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Numeracy Year 6 Medium Term Plan Set 3 New national Curriculum Higher Ability - extend Y6 curriculum to cover Y7 objectives by including : Week 1 Standard written methods including addition of decimals. Use for 2 or more step problem solving. Use the order of operations including brackets. Understand inverse operations. Week 2 Standard written methods including subtraction of decimals. Use for 2 or more step problem solving. Use the order of operations including brackets. Understand inverse operations. Week 3 Standard written method of multiplication + alternative methods (napier). Use for 2 or more step problem solving. Use the order of operations including brackets. Understand inverse operations. Week 4 Standard written method of division – chucking and bus-stop. Including decimals. Use for 2 or more step problem solving. Use the order of operations including brackets. Understand inverse operations. Week 5 Use formulae and equations (algebra) to solve problems. (see also week 7). Solve simple linear equations. Week 6 Consolidate the rapid recall of number facts, including multiplication facts to 12 × 12 and the associated division facts Week 7 Generate sequences and describe the general term in simple cases; use letters and symbols to represent unknown Week 8 Week 9 Week 10 Week 11 numbers or variables. (algebra). To use simple formulae, recognise the first few triangular numbers; recognise the squares of numbers to at least 12 × 12 and the corresponding roots. Understand the terms – term, expression, equation. Solve simple linear equations and sequences. Find pairs of numbers that satisfy an equation with two unknowns Shapes – standard labelling of lines, angles and shapes. Use knowledge of triangles and quadrilaterals to solve problems – explain reasoning with diagrams. investigate Pythagoras’ theorem, use 2-D representations to visualise 3-D shapes and deduce some of their properties. Plan surveys or experiments to collect small sets of discrete or continuous data – select, process, present and interpret. Construct, interpret and compare graphs. Mean, median, mode. Plot the graphs of simple linear functions, where y is given explicitly in terms of x, on paper and using ICT; recognise straight-line graphs parallel to the x-axis or y-axis. Plot and interpret conversion charts. Convert between metric units using decimals to 3 places. (eg 1,375 mm = 1.375 m) Solve problems by measuring, estimating and calculating. Week 12 Week 13 Week 14 Week 15 Week 16 Week 17 Use imperial units and know approx metric values. Convert between miles and Km Confident use of mental strategies – partitioning, doubling (including near doubles of decimals eg 2.5 + 2.6), rounding. Consolidate and extend mental methods of calculation to include decimals, fractions and percentages Use under time pressure (mental maths tests) Confident use of mental strategies – partitioning, doubling (including near doubles of decimals eg 2.5 + 2.6), rounding. Consolidate and extend mental methods of calculation to include decimals, fractions and percentages Use under time pressure (mental maths tests) express a smaller whole number as a fraction of a larger one; simplify fractions and identify equivalent fractions; convert fractions to decimals. Compare fractions. Convert between fractions, decimals and percentages. Order a set of fractions by converting to decimals. add and subtract simple fractions and those with common denominators; calculate simple fractions of quantities and measurements; multiply a fraction by an integer. Compare and order integers and decimals in different contexts Multiply and divide integers and Week 18 Week 19 Week 20 Week 21 Week 22 Week 23 Week 24 decimals (to 3 decimal places) by 10, 100 and 1,000. Link to mental maths strategies. Revision of multiplication methods and use of brackets. Use in problem solving. Use all four quadrants to find coordinates of shapes. Identify all the symmetries of 2D shapes. Reflection, rotation and translation about the centre or one of the shape’s vertices. Calculate area of right angled triangles given the lengths of two perpendicular sides. Calculate volume and surface area of cubes and cuboids. Calculate area and circumference of a circle. Use pi. Solve problems using time – timetables, calendars. 24 hour clock. Confident use of mental strategies – partitioning, doubling (including near doubles of decimals eg 2.5 + 2.6), rounding. Use under time pressure (mental maths tests) understand negative numbers as positions on a number line; order, add and subtract integers in context. Add, subtract, divide and multiply using negative numbers. Understand the relationship between ratio and proportion, solve problems involving proportions; use ratio notation, reduce a ratio to its simplest Week 25 form and divide a quantity into two parts in a given ratio Recognise approximate proportions and use percentages to identify and compare proportions, e.g. when interpreting pie charts. Calculate percentage increases or decreases and fractions of quantities and measurements Week 26 Plan surveys or experiments to collect small sets of discrete or continuous data – select, process, present and interpret. Construct, interpret and compare graphs Compare proportions in pie charts. Understand and use the probability scale from 0 to 1. Find and justify probabilities based on equally likely outcomes in simple contexts. Week 27 Convert between metric units using decimals to 3 places. Solve problems by measuring, estimating and calculating. Use imperial units and know approx metric values. Know the sum of angles on a straight line, in a triangle and at a point. Recognise vertically opposite angles. Construct a triangle given two sides and the included angle. investigate Pythagoras’ theorem, Week 28 Week 29 Multiplication of bigger numbers. Multiplication of decimals Multiplication involving negative numbers. Week 30 Revision of standard written methods including napier. Recognise the square roots of perfect squares to 12 × 12 Recognise and use multiples, factors, divisors, common factors, highest common factors and lowest common multiples in simple cases.