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DescriptorsMathematicsYear 6ProbabilityProbabilityAC9M6P01
AC9M6P01: Year 6 Mathematics Content Descriptor – Probability
AC9M6P01 Year 6 Mathematics

AC9M6P01 – Year 6 Mathematics: null

Strand
Probability
Substrand
Probability

This Content Descriptor from Year 6 Mathematics provides the specific knowledge and skills students should learn. Use it to plan lessons, create learning sequences, and design assessments that align with the Australian Curriculum v9.

Content Descriptor

recognise that probabilities lie on numerical scales of 0 – 1 or 0% – 100% and use estimation to assign probabilities that events occur in a given context, using common fractions, percentages and decimals

Elaborations

  • recognising that the probability of an event occurring can be represented numerically as either a number ranging from zero to one or a percentage from \(0\)% to \(100\)% where zero or \(0\)% means it won’t happen and one or \(100\)% means it is certain to happen
  • using a scale of zero to one or \(0\)% to \(100\)% to estimate chances of events
  • listing the different possible outcomes for rolling a dice and using a scale to locate the relative probability by considering the chance of more or less than for each possible event; for example, the probability of getting a number greater than \(4\)
  • recognising the language used to describe situations involving uncertainty, such as what it means to be lucky, a \(75\)% chance of rain or a \(1\)-in-\(100\) years flood
  • exploring how probabilities are used in artificial intelligence for machine learning and decision-making; for example, when choosing a video on a streaming service or travelling in a self-driving autonomous car, where artificial intelligence algorithms estimate the probability of a pedestrian crossing the road, which helps the autonomous car make decisions about when to stop or slow down
  • exploring First Nations Australian children’s instructive games, such as Weme from the Warlpiri Peoples of Central Australia, to investigate and assign probabilities that events will occur, indicating their estimated likelihood

Achievement Standard This Supports

This Content Descriptor contributes to the following Achievement Standard:

Year 6 ASMATY6
Year 6 Mathematics Achievement Standard
By the end of Year 6, students use integers to represent points on a number line and in the Cartesian plane. They solve problems using the properties of prime, composite and square numbers. Students order common fractions, giving reasons, and add and subtract fractions with related denominators. They use all 4 operations with decimals and connect decimal representations of measurements to the metric system. Students solve problems involving finding a fraction, decimal or percentage of a quantity and use estimation to find approximate solutions to problems involving rational numbers and percentages. They use mathematical modelling to solve financial and other practical problems involving percentages and rational numbers, formulating and solving the problem, and justifying choices. Students find unknown values in numerical equations involving combinations of arithmetic operations. They identify and explain rules used to create growing patterns. Students create and use algorithms to generate sets of numbers, using a rule. They interpret and use timetables. Students convert between common units of length, mass and capacity. They use the formula for the area of a rectangle and angle properties to solve problems. Students identify the parallel cross-section for right prisms. They create tessellating patterns using combinations of transformations. Students locate an ordered pair in any one of the 4 quadrants on the Cartesian plane. They compare distributions of discrete and continuous numerical and ordinal categorical data sets as part of their statistical investigations, using digital tools. Students critique arguments presented in the media based on statistics. They assign probabilities using common fractions, decimal and percentages. Students conduct simulations using digital tools, to generate and record the outcomes from many trials of a chance experiment. They compare observed frequencies to the expected frequencies of the outcomes of chance experiments.