IB-MYP Mathematics Year 10 ‘How can I create an unfair casino game?’ Probability Inquiry Project

The Inquiry Project: 1. You need to create a card game that is unfair. 2. You need to make a ‘pitch’ to a casino to sell them your game. 3. 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 it’s too obvious that it is unfair, then no one will play!)

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)

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

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)

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!

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, it’s a draw. If you don’t do it with three, you lose.

Here’s what it might look like: Insert video example

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?….

What hands ‘draw’? 10, 10, 4 ( ) 10, 8, 6 10, 7, 7 10, 9, 5 …..

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

Where to next? We’ve done some ‘tuning in’. Next is ‘Finding out’ Because you’re 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

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.

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?

Probability skills you’ll 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

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 Won’t 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