Numeracy Workshop

1. Numeracy Workshop 16th November 2011 Overview for Parents

2. By the end of lower school my child should be able to... • Number • Understand and use place value up to 1000 • Recognise negative numbers in contexts such as temperature • Use decimal numbers in contexts such as money • Use simple fractions and recognise equivalent fractions • Use mental recall of addition and subtraction facts to 20 in solving problems with larger numbers • Use mental recall of the 2,3,4,5 and 10 times tables and find the associated division facts • Add and subtract numbers with 2 digits mentally • Add and subtract numbers with 3 digits using written methods • Solve whole number problems involving multiplication or division, including those that give rise to remainders

3. By the end of lower school my child should be able to... • Shape, Space and Measure • Classify 3d and 2d shapes • Use symmetry with 2d shapes • Measure accurately and compare using standard units (g, kg, m, cm) • Convert units of measurements e.g.: cm to m. • Read time to the nearest minute on analogue and digital clocks • Use relationships between the units of time e.g.: seconds and minutes • Use a calendar and timetables • Use am and pm in a range of contexts (12 hour clock) • Recognise right angles

4. By the end of lower school my child should be able to... • Handling Data • Identify and interpret information in simple tables • Construct and interpret bar graphs and pictograms • Problem Solving (using and applying maths) • Try different approaches to problems • Organise work and check results • Discuss numeracy work and explain their thinking • Interpret maths symbols and diagrams.

5. Progress in Calculations Why is calculation so important? • Lies at the heart of numeracy • Mental method is emphasised • - Remembering number facts • - Using them to work out new facts • - Understanding the relationship between ‘the 4 rules’ • - Having a repertoire of mental strategies. • Written methods follow on • The following pages show progression in: • Addition • Subtraction • Multiplication • Division In these next pages you will find a progressive guide to teaching and learning calculations. It is important to remember that these steps will have been preceded by basic work in the infants school, which will have focused on practical numbering, ordering and pattern work. It is also important to remember that every child will progress at a different pace through the stages.

6. Use a number line to count, putting the biggest number first Addition Know and use number bonds to 10 and 20 2 + 8 = 10 20 + 80 = 100 200 + 800 = 1000 22 + 8 = 30

7. Addition Add 2 numbers that bridge 10 Add to the next 10 and then add the extra Adding 2 2-digit numbers (without bridging) 15 + 13 = + 10 + 3

8. Addition Add two 2 digit numbers 48 + 36 = Use a number line… Partition into tens and units

9. T U • + 8 • 30 + 6 • 80 + 4 • 10 TU 48 +36 84 1 Addition Add two 2 digit numbers Expanded Written Method 48 + 36 = Standard Written Method 48 + 36 =

10. Subtraction Know by heart subtraction facts for numbers up to 10 and 20 20 = 12 + 8 20 – 8 = 12 20 – 12 = 8 Subtract single digit numbers, bridging through the 10

11. Subtraction Begin to find the difference by counting up from the smallest number Subtract a 1 digit number from a two-digit number 45 – 1 =

12. Subtraction Subtract 10 from a 2 digit number 45 – 10 = Subtract multiples of 10 from any number 45 – 20 = Partition the number to be subtracted (no exchanging)

13. Subtraction Decide on whether to count on or count back 74 - 27 = 47 Partition the number to be subtracted (with exchanging) (Links back to counting back on a number line) 43 - 27 = 16

14. T U 40 + 3 - 20 + 7 30 10+ 6 Subtraction Subtracting 2 2-digit numbers Expanded Written Method 43 - 27 = 10 + Standard Written Method 43 – 27 =

15. Multiplication Know Multiplication Facts Know doubles and corresponding halves

16. Multiplication Understand multiplication as repeated addition Understand multiplication as an array

17. Multiplication Multiply multiples of 10 by units Use place value to support the multiplication of TU and U alongside the grid method

18. Division Understand division as sharing

19. Division Use known multiplication facts to work out division facts Reinforce division as grouping through the use of arrays and as repeated subtraction

20. Division Divide with remainders 15  4 = 15  4 = 3 r 3 Division by chunking 87  7 = 12 r 3 87 (10x7) Take out chunks of multiples of 10, 5 or 2. • 70 • 17 • 14 • 3 (2 x 7)

21. Shape, Space and Measure • Ideas for helping your child at home… • What shape is this? What shapes can you see? Find me something that is spherical / cone shape… • Cooking – weighing and measuring • Provide small mirrors to play with • What time is it? What time will it be in …. minutes? How long until tea? • Measuring carpet / rooms / objects • Buy a small compass – which direction are we travelling in? Can you tell me something that is North? South? Etc • Measuring jug in the bathroom • Building and measuring

22. Helping your child at home • With young children: • Sing number rhymes and songs such as: • 'One, two, buckle my shoe‘ • 'One two three four five, once I caught a fish alive‘ • 'Ten green bottles‘ • 'There were 10 in the bed' • Talk about: • How many knives and forks you will need to set the table? • How many people are in the queue at the supermarket check-out? • Which glass will hold the most orange juice? • Find numbers to add up e.g.: car number plates. • Play games like Snakes and Ladders that involve taking turns and using a dice and counters to move around a board • Look for numbers in books, on posters, in comics, on buses, cars and road signs • Talk about the shapes of things • With older children you can: • Talk about any maths work that they bring home from school • Ask them to help you when you are doing things with money, or measuring or weighing • Give them independence when buying things in a shop using coins and notes. Ask them how much change they expect to get. • Help them to learn their multiplication tables through chanting forwards and backwards, spot checking random tables. • Tell the time - begin with the quarter intervals and move on to 5 minute intervals and minute intervals. Ask them time related questions. • Use magazines to find out when a TV programme is on and set the DVD recorder • Look at the price of things in catalogues and work out if you can afford them • Weigh ingredients when you are cooking • Ask them to cut cakes / fruit and other food items into halves, quarters, thirds etc. • Use sweets to practise division e.g.: can you share these between the 3 of you? • Measure floors for carpets, walls for wallpaper and paint

23. Homework • Times tables are ongoing and there should be a focus times table that your child is learning. • Your child receives maths homework every other week. • Homework will have been explained to them by the class teacher. • Homework is always based on concepts covered in class. • Talk to your child about what they have been learning and ask them to give you an example. • Support your child to complete their homework following the instructions / method given. • Put a note on your child’s homework regarding the level of support given.

24. Useful Webites Topmarks http://www.topmarks.co.uk/EducationalGames.aspx?cat=15 BBC Bitesize http://www.bbc.co.uk/schools/ks1bitesize/numeracy/ http://www.bbc.co.uk/schools/ks2bitesize/maths/ Primary Games (Games will appear with ‘FOR EVAULATION ONLY across them but they are still useable) http://www.primarygames.co.uk/evalindex.html Woodlands Kent http://www.woodlands-junior.kent.sch.uk/maths/ CrickWeb http://www.crickweb.co.uk/ks2numeracy.html