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AC9M6N08: Year 6 Mathematics Content Descriptor – Number
AC9M6N08 Year 6 Mathematics

AC9M6N08 – Year 6 Mathematics: null

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Number
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Number

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

approximate numerical solutions to problems involving rational numbers and percentages, including financial contexts, using appropriate estimation strategies

Elaborations

  • • using familiar fractions, decimals and percentages to approximate calculations, such as, \(0.3\) of \(180\) is about a \(\frac13\) of \(180\) or \(52\)% is about a \(\frac12\)
  • • choosing appropriate estimation strategies including rounding to the nearest whole number, knowledge of multiples of \(2, 5\) or \(10\) and partitioning numbers in contexts such as measuring or cost per unit
  • • recognising the effect of rounding on calculations involving fractions or decimals and saying what numbers the answer will be between
  • • recognising the usefulness of estimation to check calculations for contexts such as dividing wood into a number of lengths, calculating cost per unit, reducing a recipe or dividing the cost of dinner for a group into individual amounts
  • • verifying solutions by estimating percentages in suitable contexts such as discounts using common percentages of \(10\)%, \(25\)%, \(30\)%, \(50\)% and \(1\)%
  • • investigating estimation strategies to make decisions about steam cooking in ground ovens by First Nations Australians, including catering for different numbers of people and resources needed for cooking

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.