This activity leads the students through an investigation into the zeroes, domain and range of the sine graph. It continues investigating the transformations of the sine graph thus leading to the sinusoidal graph.
Before the Activity
Students should be familiar with graphing using transformations. This activity is a lead-in to the study of the sine curve. Students should have graphed a sine curve by hand before doing this activity. Students should also be familiar with how to operate the TI-Nspire.
During the Activity
Have students work with partners so that they can discuss their observations.
After the Activity
Activity extensionsStudents could then do application problems that require them to write their own sinusoidal function.
This activity could be applied to other trigonometric graphs.