Addition Written Methods Written Methods Throughout their years

Addition Written Methods

Written Methods • Throughout their years at school, children should progress from informal jottings and number line methods to formal efficient written methods. • By the end of Year 3, children should be confident using short efficient written methods for all four operations + - x ÷ • Children become secure with these methods with regular practice and should be able to apply skills to problem solving.

Blank Number Line • An empty number line helps children to add on amounts bridging a multiple of ten. Children must have an understanding of partitioning. 7+6 +3 34 + 23 20 + 3 7 +3 10 13 + 20 34 +3 54 57

Your Turn! • Can you use a blank number line to solve these additions? • 43 + 25 = • 51 + 36 = • 124 + 43 =

Expanded Method • Expanded method is completed in preparation for the short efficient written method. Children need to be secure in partitioning numbers. 33 + 26 30 + 3 20 + 6 134 + 27 100+30+4 20 + 7 30+3 + 20+6 50+9 = 59 100+30+4 20+7 + 100+50+11 = 161

Your Turn! • Can you use the expanded method to solve these additions? • 36 + 22 = • 45 + 36 = • 166 + 23 =

Column Addition • Expanded method leads onto a compact efficient written method. This method requires a solid understanding of place value. TU 45 +23 68 TU 57 +35 92 HTU 278 + 56 334 1 1 1

Column Addition • Rules of column addition: – Start with the biggest number – Align the columns H T U – Add from the units first – Carry tens below the answer line of the next column – Add on carried tens TU 42+35= +

Column Addition • Once children are confident using the compact method of column addition for whole numbers, it progresses on to decimal amounts with money. £ 1. 45 + 23 p £ 1. 38 + £ 2. 35 £ 1. 45 +. 23 £ 1. 68 £ 1. 38 +£ 2. 35 £ 3. 73 1

Your Turn! • Can you use the column method to solve these additions? • 37+45= • 238+36= • £ 2. 56+37 p=