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Counting Combinations
5 6 Pre & Primary Essentials Worksheets Mathematics Probability (Chance) 1 Page

Counting Combinations

Many of the probability games we play involve the probability of two dice, which is a concept that students can sometimes struggle with. This blends a bit of data with the activity, which should help students visualise why some outcomes have a higher probability.
This sheet is part of a larger unit plan written to move students from describing chance through words, to calculating probability with numbers through a presentation, rotation games, and worksheets.
 

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Learning goals

  • We are learning to identify and describe possible outcomes by conducting chance experiments and compare equally likely, e.g. names drawn randomly from a hat and not equally likely outcomes, e.g. bag of marbles containing 6 red and 2 blue.
  • We are learning to identify and describe possible outcomes by conducting chance experiments and represent probabilities of these using fractions.
  • We are learning to conduct chance experiments, including those with and without equally likely outcomes, record the outcomes and the number of times the outcomes occur and to describe the relative frequency of each outcome.
  • We are learning to recognise that probabilities range from 0 to 1.
  • We are learning to recognise that the probability of an event occurring can be represented using a scale of 0 – 1 or 0% - 100% to estimate chances of events.
  • We are learning to describe probabilities using fractions, decimals and percentages.
  • We are learning to conduct chance experiments to observe relationships between outcomes, identify and describe the variation in results.
  • We are learning to conduct chance experiments with an increasing number of trials and compare the relative frequency of an outcome.
  • We are learning to conduct chance experiments with both small and large numbers of trials.
  • We are learning to compare frequencies (likely outcomes) across experiments and to unexpected results.

Curriculum alignment

MA3-1WM old Describes and represents mathematical situations in a variety of ways using mathematical terminology and some conventions MA3-19SP old Conducts chance experiments and assigns probabilities as values between 0 and 1 to describe their outcomes MA3-3WM old Gives a valid reason for supporting one possible solution over another MA3-2WM old Selects and applies appropriate problem- solving strategies, including the use of digital technologies, in undertaking investigations MA3-CHAN-01 new Conducts chance experiments and quantifies the probability MA2-CHAN-01 new Records and compares the results of chance experiments
VCMSP204 Recognise that probabilities range from 0 to 1 VCMSP232 Describe probabilities using fractions, decimals and percentages VCMSP233 Conduct chance experiments with both small and large numbers of trials using appropriate digital technologies VCMSP234 Compare observed frequencies across experiments with expected frequencies VCMSP203 List outcomes of chance experiments involving equally likely outcomes and represent probabilities of those outcomes using fractions

Australian Curriculum covers QLD / SA / WA / NT / TAS / ACT.

Differentiation

Extensions

Get students to complete the graphing portion of the worksheet using spreadsheet software. This will also allow you to partially assess a data ACARA code (ACMPS119).

Teach it your way

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Linked resources & worksheets

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