Mathematics
Advanced
50 mins
Teacher/Student led
+65 XP
What you need:
IWB/Projector/Large Screen
Dice

Testing Chance with Dice and Spinners

Roll a die and spin a spinner many times to test predictions. Discover that one trial is unpredictable, but patterns emerge over many trials when you keep a tally and read the results.

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedHere is a fair six-sided die. If we roll it lots and lots of times, will every number come up about the same, or will one number win?

    Hands up: which number do you think will come up most?

    2 - Watch and Notice ~10 mins

    Watch the dice-roller. First one roll on its own, then a run of many rolls with a tally kept beside them.

    On a single roll, nobody can say for sure what will come up. Watch what happens to the counts once we roll many times — the bar chart below shows the counts, and the taller a bar, the more often that number came up.

    Many rolls with a tally

    3 - Try It Together ~10 mins

    Today we test our guess together. First we all predict which number will come up most in twelve rolls. Then a pupil rolls the die twelve times at the board while the class keeps a tally: roll 1, roll 2, all the way to roll 12.

    Note

    After the twelve rolls we compare the tally with the prediction: did the number we guessed really come up most, or did another number win this time? Twelve rolls is only a small test, so any number can win this time — that does not mean our thinking was wrong.

    Predict, then roll twelve times

    4 - Write Your Prediction in Your Copy ~2 mins

    COPYBOOK MOMENT

    In your maths copy, write your prediction for which number would come up most in the twelve rolls. Then write the tally beside it, so you can compare your prediction with what really happened.

    5 - Class Challenge ~8 mins

    Now we move to the spinner and test our guesses again. This spinner is fair, with two equal colours. First we predict: will red or blue come up most over many spins? Then we spin many times and read the bar chart of the counts.

    Watch closely

    If one colour never comes up in a short run of spins, does that prove it is impossible, or was it just unlucky this time?

    Predict and test the spinner

    Pupil practice
    Module 9 · Data and Chance Mixed
    Lesson 105 · Testing Chance with Dice and Spinners
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