IB-MYP Mathematics Year 10

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IB-MYP Mathematics Year 10

• How can I create an unfair casino game?
• Probability Inquiry Project

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The Inquiry Project

• You need to create a card game that is unfair.
• You need to make a pitch to a casino to sell
  them your game.
• You will need to explain and show how it works,
  both verbally and mathematically, and how it
  favours the house (how will it make them
  money?)
• The more subtle it is, the better (if its too
  obvious that it is unfair, then no one will play!)

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How will you be assessed?

• You will work in pairs
• You will present your game to thegroup.
• They will Peer-Assess you (one peer assessment
  per pair, so you get 2 assessments done on you)

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How will you be assessed?

• You will have 12 minutes to complete your
  presentation - 8 minutes pitch 4 minutes
  Question Answer
• You may use any media you like to assist you in
  your presentation - posters, computers, LCD etc
• The 12 minutes includes set-up time
• Pairs will then have 2 minutes to Peer Assess

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How will you be assessed?

• In the presentation you will be assessed using
  Criteria B - Investigating Patterns and Criteria
  C Communication
• The peer-assessment marks will be your final
  grade - your teacher will not be assessing you!
• In a separate brief report you will be assessed
  using Criteria D Reflection in Mathematics
  (graded by me)

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An example (to give you more of an idea)

• This example will be basic and obvious I expect
  yours to be more cunning!
• As well as explaining the game, you need to
  explain how the probabilities works
• You can use fractions, or Venn diagrams, or
  statistical probability.
• check the rubric!

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Example Zeeth! As a Casino (betting) game

• The aim of this game is, by using mathematical
  operators, to make your cards equal 24
• You bet that you can do this within two cards. If
  you can do this, you win.
• If you do it with 3 cards, its a draw.
• If you dont do it with three, you lose.

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Heres what it might look like

• Insert video example

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Why will the house win more than it loses?

• How many hands win for the punter?
• 6 4 (6 x 4) or 8 3 (8 x 3)
• What are the probabilities?.

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• What hands draw?
• 10, 10, 4 (10104)
• 10, 8, 6
• 10, 7, 7
• 10, 9, 5
• ..

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Assessment rubrics - Task Descriptors

• See the related docs and video at W-math
• Assessment rubrics

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Where to next?

• Weve done some tuning in. Next is Finding
  out
• Because youre a small group I think you should
  do this together start a KWL
• What I KNOW
• WHAT I want to know
• What I have LEARNED

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What do I want to know?

• There are known knowns. These are things we know
  that we know. There are known unknowns. That is
  to say, there are things that we know we don't
  know. But there are also unknown unknowns. There
  are things we don't know we don't know.

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What do I want to know?

• Examples of likely questions about What do I
  want to know?
• What are casino games?
• Why are they casino games?
• How do they work?
• How can we describe them mathematically?
• What are their long-probabilities?

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Probability skills youll probably need to look at

• Theoretical probability
• Experimental probability
• Long-run frequency and probability
• Tree diagrams
• Complementary and Mutually exclusive events
• Dependent and Independent events
• Subjective probability

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Text book work.

• From MathQuest10 Chapter 11, look at most things.
• There will be an individual test on Probability,
  based on most of this Chapter
• Wont include Karnaugh Maps (11E)
• You may not have learnt about some of the things
  in this Chapter that are covered quickly let me
  know and I can give you some skill building help

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