Assessment in Mathematics Year 6 and KS3. Nigel Bufton MATHSEDUCATIONAL LTD and the London Borough of Camden

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1 Year 6 Number Identify common factors, common multiples, and prime, square and cube numbers; use negative numbers Calculate mentally with mixed operations; use formal written methods to multiply and divide numbers with up to 4 digits by 1- and 2-digit numbers, and multiply decimal numbers with up to 2 decimal places by whole numbers Scale quantities up or down in a given ratio; use ratio or a fraction to describe the relationship between quantities Simplify fractions and write fractions as an equivalent fraction with denominators that are scaled up or down, use to add and subtract fractions with different denominators; multiply and divide proper fractions by whole numbers; find percentages of quantities Use algebraic notation to represent missing numbers and to describe patterns and sequences; use formulae Measurement Use, read, write, convert between standard units of time, length, mass, and capacity/volume using where appropriate decimal notation with up to 3 decimal places Calculate areas of composite rectilinear shapes, parallelograms and triangles, and volumes of cubes and cuboids using standard units cm³ and m³ Geometry Compare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangle, quadrilaterals and regular polygons Use coordinates to describe positions and movement in all four quadrants Statistics Interpret and construct bar and pie charts, and line and time graphs, and the mean as an average; use to answer data questions and to solve problems Working mathematically: Solve problems, communicate and reason mathematically Solve routine and non-routine problems that involve geometric shapes, fractions, ratio, scaling; give answers to required accuracy that takes account of context Derive and use properties of number and shape and determine whether they hold true always, sometime, or never; extend patterns and explain methods and reasoning used to derive unknown values Use precise mathematical language to present an explanation and to describe properties of numbers and geometrical shapes; make use of algebraic notation in simple formulae, evaluate expressions and find values that satisfy equations

2 Year 6 (3-point scale) Progressing towards national standards Meeting national standards Working at depth within national standards The mathematics content The mathematics content The mathematics content Year 6 (4-point scale) Working below Working towards Meeting Exceeding The mathematics content The mathematics content The mathematics content

3 Class: 6C Class assessment record sheet based on 3-point scale Names Aspects of mathematics Progress over year A B C D E F G The mathematics content (S) 6.8 The mathematics content Working mathematically B B A The mathematics content 6.1 (S) The mathematics content Working mathematically C B B The mathematics content Working mathematically A C B The mathematics content 6.1 (S) 6.4(S) 6.8 Working mathematically C C B The mathematics content Working mathematically A A A Spring term support effective now meets standards; insecure language skills struggles to interpret problems Understanding good accelerated progress in summer; has very strong reasoning and problem solving skills Concern. Made very little progress, still has sig weakness in basics, poor recall skills, no confidence Progressing well; has good grasp of content and improvements in problem solving and explanations Concern. Lost way after first term needs follow up as has strong potential Autumn and spring term support effective now meeting standards and improved at problem solving Very good overall progress mastery of content good problem solver and thinker

4 Year 7 Number, algebra and ratio Classify types of number and use the laws of arithmetic to carry out informal and mental calculations Estimate quantities, measures and parts of a whole; explain that a measure is an approximate reading against a set of uniform scaled values; round whole numbers and decimals up or down to an appropriate degree of accuracy, use to approximate answers to a calculation Convert between and order fractions, mixed numbers, percentages and decimals; recognise when a decimal will repeat or terminate; generate equivalent fractions and simplify fractions, find a common denominator for a pair of fractions; find fractions and percentages of quantities Use formal written methods for calculations involving whole and decimal numbers; recall and apply number facts to carry out calculations involving decimals, fractions and percentages; express a quantity that is a multiple of the other as a fraction or percentage and scale a quantity up and down Interpret and manipulate algebraic expressions that involve the four operations; evaluate algebraic expressions, solve simple linear equations and apply formulae to solve problems Measurement Measure and draw line segments and angles accurately; use these skills to carry out simple geometric constructions Convert between standard metric units and units for measuring time and temperature; use simple compound units when solving problems Geometry Calculate missing angles at a point, in shapes and around parallel lines; sketch and label shapes Use coordinates in all four quadrants to describe positions and transformations Probability and statistics Use the 0 to 1 probability scale to measure the chance that simple random events occur Construct and interpret tables, charts and diagrams; for discrete data interpret the mean, mode and median and apply to solve problems Working mathematically: Solve problems, communicate and reason mathematically Solve multi-step problems, including those that involve the perimeter and areas of shapes, drawing simple graphs and finding percentage change; begin to identify the mathematical connections between seemingly different situations Identify examples and counter-examples to a property and recognise how a counter-example can refute or limit a general rule; represent an unknown value or values by a letter and apply known conditions to frame an equation or expression from which a problem can be solved Use the language of geometry to describe properties and relationships, of number including index, base and power, and of statistics and probability to interpret data and assess chance; use algebraic notation to express general structures, to describe number patterns, to set out the rules for a sequence and to show the properties of sides and angles in geometrical shapes

5 Year 7 (3-point scale) Working towards Meeting Exceeding The mathematics content The mathematics content The mathematics content Year 7 (4-point scale) Working below Working towards Meeting Exceeding The mathematics content The mathematics content The mathematics content

6 Class: 7B Class assessment record sheet based on 4-point scale Names Aspects of mathematics Progress over year A Abibb B Bibb C Cribb D Dibbs E Ebbs F Fibbs G Gabb The mathematics content (S) 7.10 The mathematics content Working mathematically A B A The mathematics content 7.1 (S) Working mathematically D D C The mathematics content Working mathematically C B B The mathematics content (S) 7.9 (S) Working mathematically C C D The mathematics content 7.2 (S) Working mathematically C B B The mathematics content 7.3 (S) Spring term support effective; struggles with the language Making good progress; has very strong reasoning skills Making progress, problem solving continues to be a weakness Good progress; mastering content struggles with problem solving Concern requires continued support with algebra Good progress mastering content improved problem solving Autumn term support effective; but slipped back finds algebra hard