My Work Sample 

Exploring a circle in GeoGebra is an interactive process that enhances the understanding of geometric properties and equations. To start, open GeoGebra and use the 'Circle with Center and Radius' tool to draw a circle by setting its center and radius. You can dynamically adjust the center and radius, observing real-time changes in the circle's equation (x−h)^2+(y−k)^2=r^2, where (h,k) is the center and r is the radius. Placing points on the circumference allows you to measure the distance from the center, verifying it equals the radius. Further exploration includes drawing chords, diameters, and tangents using the respective tools.   I created a task to assign to my students to explore the circle and it's function in GeoGebra. 

Integrating Desmos to teach the properties of a circle involves using its interactive graphing features to visually demonstrate key concepts. Start by having students use Desmos to plot a circle by inputting its equation in the form (x−h)^2+(y−k)^2=r^2. Students can then manipulate the values of h, k, and r to see how changes affect the circle's position and size. They can add points on the circle's circumference and measure distances to explore the radius, draw chords, and create diameters. Using Desmos' tools, students can also construct tangents, central angles, and inscribed angles, observing relationships and properties dynamically. This hands-on approach helps students grasp circle properties through visual and interactive learning. I used this website to introduce the properties of circle during my teaching simulation.