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5. Trigonometric Functions and Graphs

5.1 Graphing Sine and Cosine Functions

Class Notes

The McGraw-Hill Ryerson PreCalculus 12 Text is used as the Main Resource.

Assignments in the Powerpoint Lesson Plans refer to pages and questions in the PreCalculus 12 text.

 5.1 Graphing Sine and Cosine Functions

 5.1 Formative Assessment Amplitude and Period

 Digital Resources

 5.1 Sin and Cos curves 2

Unwrapping the Circle: 5.1 Deroulecercle.ggb

5.1%20Unwrapping%20Unit%20Circle.wmv

Graphing Point on Circle

Unit Circle Graphing Sine and Cosine

Unit%20Circle%20and%20Graphing%20Sine%20and%20Cosine.wmv

 Pedagogical Shifts: TRANSFORM, Moving from Traditional to Student-Centered

Shifting from Student as Knowledge Recipient to Student as Inquirer and Creator

Shifting from Memorization to Higher-level Thinking

Desmos pre-created interactive graphs for trig functions are available online. Follow this link.

https://www.desmos.com/calculator    Click on the bars in the upper left corner to view all pre-created interactive graphs.

 

Building a Sine Curve and Making Connections to the Unit Circle.

This is a nice idea to make connections between the unit circle and the graph of the sine function. Students can trace the heights of the curve to build half a period of a sine curve. Possible follow up questions include "What would the other half of the graph look like?" Connections could also be made to characteristics of a sine function graph such as amplitude and period.

Template for Building the sine function graph.