GeoGebra is dynamic mathematics software for all levels of education that brings together geometry, algebra, spreadsheets, graphing, statistics, and calculus in one easy-to-use package. GeoGebra is a rapidly expanding community of millions of users located in just about every country.
In this lesson, Geogebra was used as an exploratory tool to enable deductive reasoning among learners. The learners will be given the chance to observe through manipulating the STEM Tool and writing down their observations.
After the observation, the learners will be asked to formulate the relationship among angles and arcs given.
Below is the embedded Geogebra manipulative that the students will be exploring.
In this worksheet, the learners must be able to access the Geogebra tool to be used in the exploration part of the lesson.
This worksheet must enable the discovery of the relationship between the intercepted arc of the inscribed angle.
Watch this video to learn more on how to create a basic online manipulative for your class!
Steps:
You may download the application (Geogebra 6) or work online. Visit geogebra.org.
Prepare your Geogebra worksheet using the “Geometry” feature.
Create a circle.
Create additional points in the circle using the tool “Point on Object.” Perform drag test to check if the point is on the circle.
Using the points, create a central angle using the tool “Segment.” Create an inscribed angle that share a common intercepted arc as the central angle.
Measure the angles formed by both angles.
Drag the points and observe the angle measurements.