How your child learns Maths

1. How your child learns Maths Mastery Maths Workshop

2. What are the aims of the National Curriculum for Maths? • The National Curriculum for Maths aims to ensure that all pupils: • Become fluent in the fundamentals of Mathematics, including through varied and frequent practice with increasingly complex problems over time, so that pupils develop conceptual understanding and the ability to recall and apply knowledge quickly and accurately. • Reason mathematically, looking for links and generalisations and proof using correct mathematical language. • Solve problems by applying their number knowledge, breaking problems down into a series of small and simple steps, as well as persevering to seek solutions.

3. What do Key Stage 1 pupils need to know about Number and Place Value? • Compare and order numbers from 0 to 100 • Use place value and number facts (using +, -, x and divide) to solve problems • Use more than > and less than < signs correctly • Count in steps of 2, 3 and 5 from 0, and in tens from any number, forwards and backwards * Place value is the understanding of the value of each digit in numbers, eg. 26 is made from 2 tens (20) and 6 ones. This breaking down of numbers into tens and ones is called partitioning. Please note that we don’t use the term tens and units any more, we now say tens and ones.

4. What vocabulary do we use for each of the four operations?

5. How do we develop children’s fluency? • We practice counting in groups 2s, 5s and 10s (forwards and backwards). • In Year 2 we introduce counting in 3s and 4s, as well as 20s, 50s and 100s (this helps with reading scales) • We play games like Last Person Standing or Fizz Buzz to teach multiplication. • Use 100 squares and number lines to count on and subtract, or to spot patterns. • We add and subtract numbers in mental starters to warm up the children’s minds. If we use fingers (for single digits) we say, “Put the largest number in your head and count on (to add) or back (to subtract).” • We add the numbers of walks per day/ totals per week/ lunches/ attendance etc… • We sing songs to remember and recall number bonds to 20, doubles and halves, odds and evens, months of the years etc… • We use practical aids such as Numicon, cubes, hundreds, tens and ones apparatus (Diennes), dominoes, computer, board and card games.

6. What sort of practical aids do we use? Dominoes Numicon Diennes- 100s, 10s and 1s Playing cards

7. How do we teach the four number operations? The children and I will show you the strategies we use for: • Addition (100 square, number lines, bar models, tens and ones jottings, column method)) • Subtraction (100 square, number lines, bar models, tens and one jottings, column method) • Multiplication (100 square patterns, drawing arrays to show groups of, repeated addition) • Division (jottings to show groupings, repeated subtraction, inverse of multiplication, remainders)

8. How do we develop children’s reasoning skills? Investigations and problem solving activities can lead to the development of children’s reasoning skills. We ask children to explain how they work out answers, look for patterns and make generalisations based on their mathematical knowledge. Children often work in pairs or small groups to investigate.

9. How we develop children’s problem solving skills? We ask children to solve word problems in Maths lessons, Science and Topic lessons and at other times of the school day. For example, when we add up the tally marks for the daily walks to school and work out the running total. Or we ask how many more walks until we have 100? Children apply their number knowledge to real-life problems, such as: How many apples could I buy with 50p, if apples cost 5p each? If I buy 7 apples, how much change would I get from £1? Firstly the child highlights or underlines the numbers and any useful vocabulary. Also we teach children to draw jottings to show their working out and to write the calculation for each word problem.

10. What number songs do we learn to aid memory skills? Number bond song 1 and 9 are number bonds 2 and 8 are friends 3 and 7 4 and 6 5 and 5 are twins

11. The Doubles song 1+1 = 2 that’s really true 2+2 = 4 but never count more 3+3 = 6 so pick up 6 4+4 = 8 5+5 = 10 big strong men 6+6 = 12 so dig and delve 7+7 = 14 never be mean 8+8 = 16 9+9 =18 thanks for waiting 10+10 = 20 WOW! That’s plenty Now you know our clever doubles song, you can sing along

12. Odds and Evens Rhyme 1, 3, 5, 7, 9 These are odd numbers all in line. 2, 4, 6, 8, 10 Even numbers Sing it again…

13. Please feel free try out some of the activities with your child… • Can you partition numbers? • Can you add the pairs of numbers? • Can you work out the subtraction calculations? • Can you draw arrays to work out multiplication? • Can you divide using jottings? Remember we can use the word ‘calculation’ or ‘number sentence’ for all four number operations. Sum means you have multiplied!

14. Useful websites and games • www.hitthebutton • www.topmarks.co.uk • www.bbc.co.uk(look for KS 1 and 2 Maths) • www.woodlandsjuniormathszone • www.oxfordowl.co.uk • www.purplemash (Mathematics- 2Simple Table Toons is brilliant for developing knowledge of multiplication tables) Also card and board games such as Uno, Pontoon, Monopoly, Dominoes, Triominoes, Snakes and Ladders or just simple playing shops with money are great fun and educational.