Explore Graphing Calculator and Geometry Apps (Part 1)

The webinar begins with an introduction to GeoGebra, a suite of math tools including a graphing calculator and geometry app. The presenter, Tim Brzezinski, shares his background in teaching and passion for active, student-centered learning. He highlights the versatility of GeoGebra and its community-driven nature, encouraging participants to create an account for accessing and saving resources. Tim also mentions the recent update that separated the graphing calculator and geometry features for exam compliance reasons.

This section delves into the features of GeoGebra's graphing calculator app. Tim explains the removal of geometric construction tools to ensure the app's compliance with various educational exams. He demonstrates basic functionalities like plotting points, graphing equations, and using the app for algebraic calculations. The presenter also discusses the app's instant computation abilities and its potential for fostering student discovery and learning.

Tim showcases the graphing calculator's capabilities, such as computing trigonometric functions and generating tables of values. He emphasizes the app's user-friendly nature and its effectiveness in discovery-based learning. The presenter provides examples of how to use the app to teach concepts like correlation coefficients, illustrating an interactive approach where students can manipulate data points and observe changes in real-time.

The presenter discusses practical classroom applications of the graphing calculator, such as teaching linear regression. He suggests an activity where students plot data points and use the app to calculate correlation coefficients, promoting a deeper understanding of statistical concepts. Tim also touches on the app's ability to handle compound interest problems and its potential for mathematical modeling.

The focus shifts to GeoGebra's geometry app, which offers tools for geometric constructions and problem-solving. Tim demonstrates the app's intuitive interface and its potential for use beyond geometry classes. He introduces the concept of using the app for algebraic purposes and hints at the possibility of exploring more features in future sessions.

In this part, Tim explores the geometry app's capabilities for creating geometric constructions. He shows how to measure angles, use the angle tool, and verify the angle sum of a triangle. The presenter also discusses the app's settings for displaying quantitative or qualitative descriptions and its adaptability for various educational levels.

Tim uses the geometry app to demonstrate concepts of parallel and perpendicular lines. He guides viewers on how to use the app to discover that parallel lines share the same slope and perpendicular lines have slopes that are opposite reciprocals. This section emphasizes the app's role in enabling students to rediscover and understand mathematical concepts through interactive learning.

The presenter introduces transformational geometry within the app, focusing on translations, rotations, and reflections. Tim shows how to use the app's tools to perform these transformations and suggests activities that让学生 can explore to deepen their understanding of geometric concepts. He also mentions the app's potential for real-world applications and promises to continue the exploration in part two of the webinar.

In a fun and engaging demonstration, Tim shows how to use the geometry app to reflect images, using a selfie as an example. He guides viewers through the process of creating a line of symmetry and reflecting an image across it. This interactive approach provides a visual and memorable conclusion to the session, while also encouraging creative uses of the app. Tim wraps up by announcing the continuation of the webinar in part two.