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AC9M6N02: Year 6 Mathematics Content Descriptor – Number
AC9M6N02 Year 6 Mathematics

AC9M6N02 – Year 6 Mathematics: null

Strand
Number
Substrand
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

identify and describe the properties of prime, composite and square numbers and use these properties to solve problems and simplify calculations

Elaborations

  • • using the definition of a prime number to explain why one is not a prime number
  • • testing numbers by using division to distinguish between prime and composite numbers, recording the results on a number chart to identify any patterns
  • • representing composite numbers as a product of their factors, including prime factors when necessary and using this form to simplify calculations involving multiplication such as \(15 \times 16\) as \(5 \times 3 \times 4 \times 4\) which can be rearranged to simplify calculation to \(5 \times 4 \times 3 \times 4 = 20 \times 12\)
  • • identifying and describing the product of a number with itself as square; for example, \(3 \times 3\) is the same as \(3^2\)
  • • using spreadsheets to list all the numbers that have up to \(3\) factors, using combinations of only the first \(3\) prime numbers, recognise any emerging patterns, making conjectures and experimenting with other combinations

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.