Mathematics / Year 6 / Statistics and Probability / Chance

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Curriculum content descriptions

Compare observed frequencies across experiments with expected frequencies (ACMSP146)

Elaborations
  • predicting likely outcomes from a run of chance events and distinguishing these from surprising results
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Observations (Data),  Statistical frequency,  Expected frequency

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Year level 5-6
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Learning area Mathematics

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11 direct matches to ACMSP146

Tablet friendly (Interactive resource)

Mystery spinner: challenge

  • TLF-IDL2384

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 ...

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Interactive resource

Dice duels: bike race

  • TLF-IDL2637

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 ...

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Interactive resource

Mystery spinner

  • TLF-IDL2382

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 ...

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Text

Statistics games

  • TLF-IDM020720

This resource is a web page containing three dice games to explore chance. Each dice game has simple instructions to play the interactive strategy game. The games provide a useful way to investigate the chance of rolling a particular number after successive trials. This resource is one activity from the NRICH collection.

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Interactive resource

Mystery spinner: match the graph

  • TLF-IDL2383

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 ...

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Teacher resource

reSolve: Probability

  • TLF-IDM021056

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 ...

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Interactive resource

Dice duels: find the bias

  • TLF-IDL3673

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 ...

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Interactive resource

Dice duels: load one dice

  • TLF-IDL3671

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 ...

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Interactive resource

Dice duels: find the bias [ESL]

  • TLF-IDL10154

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 ...

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Interactive resource

Dice duels: load one dice [ESL]

  • TLF-IDL10152

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 ...

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Teacher resource

reSolve: Probability - Rock Paper Scissors

  • TLF-IDM025307

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. ...

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Interactive Resource

Racing game with one die

  • TLF-IDM012003

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 ...

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Interactive Resource

Spinner

  • TLF-IDM012004

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 ...

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Teacher resource

Mystery bag

  • TLF-IDR12165

In this mathematical activity, students make predictions about the contents of a mystery bag based on their own small sample. Students share information and reflect on and modify their predictions. Students choose a sample size they believe will be sufficient to make an accurate prediction and then check their predictions.

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Text

BBC Bitesize: relative frequency - revision

  • TLF-IDM010769

This is a set of illustrated information sheets that revise the concept of relative frequency in estimating the probability of an event occurring. Examples with answers are included and students have access to a multiple-choice test to assess their learning. This resource is one of a series of online resources from the ...

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Teacher resource

Primary mathematics: games, simulations and modelling

  • TLF-IDS4969

These seven learning activities, which focus on 'games, simulations and modelling' using a variety of tools (software) and devices (hardware), illustrate the ways in which content, pedagogy and technology can be successfully and effectively integrated in order to promote learning. In the activities, teachers use games, ...

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Teacher resource

Chances are - unit of work

  • TLF-IDR11478

This unit explores the mathematics of chance. Discover the language of chance and how it affects our decisions. Explore the notion of probability, and how we can influence this.

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Teacher resource

Make your own luck - unit of work

  • TLF-IDR11499

This unit explores the mathematics of chance, the notion of probability and how we can influence these factors.

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Mobile app

Taronga Zoo - Rainforest heroes: iPad app

  • TLF-IDM017703

This iPad app provides an experience of Taronga Zoo's stunning Wild Asia rainforest trail. Guided by volunteer researcher Heidi Greentree and a GPS map, students create a PDF field report using the photographs they have taken, observations made and information collected. This can be emailed for further research and discussion ...

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Teacher resource

TIMES Module 11: Statistics and Probability: chance, year 6 - teacher guide

  • TLF-IDM009045

This is a 17-page guide for teachers. It continues the development of probability. A careful consideration of outcomes and equally likely outcomes is undertaken. Experiments involving known probabilities are considered and what is observed is compared with what is expected. This is carried out with both small and large ...

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Teacher resource

Push your luck

  • TLF-IDM008984

This teaching resource outlines an introductory activity for students involving rolling two dice multiple times, adding the numerical value shown on the faces and recording the outcome using a tally sheet. The resource could be used by teachers to plan a class activity, or for students to carry out at home. The resource ...

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