Curriculum Objectives

• Add and subtract numbers mentally, including: three-digit number and ones; three-digit number and tens; three-digit number and hundreds
• Solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction
• Recognise, find and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators
• Find 1,000 more or less than a given number
• Add and subtract numbers with up to 4 digits using the formal written methods of columnar addition and subtraction where appropriate
• Use place value, known and derived facts to multiply and divide mentally, including: multiplying by 0 and 1; dividing by 1; multiplying together three numbers
• Multiply two-digit and three-digit numbers by a one-digit number using formal written layout
• Add and subtract numbers mentally with increasingly large numbers
• Add and subtract whole numbers with more than 4 digits, including using formal written methods (columnar addition and subtraction)
• Recognise and use square numbers and cube numbers, and the notation for squared (2) and cubed (3)
• Multiply and divide numbers mentally drawing upon known facts
• Multiply and divide whole numbers and those involving decimals by 10, 100 and 1,000
• Divide numbers up to 4 digits by a one-digit number using the formal written method of short division and interpret remainders appropriately for the context
• Multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams
• Solve problems involving number up to three decimal places
• Perform mental calculations, including with mixed operations and large numbers
• Multiply multi-digit numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplication
• Divide numbers up to 4 digits by a two-digit whole number using the formal written method of long division, and interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the context
• Solve problems involving addition, subtraction, multiplication and division
• Use their knowledge of the order of operations to carry out calculations involving the four operations
• Add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions
• Multiply simple pairs of proper fractions, writing the answer in its simplest form [for example, 1/4 × 1/2 = 1/8]
• Divide proper fractions by whole numbers [for example, 1/3 ÷ 2 = 1/6 ]
• Identify the value of each digit in numbers given to three decimal places and multiply and divide numbers by 10, 100 and 1,000 giving answers up to three decimal places
• Multiply one-digit numbers with up to two-decimal places by whole numbers
• Solve problems involving the calculation of percentages [for example, of measures, and such as 15% of 360] and the use of percentages for comparison

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