In this activity, students solve trigonometric equations and investigate kinematics. They calculate and graph the displacement, velocity, and acceleration of trigonometric functions.

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 - 4 from the attached PDF file for your class

During the Activity

Distribute the pages to the class.

Follow the Activity procedures:

Enter equations of trigonometric functions and graph a plot

Solve the equations over a given domain

Find the point(s) of intersection of the graphs

Calculate the period, amplitude, and the vertical shift of the graphs

Sketch graphs for one period and label the intercepts and turning points

Determine the maximum and minimum points

Find the equation of the tangent to a curve at a given point

Study the Simple Harmonic Motion

Find the displacement, velocity, and acceleration of a particle traveling in a straight line

Interpret the graphs of displacement time, velocity time, and acceleration time

After the Activity

Students answer the questions on the activity sheet.

Review student results:

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