In this activity, students use Computer Algebra System (CAS) tools to find intersections of linear and non-linear equations. They confirm their answers by graphing the equations on the calculator.

Before the Activity

Download TI Connect™ using the TI Connectivity Cable

See the attached PDF file for detailed instructions for this activity

Print pages 1 - 14 from the attached PDF file for your class

During the Activity

Distribute the pages to the class.

Follow the Activity procedures:

Evaluate the discriminant for the equation of parabola and decide how many solutions are possible

Equate the equations for the line and the parabola and find the values of x and y

Determine the point(s) of intersection

Alternatively, graph the line and the parabola on the calculator, and determine the point(s) of intersection

Else, tabulate results for different values of x for each equation, sketch both graphs on the same set of axes, and mark the point(s) of intersection

Repeat the procedure with different sets of lines and parabolas

Summarize the findings and understand how the value of the discriminant indicates the number of intersection points

Repeat the steps to determine intersection points between a line and a circle, and a line and a rectangular hyperbola

After the Activity

Students prepare a general case for the intersection between a line and a conic section.

Review student results:

As a class, discuss questions that appeared to be more challenging