1 / 10

Modeling Motion with Parametric Equations: The Swing Lab Activity

Engage students with "The Swing Lab," an interactive activity designed to apply trigonometric functions and parametric equations in motion modeling. Students work in groups to collect data on the behavior of a swinging object, measuring distance and time to represent key parameters such as amplitude, vertical shift, and period. By the end of the lab, they will effectively communicate their findings through a written report, deepening their understanding of sine and cosine functions as they relate to real-world applications.

elaina
Télécharger la présentation

Modeling Motion with Parametric Equations: The Swing Lab Activity

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. You Send Me Swinging! Using Parametric Equations to Model Motion Dedra Eatmon NCSSM TCM Conference 2007

  2. The “Swing Lab” is an activity used to demonstrate an application for trigonometric functions used in parametric mode for modeling • Student can apply what they have learned and have fun, also

  3. Prior Knowledge • Familiarity with parametric mode on calculator • Knowledge of sine and cosine functions and what each parameter represents in:

  4. To gather the necessary data for the lab collection students will need: • Tape measures and/or meter/yard sticks • Stopwatches

  5. Swinging Objectives • By the conclusion of this lab activity, your students will be able to • Collect data to accurately represent amplitude, vertical shift,and period of swinger • Use knowledge of trignometric functions to represent the path • Effectively communicate data collection procedure, solutions, and results through written report

  6. The Line Up • Students will work in 3-4 person groups • Student 1 will be the swinger • Student 2 will measure vertical distance • Student 3 will measure horizontal distance • Student 4 will be the timekeeper • In groups with 3 students, someone will measure distance and keep time

  7. Procedure • The students will have to take measurements before and while the swinger is in motion • Before • Height of the swinger at equilibrium

  8. Data Collection • During • Height of the swinger at their highest point above the ground • Horizontal distance from equilibrium to the swinger’s highest positon above the ground • The length of time to complete five swing cycles • What is a cycle? Talk to students about any difference between vertical and horizontal cycles.

  9. Let’s Swing • In groups of 3 or 4, we will swing . . . not really . . . but we can act like it. • You will need: • A pendulum • One or two meter sticks • A stopwatch

  10. Finding the Values • How do we calculate the coeffiencents and shifts for the parametric equations?

More Related