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Addition 4 Numbers with 1 or 2 decimal places Objectives Use knowledge of pairs of single-digit whole numbers to add multiples of 0.1, e.g. use 5 + 7 to find 0.5 + 0.7 Apply strategies used for adding pairs of whole numbers to adding numbers with one or two decimal places Use knowledge of pairs of numbers with one decimal place with a total of 1 to work out what needs to be added to make the next whole number Use knowledge of pairs of numbers with one decimal place with a total of 1 to work out what needs to be added to make 10 Use pairs to 10 and 100 to find what needs to be added to number with two decimal places to make a given whole number For this unit you will need: whiteboards, set of decimal cards (see resources), stopwatch or clock/watch with second hand, Bingo addition at http://www.topmarks.co.uk/Flash.aspx?f=bingoaddition, White elephant shop at http://www.crickweb.co.uk/ks2numeracy-money-andmean.html#Change_white_elephant Watch out for pupils who: have difficulty when the addition of numbers with two place decimals necessitates crossing through the next multiple of 1, e.g. add 0.7 and 0.5 and write 0.12; think that 0.64 goes with 1.44 for example to make the next whole as they look for both tenths and hundredths with a total of 10; try to keep all the steps in their head and lose track; encourage them to use jottings, modelling how to use these if necessary.. HSNP © Hamilton 2013 Stepping Up Term 2 Addition 4 Session 1 Objectives: Use knowledge of pairs of single-digit whole numbers to add multiples of 0.1, e.g. use 5 + 7 to find 0.5 + 0.7; Apply strategies used for adding whole numbers to adding numbers with one decimal place Teacher input with whole class Shuffle the set of decimal cards (see resources). Take two and ask pupils to find the total. Discuss how they can use addition facts of whole numbers to find the total, e.g. 5 + 7 = 12, so 0 5 + 0.7 = 1.2 (not 0.12!). Repeat showing pairs of cards, pupils write the total on their whiteboards. Paired pupil work Challenge pupils to work in pairs to write as many pairs of numbers with one decimal place, with a total of 1.2 as they can in 2 minutes. Teacher input with whole class Write the following additions on the board: 4.3 + 1.9, 6.3 + 2.3, 4.5 + 0.8, 9.4 + 2.7. Point to each in turn and ask pupils to discuss in pairs how they would find the total. Play Addition bingo at http://www.topmarks.co.uk/Flash.aspx?f=bingoaddition choose U.t + U.t. Pupils to choose five numbers to write on their whiteboards. Click ‘play’. Keep a record of the additions. Pupils work out the additions, ringing any answers they have on their whiteboards. The first to ring all five numbers wins. Go through the questions to check, ringing the answers on the screen. HSNP © Hamilton 2013 Stepping Up Term 2 Addition 4 Session 2 Objectives: Use knowledge of pairs of numbers with one decimal place with a total of 1 to work out what needs to be added to make the next whole number; Use knowledge of pairs of numbers with one decimal place with a total of 1 to work out what needs to be added to make 10 Teacher input with whole class Draw a four-by-three grid on the board. Write a number with one decimal place less than 10 in each space. Pupils copy the grid but as you write each number they write the decimal needed to make the next whole, e.g. you write 4.6, they write 0.4. 4.6 7.8 5.2 6.4 8.5 4.9 7.3 6.1 8.7 2.4 6.5 3.8 Check answers for each cell. Point to the first number, e.g. 4.6 and ask how much needs to be added to make 10. Draw out adding 0.4 to make 5, and then 5 to make 10, i.e. 5.4. Pupils re-draw the grid and this time write the number needed to make 10. Stress that they can work this out in two stages: 3.7 + 0.3 to make 4, then 6 to make 10. That’s 6.3. Check answers for each cell. Paired pupil work Challenge pupils to work in pairs to write as many pairs of numbers with one decimal place, with a total of 10 as they can in two minutes. Pairs swap with another pair to mark each other’s. Did anyone write more than 20 correct sums? HSNP © Hamilton 2013 Stepping Up Term 2 Addition 4 Session 3 Objective: Use pairs to 10 and 100 to find what needs to be added to number with two decimal places to make a given whole number Individual practice Pupils work in pairs to write at least five pairs of amounts of money with a total of £1, e.g. 65p + 35p. Teacher input with whole class Ask pupils to discuss how they could find the change from £5 having spent £3.57. Draw a jotting to show the steps. Individual practice Pupils to find the change from £5 for £3.69, £4.24 and £2.45. Teacher input with whole class Use White elephant shop at http://www.crickweb.co.uk/ks2numeracymoney-and-mean.html#Change_white_elephant. Click ‘hide/show total. Invite a pupil up to choose items such that the total is less than £10. Pupils work out the change on their whiteboards, drawing jottings if they find it helpful. (You can click on pay, and ask pupils to drag coins to show the change if they need this practice.) Click ‘reset’. Repeat several times. Reset and this time say that pupils can spend up to £20, then work out the change from a £20 note Stepping up Term 1 HSNP © Hamilton 2013 Addition 3