Carry below the line. Decomposition Continue to refine formal methods for TU x U, Children will continue to use written methods returning to the partitioning/grid method when to solve short division TU ÷ U and extend to necessary to reinforce understanding HTU ÷ U and and Short division HTU ÷ U 147 ÷ 7 When secure, extend to 4-digit numbers When secure, extend to 4-digit numbers Extend when ready to working with 3-digit 2 1 Children should: numbers HTU x U(Short multiplication 7 1 4 7 – be able to subtract numbers with different multiplication by a single digit) Using similar methods, children will: numbers of digits; add several numbers with different using this method, children should also Grid method Allow children to continue to look for efficient numbers of digits; begin to find the difference between two mental strategies, depending on the context begin to add two or more three-digit three-digit sums of money, with or and range of numbers sums of money, with or without without from the pence to 4 ‘adjustment’ adjustment from the pence to the the pounds; 346 x 9 Where necessary, return to the expanded pounds; know that decimal points should line up Children should approximate first (chunking) method to secure understanding 346 x 9 is approximately 350 x 10 = 3500 and then revisited short method of recording. know that the decimal points under each other. Year should line up under each other, particularly when adding or subtracting mixed amounts, e.g. £3.59 + 78p. Leading to: TOP TIP: ALWAYS present calculations TOP TIP: ALWAYS present calculations horizontally so that the child can consider the horizontally so that the child can best mental and/or written methods consider the best mental and/or written methods Key Resources/key vocabulary
Year 4 Carry below the line. and When secure, extend to 4-digit numbers Using similar methods, children will: add several numbers with different numbers of digits; begin to add two or more three-digit sums of money, with or without adjustment from the pence to the pounds; know that the decimal points should line up under each other, particularly when adding or subtracting mixed amounts, e.g. £3.59 + 78p. TOP TIP: ALWAYS present calculations horizontally so that the child can consider the best mental and/or written methods Decomposition and When secure, extend to 4-digit numbers Children should: be able to subtract numbers with different numbers of digits; using this method, children should also begin to find the difference between two three-digit sums of money, with or without ‘adjustment’ from the pence to the pounds; know that decimal points should line up under each other. TOP TIP: ALWAYS present calculations horizontally so that the child can consider the best mental and/or written methods Continue to refine formal methods for TU x U, returning to the partitioning/grid method when necessary to reinforce understanding Extend when ready to working with 3-digit numbers HTU x U(Short multiplication – multiplication by a single digit) Grid method 346 x 9 Children should approximate first 346 x 9 is approximately 350 x 10 = 3500 Leading to: Children will continue to use written methods to solve short division TU ÷ U and extend to HTU ÷ U Short division HTU ÷ U 147 ÷ 7 2 1 7 1 4 7 Allow children to continue to look for efficient mental strategies, depending on the context and range of numbers Where necessary, return to the expanded (chunking) method to secure understanding and then revisited short method of recording. Key Resources/key vocabulary