Chance and Probability

two_up2

At the beginning of next term the Year 6/7 Maths classes will be starting a unit on Probability. We will use coins, dice, cards, spinners and coloured beads to perform experiments and calculate theoretical probabilities.

Draw a line across your page and mark ‘zero’ (impossible) at the left end and ‘one’ (certain) at the right end. Divide the line into quarters and mark 1/4 as ‘unlikely’, 1/2 as ‘even chance’ and 3/4 as ‘likely’. Give some examples for each category. For example, “The sun rising in the west” is impossible, a probability of zero; “Having a boy or girl baby” is equally likely, a probability of 1/2 or 50%.

Two-up” is a classic Australian game, played on Anzac day and at casinos, which involves two coins being tossed from a “kip” (a flat piece of wood) into the air. Players bet on the outcome. Are all the possibilities equal? (2 heads, tail and head or 2 tails). Can you construct a spinner with which you would have the same chances of winning as a ‘two up’ game?

The National Library of Virtual Manipulatives has a couple of good tools for teaching and learning about Probability: Virtual Spinner with histogram for graphing results and Virtual Coin tossing.

2 thoughts on “Chance and Probability

  • July 3, 2010 at 6:05 pm
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    There’ an app for that called iChoose. It has dice, coins and lots more.

  • July 3, 2010 at 7:32 pm
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    Thanks Jenny,
    I found out about it at Slide2Learn, and will be installing iChoose, Number Line, Fraction Factory, MV Fractions, Match-Up, Count By and others I found out about at the conference. I hope to have students working in three groups, with one group of 8 or 9 on iPods, who identify their learning needs (eg. “I need to learn my 6 x tables” or “I can’t add fractions”)and use at least two apps that practise that skill. Then they can do a PMI or SWOT to choose which app. they would recommend for their learning and why. I am really looking forward to trying this out in class!

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