Levels 5 and 6

Achievement Standard - Level 5 

By the end of Level 5 students are expected to be able to:

• Solve simple problems involving the four operations using a range of strategies including digital technology. 

• Estimate to check the reasonableness of answers and approximate answers by rounding. 

• Identify and describe factors and multiples. 

• Explain plans for simple budgets. 

• Order decimals and unit fractions and locate them on a number line. 

• Add and subtract fractions with the same denominator. 

• Find unknown quantities in number sentences and continue patterns by adding or subtracting fractions and decimals. 

Achievement Standard - Level 6

By the end of Level 6 students are expected to be able to:

• Recognise the properties of prime, composite, square and triangular numbers and determine sets of these numbers. 

• Solve problems that involve all four operations with whole numbers and describe the use of integers in everyday contexts. 

• Locate fractions and integers on a number line and connect fractions, decimals and percentages as different representations of the same number. 

• Solve problems involving the addition and subtraction of related fractions. 

• Calculate a simple fraction of a quantity and calculate common percentage discounts on sale items, with and without the use of digital technology.

• Make connections between the powers of 10 and the multiplication and division of decimals. 

• Add, subtract and multiply decimals and divide decimals where the result is rational. 

• Write number sentences using brackets and order of operations, and specify rules used to generate sequences involving whole numbers, fractions and decimals. 

• Use ordered pairs of integers to represent coordinates of points and locate a point in any one of the four quadrants on the Cartesian plane.