Burlish Park Primary Calculation workshops Autumn 2016 Learning goals: To share our written calculation methods. To explain and show how we approach this in school. To let you try them out.

How many tigers can you see?

Maths mind-set – Youcubed week It’s not true that some people are good at maths and some people are not. Anyone can get to the highest level in maths. Everyone is a maths person. When you learn something your brain grows. When you make a mistake you learn and your brain grows. The more we work the brain the more it grows.

Can I do this in my head?

Do I need to use jottings?

Do I need an expanded or a compact method?

Do I need a calculator?

Place value knowledge is essential for a lot of calculation methods! Knowing the value and meaning of Thousands, Hundreds, Tens and Ones

Objects and pictures If I have 7 and then 3 more, how many altogether? 10

One more than any given number What is one more than 13? 14

Count on from the largest number 8 + 7 = 15

Count on in tens 28 + 30 = 58 + 10 + 10 + 8 30 40 50 58

Count on in tens efficiently 48 + 36 = 84

Partitioning 43 + 25 = 68 43 + 25 = 68 40 + 20 = 60 3 + 5 = 8 60 + 8 = 68

Expanded written method 64 + 32 = 96 60 + 4 + 30 + 2 90 + 6 = 96 6 4 + 3 2 6 90 96

Formal method without carrying 64 + 32 6 4 + 3 2 9 6

Formal method with carrying 377 + 546 377 + 546 923

Formal method with decimals 36.3 + 27.6 36.3 + 27.6 63.9

Objects and picture 7 – 2 = 5 What do I get if I take 2 away from 7? Answer = 5

One less than any given number 10 – 1 = 9 What is one less than 10? Answer = 9

Counting back in ones from a given number 14 – 5 = 9

Counting back in tens from a given number 58 – 30 = 28

Counting back efficiently 76 – 45 = 31

Counting on to find small differences 231 – 198 = 33

Expanded written method without exchanging 78 – 22 = 56 70 + 8 20 + 2 50 + 6 = 56

Expanded written method with exchanging 73 – 27 = 46 70 + 3 becomes 60 + 13 20 + 7 - 20 + 7 40 + 6 = 46

Formal written method 7 8 - 2 5 5 3 without exchanging 1 15 with exchanging 258 - 73 185

Pictures and objects involving doubling 3 shoes here and 3 shoes there. How many altogether?

Groups of 2, 5 and 10 using arrays

Repeated addition using a number line 6 x 5 = 30

Partitioning 13 x 5 = 65 10 x 5 = 50 3 x 5 = 15 50 + 15 = 65

Grid method 13 x 8 = 104

Expanded short multiplication 36 x 4 = 144 30 + 6 x 4 24 (4 x 6 = 24) + 120 (4 x 30 = 120) 144

Formal short multiplication 36 x 4 = 144

Formal short multiplication 56 x 27 = 1512

Objects and pictures Share the oranges between two people.

Sharing If I share 6 into 2 equal amounts, how many are in each group?

Grouping How many groups of 2 can I make out of 8? The answer is 4

Using arrays How many groups of 2? 5 groups of two

Grouping using a number line 30 ÷ 5 = 6 How many jumps of 5 make 30? Answer = 6

Formal written method without remainders 24 ÷ 3 = 8

Formal written method with remainders 25 ÷ 3 = 8 r1

Formal written method (long division) 496 ÷ 11 = 45 r1

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