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St Cyprians Primary Academy School
Maths Parents’ WorkshopYears 3, 4, 5, 6
13th March 2014
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How do you multiply and divide?
57 x 2 78 ÷ 2
43 x 50 742 ÷ 2
36 x 25 700 ÷ 4
18 x 15 65.5 10
8 x 19 17 ÷ 5
34 x 7 5.4 ÷ 6
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Multiplication vocabulary
o groups of o lots of o times tableo times o multiplied byo multiply o double
x
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76
x 8
5648
Mistakes children make:
67
x 54
268
335
603 101 r 5
7 847
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Multiplication – Grid method
47 x 8 = x 40 78 320 56 376
37 x 46 =x 30 7
40 1200 280 14806 180 42 222
1702
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TU x TU(Long multiplication – multiplication by more than a
single digit)72 x 38Children will approximate first72 x 38 is approximately 70 x 40 = 2800
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Using similar methods, they will be able to multiply decimals with one decimal place by a single digit number, approximating first. They should know that the decimal points line up under each other.e.g. 4.9 x 3Children will approximate first4.9 x 3 is approximately 5 x 3 = 15
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HTU x TU(Long multiplication – multiplication by more than a single digit)372 x 24Children will approximate first372 x 24 is approximately 400 x 25 = 10000
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Using similar methods, they will be able to multiply decimals with up to two decimal places by a single digit number and then two digit numbers, approximating first. They should know that the decimal points line up under each other.For example:4.92 x 3Children will approximate first4.92 x 3 is approximately 5 x 3 = 15
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How many legs do 36 spiders have?
82 x 43 =
34 x 3.72 =
Your turn!
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Division vocabulary
o share o share equally o divide o divided byo groupso halveo half
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DivisionIn Year 3 ...
Division using an empty number lineHow many groups of 5 are there in 25?25 ÷ 5 = 5
5 5 5 5 5
0 5 10 15 20 25
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Division in Year 4
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Chunking - We use repeated multiplication with numbers that we are confident with such as 10, 5 and 2.
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Integers are whole numbers (positive or negative), not fractions or percentages.
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Your turn!Try chunking with this division calculation.
144 ÷ 3144
- 30 114
- 30 84
- 30 54 - 30
24- 24
0
3x10
x10
x10
x10
x8
48
48
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Children need to be able to decide what to do after division and round up or down accordingly. They should make sensible decisions about rounding up or down after division.
This is needed when solving word problems eg
Kate needed 56 plastic cups for her party. They came in packs of 6. How many packs did she need?
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In Year 5 children will continue to use written methods to solve short division TU ÷ U.Children can start to subtract larger multiples of the divisor, e.g. 30xShort division HTU ÷ U
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Progression on to long division 972 ÷ 36
36) 972 - 720 252 -180 72 - 72 0
20 x
5x
2x
27
27
Answer
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Any remainders should be shown as fractions, i.e. if the children were dividing 32 by 10, the answer should be shown as 3 2/10 which could then be written as 3 1/5 in its lowest terms.
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Extend to decimals with up to two decimal places. Children should know that decimal points line up under each other.
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Written methods are to be used when calculations are too difficult to be done mentally.
These are some examples of calculations children should be able to do by the time of their KS2 SATs.
How many sevens are there in six hundred and thirty? KS2 2008 Mental test level 4
When a number is divided by seven, the answer is three remainder four. What is the number? KS2 2007 Mental test level 5
Calculate 848 ÷ 16. KS2 2006 Paper A level 5
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How you can support your child at home
Look for and talk about numbers in the environmentPlay gamesShopping and giving change.Number bonds for 10, 20, 100Doubles/HalvesTimes tablesMultiplication factsDivision factsPractise adding and subtracting mentally
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Useful websites for practising maths http://www.mathschamps.co.uk/index.php
http://www.math-drills.com/division.shtml
http://teachmykids.co.uk/free_resources/
http://www.bbc.co.uk/bitesize/ks2/maths/
http://www.mad4maths.com/kids/
http://resources.woodlands-junior.kent.sch.uk/maths/timestable/interactive.htm
http://www.bbc.co.uk/schools/websites/4_11/site/numeracy.shtmlhttp://www.funbrain.com/brain/MathBrain/MathBrain.html
http://www.channel4learning.com/index.html