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What do we teach in KS1 Maths? Number bonds from 10 and 20 ( ie 7+3=10, 18+2= 20) Basic multiplication ( 2,5,10) Basic division ( 2) Fractions ( ½ , ¼, 1/3 ) Addition and subtraction to 100 Place value ( units, tens and hundreds) Time ( o’clock, half past, quarter to, quarter past) Measurement ( weight, length, capacity) Money ( everyday money- calculating change) Problem solving Handling data ( graphs, tables, sorting data) Shape and space Today we will focus on multiplication and division Maths – when do we use it? 3 Division Division vocabulary share o share equally o divide o divided by o groups o halve o half o 5 Sharing objects Share these six biscuits between three teddies. How many biscuits does each teddy get? Linking with halving and quartering shapes Splitting into equal groups/parts ½ ¼ ¼ ¼ ¼ ½ Using tens and units to solve division problems 48 12 ÷ 4 = 3 48 ÷ 2 = 24 15 ÷ 3 = 5 Division as grouping Can you group these cookies into groups of 3? How much does each teddy get? Division as grouping – Repeated Addition +3 0 +3 3 15 ÷ 3 = 5 +3 6 +3 9 +3 12 15 Arrays as a tool for solving answers 18 ÷ 6 = 3 18 ÷ 3 = 6 Link with multiplication Remainders 13 ÷ 4 = 3r1 +4 0 +4 4 13 ÷ 4 = 3r1 +4 8 +1 12 13 So how can you work out a division calculation using times tables? Count in 2s until you get to 16. 2 4 6 8 10 12 14 16 13 Division using an empty number line How many groups of 5 are there in 25? 25 ÷ 5 = 5 5 0 5 5 5 10 5 15 5 20 25 14 Resources to help children with division ½ ½ Your turn! 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. 5 0 5 5 5 10 5 15 6 groups of 5 make 30. 5 20 5 25 30 So 6 teams. 16 Multiplication Multiplication Counting in 10s 18 Multiplication Counting in 2s 19 Multiplication Counting in 5s 20 Multiplication • Children 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. 21 • Multiplication Problem solving There are 10 pencils in a pack. How many pencils are there in 4 packs? Repeated addition 10 + 10 + 10 + 10 = 40 22 Multiplication 3 times 5 is the same as 5 + 5 + 5 = 15 or 3 lots of 5 or 3 x 5 On a number line 5 5 0 5 5 10 15 23 Multiplication Across the corridor and down the stairs! As an array 3 x 5 = 15 5 x 3 = 15 24 Problem solving 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? 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. Your turn! Can you draw pictures or make jottings to show how you could work one or both of these out? 25 Resources to help children with multiplication Practical maths Making maths practical by using real materials. Try some of these at home with your child. Using coins using food Using measuring cups cooking Useful websites http://www.familylearning.org.uk/multiplication_games.html http://www.ictgames.com/resources.html http://www.bbc.co.uk/bitesize/ks1/maths/ http://www.comberps.newtownards.ni.sch.uk/maths_games_for_ks1.htm http://www.maths-games.org/time-games.html http://www.bbc.co.uk/schools/websites/4_11/site/numeracy.shtml http://www.woodlands-junior.kent.sch.uk/maths/index.html 28