue.

This lesson focuses on using x- and y-intercepts to quickly graph equations. It also covers how to find intercepts Algebraically without reference to the graph.

This lesson introduces the notion of slope through intuitive, geometric, and Algebraic means. This lesson may take 2 (or even 3) class periods to allow for full student comprehension, as slope is traditionally one of the most difficult-to-acquire concepts in the Algebra curriculum.

This lesson introduces students to the use of the "form equations" to be able to quickly graph a line given its equation in either slope-intercept or point-slope form.

This lesson uses the format of the business project to help students experience how to apply the concept of a linear equation to real-life situations. They will research cost information with their partners and turn this data into a cost-curve equation and graph.

This lesson focuses on "working backwards" from a given graph to derive its equation. This is a prerequisite skill for linear regression, which will be taught in the next sub-unit.

This lesson is an introduction to the skill of using graphing calculators for their primary functionality: graphing. Students will be walked through the process of graphing and then be permitted to spend time exploring the technology. Finally, the technology will be applied to the project by using "screenshots" to capture the graph of their cost curve information.