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Overcoming barriers in mathematics - helping children move from ...

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The National Strategies | Primary<strong>Overcom<strong>in</strong>g</strong> <strong>barriers</strong> <strong>in</strong> <strong>mathematics</strong> –help<strong>in</strong>g <strong>children</strong> <strong>move</strong> <strong>from</strong> level 2 to level 323Calculat<strong>in</strong>g strandYear 3 objectives Units Year 4 objectives UnitsAdd or subtract mentally comb<strong>in</strong>ations of onedigitand two-digit numbers3A1, 3D1, 3A2, 3D2,3A3Add or subtract mentally pairs of two-digitwhole numbers (e.g. 47 + 58, 91 – 35)4A1, 4D1, 4A2, 4A3Develop and use written methods to record, supportor expla<strong>in</strong> addition and subtraction of two-digit andthree-digit numbers3D2, 3A3, 3D3, 3E3 Ref<strong>in</strong>e and use efficient written methods to add andsubtract two-digit and three-digit whole numbers and£.p4A2, 4D2, 4A3, 4D3Multiply one-digit and two-digit numbers by 10 or100, and describe the effect3A2, 3E2 Multiply and divide numbers to 1000 by 10 and then100 (whole number answers), understand<strong>in</strong>g theeffect; relate to scal<strong>in</strong>g up or down4A1, 4A2Use practical and <strong>in</strong>formal written methods to multiplyand divide two-digit numbers (e.g. 13 × 3, 50 ÷ 4);round rema<strong>in</strong>ders up or down, depend<strong>in</strong>g on thecontext3E1, 3D2, 3E2, 3A3,3D3, 3E3Develop and use written methods to record,support and expla<strong>in</strong> multiplication and divisionof two-digit numbers by a one-digit number,<strong>in</strong>clud<strong>in</strong>g division with rema<strong>in</strong>ders(e.g. 15 × 9, 98 ÷ 6)4A2, 4D2, 4A3, 4E3Understand that division is the <strong>in</strong>verse of multiplicationand vice versa; use this to derive and record relatedmultiplication and division number sentences3E2, 3D3F<strong>in</strong>d unit fractions of numbers and quantities (e.g. 1 ⁄2, 3D1, 3E1, 3D2, 3E2,1 ⁄3,1 ⁄4 and1 ⁄6 of 12 litres) 3E3F<strong>in</strong>d fractions of numbers, quantities or shapes (e.g.1 ⁄5 of 30 plums,3 ⁄8 of a 6 by 4 rectangle)4E1, 4E2, 4E3Use a calculator to carry out one-step and two-stepcalculations <strong>in</strong>volv<strong>in</strong>g all four operations; recognisenegative numbers <strong>in</strong> the display, correct mistakenentries and <strong>in</strong>terpret the display correctly <strong>in</strong> thecontext of money4A1, 4A3© Crown copyright 200800099-2008BKT-EN

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