Here are some of my favourite resources for introducing the unit circle and trigonometric functions.
This interactive maths manipulative allows students to explore the connection between the unit circle and trig functions. Students can move a point around the unit circle and see the graph develop in real-time. Works in both degrees and radians.
You can use this by projecting it on the board or assigning it to students to complete on their own devices. Don't forget to check out the Phet resource bank for the free worksheets that accompany it!
Recommended for : Introduction
This is the worksheet I use to introduce students to the Sine graph for the first time. This discovery-based approach allows students to fully grapple with important concepts and form a deep understanding of the topics at hand. Colour coordinated to support students in their concept development. You can download the PDF version completely free or purchase the editable worksheet in the CM Store.
Recommended for : Introduction
The Desmos graphing calculator is fantastic for introducing trigonometric graph transformations for the first time. Students can see the impact that changing the values of a,b,c have in real-time.
I like to project this on the board and talk through the impact of changing sinx to 2sinx etc. however if students have their own devices you could set this as a discovery learning task. As students to figure out what impact a,b,c have in the function asinbx + c .
Recommended for : Trig transformations
This Maths Assessment Project booklet contains several great ideas for teaching and assessing student understanding of trig functions. My absolute favourite activity is the matching activity at the end of the document. Students have to match the graph to the function to the real-world description. There are some brilliant head-scratchers in here too make students to think deeply about the representations!
Recommended for : Assessing Trig Transformations
At the end of the unit on the unit circle and trig functions this is a brilliant assessment task. Set it for homework or have students complete it with you in class. Either way, students are practicing dozens of questions without the anxiety and frustration that often comes with book questions! Students get instantaneous feedback and can see where they are going right and where they need to improve.
Recommended for : Assessing Trig Transformations
A great lesson starter. Throw this up on the board and let students debate it out.
Another good use for this would be to print it out and have it in a folder of resources for students who finish their work early. It is a really nice challenge for high performers.
Recommended for : Lesson Starter / Early Finishers
Don't forget to check out the project maths website for resources also. They have lesson plans and booklets available free of charge online.
Here is the link to the booklet for the Trigonometric Functions lesson plans and resources - link