Activity Overview
Students study quadratic relationships and explore the process of graphing quadratic inequalities and systems of quadratic inequalities. They will solve these inequalities algebraically and graph them on a coordinate plane.
Before the Activity
Install the Inequality Graphing Application on the calculator using one of these two methods:
- TI Connect™, a TI Connectivity Cable, and the Unit-to-Unit Link Cable
- TI-Navigator™ "send to class" feature
See the attached PDF file for detailed instructions for this activity
Print pages 59-67 from the attached PDF file for your class
During the Activity
Distribute the pages to your class.
Follow the Activity procedures:
- Graph the equation y = x2
- Locate points and algebraically determine if they are part of the solution set of the inequality y > x2
- Observe that all the points that are part of the solution set lie inside the parabola y = x2
- Use the Inequality Graphing Application to graph the inequality and verify the observation
- Graph a system of quadratic inequalities
- Predict if the two inequalities intersect in one or more points
- Use the Inequality Graphing application to verify the prediction
- Use the Inequality Graphing application to graph another system of quadratic inequalities
After the Activity
Students will complete the Student Worksheet and answer questions.
Review student results:
As a class, discuss questions that appeared to be more challenging
Re-teach concepts as necessary