# Chance

by
**Plummer82**

Last updated 4 years ago

** Discipline: **

Math ** Subject: **

Prob/Stat
** Grade:**

6

Steps...1) In your pairs collect one game board, two dice, 11 counters (6 of one colour and 5 of another2) Take turns to select horses (numbers 2-12) on the game board3) Roll the dice4) Once you have tolled the dice, add the score together and the total of these two numbers is the number of the horse which moves ONE space5) The winning horse is the one which reaches the bottom square the fastest6) Play the game as many times as you can within the time given7) Tally the number of times each horse won in a tally table8) Move around to two other pairs and add the number of times their horses of the same number won into your tally table9) Return to your desk with your partner and discuss why you think one horse went better than others? How can we prove why some numbers have a better chance and probability than others?10) Write the numbers 2-12 down the side of a blank page in your maths workbook11) Record the possibilities of reaching each number (4 can be made with 1 + 3 and 2 + 2)12) Now, add up all the chances that can occur, then, record each of these numbers as a fraction13) Then, convert the fraction to a decimal14) Then, do the same on a calculator, for example 1 divided by 2 equals 0.515) Now, make the link between decimals and percentages, convert your decimals into percentages, e.g. 0.055, will be 6%, so number 3 has a 6% chance of being rolled in this game16) Add up the total percentages and have a look at what they equal. Why do you think there might be a variance if the whole is equal to 100%? 17) Add the total of the decimal numbers, what does it equal? How are 1.0 and 100% the same? 18) Write a short response to 'Is it a fair game?'

Steps...1) Listen to The Probability Song (below)2) In your pairs, discuss what you now understand about probability? What is probability and why is it important? What can we use probability and chance for?3) In your pairs collect a Choice Board Worksheet4) Access the Spinner Game (below) and collaborate and negotiate to design and build your own spinner. You may choose how many parts you want your spinner divided into and the colours of each part5) Together, predict what the outcomes would be if the spinner were to spin 10 times6) Conduct an experiment and spin the spinner 10 times and record the results7) Describe with your partner why the results may be the same or different to your predictions8) Complete the Choice Board Worksheet for you spinner. You are required to explore three tasks in a row (vertically/ horizontally/ diagonally)9) With your partner, share your ideas and negotiate and discuss your strategies and answers to the following questions before recording them in your maths workbooks: a. Was the spinner more likely to land on one colour? Why? b. How did you increase the chance of the spinner landing on blue c. Why do you think there were differences between your predictions and results? d) Is there another way you could write down the possible outcomes? e) What influences the sector the spinner lands on? Chance or luck?

Chance

Day 1

Start Here

Day 2

Start Here

Then

Spinner Game... Play...

http://www.scootle.edu.au/ec/viewing/L2376/ma_004_csiro_200/index.html

Song... Listen...

Look...

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