Understand that multiplication is commutative and use this to solve a problem by changing the order of to solve a mix e.g. 19 x 3 = (10 x 3) + (9x 3) the factors. of calculations = 30 + 27 in the form of = 57 equations and word problems children e.g. 3 x 18 = choose the strategy from * and ** e.g. 268 x 8 = (200 x 8) + (60 x 8) + (8 x 8) = and discuss = 1,600 + 480 + 64 confidently the = 2,144 most efficient method chosen. a known fact to derive a new fact, e.g. use their ten times facts to work out the 9 times table 8 x 9 is the same as 9 x 8. This is just 10 x 8 1 x 8 = 80 8 = 72 – – 46 x 9 is the same as 9 x 46. So 10 x 46 1 x 46 = 460 46 = 414 – – 68 x 9 is the same as 9 x 68. So 10 x 68 1 x 68 = 680 68 = 612 – – * ** *** Progress will be evident when pupils can: Progress will be evident when pupils can: Progress will be evident when pupils can: Strategies to Mentally solve Multiplication and Division Problems Strategies to Mentally Multiplication and Division Problems
to solve a mix of calculations in the form of equations and word problems children choose the strategy from * and ** and discuss confidently the most efficient method chosen. e.g. 19 x 3 = (10 x 3) + (9x 3) = 30 + 27 = 57 e.g. 3 x 18 = e.g. 268 x 8 = (200 x 8) + (60 x 8) + (8 x 8) = = 1,600 + 480 + 64 = 2,144 Understand that multiplication is commutative and use this to solve a problem by changing the order of the factors. a known fact to derive a new fact, e.g. use their ten times facts to work out the 9 times table 8 x 9 is the same as 9 x 8. This is just 10 x 8 – 1 x 8 = 80 – 8 = 72 46 x 9 is the same as 9 x 46. So 10 x 46 – 1 x 46 = 460 – 46 = 414 68 x 9 is the same as 9 x 68. So 10 x 68 – 1 x 68 = 680 – 68 = 612 * Progress will be evident when pupils can: ** Progress will be evident when pupils can: *** Progress will be evident when pupils can: Strategies to Mentally solve Multiplication and Division Problems Strategies to Mentally Multiplication and Division Problems
Numeracy-Progression-1l3ayk6.docx