In this activity, students use the calculator to solve quadratic equations. They use the quadratic formula to determine the vertex and the x-intercepts of the graph of a quadratic function.

Before the Activity

See the attached PDF file for detailed instructions for this activity

Print pages 69 - 72 from the attached PDF file for your class

During the Activity

Distribute the pages to the class.

Follow the Activity procedures:

Perform symbolic manipulation of the quadratic equation, use the calculator to solve the expression, and indicate both positive and negative solution

Use the solution in the original equation and confirm the results

Solve real world problems involving quadratic equations

Use the function model for the height of a projectile and complete the time versus height data table

Graph the function and find the maximum height for the projectile, time taken to reach the height, and time the ball remained in the air

Solve the given quadratic formula for projectile motion and answer the questions

Examine the graph of a quadratic function and realize that the shape is a parabola

Determine the axis of symmetry (vertical intercept), and the x- or y- intercepts

Understand the meaning of the intercepts and the vertex

After the Activity

Students solve the equations and problems on the Student Activity pages.

Review student results:

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