This unit plan will link the right triangle trigonometry and unit circle to graphing the trigonometric functions. We will begin by ÒunwrappingÓ the unit circle and then explore transformations of the graphs.
Image taken from http://math-fail.com/2009/11/sine-flu.html
The ÒUnwrapping the Unit CircleÓ task allows students to make connections to what they learned about the unit circle and graphing sine and cosine. This task is intended to be completed in pairs or small groups (4 members or less). Allot one day (90 min block schedule) for students to graph the sine function and a second day for them to graph the cosine function and discuss their results. Depending on the size of the class and student needs, this activity can take 2-3 days on a 90 minute block schedule.
Another method for using this task is to assign groups either the cosine or sine function and then have the groups compare their graphs and discuss the similarities and differences. Both methods are useful in allowing students to directly relate the coordinates of the unit circle to the graphs of sine and cosine.
Unwrapping the Unit Circle (STUDENT, TEACHER)
Sine Tracer GSP file to pair with instruction
This task can be given in its entirety or broken into sections. I believe it would be less overwhelming to give the tasks in sections. I suggest that you distribute the first 2 pages and emphasize the connection between the unit circle and the properties of the sine and cosine functions. Next, have students compare the sine and cosine functions noting their similarities and differences. Finally, encourage students to note the similarities between the transformations of the sine and cosine functions and the transformations of the functions which have been studies prior to this unit.
Graphing Sine and Cosine (STUDENT, TEACHER)
Graphing Sine and Cosine Flipchart to pair with instruction
Translating Sine and Cosine Flipchart to pair with instruction
This unit introduces some new vocabulary so here is a quizlet to help students review the vocabulary. This is especially important to help students speak mathematically and can be used at the beginning of the unit or as a review throughout the unit.
http://quizlet.com/21077473/trigonometry-functions-graphing-flash-cards/
PROJECT IDEAS
Glogster.com allows students (and you) to create an online poster. It's a great way to incorporate technology, its eco friendly and easier to grade than lugging around a lot of paper projects.
This is a student produced Glogster on trigonometry.
http://www.glogster.com/miachoi/trignometry-project-by-mia-choi/g-6lghcbo0pr0qqkkq4knjca0
Goanimate.com is a website which allows you to create animations for free. It is extremely user friendly and easy to maneuver. Two of the videos on this page were created using Goanimate.com. You can assign students different topics or allow them to choose a topic and create an animation about it.
Have students create their own flashcards and/or quizzes on www.quizlet.com.
There are tons of ways to assess students on this material outside of traditional quizzes and testing these are just a few.