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Related topic
Mathematics / Year 6 / Number
Curriculum content descriptions
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 (AC9M6N07)
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
General capabilities
ScOT terms
Simple fractions, Calculators, Decimals, Percentages, Discounts (Price)