Number

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Sample objectives

What this unit covers

• Structure and calculation: [Foundation and Higher] Calculate exactly with fractions and exact multiples of pi.
• Structure and calculation: [Higher only] Calculate exactly with surds, simplify surd expressions involving squares and rationalise denominators.
• Structure and calculation: [Foundation and Higher] Interpret calculator displays involving standard form.
• Structure and calculation: [Foundation and Higher] Calculate with and interpret standard form A x 10^n, where 1 <= A < 10 and n is an integer.
• Structure and calculation: [Foundation and Higher] Use place value with very large numbers, very small numbers and decimal calculations, including financial contexts.
• Structure and calculation: [Foundation and Higher] Apply the four operations to integers, decimals, simple fractions and mixed numbers, including positive and negative values.
• Structure and calculation: [Foundation and Higher] Apply conventional priority of operations using brackets, powers, roots and reciprocals.
• Structure and calculation: [Foundation and Higher] Use relationships between operations, including inverse operations, to simplify calculations and expressions.
• Structure and calculation: [Foundation and Higher] Use vocabulary and methods for primes, factors, multiples, common factors, common multiples, HCF, LCM and prime factorisation.
• Structure and calculation: [Foundation and Higher] Write products of prime factors using index notation and apply the uniqueness of prime factorisation.
• Structure and calculation: [Higher only] Use the product rule for counting where the specification requires it.
• Structure and calculation: [Foundation and Higher] Apply systematic listing strategies using lists, tables and diagrams.
• Structure and calculation: [Foundation and Higher] Use positive integer powers and associated roots, including square, cube and higher roots.
• Structure and calculation: [Foundation and Higher] Recognise powers of 2, 3, 4 and 5 and estimate powers and roots of positive numbers.
• Structure and calculation: [Higher only] Calculate with fractional indices.
• Structure and calculation: [Foundation and Higher] Calculate with roots and integer indices.
• Structure and calculation: [Foundation and Higher] Order positive and negative integers, decimals and fractions and use =, !=, <, >, <= and >= correctly.
• Fractions, decimals and percentages: [Higher only] Convert recurring decimals to their corresponding fractions and convert fractions to recurring decimals.
• Fractions, decimals and percentages: [Foundation and Higher] Work interchangeably with terminating decimals and their corresponding fractions.
• Fractions, decimals and percentages: [Foundation and Higher] Identify and work with fractions in ratio problems.
• Fractions, decimals and percentages: [Foundation and Higher] Interpret fractions and percentages as operators, including percentage multipliers.
• Measures and accuracy: [Foundation and Higher] Estimate answers and check calculations using approximation and estimation, including answers obtained using technology.
• Measures and accuracy: [Foundation and Higher] Round numbers and measures to an appropriate degree of accuracy.
• Measures and accuracy: [Foundation and Higher] Use inequality notation to specify simple error intervals caused by truncation or rounding.
• Measures and accuracy: [Higher only] Apply and interpret limits of accuracy, including upper and lower bounds.
• Measures and accuracy: [Foundation and Higher] Use standard units of mass, length, time, money and other measures, including compound measures, with decimal quantities where appropriate.
• Measures and accuracy: [Foundation and Higher] Use metric conversion factors for length, area, volume and capacity when required.