Recognising and making Arrays- showing Arrays Column Column Column equal groups. commutative multiplication- multiplication multiplication multiplication 2d × 1d using base introduced with Doubling 10 place value Abstract only but Abstract methods counters. might need a repeat (multi-digit up to 4 Counting in multiples of year 4 first(up to digits by a 2 digit Use cubes, Numicon and (2 and 3 digit 4 digit numbers number) other objects in the multiplied by 1 multiplied by 1 or 2 classroom digit) digits) Multiplication Sharing objects into groups Division as grouping Division with a Division with a Short division Short division remainder-using remainder Division as grouping e.g. I Division within lollipop sticks, times (up to 4 digits by a 1 Long division with have 12 sweets and put arrays- linking to tables facts and Short division (up digit number place value them in groups of 3, how multiplication repeated to 3 digits by 1 including counters many groups? subtraction. digit- concrete and remainders) (up to 4 digits by a 2 Repeated pictorial) digit number) Use cubes and draw round subtraction 2d divided by 1d Division 3 cubes at a time. using base 10 or Children should place value counters exchange into the tenths and hundredths column too
Multiplication Recognising and making equal groups. Doubling Counting in multiples Use cubes, Numicon and other objects in the classroom Arrays- showing commutative multiplication Arrays 2d × 1d using base 10 Column multiplication- introduced with place value counters. (2 and 3 digit multiplied by 1 digit) Column multiplication Abstract only but might need a repeat of year 4 first(up to 4 digit numbers multiplied by 1 or 2 digits) Column multiplication Abstract methods (multi-digit up to 4 digits by a 2 digit number) Division Sharing objects into groups Division as grouping e.g. I have 12 sweets and put them in groups of 3, how many groups? Use cubes and draw round 3 cubes at a time. Division as grouping Division within arrays- linking to multiplication Repeated subtraction Division with a remainder-using lollipop sticks, times tables facts and repeated subtraction. 2d divided by 1d using base 10 or place value counters Division with a remainder Short division (up to 3 digits by 1 digit- concrete and pictorial) Short division (up to 4 digits by a 1 digit number including remainders) Short division Long division with place value counters (up to 4 digits by a 2 digit number) Children should exchange into the tenths and hundredths column too