1. Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C

2. Level 4 Block 1Number 1Algebra 1Shape and Space 1 Handling data 1 Test and CP1 Block 2Number 2Shape and Space 2 Handling Data 2 Test and CP2 Block 3Number 3Algebra 2Shape and Space 3 Handling Data 3 Test and CP3 Block 4Number 4Algebra 3Shape and Space 4 Handling Data 4 Test and CP4 Back to Outline Project Activities

3. Level 5 Block 1Number 1Algebra 1Shape and Space 1 Handling data 1 Test and CP1 Block 2Number 2Algebra 2Shape and Space 2 Handling Data 2 Test and CP2 Block 3Number 3Algebra 3Shape and Space 3 Handling Data 3 Test and CP3 Block 4Number 4Algebra 4Shape and Space 4 Handling Data 4 Test and CP4 Project Activities Back to Outline

4. Level 6 Block 1Number 1Algebra 1Shape and Space 1 Handling data 1 Test and CP1 Block 2Number 2Algebra 2Shape and Space 2 Handling Data 2 Test and CP2 Block 3Number 3Algebra 3Shape and Space 3 Handling Data 3 Test and CP3 Block 4Number 4Algebra 4Shape and Space 4 Handling Data 4 Test and CP4 Project Activities Back to Outline

5. Level 7 Block 1Number 1Algebra 1Shape and Space 1 Handling data 1 Test and CP1 Block 2Number 2Algebra 2Shape and Space 2 Handling Data 2 Test and CP2 Block 3Number 3Algebra 3Shape and Space 3 Handling Data 3 Test and CP3 Block 4Number 4Algebra 4Shape and Space 4 Algebra 5Test and CP4 Project Activities Back to Outline

6. Level 8 Block 1Number 1Algebra 1Shape and Space 1 Handling data 1 Test and CP1 Block 2Number 2Algebra 2Shape and Space 2 Handling Data 2 Test and CP2 Block 3Number 3Algebra 3Shape and Space 3 Algebra 4Test and CP3 Block 4Algebra 5Shape and Space 4 Algebra 6Handling Data 4 Test and CP4 Project Activities Back to Outline

7. Grade C Block 1Number 1Algebra 1Shape and Space 1 Handling data 1 Test and CP1 Block 2Number 2Algebra 2Shape and Space 2 Handling Data 2 Test and CP2 Block 3Number 3Algebra 3Shape and Space 3 Handling Data 3 Test and CP3 Block 4Number 4Algebra 4Shape and Space 4 Handling Data 4 Test and CP4 Back to OutlineProject Activities

8. Grade C Block 1Number 1Algebra 1Shape and Space 1 Handling data 1 Test and CP1 Block 2Number 2Algebra 2Shape and Space 2 Handling Data 2 Test and CP2 Block 3Number 3Algebra 3Shape and Space 3 Handling Data 3 Test and CP3 Block 4Number 4Algebra 4Shape and Space 4 Algebra 5Test and CP4 Project Activities Back to Outline

9. Grade B Block 1Number 1Algebra 1Shape and Space 1 Handling data 1 Test and CP1 Block 2Number 2Algebra 2Shape and Space 2 Handling Data 2 Test and CP2 Block 3Number 3Algebra 3Shape and Space 3 Handling Data 3 Test and CP3 Block 4Number 4Algebra 4Shape and Space 4 Handling Data 4 Test and CP4 Back to OutlineProject Activities

10. Grade B Block 1Number 1Algebra 1Shape and Space 1 Handling data 1 Test and CP1 Block 2Number 2Algebra 2Shape and Space 2 Handling Data 2 Test and CP2 Block 3Number 3Algebra 3Shape and Space 3 Algebra 4Test and CP3 Block 4Algebra 5Shape and Space 4 Algebra 6Handling Data 4 Test and CP4 Project Activities Back to Outline

11. Grade A/A* Block 1Number 1Algebra 1Shape and Space 1 Handling data 1 Test and CP1 Block 2Number 2Algebra 2Shape and Space 2 Handling Data 2 Test and CP2 Block 3Algebra 3Shape and Space 3 Handling Data 3 Algebra 4Test and CP3 Block 4Shape and Space 4 Algebra 5Shape and Space 5 Shape and Space 6 Test and CP4 Project Activities Back to Outline

12. Level 4: Block 1: Number 1 Understanding of place value in integers. Multiply and divide whole numbers by 10 or 100. Approximate to nearest 10, 100, 1000. Level descriptors Back to Level 4Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

13. Level 4: Block 1: Algebra 1 Use simple formulae expressed in words. Level descriptors Back to Level 4Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

14. Level 4: Block 1: S & S 1 Reflect simple shapes in a mirror line. Choose and use appropriate units and tools, interpreting, with appropriate accuracy, numbers on a range of measuring instruments. Level descriptors Back to Level 4Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

15. Level 4: Block 1: Handling Data 1 Construct, read information from, interpret and draw conclusions from pictograms Level descriptors Back to Level 4Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

16. Level 4: Block 2: Number 2 Mental methods of addition and subtraction. Efficient written methods of addition and subtraction of any two numbers. Level descriptors Back to Level 4Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

17. Level 4: Block 2: S & S 2 Find perimeters of simple shapes. Find areas by counting squares. Level descriptors Back to Level 4Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

18. Level 4: Block 2: Handling Data 2 Types of data: grouped, ungrouped Collect discrete data and record them using a frequency table. Group data in equal class intervals where appropriate. Construct, read information from, interpret and draw conclusions from bar charts Construct, read information from, interpret and draw conclusions from tally charts Represent grouped data in frequency diagrams and interpret such diagrams. Level descriptors Back to Level 4Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

19. Level 4: Block 3: Number 3 Mental methods of multiplication and division. Efficient written methods of short multiplication and division. Level descriptors Back to Level 4Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

20. Level 4: Block 3: Algebra 2 Collecting like terms (from level 5) Level descriptors Back to Level 4Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

21. Level 4: Block 3: S & S 3 Draw common 2D shapes in different orientations on grids. Level descriptors Back to Level 4Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

22. Level 4: Block 3: Handling Data 3 Construct and interpret simple line graphs. Level descriptors Back to Level 4Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

23. Level 4: Block 4: Number 4 Mental recall of multiplication facts up to 10 × 10 and quick derivation of corresponding division facts. Use simple fractions and percentages to describe approximate proportions of a whole. Level descriptors Back to Level 4Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

24. Level 4: Block 4: Algebra 3 Solve simple linear equations (from level 5 e.g. x + 3 = 7) Level descriptors Back to Level 4Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

25. Level 4: Block 4: S & S 4 Make 3D mathematical models by linking given faces or edges. Level descriptors Back to Level 4Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

26. Level 4: Block 4: Handling Data 4 Understand and use the median, mode and range to describe sets of data. Level descriptors Back to Level 4Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

27. Level 5: Block 1: Number 1 Factors, multiples and prime numbers Order, add and subtract negative numbers in context. Evaluate numerical expressions, with and without a calculator, involving the four rules and brackets Level descriptors Back to Level 5Programme of studyKey terms and notationAPPR & C Nrich Activities Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

28. Level 5: Block 1: Algebra 1 Collecting like terms Use brackets appropriately. Multiplying out single bracket by a simple term Level descriptors Back to Level 5Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

29. Level 5: Block 1: S & S 1 Draw lines correct to the nearest millimetre. Recognise reflection and rotation symmetry in 2D shapes. Rotations of simple shapes (90o clockwise or anticlockwise, 180o) Reflection in a diagonal line Level descriptors Back to Level 5Programme of studyKey terms and notationAPPR & C Nrich Activities Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

30. Level 5: Block 1: Handling Data 1 Construct, read information from, interpret and draw conclusions from dual bar charts Construct, read information from interpret and draw conclusions from line graphs Level descriptors Back to Level 5Programme of studyKey terms and notationAPPR & C Nrich Activities Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

31. Level 5: Block 2: Number 2 Square numbers and square roots where the root is an integer Cube numbers and cube roots where the root is an integer Know square numbers up to 15. Know cubes of 1, 2, 3, 4, 5, 10 Index notation for squares and cubes Level descriptors Back to Level 5Programme of studyKey terms and notationAPPR & C Nrich Activities Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

32. Level 5: Block 2: Algebra 2 Construct simple formulae involving one or two operations to describe a situation, and express them using symbols. Substitute positive integers into simple formulae involving one or two operations. Level descriptors Back to Level 5Programme of studyKey terms and notationAPPR & C Nrich Activities Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

33. Level 5: Block 2: S & S 2 Use language associated with angle, including right- angle and perpendicular Measure and draw angles to the nearest degree Angles at a point and on a straight line Vertically opposite angles. Know and use the angle sum of a triangle Properties of equilateral, isosceles, scalene, acute- and obtuse-angled triangles. Simple understanding of congruence Interpret scales on a range of measuring instruments and recognise the inaccuracy of measurements. Level descriptors Back to Level 5Programme of studyKey terms and notationAPPR & C Nrich Activities Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

34. Level 5: Block 2: Handling Data 2 Construct, read information from, interpret and draw conclusions from pie charts Level descriptors Back to Level 5Programme of studyKey terms and notationAPPR & C Nrich Activities Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

35. Level 5: Block 3: Number 3 Understanding of place value in decimals Multiply and divide simple decimals by 10, 100 and 1000. Multiply and divide whole numbers and decimals. Use all four operations with decimals to two places. Approximate to one or two decimal places. Percentage means parts per 100 Mental problems based on 1% and 10% Level descriptors Back to Level 5Programme of studyKey terms and notationAPPR & C Nrich Activities Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

36. Level 5: Block 3: Algebra 3 Use and interpret coordinates in all four quadrants. Level descriptors Back to Level 5Programme of studyKey terms and notationAPPR & C Nrich Activities Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

37. Level 5: Block 3: S & S 3 Convert one metric unit to another. Understand and use the formula for the area of a rectangle. Area of simple triangles Level descriptors Back to Level 5Programme of studyKey terms and notationAPPR & C Nrich Activities Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

38. Level 5: Block 3: Handling Data 3 Understand and use the mean of discrete data. Calculate mean, median, mode and range from charts, diagrams, lists and tables of data Level descriptors Back to Level 5Programme of studyKey terms and notationAPPR & C Nrich Activities Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

39. Level 5: Block 4: Number 4 Equivalent fractions in simple cases Cancelling fractions in simple cases Convert between top-heavy fractions and mixed numbers in simple cases Calculate fractional or percentage parts of quantities and measurements, using a calculator where appropriate. Solve simple problems involving ratio and direct proportion. Level descriptors Back to Level 5Programme of studyKey terms and notationAPPR & C Nrich Activities Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

40. Level 5: Block 4: Algebra 4 Formulate and solve simple linear equations (unknown appears only once). Level descriptors Back to Level 5Programme of studyKey terms and notationAPPR & C Nrich Activities Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

41. Level 5: Block 4: S & S 4 Make sensible estimates of a range of measures in relation to everyday situations. Use and interpret maps and scale drawings. Approximate Imperial conversions (5 miles  1 kilometre, 4.5 litres  1 gallon, 2.2 pounds  1 kilogram and 1 inch  2.5 centimetres) Level descriptors Back to Level 5Programme of studyKey terms and notationAPPR & C Nrich Activities Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

42. Level 5: Block 4: Handling Data 4 Vocabulary of probability: impossible, very unlikely, unlikely, evens, likely, very likely, certain. Understand and use the probability scale from 0 to 1. Theoretical probabilities as fractions. Estimates of probability based on experimental evidence. Understand that different outcomes may – and usually will – result from repeating an experiment. Level descriptors Back to Level 5Programme of studyKey terms and notationAPPR & C Nrich Activities Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline Project

43. Level 6: Block 1: Number 1 Common factors, HCF and LCM Decomposition of positive integers into product of prime factors Understand and use BODMAS to evaluate numerical expressions, with/without calculator Square roots of non-square numbers and cube roots of non-cube numbers Index notation Knowledge of powers of ten (e.g. 1 million = 10 6 ) Level descriptors Back to Level 6Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

44. Level 6: Block 1: Algebra 1 Understand the words equation, expression, formula and term Substitute positive integers into formulae involving several operations. Multiply single bracket by a more complex term Factorising (single bracket with simple common factor, such as 3(2a – b) and x(3x + 5)) Formulate and solve linear equations (no brackets) with integer coefficients. Solve linear equations involving brackets Level descriptors Back to Level 6Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

45. Level 6: Block 1: S & S 1 Vocabulary: alternate, corresponding, interior and exterior angles. Regular polygons: interior and exterior angles, and angle at centre. Know and use the angle properties of intersecting and parallel lines, and explain them Understand and use bearings Level descriptors Back to Level 6Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

46. Level 6: Block 1: Handling Data 1 Construct, read information from, interpret and draw conclusions from stem-and-leaf tables Understand the terms “primary data” (data collected by the user) and “secondary data” (data already collected by someone else) Types of data: qualitative, discrete, continuous Extract data from printed tables and lists. Design and use two-way tables for grouped and ungrouped data. Level descriptors Back to Level 6Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

47. Level 6: Block 2: Number 2 Order and approximate decimals. Multiply and divide any decimal by 10, 100 or 1000. Approximate to 1 d.p., 2 d.p. or 3 d.p., or to 1 s.f. Equivalent fractions Cancelling fractions Convert between top-heavy fractions and mixed numbers Level descriptors Back to Level 6Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

48. Level 6: Block 2: Algebra 2 Term-to-term rule for a linear sequence, described in words. Position-to-term rule for a linear sequence – expression for the nth term. Generate terms of a linear sequence using term-to-term and position-to-term definitions of the sequence. Construct formulae involving several operations to describe a situation. Level descriptors Back to Level 6Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

49. Level 6: Block 2: S & S 2 Know and use the angle and symmetry properties of quadrilaterals (square, rectangle, parallelogram, rhombus, kite, trapezium). Know and use the angle and symmetry properties of polygons, including the sums of interior and exterior angles. Justify simple geometrical properties (e.g. exterior angle of a triangle = sum of interior angles at the other two vertices) Level descriptors Back to Level 6Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

50. Level 6: Block 2: Handling Data 2 Construct, read information from, interpret and draw conclusions from scatter graphs Recognise types of correlation – weak strong, positive, negative, no correlation Identify rogue values from a scatter graph Find patterns in data and spot exceptions. Level descriptors Back to Level 6Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

51. Level 6: Block 3: Number 3 Order fractions by writing them with a common denominator. Add and subtract fractions by writing them with a common denominator. Evaluate one number as a fraction or percentage of another. Understand and use the equivalences between fractions, decimals and percentages Recognise that terminating decimals are fractions, and change any terminating decimal (with up to 3 places of decimals) into a fraction in its simplest form Level descriptors Back to Level 6Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

52. Level 6: Block 3: Algebra 3 Solve inequalities in a single variable Solution set on number line (using open and closed circles) Solve equations using trial and improvement. Level descriptors Back to Level 6Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

53. Level 6: Block 3: S & S 3 Circle vocabulary: centre, radius, diameter, arc sector, segment, tangent. Understand and use appropriate formulae for finding circumferences and areas of circles, areas of plane rectilinear figures and volumes of cuboids. Understand the idea of ‘similarity’ Level descriptors Back to Level 6Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

54. Level 6: Block 3: Handling Data 3 Construct pie charts. Collect and record continuous data, choosing appropriate equal class intervals. Create frequency tables for grouped continuous data. Construct and interpret frequency diagrams. Construct, read information from interpret and draw conclusions from frequency polygons Level descriptors Back to Level 6Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

55. Level 6: Block 4: Number 4 Compare proportions using percentages Divide a quantity in a given ratio Reduce ratio to simplest form Relationship between ratios and fractions Use of unitary method in simple cases Level descriptors Back to Level 6Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

56. Level 6: Block 4: Algebra 4 Use Cartesian coordinates for graphical representation, interpreting general features. Plot points in all four quadrants using geometric information Plot a straight line graph, given the equation (in the form y = mx + c) Recognise the equation of a straight line Construct linear functions from real-life problems and plot their corresponding graphs. Level descriptors Back to Level 6Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

57. Level 6: Block 4: S & S 4 Recognise and use common 2D representations of 3D objects. Enlargements by a positive integer scale factor The three main isometries: translation by a vector, reflection in a line and rotation about a point. Distinguish properties which are preserved by a given transformation Construct simple loci based on distances from fixed points and lines, and inequalities based on these (at most two constraints). Level descriptors Back to Level 6Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

58. Level 6: Block 4: Handling Data 4 List all outcomes for single events, and for two successive events, in a systematic way, and derive related probabilities. Identify different mutually exclusive outcomes and use the fact that the sum of the probabilities of all these outcomes is 1. (The term “mutually exclusive” need not be known by the students.) Level descriptors Back to Level 6Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

59. Level 7: Block 1: Number 1 Estimates to multiplication and division problems using numbers rounded to 1 s.f. Understand the effects of multiplying and dividing by numbers between 0 and 1. Solve problems involving direct proportion using the unitary or multiplier method Solve numerical problems involving multiplication and division with numbers of any size. Use calculator efficiently and appropriately, knowing not to round off during a calculation. Approximate answers to 1 s.f., 2 s.f. or 3 s.f. Appreciate the imprecision of measurement and recognise that a measurement given to the nearest whole number may be inaccurate by up to one half in either direction. Level descriptors Back to Level 7Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

60. Level 7: Block 1: Algebra 1 Term-to-term rule for a quadratic sequence. Position-to-term rule for a quadratic sequence Generate terms of a non-linear sequence using term-to-term and position-to-term definitions of the sequence. Use of algebra to support and construct arguments Level descriptors Back to Level 7Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

61. Level 7: Block 1: S & S 1 Understand and apply Pythagoras’ theorem in two dimensions. Level descriptors Back to Level 7Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

62. Level 7: Block 1: Handling Data 1 Specify hypotheses and test them by designing and using appropriate methods that take account of variability or bias. Identify possible sources of bias Draw line of best fit ‘by eye’, and understand what it represents Understand that using a line of best fit outside the plotted range may not be valid. Level descriptors Back to Level 7Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

63. Level 7: Block 2: Number 2 Multiply and divide fractions Calculations with fractions using a calculator Level descriptors Back to Level 7Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

64. Level 7: Block 2: Algebra 2 Simultaneous linear equations – algebraic method. Level descriptors Back to Level 7Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

65. Level 7: Block 2: S & S 2 Calculate lengths, areas and volumes in plane shapes and right prisms, including cylinders. Areas and perimeters of compound shapes, including those involving circles and semi-circles Level descriptors Back to Level 7Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

66. Level 7: Block 2: Handling Data 2 Determine the modal class and estimate the mean, median and range of sets of grouped data. Select the statistic most appropriate to their line of enquiry. Use measures of average and range, with associated frequency polygons, as appropriate, to compare distributions and make inferences. Level descriptors Back to Level 7Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

67. Level 7: Block 3: Number 3 Understand and use proportional changes. Calculate the result of any proportional change using only multiplicative methods. Compound interest. Understand and use compound measures, such as speed. Level descriptors Back to Level 7Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

68. Level 7: Block 3: Algebra 3 Multiply out and simplify expressions of the form (x ± a)(x ± b) Factorising (single bracket with compound common factor, for example 3x²(x – 4t)) Change the subject of a formula (at most two operations) Level descriptors Back to Level 7Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

69. Level 7: Block 3: S & S 3 Determine the locus of an object moving according to a rule. Straight edge and compass constructions: perpendicular bisector, angle bisector Level descriptors Back to Level 7Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

70. Level 7: Block 3: Handling Data 3 Understand relative frequency as an estimate of probability and use this to compare outcomes of experiments. Compare experimental data and theoretical probabilities Knowledge that the more trials that are carried out, the better the reliability of the results. Level descriptors Back to Level 7Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

71. Level 7: Block 4: Number 4 Rules of indices for integer powers Negative square roots Recognise that recurring decimals are fractions, and that some fractions are recurring decimals Level descriptors Back to Level 7Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

72. Level 7: Block 4: Algebra 4 Plotting linear graphs expressed in the form ax + by = c Simultaneous linear equations – graphical method. Level descriptors Back to Level 7Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

73. Level 7: Block 4: S & S 4 Enlarge shapes by a fractional scale factor, and appreciate the similarity of the resulting shapes. Understand the effect of enlargement on perimeter, area and volume Level descriptors Back to Level 7Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

74. Level 7: Block 4: Algebra 5 Distance-time graphs Discuss plot and interpret other graphs (including non-linear graphs) which model real-life situations, including statistical ones Plot simple quadratic graphs and use these to find approximate solutions (x given y and y given x) Level descriptors Back to Level 7Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

75. Level 7: Block 1: Number 1 Solve problems that involve calculating with powers and roots. Calculate with numbers expressed in standard form. Approximate to any number of significant figures or decimal places Standard form – interpret and order Calculate with and solve problems involving numbers expressed in standard form. Level descriptors Back to Level 7Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

76. Level 8: Block 1: Algebra 1 Evaluate algebraic formulae, substituting fractions, decimals and negative numbers. Calculate one variable, given the others, in an algebraic formula involving fractions, decimals and negative numbers. Solve linear equations with fractional coefficients Level descriptors Back to Level 8Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

77. Level 8: Block 1: S & S 1 Understand and use mathematical similarity. Introduction to trigonometry – calculating sides in right-angled triangles Level descriptors Back to Level 8Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

78. Level 8: Block 1: Handling Data 1 Construct, read information from interpret and draw conclusions from cumulative frequency diagrams Calculate quartiles and interquartile range from charts, diagrams, lists and tables of data Estimate the median and interquartile range and use these to compare distributions and make inferences. Construct, read information from interpret and draw conclusions from box plots Level descriptors Back to Level 8Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

79. Level 8: Block 2: Number 2 Solve problems involving repeated percentage or fractional changes. Calculate the original quantity given the result of a percentage or fractional change. Compound interest using multiplier method Level descriptors Back to Level 8Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

80. Level 8: Block 2: Algebra 2 Manipulate algebraic formulae, equations and expressions. Multiply out expressions of the form (ax ± c)(cx ± d) Level descriptors Back to Level 8Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

81. Level 8: Block 2: S & S 2 Understand and use congruence. Understand and use conditions for congruent triangles. Level descriptors Back to Level 8Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

82. Level 8: Block 2: Handling Data 2 Construct, read information from interpret and draw conclusions from relative frequency diagrams. The addition law for the probability of either of two mutually exclusive events. Level descriptors Back to Level 8Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

83. Level 8: Block 3: Algebra 3 Factorise quadratic expressions of the form ax² + bx + c, where a = 1, including the difference of two squares Solve quadratic equations of the form ax² + bx + c = 0, where a = 1, by factorising Understand the word “identity”, and recognise and use the identity symbol Level descriptors Back to Level 8Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

84. Level 8: Block 3: S & S 3 Use trigonometry to solve problems in right-angled triangles. Level descriptors Back to Level 8Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

85. Level 8: Block 3: Handling Data 3 The multiplication law for the probability of two independent events. Use tree diagrams to represent outcomes of compound events, recognising when events are independent. Level descriptors Back to Level 8Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

86. Level 8: Block 3: Algebra 4 Change the subject of a formula which includes powers and roots Use co-ordinates in 3D Level descriptors Back to Level 8Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

87. Level 8: Block 4: Algebra 5 Plot straight line graph using gradient- intercept method Understand that the form y = mx + c represents a straight line and that m is the gradient of the line and c is the value of the y-intercept. Understand the gradients of parallel lines. Level descriptors Back to Level 8Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

88. Level 8: Block 4: S & S 4 Straight edge and compass constructions: perpendicular from a point to a line, perpendicular at a point on a line and an angle of 60º Level descriptors Back to Level 8Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

89. Level 8: Block 4: Algebra 6 Draw and interpret graphs of quadratic, cubic and reciprocal functions Sketch graphs of linear, quadratic, cubic and reciprocal functions, recognising their general features. Sketch graphs that model real situations. Construct quadratic and other functions from real-life problems and plot their corresponding graphs. Level descriptors Back to Level 8Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

90. Level 8: Block 4: Handling Data 4 Compare distributions and make inferences, including use of average and inter-quartile range Level descriptors Back to Level 8Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

91. Grade A/A*: Block 1: Number 1 Understand and use rational and irrational numbers. Simplification of surds Calculations with and manipulation of surds Rationalising a denominatorv Level descriptors Back to Level 8Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

92. Grade A/A*: Block 1: Algebra 1 Factorise quadratics where a > 1, including the difference of two squares Solve quadratic equations by factorising where a > 1 Solve quadratic equations by completing the square Solve quadratic equations by using the formula Level descriptors Back to Level 8Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

93. Grade A/A*: Block 1: S & S 1 Sine and cosine rules Area of triangle = ½ab sin C Use trigonometry and Pythagoras’s theorem to solve problems in three dimensions. Level descriptors Back to Level 8Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

94. Grade A/A*: Block 1: Handling Data 1 Construct, read information from, interpret and draw conclusions from histograms with unequal class intervals Sophisticated and rigorous interpretations of data Statistical functions on a calculator Analyse significance of findings Level descriptors Back to Level 8Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

95. Grade A/A*: Block 2: Number 2 Appreciate the continuous nature of scales that are used to make measurements. Determine the bounds of intervals. Calculate and use upper and lower bounds Bounds of results of calculations Exponential growth Level descriptors Back to Level 8Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

96. Grade A/A*: Block 2: Algebra 2 Solve problems using intersections and gradients of graphs. Understand the gradients of perpendicular lines. Find the intersection points of the graphs of a linear and quadratic function, knowing that these are the approximate solutions of the corresponding simultaneous equations Solve simultaneous equations in two variables where one equation is linear and the other is quadratic (y = ax 2 + bx + c). Level descriptors Back to Level 8Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

97. Grade A/A*: Block 2: S & S 2 Sketch the graphs of sine, cosine and tangent functions for any angle. Generate and interpret graphs based on sine, cosine and tangent functions. Use sine, cosine and tangent of angles of any size. Level descriptors Back to Level 8Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

98. Grade A/A*: Block 2: Handling Data 2 Understanding of place value in integers. Multiply and divide whole numbers by 10 or 100. Approximate to nearest 10, 100, 1000. Level descriptors Back to Level 8Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

99. Grade A/A*: Block 3: Algebra 3 Simplify algebraic fractions Four rules of algebraic fractions Equations with fractions leading to quadratic equations Change the subject when new subject appears twice Use algebra to prove generalisations Level descriptors Back to Level 8Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

100. Grade A/A*: Block 3: S & S 3 Calculate lengths of circular arcs and areas of sectors, and calculate the surface area of cylinders and volumes of cones and spheres. Use of p in exact calculations Area/perimeter of complex compound shapes, e.g. including circular arcs Solve problems including more complex shapes and solids, including compound shapes and frustums. Level descriptors Back to Level 8Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

101. Grade A/A*: Block 3: Handling Data 3 Recognise when and how to work with probabilities associated with independent, mutually exclusive events. Conditional probability Level descriptors Back to Level 8Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

102. Grade A/A*: Block 3: Algebra 4 Use rules of indices for negative and fractional values. Understand and use direct and inverse proportion. Find formulae that approximately connect data. Graphical representation of inequality in two variables (using dashed lines to represent strict inequalities and solid lines to represent non-strict inequalities) Approximate solution of a quadratic equation by drawing a straight line to intersect with another (given) quadratic. Level descriptors Back to Level 8Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

103. Grade A/A*: Block 4: S & S 4 Circle theorems: cyclic quadrilaterals, angle at centre, angle in semi-circle, angles in same segment, alternate segment Construct formal geometric proofs (including use of congruent triangles and circle theorems). Level descriptors Back to Level 8Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

104. Grade A/A*: Block 4: Algebra 5 Transformation of curves Graphs of simple loci Knowledge of equation of a circle of radius r, centre (0,0) Graphs of the exponential function y = kx for integer values of x and simple positive values of k Level descriptors Back to Level 8Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

105. Grade A/A*: Block 4: S & S 5 Enlarge by a negative scale factor Use the effect of enlargement on perimeter, area and volume in calculations Level descriptors Back to Level 8Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline

106. Grade A/A*: Block 4: S & S 6 Understand and use vector notation; calculate, and represent graphically the sum of two vectors, the difference of two vectors and a scalar multiple of a vector; calculate the resultant of two vectors; understand and use the commutative and associative properties of vector addition; solve simple geometrical problems in 2D using vector methods. Level descriptors Back to Level 8Programme of studyKey terms and notationAPPR & C Nrich Activities Textbook Resources Electronic Resources AFL Review Tests Back to Outline