Probability as a Fraction
This worksheet helps students consolidate their understanding of how to form fractions to describe mathematical probability.
This resource 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 β 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
AC9M6P01
9
Recognise that probabilities lie on numerical scales of 0 β 1 or 0% β 100% and use estimation to assign probabilities that events occur in a given context, using common fractions, percentages and decimals
AC9M5P02
9
Conduct repeated chance experiments including those with and without equally likely outcomes, observe and record the results ; use frequency to compare outcomes and estimate their likelihoods
AC9M4P02
9
Conduct repeated chance experiments to observe relationships between outcomes; identify and describe the variation in results
AC9M6P02
9
Conductβ―repeatedβ―chance experiments and run simulations with an increasing number of trials using digital tools; compare observations with expected results and discuss the effect on variation of increasing the number of trials
AC9M5P01
9
List the possible outcomes of chance experiments involving equally likely outcomes and compare to those which are not equally likely
ACMSP117
8.4
Recognise that probabilities range from 0 to 1
ACMSP116
8.4
List outcomes of Probability (Chance) experiments involving equally likely outcomes and represent probabilities of those outcomes using fractions
ACMSP144
8.4
Describe probabilities using fractions, decimals and percentages
ACMSP145
8.4
Conduct Probability (Chance) experiments with both small and large numbers of trials using appropriate digital technologies
ACMSP146
8.4
Compare observed frequencies across experiments with expected frequencies
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.
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