Estimate and use inverse operations to check answers to a calculation Solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why. Number multiplication and division – Children will learn Guidance Recall multiplication and division facts for multiplication tables up to 12 × 12 Pupils continue to practise recalling and using multiplication tables and related division facts to aid fluency. Use place value, known and derived facts to multiply and divide mentally, Pupils practise mental methods and extend this to three-digit numbers to including: multiplying by 0 and 1; dividing by 1; multiplying together three derive facts, (for example 600 3 = 200 can be derived from 2 x 3 = 6). ÷ numbers Pupils practise to become fluent in the formal written method of short Recognise and use factor pairs and commutativity in mental calculations multiplication and short division with exact answers Multiply two-digit and three-digit numbers by a one-digit number using formal Pupils statements about the equality of expressions (for example, use written layout the distributive law 39 × 7 = 30 × 7 + 9 × 7 and associative law (2 × 3) × 4 = 2 × (3 × 4)). They combine their knowledge of number facts and rules of Solve problems involving multiplying and adding, including using the distributive law to arithmetic to solve mental and written calculations for example, 2 x 6 x 5 = multiply two digit numbers by one digit, integer scaling problems and harder 10 x 6 = 60. correspondence problems such as n objects are connected to m objects. Pupils solve two-step problems in contexts, choosing the appropriate operation, working with increasingly harder numbers. This should include correspondence questions such as the numbers of choices of a meal on a menu, or three cakes shared equally between 10 children.
Estimate and use inverse operations to check answers to a calculation Solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why. Number – multiplication and division Children will learn Guidance Recall multiplication and division facts for multiplication tables up to 12 × 12 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 Recognise and use factor pairs and commutativity in mental calculations Multiply two-digit and three-digit numbers by a one-digit number using formal written layout Solve problems involving multiplying and adding, including using the distributive law to multiply two digit numbers by one digit, integer scaling problems and harder correspondence problems such as n objects are connected to m objects. Pupils continue to practise recalling and using multiplication tables and related division facts to aid fluency. Pupils practise mental methods and extend this to three-digit numbers to derive facts, (for example 600 ÷ 3 = 200 can be derived from 2 x 3 = 6). Pupils practise to become fluent in the formal written method of short multiplication and short division with exact answers Pupils statements about the equality of expressions (for example, use the distributive law 39 × 7 = 30 × 7 + 9 × 7 and associative law (2 × 3) × 4 = 2 × (3 × 4)). They combine their knowledge of number facts and rules of arithmetic to solve mental and written calculations for example, 2 x 6 x 5 = 10 x 6 = 60. Pupils solve two-step problems in contexts, choosing the appropriate operation, working with increasingly harder numbers. This should include correspondence questions such as the numbers of choices of a meal on a menu, or three cakes shared equally between 10 children.
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