Written methods for Division Mathematical explanation and discussion and the using and applying of skills are to be built into the learning connected with this target Year Target Group Target Key Resources / Models and Images Outcomes YR Should Share up to 10 objects into equal groups and count how many in each group I can begin to share a small number of objects equally with my friends and count how many each one has. Counters Grapes Toy cars Cubes etc. Most pupils will be able to: I have 6 scones and 2 plates. How many scones will there be on each plate? Encourage children to record what they have done by drawing or tallying Share up to 10 objects into equal groups and count how many in each group I can begin to share a small number of objects equally with my friends and count how many each one has Sweets Biscuits Grapes etc. Most pupils will be able to: Use practical resources to divide by 2, 5 and 10 Solve practical problems that involve sharing into equal groups of 2, 5 or 10. I can share up to 20 objects equally between 2, 5 or 10 people Represent sharing and repeated subtraction (grouping) as division. Use practical and informal written methods to support division, including calculations with remainders. Use the symbols ÷ and = to record number sentences I share or group to divide. I can record my answer in pictures, on a number line or as a number sentence. I know there will sometimes be a remainder when dividing. Counters Cubes Solve practical problems that involve sharing into equal groups of 2, 5 or 10. I can share up to 20 objects equally between 2, 5 or 10 people Sweets, biscuits Grapes etc. Counters Cubes ITP Number grid ITP counting ITP Grouping Pairs of socks/shoes Money (2p, 5p and 10p coins) Eggs in egg boxes Laminated number lines +pens Beads strings 0 – 20 or 0-100 0 – 100 Bead Bar Yr 1 Must Should Could ITP Number Facts ITP counting Laminated number tracks + pens Draw pictures of division calculations E.g. Millie had 6 toffees, she gave half to her friend. How many toffees did she have? Can you put 20 animals into groups of 5? How many groups? Can you arrange 20 counters into equal rows? Is there a different way? Yr 2 Must Should Could Represent sharing and repeated subtraction (grouping) as division. Use practical and informal written methods to support division, including calculations with remainders. Use the symbols ÷ and = to record number sentences I share or group to divide. I can record my answer in pictures, on a number line or as a number sentence. I know there will sometimes be a remainder when dividing. Use practical and informal written methods to divide two digit numbers by a single digit number; round remainders up or down depending on the context. I can divide a two-digit number by a one-digit number using a number line I can decide whether to round up or down when there is a remainder Most pupils will be able to: Solve 18 2 as: Sharing: 18 sweets are shared between 2 people. How many do they have each? Grouping: There are 18 sweets. How many people can have 2 each? (How many 2s make 18?) (record as jumps on a number line) Solve calculations such as 17 5 = 3 r 2 by recording jumps on a number line. How would you find how many teams of 5 can be made by 32 children? What about teams of 4 with 32 children? Written methods for Division Mathematical explanation and discussion and the using and applying of skills are to be built into the learning connected with this target Year Target Group Target Key Resources / Models and Images Outcomes Yr 3 Must Should Could Represent sharing and repeated subtraction (grouping) as division. Use practical and informal written methods to support division, including calculations with remainders. Use the symbols ÷ and = to record number sentences I share or group to divide. I can record my answer in pictures, on a number line or as a number sentence. I know there will sometimes be a remainder when dividing. Use practical and informal written methods to divide two digit numbers by a single digit number; round remainders up or down depending on the context. I can divide a two-digit number by a one-digit number using a number line I can decide whether to round up or down when there is a remainder Develop and use written methods to divide a two digit number by a single digit, including division with remainders I can divide a two-digit number by a one-digit number using a written method If there is a remainder when I divide, I can work out whether to round the answer up or down. Sweets Biscuits Grapes Counters Cubes etc. ITP Number grid ITP Grouping ITP counting ITP remainders Pairs of socks/shoes Money Eggs in egg boxes Laminated number lines +pens Bead strings Most pupils will be able to: Solve 26 ÷ 3 = 8 r2 Buns are packs in boxes of 4. If there are 37 buns, how many complete boxes are there? 32 children are going on a school trip. 3 children can travel in each car. How many cars are needed? Show how to record 47 5 = 9 r 2 using a number line. Yr 4 Must Should Could Use practical and informal written methods to divide two digit numbers by a single digit number; round remainders up or down depending on the context. I can divide a two-digit number by a one-digit number using a number line I can decide whether to round up or down when there is a remainder Develop and use written methods to divide a two digit number by a single digit, including division with remainders I can divide a two-digit number by a one-digit number using a written method If there is a remainder when I divide, I can work out whether to round the answer up or down. Refine and use efficient written methods to divide a three digit number by a single digit. I can divide a three-digit number by a one-digit number If there is a remainder when I divide, I can work out whether to round the answer up or down Counters, cubes and other objects to group or share. Most pupils will be able to: Solve: 72 5 using a written method: ITP Number grid ITP Grouping ITP remainders Money Eggs in egg boxes Laminated empty number lines + pens 72 50 22 20 2 (10 x 5) (4 x 5) Answer : 14 remainder 2 75 ÷ 4 75 40 (10 x 4) 35 - 32 (8 x 4) 3 Answer: 18 remainder 3 Can you think of a question for which 75 ÷ 4 = 19 (round up) and one for which the answer is 18 (round down) Written methods for Division Mathematical explanation and discussion and the using and applying of skills are to be built into the learning connected with this target Year Target Group Target Key Resources / Models and Images Outcomes Yr 5 Must Should Could Develop and use written methods to divide a two digit number by a single digit, including division with remainders I can divide a two-digit number by a one-digit number using a written method If there is a remainder when I divide, I can work out whether to round the answer up or down. Refine and use efficient written methods to divide a three digit number by a single digit. I can divide a three-digit number by a one-digit number If there is a remainder when I divide, I can work out whether to round the answer up or down Use efficient written methods divide integers and decimals by a one digit number I can use efficient written methods to divide integers by a one or two digit number I can divide numbers with one decimal place by one digit number. 0-100 bead strings Objects to either group or share. Whiteboards + pens Most pupils will be able to: Estimate and solve: 256 ÷ 7 lies between 210 7 = 30 and 280 7 = 40 256 70 (10 x 7) 186 140 (20 x 7) 46 42 (6 x 7) 4 Answer: 36 remainder 4 0-100 Bead bar for modelling the quotient as a fraction. Yr 6 Must Should Could Refine and use efficient written methods to divide a three digit number by a single digit. I can divide a three-digit number by a one-digit number If there is a remainder when I divide, I can work out whether to round the answer up or down Use efficient written methods divide integers and decimals by a one digit number I can use efficient written methods to divide integers by a one or two digit number I can divide numbers with one decimal place by one digit number. Extend division to dividing three digit integers by two digit integers. Divide decimal numbers efficiently I can use efficient written methods to divide three digit number by two digit numbers. I can divide decimal numbers efficiently. Whiteboards + pens Most pupils will be able to: Estimate and solve: 977 ÷ 36 977 360 (10 x 36) 617 360 (10 x 36) refine 257 to - 180 (5 x 36) 77 72 (2 x 36) 5 977 720 257 180 77 72 5 (20 x 36) (5 x 36) (2 x 36) Answer: 27 5/36 676÷8, 245 ÷ 9 , 334 ÷ 15 Use a written method to solve: 87.5 ÷ 7 109.6 ÷ 8 239.22 ÷ 6