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# Mathematics / Year 6 / Statistics and Probability / Chance

Curriculum content descriptions

Describe probabilities using fractions, decimals and percentages (ACMSP144)

Elaborations
• investigating games of chance popular in different cultures and evaluating the relative benefits to the organisers and participants (for example Pachinko)
General capabilities
• Literacy Literacy
• Numeracy Numeracy
ScOT terms

Probability

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Year level 5-6
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Learning area Mathematics

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### What are the chances?

Do you know what chance is? It's the probability or the likelihood of something happening. Watch this video as Grace explains the probability of picking a red marble out of a bowl. What's the probability of picking a green marble?

### The foul food maker: questions 1

Use a vending machine to get an awful meal such as fly soup, worm pasta or yucky duck. The machine serves a meal randomly from four slots. Work out the likelihood of getting each type of meal. Then choose a matching probability word: impossible, unlikely, equal, likely or certain. Run simple probability experiments. Compare ...

### Mystery spinner: challenge

Look at results in a frequency graph compiled after testing an unseen spinner. Work out the likely proportions of colours in the mystery spinner. Use a tool to build a new spinner (a dial with a pointer). Choose up to five equal-sized sectors. Fill the sectors with up to five colours. For example, make a five-part spinner ...

### The foul food maker: questions 2

Use a vending machine to get an awful meal such as fly soup, worm pasta or yucky duck. The machine serves a meal randomly from four slots. Work out the likelihood of getting each type of meal. Then choose a matching probability word: impossible, unlikely, equal, likely or certain. Run simple probability experiments. Compare ...

### Mystery spinner

Look at results in a frequency graph compiled after testing an unseen spinner. Work out the likely proportions of colours in the mystery spinner. Use a tool to build a new spinner (a dial with a pointer). Choose up to twelve equal-sized sectors. Fill the sectors with up to five colours. For example, make a six-part spinner ...

### Mystery spinner: match the graph

Look at results in a frequency graph compiled after testing an unseen spinner. Work out the likely proportions of colours in the mystery spinner. Use a tool to build a new spinner (a dial with a pointer). Choose up to three equal-sized sectors. Fill the sectors with up to three colours. For example, make a three-part spinner ...

### Dice duels: bike race

Race bikes along a track. Try to pick a winner before the races start. Add the numbers on a pair of dice to determine which bike moves. Explore how many rolls are needed to complete a race. Work out the least and greatest number of rolls possible for two track lengths. Look at larger samples of race results. Compare the ...

### Dice duels: find the bias

A dice has been weighted (loaded) to favour one of the six numbers. Roll the dice to work out which is the favoured face. Explore how many rolls are needed for you to be reasonably sure of a conclusion. Look at demonstrations of the mathematical principles of bias. Compare the shape of theoretical data distributions with ...

### Dice duels: load one dice

Make biased dice. Weight (load) a dice to favour one of the six numbers. For example, load the number six so that it is three times more likely to come up than any other face (probability 4/9). Test ideas about bias by rolling a loaded dice. Look at demonstrations of the mathematical principles of bias. Compare the shape ...

### The foul food maker: go figure

This tutorial is suitable for use with a screen reader. It explains how the use of simple words can describe the likelihood of everyday events. How likely is an event: certain, likely, equal chance, unlikely or certainly not? Answer some questions using these words and then build your own examples. Learn how to describe ...

### reSolve: Probability

This sequence of four lessons explores probability in real world situations including advertising, games and population sampling. Students calculate probabilities, represent probabilities as fractions, decimals and percentages, perform chance experiments with small and large sample sizes and graph their results, examine ...

### Probability and the gambler's fallacy

Mathematician Lily Serna visits Luna Park to explain a great probability pitfall. She shares a century-old tale from Monte Carlo casino, and then she puts its lesson to the test. If you flip a coin and it lands on heads three times in a row, what result would you predict for the next flip? Find out why intuition might land ...

### Dice duels: find the bias [ESL]

A dice has been weighted (loaded) to favour one of the six numbers. Roll the dice to work out which is the favoured face. Explore how many rolls are needed to be reasonably sure of a conclusion. Look at demonstrations of the mathematical principles of bias. Compare the shape of theoretical data distributions with experimental ...

### Dice duels: load one dice [ESL]

Make biased dice. Weight (load) a dice to favour one of the six numbers. For example, load the number six so that it is twice as likely to come up than any other face (probability 2/7). Test ideas about bias by rolling a loaded dice. Look at demonstrations of the mathematical principles of bias. Compare the shape of theoretical ...

### reSolve: Probability - Rock Paper Scissors

In this sequence of two lessons, students determine their chances of winning the game 'rock paper scissors', then test their chances by playing against another player and in a simulated game. Students look at the psychological aspect of the game and recognise that there is a strategy to increase your chance of winning. ...

### Dice duels: fair or unfair?

Test dice to see if they have been weighted (loaded) to favour one of the six numbers. Explore how many rolls are needed for you to be reasonably sure of a conclusion. Compare the shape of theoretical data distributions with experimental results. This learning object is one in a series of 11 objects.

### Dice duels: go-kart race

Race go-karts along a track. Try to pick a winner before the races start. Roll a dice to determine which go-kart moves. Explore how many rolls are needed to complete a race. Work out the least and most rolls possible for two courses. Look at larger samples of race results. Compare the shape of theoretical data distributions ...

Move planes along numbered lanes on an airport runway. Add the numbers on a pair of dice to determine which plane takes off. Try to predict which lane is most likely to clear quickly. Explore how many rolls are needed to match a chosen number five times. Look at an explanation of uneven distributions. Compare the theoretical ...

### Spinner

This is an interactive resource that investigates experimental and theoretical probability based on a spinner. The student can select the number of segments on the spinner and simulate spinning the spinner with a mouse click. The outcome of each trial is recorded in a table along with a comparison between the cumulative ...

### Racing game with one die

This is an interactive game that investigates probability by simulating a two-car race, in which the movements of the cars are based on the roll of a die. Cars advance when certain numbers are rolled, and the student can experiment with probability by selecting which car moves forward for a given outcome of the roll of ...

### Spinners: basic builder

Use a tool to build coloured spinners (dials with pointers). Choose up to six equal-sized sectors. Choose up to four colours for the parts of each spinner. For example, make a three-part spinner with two blue sectors and one yellow sector. Test each spinner over a number of spins. See which colour the pointer lands on each ...

### Spinners: match up

Predict the results of testing coloured spinners (dials with pointers). Choose two spinners that are likely to generate similar results. For example, choose a four-part spinner with two blue sectors and two yellow sectors. Match it with an equivalent spinner divided into blue and yellow halves. Test the pair of spinners ...