Trigonometry Engaging Resources

T SO4: Desmos Sinusoidal Transformations Investigation  
(Download:  SineTransformationsInv.docx)

This investigation assumes that students understand the basic properties of y = sinx and y = cosx and the transformations related to y = a f[b(x - c)] + d.  Students will explore how the parameters a, b, c, and d affect sinusoidal functions.

The investigation involves three steps:

1.  Use Visualization to predict what characteristics will change when each of the parameters are adjusted.

2.  Verify the predictions from step 1 by using Desmos and sliders for each parameter.

3.  Explore in more detail the relationship between the parameters and the characteristics of the graph.

7 Processes focus:  Technology & Visualization.  Visit the Technology and Visualization process pages to explore more ways to incorporate these processes in your teaching.

T SO4:  Investigation - Transformations Connections
(Download:  TransformationsConnections.docx)

This activity asks students to review a transformation on a function they are already familiar with and then apply the same type of transformation to a sinusoidal function.  

7 Processes focus:  Connections.  Visit the Connections Process Page to explore more ways to incorporate Connections in your teaching.