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AC9M6N03: Year 6 Mathematics Content Descriptor – Number
AC9M6N03 Year 6 Mathematics

AC9M6N03 – 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

apply knowledge of equivalence to compare, order and represent common fractions including halves, thirds and quarters on the same number line and justify their order

Elaborations

  • • applying factors and multiples to fraction denominators, such as halves with quarters, eighths and twelfths, and thirds with sixths, ninths and twelfths to determine equivalent representations of fractions in order to make comparisons
  • • representing fractions on the same number line, paying attention to relative position, and using this to explain relationships between denominators
  • • explaining equivalence and order between fractions using number lines, drawings and models
  • • comparing and ordering fractions by placing cards on a string line across the room and referring to benchmark fractions to justify their position; for example, \(\frac58\) is greater than \(\frac12\) can be written as \(\frac58>\frac12\), because half of \(8\) is \(4\); \(\frac16\) is less than \(\frac14\), because \(6 > 4\) and can be written \(\frac16\) < \(\frac14\)

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.