AC9M6N07 Year 6 Mathematics

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

• • Elaboration explaining how 1/3 of a quantity can be achieved by dividing by 3, and how knowledge of 1/3 of a quantity can be used to find 2/3 or 4/3 of the same quantity using situations involving money, length, duration, mass or capacity
• • Elaboration 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
• • Elaboration 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%
• • Elaboration explaining the equivalence between percentages and fractions; for example, 33 1/3% and 1/3; keeping to percentages that are equivalent to fractions with small denominators such as 66 2/3% and 12.5%
• • Elaboration representing a situation with a mathematical expression; for example, numbers and symbols such as 1/4\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