Day 1 Teaching
Display a given word problem. Children discuss in 2s what calculation is needed and solve it. Discuss the calculation required. Model vertical layout and short division. Decide whether to round up or down. Repeat with new problem.
-- Use base 10 equipment to support short division, and then decide where to round up or down to solve division problems.
-- Solve division problems, then use multiplication to check division.
-- Investigate dividing 9999 by any number from 2 to 12. Round the answer down to the nearest whole, then divide but the same number again and so on.
Day 2 Teaching
Model using short division for 1248 ÷ 5 and 6453 ÷ 6. Agree answer 249 r 3 and 1075 r 3. Ask children to write the exact answers, simplify fractions. Ask which of 2438 ÷ 3 and 5723 ÷ 4 has an answer > 1000. Model these divisions giving fractional answers.
Use the ‘Awesome Answers’ in-depth problem-solving investigation below as today’s group activity.
Or, use these activities:
-- Choose 3 or 4-digit numbers to divide by 5, 4, 6, 8 then 12 so as to give a mixed number answer.
Day 3 Teaching
Use short division to divide 3-digit numbers by 1-digit numbers. Show how we can write fraction parts of answers (e.g. ½ or ¾) as decimals, e.g. 23¾ as 23.75. Model with 4-digit numbers divided using short division.
-- Choose amounts of money between £100 and £1000 (whole number of pounds) to divide by 4, to give answers which are not whole numbers of pounds.
-- Choose amounts of money between £1000 and £5000 (whole number of pounds) to divide by 4 or 5, to give answers which are not whole numbers of pounds.
-- Write divisions with answers of the form □.5, □.25 and □.125.
Day 4 Teaching
Display some given word problems 1 at a time. Agree the calculation for each, solve it; discuss whether the answer needs to be rounded up or down OR (as in the last 2) answer needs to be exact with a fractional or decimal part.
-- Discuss which problems will need answers rounding up, rounding down, or exact answers.
-- Solve division problems, then make up division word problems with answers 254, 255, 254½, £254.50 and 254.5m.