KEY Methods 1 Applications 1 Methods 2 Applications 2 AQA GCSE Linked Pair Pilot Route Map – Higher Tier (Year 10) Year 10 OCTOBER SEPTEMBER Wk1 Wk2 Wk3 Basic Algebra Wk4 Indices and Powers Wk5 Basic Algebra NOVEMBER Wk11 Algebraic Argument Wk6 Wk12 Ratio and Proportion Holiday Wk22 Equations, Formulae and Inequalities Wk13 Wk14 Ratio and Proportion Wk15 Coordinates and Graphs Wk23 Collecting Data Wk24 Wk31 Wk32 Holiday Wk16 Revision Wk17 Holiday Holiday Wk18 Wk25 Wk26 Wk27 March Examinations Statistical Measures Representing Data Wk34 Limits Equations, Graphs and Formulae Wk28 Wk42 Wk43 Wk35 Finance Number Wk44 Wk20 Linear Programming Wk29 Wk36 Wk30 Scatter Graphs Advanced Graphs JUNE Wk37 Wk38 Holiday Probability Wk39 Wk40 Probability JULY June Examinations Fractions, Decimals and Percentages Wk19 January Examinations MAY Wk33 Wk10 November Examinations MARCH Holiday JUNE Wk41 Wk9 Fractions , Decimals and Percentages JANUARY APRIL June Examinations Number Number FEBRUARY Wk21 Wk8 DECEMBER JANUARY Holiday Wk7 NOVEMBER Wk45 Multiples, Factors and Primes Year 11 AQA GCSE Linked Pair Pilot Route Map – Higher Tier (Year 11) Year 11 OCTOBER SEPTEMBER Wk1 Venn Diagrams Wk2 Wk3 Algebraic Manipulation Wk4 Wk5 Polygons and Circles Wk12 Wk13 Perimeter, Area and Volume Shapes Wk14 Wk15 Pythagoras and Trigonometry Wk22 Measures Wk23 Holiday Wk24 Percentage, Ratio and Proportion Wk16 Wk32 Holiday Holiday Wk33 Pythagoras and Trigonometry Wk34 Wk25 Equations Wk35 Angles Bearings Transformations JULY Wk42 June Examinations Year 10 Wk43 Wk44 Wk10 November Examinations Holiday Sequences Similarity Wk18 Circle Theorems and Proof Wk19 Wk20 January Examinations Approximation and Calculators Number MARCH Wk26 Wk27 Coordinates and Graphs MAY JUNE June Examinations Wk17 Holiday APRIL Wk31 Wk9 JANUARY FEBRUARY Wk21 Wk41 Transformations and Vectors Wk8 DECEMBER JANUARY Trial and Improvement Wk7 Coordinates Equations Angles NOVEMBER Wk11 Wk6 NOVEMBER Wk45 Wk36 Perimeter, Area and Volume Wk28 March Examinations Linear and Real Life Graphs Wk37 Loci and Construction Wk38 Wk29 Wk30 Polygons and Circles Shapes Holiday JUNE Wk39 Wk40 Holiday Revision Unit M1 – Basic Algebra (Slide 1 of 2) Specification reference: Continued on next page Teachers own notes Distinguish the different roles played by letter symbols in algebra, using the correct notation. Distinguish in meaning between the words equation, inequality, formula and expression. The meaning of identity and knowledge of the identity symbol will also be expected. Return to Routemap View next page Unit M1 – Basic Algebra (Slide 2 of 2) Specification reference: Teachers own notes Manipulate algebraic expressions by collecting like terms, by multiplying a single term over a bracket, taking out common factors. Multiplying two linear expressions, factorising quadratic expressions including the difference of two squares, and simplifying rational expressions. This includes (x ± a) (x ± b) and (cx ± a) (dx ± b) at Higher tier. Candidates should be able to cancel rational expressions and apply the four rules to algebraic fractions. M2 (A2), A1 (A1) Return to Routemap View previous page Unit M1 – Indices and Powers Specification reference: Understand and use numbers and their representations including powers, roots, indices (integers). Extend to fractional and negative indices, and use of standard index form. Return to Routemap Teachers own notes Unit A1 – Basic Algebra Specification reference: Manipulate algebraic expressions by collecting like terms, by multiplying a single term over a bracket, and by taking out common factors. Return to Routemap Teachers own notes Unit M1 – Number (Slide 1 of 3) Specification reference: Continued on next page Teachers own notes Understand and use number operations and the relationships between them, including inverse operations and hierarchy of operations. Return to Routemap View next page Unit M1 – Number (Slide 2 of 3) Specification reference: Continued on next page Teachers own notes Understand and use arithmetic of real numbers: add, subtract, multiply and divide any number. Understand and apply exact calculation with surds and π , as well as the simplification of surds including rationalising a denominator. Non-calculator arithmetic competency will be assessed in this unit. Calculations will be restricted to 3 digit integers and decimals up to two decimal places. Multiplication will be limited to 3- digit integers by 2-digit integers. For non-calculator work multiplication and division of decimals will be limited to multiplying or dividing by a single digit integer or decimal number to 1 significant figure. Addition and subtraction of fractions without a calculator will be assessed. Return to Routemap View previous page View next page Unit M1 – Number (Slide 3 of 3) Specification reference: Teachers own notes Approximate to appropriate degrees of accuracy. Use the concepts and vocabulary of factor (divisor), multiple and prime numbers. The explicit testing of these terms will be in M2. Use calculators effectively and efficiently. Candidates should know not to round off values during the intermediate steps of a calculation. Return to Routemap View previous page Unit A1 – Number Specification reference: Understand and use number operations and the relationships between them, including inverse operations and hierarchy of operations. Numbers and their representations including powers, roots, indices (integer values). Extend to fractional and negative indices, and use of standard index form. Use calculators effectively and efficiently, including statistical functions. Candidates should know not to round off values during the intermediate steps of a calculation. Return to Routemap Teachers own notes Unit M1 – Fractions, Decimals and Percentages Specification reference: Understand that 'percentage' means 'number of parts per 100' and use this to compare proportions. Use multipliers for percentage change. Work with repeated percentage change; solve reverse percentage problems. Interpret fractions, decimals and percentages as operators. In non-calculator questions, candidates should be able to calculate 1% and 10% of quantities as a starting point and use ‘build-up’ methods. Return to Routemap Teachers own notes Unit A1 – Fractions, Decimals and Percentages Specification reference: Understand that 'percentage' means 'number of parts per 100' and use this to compare proportions. Use multipliers for percentage change. Work with repeated percentage change; solve reverse percentage problems. Calculations with percentages in financial and other realistic contexts will feature in this unit Interpret fractions, decimals and percentages as operators. Candidates should be able to use a calculator to apply the four rules to fractions and decimals in problems. Return to Routemap Teachers own notes Unit M1 – Algebraic Argument Specification reference: Use algebra to support and construct arguments. Use algebra to construct simple proofs. Return to Routemap Teachers own notes Unit M1 – Ratio and Proportion Specification reference: Understand and use the relationship between ratio, fractions and decimal representations. Including recurring and terminating decimals. Including reduction of a ratio to its simplest form. Understand and use direct proportion. Extend to include inverse proportion. Divide a quantity in a given ratio. Return to Routemap Teachers own notes Unit A1 – Ratio and Proportion Specification reference: Understand and use direct proportion. Extend to include inverse proportion. Divide a quantity in a given ratio. Return to Routemap Teachers own notes Unit M1 – Coordinates and Graphs Specification reference: Use the conventions for coordinates in the plane and plot points in all four quadrants. 3D coordinate systems. Recognise and plot equations that correspond to straight-line graphs in the coordinate plane. Return to Routemap Teachers own notes Unit M1 – Equations, Graphs and Formulae (Slide 1 of 2) Specification reference: Continued on next page Teachers own notes Set up, and solve simple equations and inequalities. Set up and use equations that describe direct and inverse proportion. Candidates would be expected to set up an equation using a constant of proportionality. Set up, and solve simultaneous equations in two unknowns where one of the equations might include squared terms in one or both unknowns. Solve quadratic equations approximately using a graph. Return to Routemap View next page Unit M1 – Equations, Graphs and Formulae (Slide 2 of 2) Specification reference: Teachers own notes Derive a formula, substitute numbers into a formula and change the subject of a formula. At Foundation tier formulae to be rearranged will need at most two operations. Formulae where a power appears will not be tested at Foundation tier. In Higher tier questions the subject may appear twice. Return to Routemap View previous page Unit A1 – Linear Programming Specification reference: Set up and solve problems in linear programming, finding optimal solutions. Return to Routemap Teachers own notes Unit A1 – Equations, Formulae and Inequalities (Slide 1 of 3) Specification reference: Continued on next page Teachers own notes Set up, and solve simple equations and inequalities. Derive a formula, substitute numbers into a formula. Return to Routemap View next page Continued on next page Unit A1 – Equations, Formulae and Inequalities (Slide 2 of 3) Specification reference: Teachers own notes Solve linear inequalities in one variable, and represent the solution set on a number line. Solve linear inequalities in two variables, and represent the solution set on a suitable diagram. Candidates should know and use the symbols <, >, ≤ and ≥. Candidates should know the convention of an open circle on a number line for a strict inequality and a closed circle for an included boundary. Higher tier candidates should identify regions on a 2D coordinate grid. The convention of a dashed line for strict inequalities and a solid line for an included inequality need not be known. Return to Routemap Return to previous page View next page Unit A1 – Equations, Formulae and Inequalities (Slide 3 of 3) Specification reference: Teachers own notes Set up and solve linear simultaneous equations in two unknowns. Return to Routemap Return to previous page Unit A1 – Collecting Data (Slide 1 of 2) Specification reference: Continued on next page Teachers own notes Understand and use the statistical problem solving process/handling data cycle which involves o specifying the problem and planning o collecting data o processing and presenting the data o interpreting and discussing the results. Including knowing and using the term “hypothesis” for a general prediction which is to be tested. Higher tier candidates will be expected to choose suitable sampling methods, discuss bias, provide sophisticated and rigorous interpretations of their data and provide an analysis of how significant their findings are. Return to Routemap View next page Unit A1 – Collecting Data (Slide 2 of 2) Specification reference: Teachers own notes Design an experiment or survey, identifying possible sources of bias. An understanding of the terms “primary data” and “secondary data” is expected. Design data-collection sheets distinguishing between different types of data. Includes observation, controlled experiment, data logging questionnaires and surveys. Extract data from publications, charts, tables and lists. Return to Routemap Return to previous page Unit A1 – Representing Data (Slide 1 of 3) Specification reference: Continued on next page Teachers own notes Design, use and interpret two-way tables for discrete and grouped data. Look at data to find patterns and exceptions. For example identifying a “rogue” value from a scatter diagram. Compare distributions and make inferences. Comparisons of average and range at tier F, and average and inter-quartile range at tier H. Produce and interpret charts and diagrams for categorical data including bar charts, multiple bar charts, pie charts and pictograms. Return to Routemap View next page Continued on next page Unit A1 – Representing Data (Slide 2 of 3) Specification reference: Teachers own notes Produce and interpret diagrams for grouped and ungrouped numerical data, including tally charts, vertical line graphs, stem-and-leaf diagrams, frequency polygons and histograms with equal class intervals. Produce and interpret diagrams for grouped discrete data and continuous data, including histograms with unequal class intervals. Candidates should be able to read information from and interpret these charts and diagrams. Produce and use cumulative frequency graphs and box-and-whisker plots. Return to Routemap Return to previous page View next page Unit A1 – Representing Data (Slide 3 of 3) Specification reference: Teachers own notes Work with time series including their graphical representation. Work with moving averages including their graphical representation. Candidates will be expected to comment on and use the trends shown by the moving average, and use it to predict further values. Return to Routemap Return to previous page Unit A1 – Statistical Measures Specification reference: Calculate, median, mean, range, mode and modal class. For grouped data, estimate quartiles and interquartile range. From charts, diagrams, lists and tables of data, including median and range from a stem-and-leaf diagram. Discuss and start to estimate risk. Return to Routemap Teachers own notes Unit M1 – Advanced Graphs (Slide 1 of 2) Specification reference: Continued on next page Teachers own notes Use y = mx + c and understand the relationship between gradients of parallel and perpendicular lines. Candidates will be expected to obtain the equation of a line perpendicular to a known line. Draw, sketch, recognise graphs of linear, quadratic simple cubic functions, the reciprocal function y = with x 0, the function y = kx for integer values of x and simple positive values of k, the trigonometric functions y = sin x, y = cos x and y = tan x. Return to Routemap View next page Unit M1 – Advanced Graphs (Slide 2 of 2) Specification reference: Teachers own notes Understand and use the Cartesian equation of a circle centred at the origin and link to the trigonometric functions. Construct the graphs of simple loci. Sketch simple transformations of a given function. Return to Routemap View previous page Unit A1 – Scatter Graphs Specification reference: Recognise correlation and draw and/or use lines of best fit by eye, understanding and interpreting what these represent, and appreciating that correlation does not imply causality. Candidates will be required to recognise when correlation is weak or strong, positive or negative, but will not be asked to comment on the reliability of the data. Candidates should understand that using a line of best fit outside the plotted range may not be reliable. Return to Routemap Teachers own notes Unit A1 – Limits Specification reference: Approximate to appropriate degrees of accuracy. Understand and use upper and lower bounds. Including maximum and minimum. Questions will be set in context and could be linked to statistical problems. Return to Routemap Teachers own notes Unit A1 – Finance (Slide 1 of 2) Specification reference: Continued on next page Teachers own notes Carry out calculations relating to enterprise, saving and borrowing, appreciation and depreciation. Understand AER. Candidates should be familiar with common terms such as VAT, income tax and interest rates. Compound interest calculations will be required on higher tier. Use mathematics in the context of personal and domestic finance including loan repayments, budgeting, RPI and CPI exchange rates and commissions. Return to Routemap View next page Unit A1 – Finance (Slide 2 of 2) Specification reference: Teachers own notes Use spreadsheets to model financial, statistical and other numerical situations. Including the use of a simple formula. Construct and use flow charts. These may be set in financial or other contexts. Return to Routemap Return to previous page Unit M1 – Probability (Slide 1 of 3) Specification reference: Continued on next page Teachers own notes Understand and use the vocabulary of probability and the probability scale. Words used will be ‘impossible’, ‘very unlikely’, ‘unlikely’, ‘evens’, ‘likely’, ‘very likely’ and ‘certain’. Use Venn diagrams to represent the number of possibilities and hence find probabilities. Questions will involve knowledge and use of set notation, A, A’, A ∩ B, A U B. Use tree diagrams to represent outcomes of compound events, recognising when events are independent or dependent. Return to Routemap View next page Unit M1 – Probability (Slide 2 of 3) Specification reference: Continued on next page Teachers own notes Know when to add or multiply probabilities: if A and B are mutually exclusive, then the probability of A or B occurring is P(A) + P(B); if A and B are independent events, the probability of A and B occurring is P(A)× P(B). Includes conditional probability. Compare experimental data and theoretical probabilities, and make informal inferences about the validity of the model giving rise to the theoretical probabilities. Knowledge of the term ‘relative frequency’ is expected. Return to Routemap View previous page View next page Unit M1 – Probability (Slide 3 of 3) Specification reference: Teachers own notes Understand that when a statistical experiment or survey is repeated there will usually be different outcomes, and that increasing sample size generally leads to better estimates of probability and population characteristics. Return to Routemap View previous page Unit A1 – Probability (Slide 1 of 2) Specification reference: Continued on next page Teachers own notes Understand and use the vocabulary of probability and the probability scale. In this unit, probability questions will be about applying probability theory to statistical problems. Understand and use theoretical models for probabilities including the model of equally likely outcomes. Understand and use estimates of probability from relative frequency. Return to Routemap View next page Unit A1 – Probability (Slide 2 of 2) Specification reference: Teachers own notes Understand that when a statistical experiment or survey is repeated there will usually be different outcomes, and that increasing sample size generally leads to better estimates of probability and population characteristics. Return to Routemap Return to previous page Unit M2 – Number (Slide 1 of 3) Specification reference: Continued on next page Teachers own notes Understand and use number operations and the relationships between them, including inverse operations and hierarchy of operations. Arithmetic of real numbers. Including exact calculation with surds and π Answers may be required in these forms. Numbers and their representations including powers, roots, indices (integers). Return to Routemap View next page Unit M2 – Number (Slide 2 of 3) Specification reference: Continued on next page Teachers own notes Approximate to specified degrees of accuracy including a given power of ten, number of decimal places and significant figures. Nearest ten, hundred or thousand at Foundation tier. Understand that 'percentage' means 'number of parts per 100' and use this to compare proportions. Understand and use the relationship between ratio and fractions. Return to Routemap View previous page View next page Unit M2 – Number (Slide 3 of 3) Specification reference: Teachers own notes Find proportional change, using fractions, decimals and percentages. Including repeated proportional change. Use calculators effectively and efficiently. Including trigonometric functions. Candidates should know not to round off values during the intermediate steps of a calculation. Return to Routemap View previous page Unit M2 – Multiples, Factors and Primes Specification reference: Use the concepts and vocabulary of factor (divisor), multiple, common factor, common multiple, highest common factor, least common multiple, prime number and prime factor decomposition. Understand that factors of a number can be derived from its prime factorisation. Return to Routemap Teachers own notes Unit M2 – Venn Diagrams Specification reference: Understand and use Venn diagrams to solve problems. Simple numerical problems where the use of a Venn diagram aids the solution. Set notation will not be assessed in this unit Return to Routemap Teachers own notes Unit M2 – Algebraic Manipulation Specification reference: Distinguish the different roles played by letter symbols in algebra, using the correct notation. Manipulate algebraic expressions by collecting like terms, by multiplying a single term over a bracket, taking out common factors. Multiplying two linear expressions, factorising quadratic expressions including the difference of two squares, and simplifying rational expressions. Return to Routemap Teachers own notes Unit M2 – Angles Specification reference: Recall and use properties of angles at a point, angles at a point on a straight line (including right angles), perpendicular lines, and vertically opposite angles. Understand and use the angle properties of parallel and intersecting lines, triangles and quadrilaterals. Candidates should know the meaning and properties of ‘alternate’, ‘corresponding’, ‘interior’ and ‘vertically opposite’ angles. Colloquial terms such as ‘Z angles’ should not be used. Candidates should know the names and properties of isosceles, equilateral, right-angled and scalene triangles. Return to Routemap Teachers own notes Unit M2 – Equations Specification reference: Set up, and solve simple equations. Solve quadratic equations exactly by factorising, completing the square and using the formula. Recognise and use equivalence in numerical, algebraic and graphical representations. Candidates should be able to move from one form of representation to another to get different perspectives on the problem. Return to Routemap Teachers own notes Unit M2 – Coordinates Specification reference: Use the conventions for coordinates in the plane and plot points in all four quadrants. Use geometric information to complete diagrams on a co-ordinate grid. Return to Routemap Teachers own notes Unit M2 – Transformations and Vectors (Slide 1 of 2) Specification reference: Continued on next page Teachers own notes Describe and transform 2D shapes using single or combined rotations, reflections, translations, or enlargements by a positive scale factor and distinguish properties that are preserved under particular transformations. Enlargements by positive fractional and negative scale factors. Use 2D vectors to describe translations. Return to Routemap View next page Unit M2 – Transformations and Vectors (Slide 2 of 2) Specification reference: Teachers own notes Use vectors to solve simple geometric problems and construct geometric arguments. 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. Return to Routemap View previous page Unit M2 – Similarity Specification reference: Understand congruence and similarity, including the relationship between lengths, in similar figures. Including the relationship between areas and volumes of similar shapes. Return to Routemap Teachers own notes Unit M2 – Sequences Specification reference: Generate terms of a sequence using term-toterm and position-to-term definitions. Form linear expressions to describe the nth term of a sequence. Form quadratic expressions to describe the nth term of a sequence. Return to Routemap Teachers own notes Unit M2 – Polygons and Circles (Slide 1 of 2) Specification reference: Continued on next page Teachers own notes Calculate and use the sums of the interior and exterior angles of polygons. Candidates should be able to calculate the values of the interior angle, exterior angle and angle at the centre of regular polygons. At Foundation tier these will be restricted to triangle, square, pentagon, hexagon, octagon, nonagon and decagon. Solve problems in the context of tiling patterns and tessellation. Candidates will be required to know that the sum of the angles at a point is 360º Return to Routemap View next page Unit M2 – Polygons and Circles (Slide 2 of 2) Specification reference: Teachers own notes Distinguish between centre, radius, chord, diameter, circumference, tangent, arc, sector and segment. Return to Routemap View previous page Unit M2 – Shapes Specification reference: Recall the properties and definitions of special types of quadrilateral, including square, rectangle, parallelogram, trapezium, kite and rhombus. Recognise reflection and rotation symmetry of 2D shapes. Return to Routemap Teachers own notes Unit M2 – Perimeter, Area and Volume Specification reference: Calculate perimeters and areas of shapes made from triangles and rectangles. Extend to other compound shapes. e.g. shapes made from circles or part circles with other known shapes. Calculate volumes of right prisms and of shapes made from cubes and cuboids. Including cylinders. Solve mensuration problems involving more complex shapes and solids. Including cones and spheres. Including compound shapes and frustums. Return to Routemap Teachers own notes Unit M2 – Pythagoras and Trigonometry Specification reference: Use Pythagoras’ theorem in 2D. Extend to 3D. Use the trigonometric ratios to solve 2D and 3D problems. Use the sine and cosine rules to solve problems in 2D and 3D. Calculate the area of a triangle using ab sin C. Return to Routemap Teachers own notes Unit M2 – Circle Theorems and Proof (Slide 1 of 2) Specification reference: Continued on next page Teachers own notes Understand, prove and use circle theorems and the intersecting chords theorem. Includes cyclic quadrilaterals; angle at centre is twice angle at circumference; angle in a semi-circle is 90º; angles in the same segment are equal; opposite angles in cyclic quadrilateral sum to 180º; alternate segment theorem. Understand and use the midpoint and the intercept theorems. The two forms of the midpoint theorem should be known. Return to Routemap View next page Unit M2 – Circle Theorems and Proof (Slide 2 of 2) Specification reference: Teachers own notes Understand and construct geometrical proofs using formal arguments, including proving the congruence, or non congruence of two triangles in all possible cases. Return to Routemap View previous page Unit A2 – Number Candidates should be able to: Distinguish between centre, radius, chord, diameter, circumference, tangent, arc, sector and segment. Find circumferences of circles and areas enclosed by circles. Return to Routemap Teachers own notes Unit A2 – Approximation and Calculators Candidates should be able to: Approximate to specified degrees of accuracy including a given power of ten, number of decimal places and significant figures. Nearest ten, hundred or thousand at Foundation tier. Use calculators effectively and efficiently. Including trigonometric functions. Candidates should know not to round off values during the intermediate steps of a calculation. Return to Routemap Teachers own notes Unit A2 – Trial and Improvement Candidates should be able to: Find approximate solutions of equations using systematic trial and improvement. Return to Routemap Teachers own notes Unit A2 – Measures (Slide 1 of 2) Candidates should be able to: Continued on next page Teachers own notes Interpret scales on a range of measuring instruments and recognise the inaccuracy of measurements. Convert measurements from one unit to another. Metric conversions should be known. Imperial to metric conversions will be limited to 5 miles ≈ 8 kilometres, 4.5 litres ≈ 1 gallon, 2.2 pounds ≈ 1 kilogram and 1 inch ≈ 2.5 centimetres. Make sensible estimates of a range of measures. Return to Routemap View next page Unit A2 – Measures (Slide 2 of 2) Candidates should be able to: Teachers own notes Understand and use compound measures in familiar and unfamiliar contexts. Including area, volume and speed at Foundation tier. Including density at Higher tier. Other measures will be defined in the question. Return to Routemap View previous page Unit A2 – Percentage, Ratio and Proportion Candidates should be able to: Understand that 'percentage' means 'number of parts per 100' and use this to compare proportions. Find proportional change. Repeated proportional change, exponential growth/decay, its relationship with repeated proportional change including financial and scientific applications. Divide a quantity in a given ratio. Return to Routemap Teachers own notes Unit A2 – Equations Candidates should be able to: Set up, and solve simple equations. Return to Routemap Teachers own notes Unit A2 – Coordinates and Graphs Candidates should be able to: Use the conventions for coordinates in the plane and plot points in all four quadrants. Recognise and plot equations that correspond to straight-line graphs in the coordinate plane. Find approximate solutions of equations using graphical methods. Return to Routemap Teachers own notes Unit A2 – Linear and Real Life Graphs (Slide 1 of 2) Candidates should be able to: Continued on next page Teachers own notes Find and interpret gradients and intercepts of straight line graphs in practical contexts. Construct linear functions from real-life problems and plot their corresponding graphs. Extend to quadratic and other functions. Interpret the gradient at a point on a curve as the rate of change. Recognise and use graphs that illustrate direct proportion. Extend to inverse proportion. Including distance-time graphs. Return to Routemap View next page Unit A2 – Linear and Real Life Graphs (Slide 2 of 2) Candidates should be able to: Teachers own notes Discuss, plot and interpret graphs (which may be non-linear) modelling real situations, including journeys / travel graphs. Including periodic graphs. Calculate areas under graphs consisting only of straight lines and interpret the result. Extend to estimates of areas under curves. Return to Routemap View previous page Unit A2 – Shapes Candidates should be able to: Recall the properties and definitions of special types of quadrilateral, including square, rectangle, parallelogram, trapezium, kite and rhombus. Recognise reflection and rotation symmetry of 2D shapes. Use 2D representations of 3D shapes. Return to Routemap Teachers own notes Unit A2 – Polygons and Circles Candidates should be able to: Distinguish between centre, radius, chord, diameter, circumference, tangent, arc, sector and segment. Find circumferences of circles and areas enclosed by circles. Return to Routemap Teachers own notes Unit A2 – Pythagoras’ Theorem and Trigonometry Candidates should be able to: Use Pythagoras’ theorem in 2D. Extend to 3D. Use the trigonometric ratios to solve 2D and 3D problems. Sine and cosine rule will not be assessed in this unit. Return to Routemap Teachers own notes Unit A2 – Angles Candidates should be able to: Measure and draw lines and angles. Recall and use properties of angles at a point, angles at a point on a straight line (including right angles), perpendicular lines, and vertically opposite angles. Understand and use the angle properties of parallel and intersecting lines, triangles and quadrilaterals. Candidates should know the names and properties of isosceles, equilateral, right-angled and scalene triangles. Return to Routemap Teachers own notes Unit A2 – Bearings Candidates should be able to: Understand and use bearings. Return to Routemap Teachers own notes Unit A2 – Transformations Candidates should be able to: Understand congruence and similarity, including the relationship between lengths, in similar figures. Including the relationship between areas and volumes of similar shapes. Return to Routemap Teachers own notes Unit A2 – Perimeter, Area and Volume Candidates should be able to: Calculate perimeters and areas of shapes made from triangles and rectangles. Extend to other compound shapes. e.g. shapes made from circles or part circles with other known shapes. Calculate volumes of right prisms and of shapes made from cubes and cuboids. Including cylinders. Solve mensuration problems involving more complex shapes and solids. Including cones and spheres. Including compound shapes and frustums Return to Routemap Teachers own notes Unit A2 – Loci and Constructions Candidates should be able to: Use and interpret maps and scale drawings. Draw triangles and other 2D shapes using a ruler, pair of compasses and protractor. Use straight edge and a pair of compasses to do constructions. Construct loci. Return to Routemap Teachers own notes