This activity is intended to supplement Algebra I, Chapter 7, Lesson 6.
Time required: 20 minutes
In this activity, students will identify whether points lie within a shaded region that is bounded by linear inequalities. The focus is on testing the points for truth in the inequality. Students will use a graph to verify their answers.
Students will visually determine the location of a point with regard to shading or the line itself. (Above, below, or on the line itself)
Students will answer True or False as to whether a point satisfies multiple conditions established by linear inequalities.
Teacher Preparation and Notes
Students will utilize a random number generator to create unique scenarios and answer questions about the points plotted as a result.
Students will organize their thinking by using a table structure on the worksheet to answer True or False as to whether a point lies within a shaded region.
Students will use the : menu to evaluate inequalities as true or false.
Problem 1 - Is a Point a Solution?
The table on the student worksheet will make it easier for students to organize their thinking and to show their work.
Problem 2 - Generating Solutions
Have students use the table to record their answers on the student handout.
Problem 3 - Overlapping Region
The students must regenerate points until at least one lies within the triangle.
The students should use the table to record their answers on the student handout.
Encourage the students to continue generating ordered pairs if they can not easily see the grid in order to record the correct numbers. If the students can’t clearly determine whether the point lands on a line, or within or outside of the shaded region, don’t use that point for simplicity of discussion.