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Number Addition Subtraction Multiplication Division.

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Presentation on theme: "Number Addition Subtraction Multiplication Division."— Presentation transcript:

1 Number Addition Subtraction Multiplication Division

2  Identify changes in maths in the 2014 Curriculum  Understand the calculation policy  Understand Mastery in primary maths  Helpful resources  Year group expected calculations  How parents and carers can support at home

3  The government has published a new primary maths curriculum (2014) for Key Stages 1 and 2  There's more to learn - quite a few topics that used to be in secondary maths have been moved forward - such as long division and a more complex understanding of fractions  Fractions are introduced earlier, multiplication tables up to 12x are expected by age 9 (End of Year 4)  There is an increased emphasis on practice. "So pupils develop the ability to recall and apply knowledge rapidly and accurately."  Calculators are out! - to be replaced by "mental fluency and the use of efficient written methods in the four mathematical operations“  Deepening learning to achieve Mastery in mathematical topics instead of progressing to the year above’s targets

4  In order to achieve the maths objectives, we have written a calculation policy which is followed by all teachers in all year groups  Policy has been updated so that it is inline with the maths curriculum (2014)  Outlines Year Group specific calculations for the four operations  Located on the school website for parents to use and is accompanied by calculation video examples

5  Mastery of maths means a deep, long-term, secure and adaptable understanding of the subject.  Increased understanding of the principles underpinning the mathematical processes being learnt  This greater degree of mathematical fluency will enable pupils to be more adept in tackling problem solving and reasoning tasks

6  Fluency (rapid and accurate recall and application of facts and concepts)  A growing confidence to reason mathematically  The ability to apply maths to solve problems, to conjecture and to test hypotheses.  Mastery of maths, which should build gradually as a child goes through school, is a tool for life, and immeasurably more valuable than the short term ability to answer questions in tests or exams.

7 Worksheet example:

8  Nrich  Mymaths  Topmarks  Year group specific calculation videos available on school website (under PARENT tab in MATHEMATICS SUPPORT folder)  BBCbitesize

9 KS2 Addition

10 Use expanded column addition to add two or three 3-digit numbers or three 2-digit numbers. Partition the number into tens and units and begin to calculate using vertical column method. Year 3 - Addition

11 Year 4 - Addition Column addition for 3-digit and 4-digit numbers Extend to decimals but only in the context of money. https://www.youtube.com/watch?v=316gOrHz b7M

12 Use column addition to add two or three whole numbers with up to 5 digits. Use column addition to add any pair of two-place decimal numbers including amounts of money. Revert to expanded methods if the children experience any difficulty. Extend to up to two places of decimals (same number of decimals places) and adding several numbers (with different numbers of digits). Year 5 - Addition

13 Use column addition to add numbers with up to 5 digits. Extend to numbers with any number of digits and decimals with 1, 2 and/or 3 decimal places. Year 6 - Addition

14 KS2 Subtraction

15 Partitioning and decomposition for subtracting pairs of up to three-digit numbers. Year 3 - Subtraction

16 Use expanded column subtraction for 3-digit and 4-digit numbers Year 4 - Subtraction

17 Use compact or expanded column subtraction to subtract numbers with up to 5 digits. Use complementary addition on a number line for subtractions where the larger number is a multiple or near multiple of 1000. Use compact column for subtractions of decimals with up to two places incl. amounts of money Choose the most efficient method in any given situation Year 5 - Subtraction https://www.youtube.com/watch?v=4G w9Pl5yhN0

18 Use compact column subtraction to subtract numbers with up to 6 digits. Use number line for subtractions where the larger number is a multiple or near multiple of 1000 or 10,000. Use column subtraction for subtractions of decimal numbers with up to three places including money. Year 6 - Subtraction

19 KS2 Multiplication Extended Method

20 Use partitioning (column multiplication) to multiply 2-digit and 3-digit numbers by single digit numbers https://www.youtube.com/watch ?v=GcwxPgKNwjI

21 Use an expanded vertical written method to multiply a one- digit by a 3-digit number. Use vertical method to multiply a 2-digit number by a number between 10 and 20 by partitioning.

22 Use short multiplication to multiply a 1-digit number by a number with up to 4 digits Use expanded vertical multiplication to multiply 3- digit and 4-digits by a number between 11 and 20

23 Use short multiplication to multiply a 1-digit number by a number with up to 4 digits Use expanded multiplication to multiply a 2-digit by a number with up to 4 digits

24 KS2 Division Short form division / Bus Stop Method Extended / Additive Chunking Method

25 Year 3 - Division Perform divisions just above the 10th multiple using a number line and how to give a remainder as a whole number. E.g. 72 ÷ 5 = 14 r 2

26 Year 4 - Division Chunking Method Use additive chunking method to divide a 2-digit or a 3-digit number by a single-digit number. Introduce ‘Coin Mathematics’ – this is a way in which the children calculate the ‘chunks’ that they will use when dividing (they link to the coin values 1p, 2p, 5p, 10p, 50p £1) Bus-Stop Method Use short division method to divide a 2-digit or 3-digit number by a single-digit number and express remainders.

27 Year 5 - Division Extended Additional Chunking. Use additive chunking division method to divide a number with up to 4 digits by a number less than 12. Use these coins to help with their calculations (HTU ÷ U and ThHTU ÷ U) using the ‘Additive Chunking’ method (division with remainders to be expressed as r, fractions and decimals). Bus Stop Method Use short division method to divide a 2-digit or 3-digit number by a single-digit number and express remainders as (r) and introduce remainders as fractions

28 Year 6 - Division Use short division to divide a number with up to 4 digits by a 1-digit or a 2-digit number express remainders as r, fractions and decimals. Use additive chunking to divide 3-digit and 4-digit numbers by 2-digit numbers. Coin Maths continued from previous years and additive chunking extended to ThHTU ÷ TU. Express remainders as remainders (r), fractions and/or decimals. https://www.youtube.com/watch? v=TvlI0d98sN0

29 Example questions using all of these methods can be found on the school website… http://www.calveleyprimary.cheshire.sch.uk/page/mathemati cs-support/20295

30 Help the children to complete their “mymaths” homework. Encourage children to practise their times tables – by counting up in steps of multiples and quick-fire testing. Show them different times tables games to play – “Hit the button” is a great website. Access the Maths tutorial videos to support children with consolidation of different calculations.

31 It's worth remembering that curriculum is not everything - the biggest influence on your child's learning will still be their teacher, the support they get at home and the school experience in general.

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