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Game show Math – Using Plinko to teach Probability Session 56: 3:30 – 4:20 PM

Game show Math – Using Plinko to teach Probability Session 56: 3:30 – 4:20 PM. Nirmala Naresh Miami University, Ohio Bridget McMahan West lake school district, Ohio. Agenda. Introduce: Participants Research Inspirations / Standards Plinko lesson - Overview

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Game show Math – Using Plinko to teach Probability Session 56: 3:30 – 4:20 PM

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  1. Game show Math – Using Plinko to teach ProbabilitySession 56: 3:30 – 4:20 PM Nirmala Naresh Miami University, Ohio Bridget McMahan West lake school district, Ohio

  2. Agenda • Introduce: Participants • Research Inspirations / Standards • Plinko lesson - Overview • Plinko – Simulations (Collect Data) • Plinko – Explorations (Tree Diagrams) • Plinko – Connection to Pascal • Reflections

  3. What do the common core standards say? • Collect data on a chance situation; Observe long term frequency. • Develop a probability model and use it to find probabilities of events. • Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the discrepancy. • Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.

  4. The Plinko game from The Price is Right

  5. Plinko: Online simulation

  6. PlinkoPedagogical Experience • Lesson Implementation: Details • Group of sixth & seventh grade students • Lesson Implemented over 2 class periods • Two classroom teachers – One student teacher • Computer lab • Watch Video – Simulate Online – Simulate using Board & Calculator

  7. Plinko Adaptation Larger Board 9 starting slots; 9 ending slots Our board: 3 Starting & Ending slots

  8. How to build a Plinko board? Materials • Foam board / Cork Board / Cardboard • Push Pins • Plinko Chart • Poker Chips • Markers

  9. Focus Questions • What are your chances of winning $5000 on this board? • If you were given only 1 chip to play on the small plinko board, which slot would you drop the chip in? Explain why you selected that slot.

  10. Collect data

  11. Focus question 1: What is the probability of winning $5000 on this board? Calculator Simulation: Instructions • Select PRGM • Choose PLINKO • ENTER Twice

  12. How many paths? Some observations

  13. Theoretical Probability P(winning $5000) = 1/3 (1/2 + 1/2 + 1/2) = 1/2

  14. A comparison

  15. Pascal & Plinko Number of possible paths using patterns of Pascal’s Triangle http://www.mathdemos.org/mathdemos/plinko/theoretical_small.html

  16. Student reflections:What did you learn? • Plinko is a probability game • Recognized that there is math in fun games like Plinko • I learned how to play plinko on a calculator • The probability of the data (experimental probability) • Difference between theoretical & experimental Probability • Better chance of winning with B • I also learning that going from B to B’ works the best – I will remember this when I go on the Price is right to play Plinko

  17. Our Reflections • Importance of creating lessons that is interesting, yet engages students • Observations were helpful • Duration / student engagement / observe student frustrations & successes • Written work • Assessing student understanding / assessing my own work / how useful were the worksheets • Use student inputs to enhance their classroom plinko experience

  18. Thank you for your time! Let us talk more! • Do share other probability related projects you have used in your classes. • Questions?

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