Division as Divide quantities into equal groups. Use a number line to show jumps in groups. The number 28 ÷ 7 = 4 grouping Use cubes, counters, objects or place of jumps equals the number of groups. value counters to aid understanding. Divide 28 into 7 groups. Think of the bar as a whole. Split it into the number of How many are in each groups you are dividing by and work out how many would group? be within each group. Division within Find the inverse of Link division to multiplication by Draw an array and use lines to split the array into groups multiplication and division arrays creating an array and thinking about the to make multiplication and division sentences. sentences by creating four number sentences that can be created. linking number sentences. Eg 15 ÷ 3 = 5 5 x 3 = 15 7 x 4 = 28 15 ÷ 5 = 3 3 x 5 = 15 4 x 7 = 28 28 ÷ 7 = 4 28 ÷ 4 = 7 Division with a 14 ÷ 3 = Jump forward in equal jumps on a number line then see Complete written divisions how many more you need to jump to find a remainder. and show the remainder Divide objects between groups and remainder using r. see how much is left over Draw dots and group them to divide an amount and clearly show a remainder.
Division as grouping Divide quantities into equal groups. Use cubes, counters, objects or place value counters to aid understanding. Use a number line to show jumps in groups. The number of jumps equals the number of groups. Think of the bar as a whole. Split it into the number of groups you are dividing by and work out how many would be within each group. 28 ÷ 7 = 4 Divide 28 into 7 groups. How many are in each group? Division within arrays Link division to multiplication by creating an array and thinking about the number sentences that can be created. Eg 15 ÷ 3 = 5 5 x 3 = 15 15 ÷ 5 = 3 3 x 5 = 15 Draw an array and use lines to split the array into groups to make multiplication and division sentences. Find the inverse of multiplication and division sentences by creating four linking number sentences. 7 x 4 = 28 4 x 7 = 28 28 ÷ 7 = 4 28 ÷ 4 = 7 Division with a remainder 14 ÷ 3 = Divide objects between groups and see how much is left over Jump forward in equal jumps on a number line then see how many more you need to jump to find a remainder. Draw dots and group them to divide an amount and clearly show a remainder. Complete written divisions and show the remainder using r.
Progression-in-Calculations.docx