1. East Boldon Junior School Progression in Numeracy At East Boldon Junior School, we have developed a consistent approach to the teaching of calculation methods in order to establish continuity and progression throughout the school. A M Bowes Progression in Numeracy

2. The Processes of Calculation The ability to calculate mentally forms the basis of all methods of calculation and has to be maintained and refined. It requires an understanding of number patterns and relationships developed through directed enquiry and play, use of models and images and the application of acquired number knowledge and skills. As children’s mental methods are strengthened and refined, so too are their informal written methods. These methods become more efficient and succinct and lead to efficient written methods that can be used more generally. A M Bowes Progression in Numeracy

3. General Progression: To develop mental methods, based on a good understanding of place value. Ensure that children have access to and are encouraged to use practical apparatus to aid understanding and consolidation of all concepts. Develop use of empty number line to help mental imagery and aid recording. Use of informal jottings to aid mental calculations. Use partitioning and recombining to aid informal methods Introduce expanded written methods. Develop expanded methods into compact standard written form. A M Bowes Progression in Numeracy

4. Mental Addition A M Bowes Progression in Numeracy

5. Written Addition A M Bowes Progression in Numeracy

6. Mental Subtraction A M Bowes Progression in Numeracy

7. Written Subtraction A M Bowes Progression in Numeracy

8. Mental Multiplication A M Bowes Progression in Numeracy

9. Written Multiplication A M Bowes Progression in Numeracy

10. Mental Division A M Bowes Progression in Numeracy

11. Written Division A M Bowes Progression in Numeracy

12. To summarise: Essentials you can help your child with- Y3 Know number bonds to 20 Know pairs of multiples of 10 with a total of 100 Know by heart all the multiplication facts in the 2x, 3x, 4x, 5x, 8x and 10x tables Multiply whole numbers by 10 and 100 Double numbers up to 50 Know by heart all the division facts derived from the 2x, 3x, 4x, 5x, 8x and 10x tables. Divide whole numbers by 10 or 100 to give whole number answers Halve even numbers to 100, halve odd numbers to 20 A M Bowes Progression in Numeracy

13. Essentials you can help your child with- Y4 Know by heart/quickly derive number bonds to 100 and to £1 Know by heart all the multiplication facts up to 12 x 12. Find doubles to double 100 and beyond using partitioning Begin to double amounts of money. (E.g. £35.60 doubled = £71.20.) Subtract £1, 10p, 1p from amounts of money Find change from £10, £20 and £50. Multiply whole numbers and one-place decimals by 10, 100, 1000 Know by heart all the division facts up to 144 ÷ 12. Divide whole numbers by 10, 100 to give whole number answers or answers with one decimal place Find halves of even numbers to 200 and beyond using partitioning Begin to halve amounts of money. (E.g. Half of £52.40 = £26.20) A M Bowes Progression in Numeracy

14. Useful Resources ** Sumdog http://www.sumdog.com/http://www.sumdog.com/ ** Education City http://www.educationcity.com/ ** Woodlands Junior School Mathszone http://resources.woodlands-junior.kent.sch.uk/maths/ Maths Zone < Mathszone - Maths Games for LearningMaths Zone < Mathszone - Maths Games for Learning www.coolmath4kids.com Cool Math 4 Kids Lessons, Games, Activities - free online cool math... Welcome to Math Playground www.mathplayground.com/Welcome to Math Playgroundwww.mathplayground.com/ http://www.bbc.co.uk/bitesize/ks2/maths/ Halves and Doubles http://www.wmnet.org.uk/resources/gordon/Hit%20the%20button%20v9.swf Maths magician http://www.oswego.org/ocsd-web/games/mathmagician/cathymath.html www.ipadineducation.ianwilson.biz/‎ http://www.cgpbooks.co.uk/

15. Thank you for listening Mrs A M Bowes Numeracy Co-ordinator A M Bowes Progression in Numeracy