AC9M6N07 Year 6 Mathematics

AC9M6N07 – Year 6 Mathematics: null

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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

solve problems that require finding a familiar fraction, decimal or percentage of a quantity, including percentage discounts, choosing efficient calculation strategies and using digital tools where appropriate

Elaborations

• explaining how \(\frac13\) of a quantity can be achieved by dividing by \(3\), and how knowledge of \(\frac13\) of a quantity can be used to find \(\frac23\) or \(\frac43\) of the same quantity using situations involving money, length, duration, mass or capacity
• investigating percentage discounts of \(15\)%, \(30\)% and \(45\)% in an online toy sale, using their equivalent decimal representations of \(0.15, 0.3\) and \(0.45\) to calculate the amount of discount on sale items, with and without digital tools
• linking percentages to their decimal equivalent of tenths and hundredths and using these to determine percentage discounts; for example, finding \(30\)% discount by using its equivalence to \(0.3\), dividing by \(10\) and multiplying the result by \(3\) to give \(30\)%
• explaining the equivalence between percentages and fractions; for example, \(33\frac13\)% and \(\frac13\); keeping to percentages that are equivalent to fractions with small denominators such as \(66\frac23\)% and \(12.5\)%
• representing a situation with a mathematical expression; for example, numbers and symbols such as \(\frac14\times24\), that involve finding a familiar fraction or percentage of a quantity; using mental strategies or a calculator and explaining the result in terms of the situation in question

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.