1. Mathematics Meeting for Parents of Reception & KS1 Children

2. EYFS  Needs to be practical  Informal  Embed numbers 1-10 initially (not the symbols)  What they actually are in jottings and drawing  Following on from 1-10, 10-20  Counting amounts from a larger amount

3. Early Learning Goal Children count reliably with numbers from one to 20, place them in order, say which number is one more or one less than a given number. Using quantities and objects, they add and subtract two single-digit numbers - count on or back to find the answer. They solve problems, including doubling, halving and sharing.

4. The new primary curriculum for Maths  Higher expectations overall – benchmarked against other nations  Conceptual development of number addressed in more detail  Fewer things in more depth  All pupils expected to build firm foundations to help become secondary ready

5. What do we teach in KS1?  Number bonds from 10 and 20 ( ie 7+3=10, 18+2= 20)  Basic multiplication ( x2,3,5,10)  Basic division ( ÷2,5,10)  Odds and Evens  Fractions ( ½, ¼, 1/3, 3/4)  Addition and subtraction to 100  Place value ( ones, tens and hundreds)  Time ( o’clock, half past, quarter to, quarter past)  Measurement ( mass, length, capacity, temperature)  Money ( everyday money- calculating change)  Problem solving  Handling data ( graphing, tables, sorting data)  Shape and space-symmetry

6. Year 1Year 2 Count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number Count in steps of 2, 3, and 5 from 0 and in tens from any number, forwards and backwards Count and read numbers to 100 in numeralsCompare and order numbers from 0 up to 100; use and = signs Count and write numbers to 100 in numeralsUse place value and number facts to solve problems Count in multiples of twos, fives and tens from 0Solve problems with addition and subtraction using concrete objects and pictorial representations, including those involving numbers, quantities and measures Identify one more and one less of a given numberSolve problems with addition/subtraction applying an increasing knowledge of written methods and mental methods where regrouping may be required Represent and use number bonds within 20Recall and use addition and subtraction facts to 20 fluently, and derive and use related facts up to 100 Represent and use subtraction facts within 20Recall and use multiplication and division facts for the 2, 5 and 10 multiplication tables, including recognising odd and even numbers Recognise, find and name a half as one of two equal parts of an object, shape or quantity Solve problems involving multiplication and division using concrete materials and mental methods Compare, describe and solve practical problems for lengths and heightsSolve problems involving multiplication and division, using arrays repeated addition and multiplication and division facts, including problems in contexts Compare, describe and solve practical problems for mass/weightRecognise, find, name and write fractions 1/3, ¼, 2/4, and ¾ of a length, shape, set of objects or quantity and demonstrate understanding that all parts must be equal parts of the whole Compare, describe and solve practical problems for capacity and volumeSolve simple problems in practical context involving addition and subtraction of money of the same unit, including giving change Compare, describe and solve practical problems for timeCompare and sort common 2D and 3D shapes and everyday objects describing similarities and differences Tell the time to the hour and half past the hour and draw the hands on a clock face to show these times Use mathematical vocabulary to describe position, direction and movement, including movement in a straight line and distinguishing between rotation as a turn and in terms of right angles for quarter, half and three quarter turns (clockwise and anti-clockwise) Recognise and name common 2D shapesAsk and answer questions about totalling and comparing categorical data Recognise and name common 3D shapes

7. Resources Number line Number square Counters Multi-link cubes Online games Place value cards

8. Addition and subtraction

9. Number lines  Adding 5 + 3 = 8  Step 1 start on the biggest number and count on in jumps.  Subtracting 18-4=  Step 1: start on the biggest number and count back in jumps.

10. Using a blank number line  34 + 25= 59 34 44 54 55 56 57 58 59 Step 1: partition 2 nd number (25 - 2 tens (20) and 5 units) Step 2: jump the 10’s ( 2 tens) Step 3: jump the units ( 5)

11. Addition and Subtraction a with number square  Adding 12 54 + 12= 66  Step 1 :Partition the number (one 10, two units) 10 & 2  Step 2: add on the 10 ( down 1)  Step 3 add on the units ( right 2)  Adding 10 go down 1  Subtracting 10 up 1  Adding 1go right 1  Subtracting 1 go left 1

12. Partitioning method  25 + 33= 58  Step 1: partition numbers (tens 20 + 30) (units 5+3)  Step 2: add up the Tens ( 20 + 30 = 50)  Step 3: add up the Units ( 5+ 3 = 8)  Step 4: add both (50 + 8= 58)

13. Multiplication and division

14. Using a number grid for patterns and multiplication

15. Multiplication  First recognise that multiplication is repeated addition  No of lots how many per group total 3 x 5 = 15  Is the same as 3 lots of 5 or 5 + 5 +5 = 15  Use pictorial cues to represent a x sum.  Encourage them to write the sum:  5 + 5 + 5 = 15

16. Arrays 4 x 6 or 6 x 4 24

17. Arrays Find ¼ of 24 24 ÷ 4 = 6

18. Moving from informal to formal methods  At every stage, teachers first use examples that children can easily do mentally.  Children then see how the steps in a written procedure link to what they do in their heads.  They then move to using numbers that cannot easily be dealt with mentally, including money.  Partitioning and place value are crucial.

19. Vocabulary GeneralAdditionSubtractionMultiplicationDivision Number sentence Add, adding Take away, minus Multiply, times Divide, dividing CalculationSumDifferenceRepeated addition Repeated subtraction PartitioningTotal, altogether Counting onHow many times, lots of Sharing, grouping Number lineCounting up Counting back ArrayRemainders Number bonds RoundingGrid methodChunking Is there any vocabulary you do not understand?

20. What is problem solving? Problem solving encourages the children to select and then apply appropriate mathematical skills  To select and apply strategies to solve problems in different contexts, checking results  To organise work, using the correct language, symbols and notation  To reason logically, look for patterns, make deductions and explain them.

21. Types of problem solving  Find all possibilities  Logic problems and puzzles  Find rules and describe patterns  Diagram problems and visual puzzles

22. Approaches to problem solving  Collaborative problem solving – in pairs or groups  Open ended tasks – low threshold, high outcome  Unfamiliar contexts – apply knowledge  Use manipulatives – create the problem physically  Use diagrams – draw the problem

23. Reasoning Children need to develop ways to express their mathematical thinking so that they can…  Explain  Instruct  Ask different kinds of questions  Receive, act and build upon answers  Analyse and solve problems  Speculate and imagine  Explore and evaluate ideas  Discuss  Argue, reason and justify  Negotiate

24. Vocabulary of reasoning  it could be …, because...  it can’t be..., because...  it won’t work, because …  if … then …  it would only work if …  so …  in that case … ...and phrases like: since, therefore, it will/won’t work when …

25. Sequence of reasoning  At first we thought  Then we realised  From what I remembered I tackled it like this  I had a problem with  We sorted it when  Other people might have thought  At one point I felt  We now feel that…  We could use our new thinking on problems like…

26. End of Key Stage 1 Assessments - SATs The children will have complete 2 mathematics papers:  Arithmetic  Mathematical Reasoning

29. Practical maths Making maths practical by using real materials. Try some of these at home with your child. Money Food Using measuring cups Cooking

30. Online games Children love games to engage their learning. Try some of these site links.