AS and Alevel Maths route map Scheme of

AS and A-level Maths route map Scheme of work for two teachers Version 1. 0, September 2017

A-level Maths route map Scheme of work for two teachers Year 1: AS Mathematics Year 2: A-level Mathematics This route map has been created to provide a suggested teaching route for two teachers delivering the AS and A-level Mathematics specification over two years. It is designed to enable students to sit AS Maths at the end of Year 1, and A-level Maths at the end of Year 2. In each week, one teacher should deliver the content in the top row of tiles and a second teacher should deliver the content in the bottom row of tiles. Please note this route map provides a suggested route to teaching the qualification. The topics can be taught in any order over any length of time to suit your own students.

How to use the route map To activate the route map, open it in Power. Point, click on the Slide Show tab followed by the From Beginning button in the navigation bar. To customise the route map, drag and drop the coloured tiles to move topics around, and extend or reduce the size of the tiles to adjust the teaching time. You can then save your customised version of the route map. Clicking on a topic tile will give further information about the specification references and specification notes. Supporting resources for this teaching route are available on All About Maths.

AS and A-level Mathematics two-year route map Algebra and proof Geometry Calculus Trigonometry Exponentials and logarithms Sequences and series Statistics Mechanics Numerical methods

Use of data in statistics The Department for Education (Df. E) have set out the following requirements regarding the use of data in statistics as follows: 9. AS and A level mathematics specifications must require students to: • become familiar with one or more specific large data set(s) in advance of the final assessment (these data must be real and sufficiently rich to enable the concepts and skills of data presentation and interpretation in the specification to be explored) • use technology such as spreadsheets or specialist statistical packages to explore the data set(s) • interpret real data presented in summary or graphical form • use data to investigate questions arising in real contexts. 10. Specifications should require students to explore the data set(s), and associated contexts, during their course of study to enable them to perform tasks that assume familiarity with the contexts, the main features of the data and the ways in which technology can help explore the data. Specifications should also require students to demonstrate the ability to analyse a subset or features of the data using a calculator with standard statistical functions, as detailed in paragraph 8 (please see Df. E content for further information). We encourage the use of statistical data sets and statistical packages throughout the course of study of statistics. In this route map, we have set aside two weeks in year 12, weeks 35, 41 and 42, to encourage independent interrogation of data. In week 41, we suggest students study an A-level statistics topic and in week 35 and 42, we suggest students complete an activity using statistical packages. Note: It is up teachers to decide which statistics topics to use with statistical data sets and packages. The weeks suggested and the content suggested (N 2 and N 3) is an example.

A-level Year 2(new spec) – September 2018 (Mon 3&4, Tue 6&7, Thurs 1&2) Starters to revisit AS topics 29 – 2 Nov 17 -21 Sept 24 -28 Sept 15 -19 Oct B 6 -B 9 Functions and transformations (12. 2, 12. 4) J 1, J 5, Q 3 -Q 5 Kinematics in two dimensions (18. 1, 18. 3 -18. 4) G 1 -G 4 Further differentiation (15. 1 -15. 6) 5 – 9 Nov 12 -16 Nov 19 -23 Nov 7 -11 Jan PPE Week 14 -18 Jan 3 -7 Dec 11 -15 Mar O 1, O 3 Statistical hypothesis testing (21. 1, 21. 2) 28 -1 Feb 4 -8 Feb 11 -15 Feb 25 -29 Mar 1 -5 Apr I 1 – I 4 Numerical methods 17. 1 – 17. 4 8 -12 Apr Holiday 15 -19 Apr Holiday 10 -14 June B 11, G 6, H 7, H 8 Differential equations (16. 5) 22 -26 Apr 29 -3 May 6 -10 May 13 -17 May 20 -24 May 27 -31 May Holiday 3 -7 June 24 -28 June 1 -5 July 8 -12 July 15 -19 July 22 -26 July Holiday 29 -2 Aug July Holiday Paper 1 Core (5) Numerical methods Moments (19. 4) 18 -22 Feb Holiday Statics and dynamics R 5, R 6 Statics and dynamics (19. 2, 19. 3) 17 -21 June 17 -21 Dec B 10, H 6 Partial fractions and integration (12. 5, 16. 4) C 3 -C 4, G 4 -G 5 Parametric equations (12. 3, 15. 7, 15. 8) 18 -22 Mar 22 – 26 Oct Holiday N 2, N 3 Statistical distributions 20. 3, 20. 4 Vectors in 3 D (19. 1) 21 -25 Jan 10 -14 Dec D 1 – D 6 Binomial theorem, sequences and series (13. 1 -13. 4) Partial fractions and integration 4 -8 Mar 26 -30 Nov E 6, E 8 Trigonometry (14. 3 -14. 4) H 2 – H 5 Further integration (16. 1 -16. 3) 25 -1 Mar 8 -12 Oct E 1 -E 5 Trigonometry and circular measure (14. 1 -14. 2) M 2 -M 3 Further probability (20. 1 -20. 2) 24 -4 Jan Holiday 1 -5 Oct Paper 3 Core/Stat (14 pm) Review summer task 10 -14 Sept Paper 2 Core/Mec (12) 3 -7 Sept 5 -9 August Holiday

A-level Mathematics - 2 year Co-teaching Route Map, - AS Maths year 1, A-level Maths year 2 Year 1: AS Mathematics (2017 specification) Suggested scheme of work for two teachers Year 12 OCTOBER SEPTEMBER Wk 1 Wk 2 Wk 3 Algebraic manipulation, quadratic equations and simultaneous equations Wk 4 Wk 6 Binomial expansions NOVEMBER Wk 11 Differentiation Wk 12 Wk 13 Wk 14 Mock examinations and revision Integration JANUARY Wk 22 Data presentation and interpretation Wk 23 Probability and statistical distributions Wk 24 Holiday Wk 15 Mock examinations and revision Probability and statistical distributions Wk 16 Wk 17 Holiday Wk 18 Wk 19 Data presentation and interpretation Statistical sampling Vectors Wk 25 Wk 26 Wk 27 Wk 28 Wk 29 Exponentials and logarithms Wk 34 Wk 35 Analysis of data using statistical packages Statistical hypothesis testing JUNE Revision Wk 36 Summer examinations and revision JUNE Wk 37 Summer examination and revision Wk 38 Holiday Wk 39 Summer examinations and revision JULY Wk 42 Wk 43 Wk 44 Wk 30 Holiday MAY Wk 33 Wk 20 MARCH Forces and Newton’s laws Wk 41 Integration JANUARY APRIL Wk 32 Wk 10 Differentiation Holiday Kinematics in one dimension Proof Wk 31 Wk 9 Straight lines and circles FEBRUARY Wk 21 Wk 8 DECEMBER Differentiation Holiday Wk 7 Graphs, linear and quadratic inequalities Trigonometry Vectors Wk 5 NOVEMBER Wk 45 Statistical distributions Analysis of data using statistical packages Year 13 Wk 40 Summer examinations and revision

A-level Mathematics - 2 year Co-teaching Route Map, - AS Maths year 1, A-level Maths year 2 Year 2: A-level Mathematics (2017 specification) Suggested scheme of work for two teachers Year 13 OCTOBER SEPTEMBER Wk 1 Wk 2 Wk 3 Wk 4 Wk 5 Binomial theorem, sequences and series Wk 13 Numerical methods Parametric equations Numerical methods JANUARY Wk 14 Mock examinations and revision Wk 15 Mock examinations and revision Wk 22 Wk 23 Holiday Wk 16 Wk 32 Statistical distributions Wk 25 Differential equations Summer examinations and revision Wk 34 Statistical hypothesis testing Moments Wk 19 Partial fractions and integration Wk 26 Wk 27 Wk 28 Wk 29 Holiday Wk 35 Revision Wk 43 Wk 44 Wk 30 Holiday Statics and dynamics Equilibrium and resolving Wk 36 Summer examinations and revision JUNE Wk 37 Summer examinations and revision Wk 38 Holiday Wk 39 Summer examinations and revision JULY Wk 42 Wk 20 Trigonometry Further probability Statistical hypothesis testing JUNE Wk 41 Holiday Wk 18 MAY Wk 33 Parametric equations Further differentiation Further integration Wk 17 Holiday APRIL Wk 31 Wk 10 MARCH Wk 24 Kinematics in two dimensions Wk 9 JANUARY FEBRUARY Differential equations Statics and dynamics Holiday DECEMBER Wk 12 Wk 21 Wk 8 Further integration Functions and transformations NOVEMBER Further integration Wk 7 Further differentiation Trigonometry and circular measure Wk 11 Wk 6 NOVEMBER Wk 45 Summer examinations and revision Year 12 Wk 40 Summer examinations and revision

Year 1 AS Mathematics Return to Routemap

Algebraic manipulation, quadratic equations and simultaneous equations (slide 1 of 2) Specification content: Specification notes: Understand use the laws of indices for all rational B 1 exponents Use and manipulate surds, including rationalising the B 2 denominator Work with quadratic functions and their graphs; the discriminant of a quadratic function, including the conditions B 3 for real and repeated roots; completing the square; solution of quadratic equations including solving quadratic equations in a function of the unknown Continued on next page Return to Routemap

Algebraic manipulation, quadratic equations and simultaneous equations (slide 2 of 2) Specification content: Specification notes: Solve simultaneous equations in two variables by elimination B 4 and by substitution, including one linear and one quadratic equation Manipulate polynomials algebraically, including expanding • Assumed knowledge: simplifying and manipulating algebraic expressions brackets and collecting like terms, factorisation and simple algebraic division; use of the factor theorem B 6 • Simplifying rational expressions will be covered in year 13, Functions and transformations Return to Routemap

Graphs, linear and quadratic inequalities (slide 1 of 3) Specification content: Specification notes: B 5 Return to Routemap Continued on next page

Graphs, linear and quadratic inequalities (slide 2 of 3) Specification content: Specification notes: • Assumed knowledge: linear graphs, quadratic graphs, simple cubic graphs and reciprocal graphs • The modulus function will be covered in year B 7 13, Functions and transformations Return to Routemap Continued on next page

Graphs, linear and quadratic inequalities (slide 3 of 3) Specification content: Specification notes: • Assumed knowledge: sketching translations of a given function B 9 • Combinations of transformations will be covered in year 13, Functions and transformations Return to Routemap

Straight lines and circles (slide 1 of 2) Specification content: Specification notes: C 1 Return to Routemap Continued on next page

Straight lines and circles (slide 2 of 2) Specification content: C 2 Return to Routemap Specification notes:

Binomial expansions Specification content: D 1 Return to Routemap Specification notes:

Differentiation (slide 1 of 2) Specification content: Specification notes: G 1 Continued on next page Return to Routemap

Differentiation (slide 2 of 2) Specification notes: • Apply differentiation to find gradients, tangents and Points of inflection will be covered in year 13, normals, maxima and minima and stationary points Further differentiation G 2 Specification content: G 3 • Identify where functions are increasing or decreasing Return to Routemap

Integration Specification content: Specification notes: Know and use the Fundamental Theorem of Calculus H 1 H 2 H 3 Evaluate definite integrals; use a definite integral to find the The area bounded by two curves will be covered area under a curve in year 13, Further integration Return to Routemap

Continued on next page Trigonometry (slide 1 of 2) Specification content: Specification notes: • Assumed knowledge: sine, cosine and tangent as the ratios of sides of a right-angled E 1 triangle • The use of radians will be covered in year 13, Trigonometry and circular measure E 3 Understand use the sine, cosine and tangent functions; The exact values of sine, cosine and tangent for their graphs, symmetries and periodicity common values will be covered in year 13, Trigonometry and circular measure The identities involving secant, cosecant and E 5 cotangent will be covered in year 13, Trigonometry and circular measure Return to Routemap Continued on next page

Trigonometry (slide 2 of 2) Specification content: Solve simple trigonometric equations in a given interval, E 7 including quadratic equations in sin, cos and tan and equations involving multiples of the unknown angle Return to Routemap Continued on next page Specification notes:

Vectors (slide 1 of 2) J 1 Specification content: Specification notes: Use vectors in two dimensions Vectors in three dimensions will be covered in year 13, Kinematics in two dimensions Calculate the magnitude and direction of a vector and J 2 convert between component form and magnitude/direction form Add vectors diagrammatically and perform the algebraic operations of vector addition and multiplication by scalars, J 3 and understand their geometrical interpretations Understand use position vectors; calculate the distance J 4 between two points represented by position vectors Return to Routemap Continued on next page

Vectors (slide 2 of 2) J 5 Specification content: Specification notes: Use vectors to solve problems in pure mathematics and in The use of vectors in kinematics problems will context, including forces be covered in year 13, Kinematics in two dimensions Return to Routemap

Proof Specification content: A 1 Return to Routemap Specification notes:

Exponentials and logarithms (slide 1 of 3) Specification content: Specification notes: F 1 F 2 Continued on next page Return to Routemap

Exponentials and logarithms (slide 2 of 3) Specification content: Specification notes: F 3 Assumed knowledge: the laws of indices for all rational exponents F 4 Return to Routemap Continued on next page

Exponentials and logarithms (slide 3 of 3) Specification content: F 5 F 6 Understand use exponential growth and decay; use in modelling (examples may include the use of e in continuous F 7 compound interest, radioactive decay, drug concentration decay, exponential growth as a model for population growth); consideration of limitations and refinements of exponential models Return to Routemap Specification notes:

Continued on next page Statistical sampling Specification content: Specification notes: • Understand use the terms ‘population’ and ‘sample’ • See slide 5 • Use samples to make informal inferences about the • Assumed knowledge: application of basic population • Understand use sampling techniques, including K 1 simple random sampling and opportunity sampling • Select or critique sampling techniques in the context of solving a statistical problem, including understanding that different samples can lead to different conclusions about the population Return to Routemap statistics to describe a population

Data presentation and interpretation (slide 1 of 3) Specification content: Specification notes: • See slide 5 Interpret diagrams for single-variable data, including L 1 understanding that area in a histogram represents frequency • Connect to probability distributions Continued on next page Return to Routemap

Data presentation and interpretation (slide 2 of 3) Specification content: Specification notes: • • See slide 5 • Assumed knowledge: recognise correlation Interpret scatter diagrams and regression lines for bivariate data, including recognition of scatter diagrams which include distinct sections of the population (calculations involving regression lines are excluded) L 2 • Understand informal interpretation of correlation • Understand that correlation does not imply causation Return to Routemap and know that it does not indicate causation Continued on next page

Data presentation and interpretation (slide 3 of 3) Continued on next page Specification content: Specification notes: • • See slide 5 • Assumed knowledge: quartiles and inter- Interpret measures of central tendency and variation, extending to standard deviation L 3 • Be able to calculate standard deviation, including from quartile range summary statistics • Recognise and interpret possible outliers in data sets and statistical diagrams L 4 • Select or critique data presentation techniques in the context of a statistical problem • Be able to clean data, including dealing with missing data, errors and outliers Return to Routemap See slide 5

Continued on next page Probability and statistical distributions Specification content: Specification notes: • • See slide 5 • Assumed knowledge: the 0 to 1 probability Understand use mutually exclusive and independent events when calculating probabilities M 1 • Link to discrete and continuous distributions Understand use simple, discrete scale probability distributions (calculation of mean and variance of discrete N 1 random variables is excluded), including the binomial distribution, as a model; calculate probabilities using the binomial distribution Return to Routemap See slide 5

Continued on next page Statistical hypothesis testing Specification content: Specification notes: Understand apply the language of statistical hypothesis • See slide 5 • The use of correlation coefficients in testing, developed through a binomial model: null O 1 hypothesis, alternative hypothesis, significance level, test statistic, 1 -tail test, 2 -tail test, critical value, critical region, hypothesis testing will be covered in year 13, acceptance region, p-value Statistical hypothesis testing • Conduct a statistical hypothesis test for the proportion in the binomial distribution and interpret the results in context O 2 • Understand that a sample is being used to make an inference about the population and appreciate that the significance level is the probability of incorrectly rejecting the null hypothesis Return to Routemap See slide 5

Analysis of data using statistical packages Specification content: See slide 5 Return to Routemap Continued on next page Specification notes

Kinematics in one dimension (slide 1 of 2) Specification content: Specification notes: • Moments be covered in year 13, Moments Understand use fundamental quantities and units in the S. I. system: length, time, mass P 1 • Understand use derived quantities and units: velocity, acceleration, force, weight Understand use the language of kinematics: position; Q 1 displacement; distance travelled; velocity; speed; acceleration Return to Routemap Continued on next page

Kinematics in one dimension (slide 2 of 2) Specification content: Specification notes: Understand, use and interpret graphs in kinematics for motion in a straight line: displacement against time and Q 2 interpretation of gradient; velocity against time and interpretation of gradient and area under the graph Q 3 Understand, use and derive the formulae for constant The extension to two dimensions will be acceleration for motion in a straight line covered in year 13, Kinematics in two dimensions The extension to use calculus techniques for motion in two dimensions using vectors will be Q 4 covered in year 13, Kinematics in two dimensions Return to Routemap

Forces and Newton’s laws (slide 1 of 3) Specification content: Specification notes: Understand the concept of a force; understand use R 1 Newton’s first law R 2 Understand use Newton’s second law for motion in a The extension to situations where forces need straight line (restricted to forces in two perpendicular to be resolved in two dimensions will be directions or simple cases of forces given as 2 -D vectors) covered in year 13, Equilibrium and resolving Continued on next page Return to Routemap

Forces and Newton’s laws (slide 2 of 3) Specification content: Specification notes: Understand use weight and motion in a straight line under gravity; gravitational acceleration, g , and its value in S. I. units to varying degrees of accuracy R 3 (the inverse square law for gravitation is not required and g may be assumed to be constant, but students should be aware that g is not a universal constant but depends on location) Continued on next page Return to Routemap

Forces and Newton’s laws (slide 3 of 3) R 4 Specification content: Specification notes: Understand use Newton’s third law; equilibrium of forces Resolving forces in two dimensions and the on a particle and motion in a straight line (restricted to forces equilibrium of a particle under coplanar forces in two perpendicular directions or simple cases of forces will be covered in year 13, Equilibrium and given as 2 -D vectors); application to problems involving resolving smooth pulleys and connected particles Return to Routemap

Continued on next page Statistical distributions Specification content: Specification notes • • See slide 5 • Note that N 2 and N 3 will be covered again in Understand use the Normal distribution as a model; find probabilities using the Normal distribution N 2 • Link to histograms, mean, standard deviation, points of year 13, Statistical distributions inflection and the binomial distribution Select an appropriate probability distribution for a context, with N 3 appropriate reasoning, including recognising when the binomial or Normal model may not be appropriate Return to Routemap See slide 5

Analysis of data using statistical packages Specification content: N 2 See slide 5 Return to Routemap Continued on next page Specification notes

Year 2 A-level Mathematics Return to Routemap

Binomial theorem, sequences and series (slide 1 of 2) Specification content: Specification notes: Assumed knowledge: covered in year 12, D 1 Binomial expansions D 2 D 3 Understand use sigma notation for sums of series Return to Routemap Continued on next page

Binomial theorem, sequences and series (slide 2 of 2) Specification content: D 4 D 5 D 6 Use sequences and series in modelling Return to Routemap Specification notes:

Trigonometry and circular measure (slide 1 of 2) E 1 Specification content: Specification notes: Work with radian measure, including use for arc length and area Assumed knowledge: covered in year 12, Trigonometry of sector E 2 Assumed knowledge: covered in year 12, Trigonometry E 3 Return to Routemap Continued on next page

Trigonometry and circular measure (slide 2 of 2) Specification content: Specification notes: Understand use the definitions of secant, cosecant and cotangent and of arcsin, arccos and arctan; their relationships to sine, cosine and tangent; understanding of their graphs; their E 4 ranges and domains Assumed knowledge: covered in year 12, Trigonometry E 5 Return to Routemap

Functions and transformations Specification content: Specification notes: Simplify rational expressions including by factorising and Assumed knowledge: covered in year 12, B 6 cancelling, and algebraic division (by linear expressions only) Algebraic manipulation, quadratic equations and B 7 The modulus of a linear function simultaneous equations Assumed knowledge: covered in year 12, Graphs, linear and quadratic inequalities Understand use composite functions; inverse functions and B 8 their graphs Combinations of transformations (translations and stretches) Assumed knowledge: covered in year 12, Graphs, B 9 linear and quadratic inequalities Return to Routemap

Further differentiation (slide 1 of 2) Specification content: Specification notes: Assumed knowledge: covered in year 12, Differentiation G 1 Assumed knowledge: covered in year 12, G 2 Differentiation G 3 Apply differentiation to find points of inflection Assumed knowledge: covered in year 12, Differentiation Return to Routemap Continued on next page

Further differentiation (slide 2 of 2) G 4 Specification content: Specification notes: Differentiate using the product rule, the quotient rule and the Assumed knowledge: covered in year 12, chain rule, including problems involving connected rates of Differentiation change and inverse functions Return to Routemap

Further integration (slide 1 of 2) Specification content: Specification notes: Assumed knowledge: covered in year 12, H 2 Integration Use a definite integral to find the area between two curves H 3 Assumed knowledge: covered in year 12, Integration Understand use integration as the limit of a sum H 4 Return to Routemap Continued on next page

Further integration (slide 2 of 2) Specification content: Carry out simple cases of integration by substitution and integration by parts; understand these methods as the inverse processes of the chain and product rules respectively H 5 (Integration by substitution includes finding a suitable substitution and is limited to cases where one substitution will lead to a function which can be integrated; integration by parts includes more than one application of the method but excludes reduction formulae) Return to Routemap Specification notes:

Numerical methods (slide 1 of 2) Specification content: Specification notes: I 1 I 2 Return to Routemap Continued on next page

Numerical methods (slide 2 of 2) Specification content: Understand use numerical integration of functions, including the use of the trapezium rule and estimating the I 3 approximate area under a curve and limits that it must lie between Use numerical methods to solve problems in context I 4 Return to Routemap Specification notes:

Parametric equations Specification content: Understand use the parametric equations of curves and C 3 conversion between Cartesian and parametric forms Use parametric equations in modelling in a variety of contexts C 4 Differentiate simple functions and relations defined implicitly or G 5 parametrically, for first derivative only Return to Routemap Specification notes:

Trigonometry Specification content: E 6 E 8 Construct proofs involving trigonometric functions and identities Return to Routemap Specification notes:

Partial fractions and integration Specification content: Decompose rational functions Specification notes: into partial fractions (denominators not more complicated than squared linear terms B 10 and with no more than 3 terms, numerators constant or linear) Integrate using partial fractions that are linear in the H 6 denominator Return to Routemap

Differential equations (slide 1 of 2) Specification content: Specification notes: B 11 Use of functions in modelling, including consideration of limitations and refinements of the models Differentiate simple functions and relations defined implicitly, for G 5 first derivative only Construct simple differential equations in pure mathematics and in context, G 6 (contexts may include kinematics, population growth and modelling the relationship between price and demand) Return to Routemap Continued on next page

Differential equations (slide 2 of 2) Specification content: Evaluate the analytical solution of simple first order differential equations with separable variables, including finding particular H 7 solutions (Separation of variables may require factorisation involving a common factor) Interpret the solution of a differential equation in the context of H 8 solving a problem, including identifying limitations of the solution; includes links to kinematics Return to Routemap Specification notes:

Kinematics in two dimensions (slide 1 of 2) J 1 J 5 Specification content: Specification notes: Use vectors in three dimensions Assumed knowledge: covered in year 12, Vectors Use vectors to solve problems in kinematics Assumed knowledge: covered in year 12, Vectors Use trigonometric functions to solve problems in context, E 9 including problems involving vectors, kinematics and forces Q 3 Understand, use and derive the formulae for constant Assumed knowledge: covered in year 12, acceleration for motion in 2 dimensions using vectors Kinematics in one dimension Return to Routemap Continued on next page

Kinematics in two dimensions (slide 2 of 2) Q 4 Specification content: Specification notes: Use calculus in kinematics for motion in 2 dimensions using Assumed knowledge: covered in year 12, vectors Kinematics in one dimension Model motion under gravity in a vertical plane using vectors; Q 5 projectiles Return to Routemap

Equilibrium and resolving R 2 Specification content: Specification notes: Understand use Newton’s second law for motion in Assumed knowledge: covered in year 12, Forces situations where forces need to be resolved (restricted to 2 and Newton’s laws dimensions) R 4 Resolving forces in 2 dimensions; equilibrium of a particle under Assumed knowledge: covered in year 12, Forces coplanar forces and Newton’s laws Return to Routemap

Statics and dynamics Specification content: Understand use addition of forces; resultant forces; R 5 dynamics for motion in a plane R 6 Return to Routemap Specification notes:

Moments Specification content: Specification notes: Understand use derived quantities and units: moment Assumed knowledge: covered in year 12, P 1 Kinematics in one dimension Understand use moments in simple static contexts S 1 Return to Routemap

Continued on next page Further probability Specification content: Specification notes: See slide 5 M 2 M 3 Modelling with probability, including critiquing assumptions made and the likely effect of more realistic assumptions Return to Routemap See slide 5

Continued on next page Statistical distributions Specification content: Specification notes • See slide 5 Understand use the Normal distribution as a model; find probabilities using the Normal distribution N 2 • Link to histograms, mean, standard deviation, points of inflection and the binomial distribution Select an appropriate probability distribution for a context, with N 3 appropriate reasoning, including recognising when the binomial or Normal model may not be appropriate Return to Routemap

Continued on next page Statistical hypothesis testing Specification content: Specification notes Understand apply correlation coefficients as measures of • See slide 5 • Assumed knowledge: covered in year 12, how close data points lie to a straight line and be able to interpret a given correlation coefficient using a given p-value or critical O 1 value (calculation of correlation coefficients is excluded) Conduct a statistical hypothesis test for the mean of a Normal distribution with known, given or assumed variance and interpret O 3 the results in context Return to Routemap Statistical hypothesis testing See slide 5