Download - Task 1: The Language of Chance
Task 1: The Language of Chance
Words and phrases
sure thing out of the question perhaps
no doubt out of reach once in a blue moon
most likely pig’s might fly possibly
impossible maybe London to a brick
safe bet no way shot in the dark
long odds come rain or shine sporting chance
long shot expected probably
low risk unlikely you’ve got Buckley’s
doubtful definitely in the bag
certain rock solid ten to one
rarely never
What do these words and phrases mean?
Origins and Meanings of the Phrases of Probability
Once in a blue moonMeaning: almost never, very seldom hardly ever
Origin: when the moon is a crescent some people say the other part has a bluish colour to it. This ‘blue moon’ is rare.
In the bagMeaning: certain of success, fixed, sure thing
Origin: Game birds were used in fighting and were taken to the where they would fight in a bag. Owners of the birds would say to other competitors that victory was ‘in the bag’ meaning they were sure to win. We still use this expression to mean we are certain of success.
Task 1: The Language of Chance
What is the chance of this happening?
Match examples of situations and events to different likelihoods e.g.• Rain today• School will finish early• A police car will go past the school with its siren going• Lunch time will be extended• Lunch bell will go on time • Your family will win lotto• Someone will away in the class because they are sick• You will fall over in the playground and hurt yourself• You will eat your lunch• You will go to bed on time• It will be cloudy tomorrow• You will eat ice-cream for dessert tonight• Your favourite football team will win the grand final this year
Which chance word or expression would you choose to represent the likelihood of these occurring? Can you think of another more suitable word? uncertain very likely very unlikely a good chanceextremely likely in the bag maybe never pig’s might fly
Task 2: Collect all the Swap Cards
The NEW brand of cereal has 6 new swap cards for you to collect. One in every packet.
Investigation: How many packets of the new cereal would you have to buy in order to get one of each swap card?
Number Frequency Total
1
2
3
4
5
6
Use the frequency table to keep a record of the results of your experiments. Numbers on the table can be changed to colours.
How many packets would you need to buy to get one of each card? _______
Conduct the experiment 20 times.
What is the average number of boxes you would need to buy?___________
Task 2: Collect all the Swap Cards
Class spreadsheet – results of group experiments ( 20 experiments)
Experiment Counters Dice Cards Spinners
1
2
3
20
Total
Average
Table needs to have a line for each number 1-20
Task 3: Lucky Number GameGood luck!
1 2 3 4 5
6 7 8 9 10
11 12 13 14 15
16 17 18 19 20
Pick your favourite numbers:What chance do you think you have of picking the selected numbers?!
1 number ___________________ 2 numbers _________________
3 numbers __________________ 4 numbers _________________
Task 3: Lucky Number Game
Frequency table – numbers selected over 10 games.
Number Tally Total Fraction %
1
2
3
20
Share ideas: How could you modify the game to increase your chances of winning the game?
How to Make Your Own Spinner
Steps to follow:
1. Colour your spinner according to the given instructions.
2. Place a paperclip on the spinner in the centre of the circle. Use a pencil to hold the paperclip in place. The paperclip should be able to spin around 360 degrees.
3. Flick the paper clip and note where the paper clip lands.
Student Guide:How To Simplify Fractions
Example: Simplify 18/24
Steps to follow:
Press Display
1. 18 24 8/24
2. 18/24 S
3. 18/24 S 9/12
4. 9/12 S ¾
Note: You may need to press and more than once to get the fraction to its simplest form.
Keys used: Numerator
DenominatorSimp
Student Guide:Converting a Fraction to a %
Example: Convert 6/40 to a %
Steps to follow:
Press Display
1. 6 40 6/40
2. 6/40 %
3. 15%
Note: arrow represents cursor on display
Keys used: Numerator
DenominatorPercentage Key
Enter
Student Guide: Store to Memory and Memory Recall Keys
Steps to calculate the average/mean:
Press Display
4 x 12 4 x 12 = 48 (need a m above 12)
3 x 13 3 x 13 = 39 (need a m above 13)
4 x 14 4 x 14 = 56 (need a m above 14)
3 x 15 3 x 15 = 45 (need a m above 15 )
(Recall total) 188 (m above 188)
188 ÷ 14 = 13.4
Note: If you then press the key twice it will clear the memory.
Packets of cereal Tally Frequency
12 IIII 4
13 III 3
14 IIII 4
15 III 3