The table shows how topics were matched to grades before the change to 9-1 grading.

• Calculating upper and lower bounds for areas and volumes
• Surds in the form a + b √3
• Rationlise the denominator surds
• Manipulating fractional indices
• Solving simultaneous equations – one linear and one quadratic
• Solving quadratics by factorising, formula or completing the square
• Transforming graphs of y = f(x)+a, y = f(x + a), y = f(ax) and y = af(x)
• Knowing graphs of exponential and more complex functions
• Solve fractional linear equations
• Solving 3D trigonometry problems
• Use the sine and cosine rule and area of triangle = ½absinC
• Proofs of circle theorems
• Proofs of construction theorems
• Use Vectors to solve simple geometrical problems in 2-D
• Rearranging formulae where the variable occurs twice
• Solving algebraic problems, e.g. explain why (n+1)(n+20) is an even number
• Algebraic fractions
• Solving equations graphically
• The difference of two squares
• Simplifying algebra involving powers
• Calculating equation of line through a point and perpendicular to a given line
• Solutions to trig questions, e.g. Sinx = 0.5
• Graphs of trigonometrical functions
• Calculating surface area or volume of various solids
• Solving problems involving arcs, sectors and segments
• Pythagoras' Theorem in 3D shapes
• Similarity in length, area and volume
• Calculating the distance between points using 3D co-ordinates
• Congruent triangles- proofs
• Circle theorems-proofs
• Enlargement with negative fractional scale factor (-½)
• Histograms
• Stratified sampling
• Direct and inverse proportion
• Find probability for combined events

• Compound interest
• Calculating reverse percentage problems
• Calculating with fractions and mixed numbers
• Standard form
• Negative powers or indices
• The difference of 2 squares
• Solving inequalities graphically or algebraically
• Solving simultaneous equations graphically or algebraically
• Matching equations to graphs
• Factorising and solving simple quadratics equations
• Solving equations involving fractions
• Expanding brackets
• Using y=mx+c to find the gradient and equation of a line without drawing
• Solving cubic or quadratic equations graphically (when the graph is given)
• Recognising graphs of cubic and reciprocal functions
• Simplifying fractions where the denominator is an algebraic expression
• Factorising algebraic expressions
• Circle theorems
• Simple similar shapes
• Trigonometry
• Describing transformations
• Interior and exterior angles of polygons
• Finding dimensions of a formulae
• Using tree diagrams for probability
• Analysing data to compare with theoretical results
• Cumulative frequency table - draw box plots
• Cumulative frequency table - plot and find median, quartiles and IQR

• Using a calculator
• Multiplication and division by a number between 0 and 1
• Prime factor tree
• Fractions - adding, multiplying and division
• Estimation and division by a number less than 1
• Compound and simple interest
• Ratios
• Percentage decrease and increase
• Multiplication and division by powers of 10 and decimals
• Rules of powers (indices)
• Trial and improvement
• Rearranging simple formulae
• Solving equations
• Solving inequalities
• Expanding brackets and simplifying the result
• Graphs of simple quadratic equations
• Travel graphs
• Finding the nth term of a sequence
• Finding the length of a line given 2 points
• Substitution into complex formulae
• Construct the perpendicular bisector of a given line
• Constructing triangles
• Construct loci
• Finding volumes of 3D shapes
• Calculating area or circumference of a circle
• Transformations translation, rotation, reflection
• Pythagoras' Theorem
• Simple interior, exterior angles
• Bearings
• Drawing box plots
• Finding mean and median
• Questionnaires

• Estimation
• Calculating profit and loss
• Simple proportion
• Simple fractions
• Ratios in recipes
• Expanding brackets such as x(x+3)
• Factorising, e.g. x ² – 4x and 10x – 5
• Understanding linear graphs
• Substituting negative numbers into algebraic expressions
• Expanding and simplifying brackets and expressions
• Solving equations, including unknowns on both sides
• Converting from m² to cm²
• Area of triangle, regular polygons, compound shapes
• Drawing and measuring bearings
• Midpoint of a line from end co-ordinates
• Simple transformations
• Solving simple problems involving polygons
• Solving problems involving similar triangles (+ve scale factor)
• Constructing and interpreting plans and elevations
• Solving problems involving parallel lines
• Finding angle in a triangle
• Stem and leaf diagram
• Understanding and using relative frequency
• Finding missing probability from a list or table of results
• Scatter graphs
• Lines of best fit and type of correlation
• Mode, mean and modal class interval
• Questionnaires

• Simplifying ratios
• Using a calculator, e.g. 2.7³ and √32.56
• Rounding to 1 significant figure
• Simple fractions
• Long multiplication and division, including decimals
• Finding percentages
• Ordering fractions, decimals and percentages
• Calculating indices and roots, e.g. 3³, 4³ × 3³
• Using the four rules with negative numbers
• Calculating VAT
• Constructing simple linear graphs
• Simplifying simple algebra
• Using a formula inversely, e.g. find x if y=3 where y = 2x-1
• Using conversion graphs
• Recognising complex number sequences
• Solving simple equations, e.g. 3y + 2 = 8
• Geometry of triangles and quadrilaterals
• Measuring simple bearings
• Carrying out simple enlargements
• Converting between metric and imperial units using known facts
• Calculating simple volumes
• Completing tessellations
• Finding area and perimeter of rectangles and kites
• Identifying planes of symmetry
• Working with nets of shapes
• Constructing accurate drawings and angles
• Carrying out simple transformations
• Interpreting a stem and leaf diagram to find the median
• Interpreting a time series graph
• Using data collection sheets
• Finding probabilities from a 2-way table
• Sum of probabilities = 1
• Using 'fx' in a frequency table
• Constructing a pie chart
• Long multiplication and division: 3-digit by 2-digit
• Calculating simple percentages
• Calculating simple fractions
• Understanding the order of operations
• Rounding to various decimal places
• Understanding place value
• Finding simple squares, cubes and roots
• Factors of numbers
• Converting between fractions, decimals and percentages
• Using negative numbers
• Finding terms in a linear sequence
• Recognising non-linear number sequences
• Using co-ordinates in four quadrants
• Using simple formulae
• Solving simple equations, e.g. 4x = 24 and x–3=7
• Deriving simple expressions
• Estimating lengths
• Using simple scale drawings
• Naming, measuring and drawing angles
• Naming polygons
• Identifying lines of symmetry
• Identifying rotational symmetry
• Using the angle sum on a straight line = 180°
• Identifying faces, edges and vertices
• Simple probability
• Listing all outcomes for a single event
• Estimating probability from diagrams, pie charts and tables
• Finding range, and using to compare two distributions
• Finding mean and mode
• Interpreting pie charts
• Using bar charts to compare two sets of data
• Rounding to the nearest integer
• Interpreting bills and timetables
• Rounding to the nearest 10,100, 1000
• Identifying fractions from a shaded diagram
• Identifying percentages from a shaded diagram
• Calculating simple fractions of quantities (numerator of 1)
• Ordering decimals
• Ordering, reading and writing whole numbers
• Converting fractions to a ratio, e.g. 1/3 of a whole is 1:2
• Using co-ordinates in one quadrant
• Reading from simple real-life graphs
• Finding the next term in a simple linear sequence
• Finding areas, perimeters and volumes by counting
• Drawing 2D shapes
• Measuring and drawing lines
• Drawing circles
• Naming shapes
• Drawing lines of symmetry on a diagram
• Using a given line of reflection
• Completing accurate drawings of given shapes
• Finding median and mode using single digits
• Drawing and interpreting line graphs, bar charts and pictograms
• Making tables, lists and tally charts from discrete data
• Being able to choose the 'most likely' outcome from given information