AC9M6N07 Year 6 Mathematics

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.

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

• 1 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
• 2 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
• 3 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 \(30\)%
• 4 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 \(12.5\)%
• 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

Related Achievement Standards