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For an A* you can…Can doRevise 1Revise 2Calculating bounds in area and volume questionsManipulating complex indices, including surdsSolving simultaneous equations - one linear and one quadraticUsing equation of a circle and finding points of intersection with a lineTransforming graphs of trigonometrical functionsKnowing graphs of exponential and more complex functionsManipulating algebraic fractionsRearranging complex equationsTransforming graphical functions, e.g. y = f(x+a); y = f(ax)Solving 3D trigonometry problemsUsing the sine and cosine ruleMensuration in 3D solids and 2D shapesKnowing proofs of circle theoremsKnowing proofs of construction theoremsFor an A you can…Can doRevise 1Revise 2 Rationalising surdsCalculating upper and lower boundsManipulating fractional indicesRearranging formulae where the variable occurs twiceManipulating simple algebraic fractions, e.g. + - Solving algebraic problems, e.g. explain why (n+1)(n+20) is an even numberSolving quadratics by factorising, formula or completing the squareSolving equations graphicallyRecognising the difference of two squaresSimplifying algebra involving powersCalculating equation of line through a point and perpendicular to a given lineFinding trigonometrical solutions, e.g. cosx = 0?5Recognising graphs of trigonometrical functionsUsing the sine and cosine rule in simple casesCalculating surface area or volume of various solidsSolving problems involving arcs, sectors and segmentsUsing Pythagoras’ Theorem in 3D situationsUsing similarity in length, area and volumeCalculating the distance between points using 3D co-ordinatesProving that triangles are congruentUsing circle theoremsCarrying out an enlargement with a negative fractional scale factorUsing the fact that the area of triangle = ?absinCConstructing and interpreting histogramsUnderstand stratified samplingFind probability for combined events using multiplication and additionFor a B you can…Can do…Revise 1Revise 2Calculating compound interestCalculating reverse percentage problemsCalculating with fractions and mixed numbersCalculating problems involving numbers in standard formUnderstanding negative indicesRecognising the difference of 2 squaresSolving inequalities by algebraic or graphical methodsSolving simultaneous equations by graphical or algebraic methodsMatching equations to their graphsSolving simple quadratics by factorisingSolving equations involving fractionsExpanding bracketsUsing y=mx+c to find the gradient and equation of a line without drawingSolving cubic equations graphically (when graph is given)Solving quadratic equations graphicallyRecognising graphs of cubic and reciprocal functionsSimplifying fractions where the denominator is an algebraic expressionFactorising expressions, e.g. 6(a-b)? - 3(a-b) Using circle theoremsUnderstanding similar shapesSolving multi-stage trigonometrical problemsDescribing transformationsFinding interior and exterior angles of polygonsFinding dimensions of a formulaeUsing tree diagrams for probabilityAnalysing data to compare with theoretical resultsDrawing box plots from a cumulative frequency tableFinding median and inter-quartile range from cumulative frequency table or graph For a C you can…Can do…Revise 1Revise 2Estimation and division by a number less than 1Calculating compound interest - no rounding necessaryUsing a calculator in complex situationsMultiplication and division by a number between 0 and 1Calculating with fractionsCalculating with ratiosCalculating percentage decrease and increaseMultiplication and division by powers of 10 and decimalsFinding the prime factor decomposition of a numberUsing the rules of indices in numeric situationsSolving cubic equations by trial and improvementRearranging simple formulae Solving equationsSolving inequalitiesExpanding brackets and simplifying the resultGraphing quadratic functions in simple casesInterpreting real-life graphs, e.g. travel graphsFinding the nth term for a linear sequenceFinding the length of a line given 2 pointsSubstitution into complex formulae Constructing the perpendicular bisector of a given lineConstructing lociFinding volumes of 3D shapes including prismsCalculating area or circumference of a circle from diameterCarry out transformations including translation with vectorsUse of Pythagoras’ Theorem and trigonometryCarrying out constructions, e.g. triangles in all situationsSolving problems involving polygons, e.g. interior anglesUnderstanding, using and solving problems with bearingsDrawing box plotsCalculating moving averagesFinding mean and median from grouped dataDesigning questionnairesExplaining the use of different averages For a D you can…Can doRevise 1Revise 2EstimationCalculating profit and lossSolving problems involving proportion in simple casesCalculating an increase or decrease by a percentageCalculating with fractions in simple casesCalculating with ratios in recipesExpanding brackets such as x(x+4)Factorising, e.g. x? - 5x and 12x – 8Understanding unstructured linear graphsDeriving and solving equations from diagrams Substituting negative numbers into algebraic expressionsExpanding and simplifying brackets and expressionsSolving equations, including unknowns on both sides Converting between units of area, e.g. m? to cm?Calculating area or circumference of a circle given radiusFinding area of triangle, regular polygons, compound shapesFinding midpoint of a line given the end co-ordinatesCarrying out simple transformationsSolving simple problems involving polygonsSolving problems involving similar triangles (+ve scale factor)Constructing and interpreting plans and elevationsSolving problems involving parallel linesKnowing triangle proofs (exterior angle & angle-sum)Constructing a stem and leaf diagramUnderstanding and using relative frequencyFinding missing probability from a list or table of resultsConstructing and interpreting scatter graphsDrawing and using lines of best fitUnderstanding correlationFinding the modal class from grouped frequenciesFinding the mean from a discrete frequency distributionExplaining deficiencies in questionnaires and sampling techniques For an E you can…Can doRevise 1Revise 2Simplifying ratiosUsing a calculator, e.g. ‘1?5?’ and ‘square root of 23?78’Rounding to 1 significant figureCalculating with fractions in simple casesLong multiplication and division, including decimalsFinding percentages by mental methodsOrdering fractions, decimals and percentagesCalculating indices and roots, e.g. 4?, 2? x 3?,‘the cube of 4’Using the four rules with negative numbersCalculating VATConstructing simple linear graphsSimplifying simple algebraUsing a formula inversely, e.g. find x if y=3 where y = 2x-1Using conversion graphsRecognising complex number sequencesSolving simple equations, e.g. 3y + 2 = 8Understanding the geometry of triangles and quadrilateralsCarrying out enlargements in simple casesConverting between metric and imperial units using known factsCalculating volumes in simple casesCompleting tessellationsFinding area and perimeter of rectangles and kitesIdentifying planes of symmetryWorking with nets of shapesCarrying out simple transformationsInterpreting a stem and leaf diagram to find the medianInterpreting a time series graphUsing data collection sheetsFinding probabilities from a 2-way tableUsing the fact that the sum of probabilities is 1Using ‘fx’ in a frequency tableConstructing a pie chartFor an F you can…Can doRevise 1Revise 2Carrying out long multiplication and division:3-digit by 2-digitCalculating simple percentages of quantitiesCalculating simple fractions of quantitiesUnderstanding the order of operationsRounding to various decimal placesUnderstanding place valueFinding simple squares, cubes and rootsFinding factors of numbersConverting between fractions, decimals and percentagesUsing negative numbers in contextFinding terms in a linear sequenceRecognising non-linear number sequencesUsing co-ordinates in four quadrantsUsing simple formulaeSolving simple equations, e.g. 5x = 25 and x-2=6Deriving simple expressions Estimating lengthsUsing simple scale drawingsNaming, measuring and drawing anglesNaming polygonsIdentifying lines of symmetryIdentifying rotational symmetryUsing the angle sum on a straight line = 180?Identifying faces, edges and verticesStating simple probabilityListing all outcomes for a single eventEstimating probability from diagrams, pie charts and tablesFinding range, and using to compare two distributionsFinding mean and modeInterpreting pie chartsUsing bar charts to compare two sets of dataFor a G you can…Can doRevise 1stRevise 2ndRounding to the nearest integerInterpreting bills and timetablesRounding to the nearest 10,100, 1000Identifying fractions from a shaded diagramIdentifying percentages from a shaded diagramCalculating simple fractions of quantities (numerator of 1)Ordering decimalsOrdering, reading and writing whole numbersConverting fractions to a ratio, e.g. 1/3 of a whole is 1:2Using co-ordinates in one quadrantReading from simple real-life graphsFinding the next term in a simple linear sequenceFinding areas, perimeters and volumes by countingDrawing 2D shapesMeasuring and drawing linesDrawing circlesNaming shapesDrawing lines of symmetry on a diagramUsing a given line of reflectionCompleting accurate drawings of given shapesFinding median and mode using single digitsDrawing and interpreting line graphs, bar charts and pictogramsMaking tables, lists and tally charts from discrete dataBeing able to choose the ‘most likely’ outcome from given information ................
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