6 + Addition Adding practically using objects or pictures. Encourage your child to put the larger number in their head and count on. They can use their fingers to do the counting on if they need to.7 + 5 = 12
8 Counting on using a number line AdditionCounting on using a number lineCounting on 4 from zeroCounting on 4 from 5. Make sure you emphasise counting the jumps. (Not the numbers.)
9 Addition 5 Using an empty number line to count on in 1s. 5 9 10 Start at zero, jump on 5 then jump on 4.5910Start on 5 then jump on 4.
10 Addition Using a hundred square to count on and back in 1s and 10s. We encourage children to do this practically with the hundred square and then using a mental image.
11 2 2 4 4 Place value Different value Same number 2 tens 2units 4 units
12 Place valueThis is a ten stick – it is made up of 10 cubes joined together.This is a unit or one. It is one cube on its own.
13 Place valueWhat number do these make?3 tens and 4 units = 34
14 Start on any number Addition 32 + 6 = 38 25 + 40 = 65 Need to understand place value – the 4 in 40 means 4 tens. So you move down 4 squares in the column to add 40.
15 Number bondsKnowing pairs of numbers that make 10 and then 20 is really important.Year 1 children need to know number bonds for 10 by the end of the year. Then move onto bonds for 20.10 + 0, 9 + 1, 8 + 2, 7 + 3, 6 + 4, 5 + 5, 4 + 6, 3 + 7, 2 + 8, 1 + 9,Game – Ping pong.
16 Partitioning Partitioning is splitting a number into different parts. So we teach children to partition into tens and ones (units).18 = = =This is the beginning of understanding place value –The 1 in 18 means 1 ten, the 2 in 27 means 2 tens.
17 AdditionOnce children can partition, they can use this knowledge to add using an empty number line.=29Step 12924=39Step 2+ 10343924
18 Your turn! Use an empty number line to do this calculation 36 + 23 = 59+10+1036465659
19 Next step is to become more efficient by adding the units in one jump. And then add the tens in one jump= 57+20+3345457
20 Bridging through 10 or a multiple of 10 can help children become more efficient.
21 Your turn!=Remember to start from the larger number.
22 Your turn! 37 + 56 = 93 Remember to start from the larger number. + 30 +4+386909356
23 Addition in Year 3Year 3 children continue to use empty number lines to support addition. They will start to add 2 digit numbers that bridge 100, and then 3 digit numbers.They also are taught to use an empty number line to help them compensate for numbers that are near multiples of 10=49 is 1 less than is a much easier number to add than 49. So first add 50. Then subtract 1.+5012273-1123
25 Year 3 Addition 67 267 + 24 + 85 11 ( 7 + 4) 12 ( 7 + 5) Adding the least significant digits first. (Units in these calculations). In Year 2 tens were added first.Vertical (column) addition is a change from Year 2 where calculations were horizontal.Mental strategies still more important – add hundreds or tens first.No ‘carrying’ in this method – children need to understand what they are adding; units, tens or hundreds and this method makes it explicit.( ) ( )80 ( ) ( )352
43 MultiplicationChildren need to learn multiplication tables and multiplication facts.Yes – learn to recite tables but also need to know table facts at random.e.g. 8 lots of ten are?And answer questions like “ How many tens in 80?”Not secure in times tables until able to do this quickly.Should be working on 10x, 2x and 5x tables in Year 1, continue and work on 3x and 4x in Year 2. Secure in Year 3.
44 Multiplication Repeated addition 10 + 10 + 10 + 10 = 40 Problem solvingThere are 10 pencils in a pack.How many pencils are there in 4 packs?Repeated addition= 40
45 Multiplication3 times 5 is the same as = 15 or 3 lots of 5 or 3 x 5On a number line55551015
47 Problem solvingThere are 15 apples in a tray. Ling has 4 trays of apples.How many apples does Ling have altogether? Show how you work it out.Ella’s dad washes some cars. He uses 12 buckets of water. Each bucket has 5 litres of water. How many litres of water does he use altogether?Your turn! Can you draw pictures or make jottings to show how you couldwork one or both of these out?
48 Ella’s dad washes some cars. He uses 12 buckets of water Ella’s dad washes some cars. He uses 12 buckets of water. Each bucket has 5 litres of water. How many litres of water does he use altogether?Or = 60Or count in 5s 12 times. Or 12 x 5 =60
49 There are 15 apples in a tray. Ling has 4 trays of apples. How many apples does Ling have altogether? Show how you work it out.151415151514151514151514151515154 lots of4 lots of= 60
50 Multiplication – Year 3Partitioning38 x 5 = (30 x 5) + (8 x 5)== 190
51 Division vocabulary share equally divide divided by groups halve half
52 DivisionChildren start by understanding equal groups and sharing items out in play and problem solving. Count in 2s, 10s and 5s.Sharing equally. There are 6 sweets. How many sweets can 3 children have each?
53 Grouping There are 6 sweets. How many children can have 2 each? Division
54 2 4 6 8 10 12 14 16 Count in 2s until you get to 16. So how can you work out a division sum using times tables?Count in 2s until you get to 16.
55 Division using an empty number line How many groups of 5 are there in 25?25 ÷ 5 = 5
56 Your turn! 6 groups of 5 make 30. So 6 teams. There are 30 children in the class. They need to be in teams of 5. How many teams will there be? Use an empty number line to work it out.6 groups of 5 make So 6 teams.
57 How you can support your child at home Look for and talk about numbers in the environmentPlay gamesShoppingCounting on/backNumber bondsDoubles/HalvesTimes tablesMultiplication factsDivision facts