Teaching Algebra with Manipulatives

Chapter 6 Teaching Notes and Overview
Using Overhead
Manipulatives
Graphing Inequalities
(pp. 120–121 of this booklet)
Use With Lesson 6-6.
Objective Graph a linear inequality and
describe the graph of the inequality.
Materials
coordinate grid transparency*
transparency pens*
blank transparencies prepared
as described below
* available in Overhead Manipulative Resources
This demonstration contains two parts.
• Demonstration 1 deals with graphing y 2
and y x 2 in the coordinate system. The
solution set for each inequality is given.
Dashed lines are used to show that the points
on the line are not in the solution set. Ask
students to describe the solution set in their
own words.
• Demonstration 2 shows the graph of
y 3x 5. Make sure students know that the
points on the line for y 3x 5 are part of
the solution set along with all of the points
above the line. Again have students describe
the solution set in their own words. Next,
students are asked to describe the solution
sets of three more inequalities. In the next
three problems, a description of a solution set
is given in words. Then students are asked to
write the inequality that matches the
description. There are three of these to
complete.
Answers
Answers appear on the teacher demonstration
instructions on pages 120–121.
© Glencoe/McGraw-Hill 110 Teaching Algebra with Manipulatives