Lessons on the Pythagorean Theorem
“There is geometry in the humming of the strings. There is music in the spacing of the spheres.”
― Pythagoras
Scroll ↓
Pythagorean Theorem
I recently had the opportunity to engage students in a set of challenges on Google Earth. These challenges covered a range of topics, including history, art, and navigation. Although we explored the significance and historical background of the discovery of the New World and its most famous explorer, Columbus, the primary focus was on a five-lesson review of the Pythagorean Theorem, with an emphasis on incorporating navigation concepts.
-
During an ancient event, Pythagoras heard the sound of a blacksmith striking iron and realized that each strike had a unique sound. I shared with the class how Pythagoras used this realization to create a mathematical equation for the vibration of chords, which led to the development of the musical scale. This amazing scholar is responsible for initiating the ability to compose and read music.
In order to teach the importance of triangulation in finding locations while navigating, students had to understand the practical applications of the theorem and appreciate its connection to various aspects of life. We aimed to create a focused environment where students could use their imagination to learn through role-play, despite being limited by the scope of the lesson. It was rewarding to see students experience a sense of wonder and beauty throughout the lesson.
-
The finalized five-lesson unit, which includes a revision assignment and an in-class support day, culminated in a comprehensive test. The lesson plans were centered on the Length, Area, and Volume strands of the Ontario Curriculum (E 2.3, 2.4). The primary objective of the unit was to provide a thorough understanding of all aspects of the theorem while also demonstrating real-world applications to the students.
-
By utilizing Google Earth, students have the opportunity to explore history and art, measure distances, and even trace Columbus' journey to where those locations are today. Additionally, the incorporation of mathematical word problems allows students to take on the role of the captain, igniting their imagination and encouraging exploration beyond the confines of the classroom.
-
The students were provided with authentic navigational maps obtained from the Office of Coast Survey belonging to the US Department of Commerce. To reinforce the concept of triangulation in navigation, all the word problems related to the Pythagorean Theorem were marked on the maps. It was the captain's responsibility to determine their location and displacement. Additionally, the PBS Education series "Explorers: Age of Encounter" was utilized as an introductory tool to establish a connection between the past and present in the students' minds.
J.M.W Turner's stunning seascapes captivated audiences with his masterful use of color.
Using Mathigon Manipulatives Students proved the theorem.
The last leg of our lesson takes us to Gibara Cuba.
In the past, people believed that the world was flat and feared falling into the mouth of a giant monster if they reached the edge. However, with advancements in science and art, we now possess the knowledge and power to explore our world with confidence.
In class demonstration.
Google Earth Interactive project.