This is a Geogebra program for teaching students the Unit Circle. The program has been designed using Geogebra 5.0 (install version). This is a valuable resource when teaching trigonometry, quadrants, radians, exact ratio values, the Pythagorean identity and graphs of Sine, Cosine and Tangent. I have even included an animation of the sun rotating east to west to explain the historical reason why we rotate counter-clockwise around the unit circle for positive angles of rotation. However, you can also demonstrate negative rotation angles. The program will show students how frequency and phase connect back to the unit circle and allows you to quickly enter specific angles of rotation for use when teaching students exact ratios. It even highlights the relevant sides of the triangle for you. The program will draw the Sine, Cosine and Tangent graphs as the point rotates around the unit circle, which allows students to see the graphs forming, creating a more engaging experience for them. This is a visual teaching tool that will help students to better comprehend the concepts behind trigonometric ratios and their connection to the unit circle. There are many hours invested in creating this program. It has made my job as a teacher easier and I hope it does for you too. Enjoy.

This is a Geogebra (v5.0) application which is designed to be a resource to help students understanding the addition of two 2D navigational vectors. The application allows the teacher to generate unlimited questions that require students to add two vectors, given magnitude and bearing, and determine the resultant vector. Also, the teacher can give students the resultant vector and ask them to calculate one of the other vectors. The teacher can also hide or reveal a compass rose to help students convert between bearings and Cartesian angles. This is a great visual aid for teachers to help students obtain situational awareness when resolving vectors into their component form from their navigational form.

This is a Geogebra program for use as a visual aid in teaching the concept of harmonics in the context of generating a square wave from sinusoidal waves. This program has been designed using Geogebra 5.0 (download version). The program will visually demonstrate how the addition of sine waves of specific amplitudes and frequencies can be added together to produce a periodic square wave signal. The specific amplitudes and frequencies on the harmonics are also displayed in a table. This resource will visually engaged your students and give them an intuitive understanding of how a signal can be broken down into the various harmonic constituents.