Often we have students measure the circumference of a circle and dividing by the diameter to approximate pi. This exercise provides an alternative: students will experiment with a pendulum, and use the formula for its period to determine an approximation for pi. They will repeat and refine their experiment with multiple measurements. The Take-Home Message: Pi is an important number which appears in mathematics, physics and more. Its value can be determined experimentally using the equation for the period of a pendulum.
The fun stuff:
Approximating pi using a pendulum is an active and intriguing exploration of the intersection of physics and mathematics! Fun, interdisciplinary, thought-provoking and illuminating!
The zip file includes:
★The mission. (2 pages).
★A two-page Quick Start guide for teachers. Detailed and helpful!
★Selected Answers in pdf form.
★Selected Answers online, password protected. For students to correct at home!
The mission includes:
•A brief review of formulas involving pi.
•An introduction to the formula for the period of a simple pendulum
•Measuring of the period of a pendulum
•Approximation of pi by solving the formula for period.
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About Courage To Core:
We all have an innate curiosity about how the world works. We are wired to experiment at the edges of our knowledge, to look for patterns and to draw conclusions. Mistakes are the welcome surprises which help us refine the experiment. In a student-centered classroom, students collaborate to ask questions, gather data, interpret results and articulate understanding. Success at the edge of knowledge demands persistence and creativity. Courage To Core provides a context for students to work together to become the agents of their success and the owners of their cognition. If you like Courage To Core, please give me a positive rating to help me get started on TpT! You get credits towards future TpT purchases with every rating you give! Just revisit the purchased item in my store and scroll down to star me! Thanks!