Stage 6: Continue to Bridging Ensure all Columnar addition (formal written Pupils to be encouraged to consider practice through children are method): mental strategies first. previous decimals, i.e. confident The concept of exchange is Formal columnar: skills. 0.8 + 0.35 = recalling introduced through continued 25 Count 0.8 + 0.2 + basic facts use of practical equipment +47 forwards and 0.15 using to 20 and (manipulatives). backwards in empty number deriving Teachers model: simple lines. facts using have two tens and five “I fractions, Partitioning place value. ones, which need adding to 25 decimals and near Make links four tens and seven ones.” +47 percentages. doubles, i.e. between add five ones to ones, “I 2 2.5 + 2.6 = 5 + decimals, which gives me twelve ones.” 1 0.1 fractions and exchange ten of my twelve “I Reorder percentages. ones for a ten counter.” decimals, i.e. add my three tens and four “I 25 4.7 + 5.6 0.7 tens to make seven tens.” – +47 4.7 I have seven tens …as… – “Altogether, 2 0.7 + 5.6 = 4 + and two ones.” 5.6. Teachers similarly advance to 1 model the addition of two 3-digit numbers, e.g. 587 475 __ 1 1 25 1062 +47 72 1
Stage 6: Continue to practice previous skills. Count forwards and backwards in simple fractions, decimals and percentages. Bridging through decimals, i.e. 0.8 + 0.35 = 0.8 + 0.2 + 0.15 using empty number lines. Partitioning near doubles, i.e. 2.5 + 2.6 = 5 + 0.1 Reorder decimals, i.e. 4.7 + 5.6 – 0.7 …as… 4.7 – 0.7 + 5.6 = 4 + 5.6. Ensure all children are confident recalling basic facts to 20 and deriving facts using place value. Make links between decimals, fractions and percentages. Columnar addition (formal written method): The concept of exchange is introduced through continued use of practical equipment (manipulatives). Teachers model: “I have two tens and five ones, which need adding to four tens and seven ones.” “I add five ones to ones, which gives me twelve ones.” “I exchange ten of my twelve ones for a ten counter.” “I add my three tens and four tens to make seven tens.” “Altogether, I have seven tens and two ones.” Teachers similarly advance to model the addition of two 3-digit numbers, e.g. 587 475 1 1 __ 1062 Pupils to be encouraged to consider mental strategies first. Formal columnar: 25 +47 25 +47 2 1 25 +47 2 1 25 +47 72 1
Badgemores-Calculation-Policy.docx