GCSE Additional Mathematics Information Seminar Corr’s Corner Hotel 6 th December 2011

Agenda Welcome and introductions Facts and Figures New specification Advice for candidates Reports on Paper 1 Paper 2 Questions and Answers

CCEA Website

Current Specification N Modules Revised Specification T Units January 2011 G2268 N1 – N6 Available for Award June 2011 G2268 N1 – N6 Available for Award T1, T2, T3 & T4 No Certification January 2012 G2268 N1 – N6 Last Award of G2268 T1, T2, T3 & T4 No Certification June 2012 No exams offered T1, T2, T3, T4 T5 & T6 Available for First Award January 2013 T1, T2, T3, T4 T5 & T6 Available for Award June 2013 T1, T2, T3, T4 T5 & T6 Available for Award

Unit T1, T2, T3, T4 Completion Test T5 Completion Test T6 AWARD Max UMS Grade A*162 – – – 400 A144 – – – 359 B126 – – – 319 C108 – – – 279 D90 – – – 239 E72 – 8988 – – 199 F54 – 7166 – 87(66 – 87)120 – 159 G36 – 5344 – 65(44 – 65)80 – 119 U0 – 350 – 43 0 – 79 Uniform Marks

Facts and Figures Specification has been examined since 2004 Stable entry – around 3500 candidates CCEA is committed to having an equivalent specification as long as demand exists Will remain in its current form and will be examined until Summer 2013 for the last time

New specification will be available for teaching from September 2012 and will be examined in Summer 2013 for the first time Is being revised and we had been seeking responses via the website link re structure and/or content of the new GCSE Further Mathematics specification. (Change of name) Additional/Further Mathematics

Main changes Each written examination will be in the form of a single question-and-answer booklet which will include a formula sheet. Sittings in Winter & Summer Minor Content changes/resit opportunities At least 40 percent of the assessment (based on unit weightings) must be taken at the end. Additional/Further Mathematics

ADDITIONAL MATHEMATICS PAPER

GENERAL ADVICE Students should make sure the calculator is in degree mode use a ruler to draw straight lines take a new page for each question (starting on the left side for the long questions) read each question carefully be careful copying down numbers use the formula sheet

GENERAL ADVICE Students should show all their work clearly, logically and tidily check their timing Suggest roughly 50 minutes questions 1 to 7 (1 minute more per number of marks) Suggest roughly 65 minutes questions 8 to 11 (2 minutes more per number of marks)

REVIEW OF LAST YEAR Questions well done: Questions 2, 3, 4, 6, 8 (i) – (v), 9 (i) – (iv) Parts of questions causing problems: Questions 7 (b) (c), 8 (vi), 10 (iii),(iv) Questions poorly done : Questions 1, 5, 11

AREAS FOR IMPROVEMENT Students should use the formula sheet organise their working present their working clearly and logically check answers if possible (Q2, 3, 6, 9, 10) attempt all the questions get the paper finished on time

SOME TIPS Students should highlight key words on the examination paper Questions 1 Sketch Questions 2, 3, 6, 9 Hence Question 5 Tangent, cuts x-axis, y-axis Questions 8 Write down Question 9 Label the axes, 3 decimal places, explain Question 10 Amounts in grams, explain Question 11 Justify, Sketch, Area

SOME TIPS Students should do some complete 2 hour papers to get an idea of managing the time be given the formula booklet be given copies of the mark schemes

Tips : Paper 1 Question 1 Set up a table of values Draw a smooth curve Show any turning points properly Show clearly where the curve cuts the axes

Tips : Paper 1 Question 2 Make sure the answers fit the given range Make sure there are only 2 answers Check the answers by substitution Set up an algebra equation in (ii)

Tips : Paper 1 Question 3 Use the formula sheet Don’t forget the determinant Show a clear matrix method Make sure the order of multiplication is correct Check the answers by substitution

Tips : Paper 1 Question 4 Change the fractional x term to a negative index first Treat a as a constant Leave 4 on the denominator in (b) Be careful working with negative numbers and fractions Remember to include the constant of integration (look at the number of marks) Check the formula sheet

Tips : Paper 1 Question 5 Show your method Need to know the links : Tangent → Differentiate Equation of a straight line → y = mx + c Be careful with negative indices Cuts x axis when y = 0 Cuts y axis when x = 0 Draw a sketch to help find the area Do plenty of examples of this type of question

Tips : Paper 1 Question 6 Expand each bracket at the side of the page Put brackets round each expression when you are manipulating the fractions Show ALL your working Show clearly how to get the final answer Use the given expression in (i) to solve (ii) Be careful with the signs when moving terms across the ‘=’ sign Check the answers by substitution

Tips : Paper 1 Question 7 Show clearly that you are taking logs in (a) Keep brackets around (2 – x/ 3 ) in the second line of your solution in (a) Use the relationship between logs and indices given on the formula sheet Add the terms in (b) Practice similar questions testing application of log theory ¾

Tips : Paper 1 Question 8 Use the formula sheet Sketch and label each triangle separately Write each new answer on the diagram on the question paper Look at the number of marks awarded when finding an angle

Tips : Paper 1 Question 9 State the log equation explicitly Set up a table of values for the logs of P and A Give all log values to 3 decimal places Axes must be labelled correctly Plot all the points Use algebra to calculate the unknowns Check that the answers fit the given data The explanation given must refer to mathematics

Tips : Paper 1 Question 10 Don’t start with the given equation and work back Check your working as soon as you get an inexact answer Show all work including the substitutions Check that the solutions are correct by substitution Answer the question (and not just write the values for x, y and z) Use mathematics to explain your answer

Tips : Paper 1 Question 11 (i) x = 0 is an answer and must be explicitly stated. Don’t change the signs for y ie use y = -12x x 2 + 6x throughout Show working to justify maximum and minimum Be careful when sketching the curve. Make sure it passes through (0,0) Use the correct values for the limits when integrating

ADDITIONAL MATHEMATICS PAPER

Advice for Candidates 1 Advice is given on the micro-site Chief examiner’s reports are also available on the micro-site In general: Method Accuracy Timing Formulae Cancelled work

Advice for Candidates 2 –Notation –Calculators –Layout of answers –Linked questions –Sketches –Given results

Paper 2 Question 1 Equilibrium Need to see resolution of forces not simply trigonometric equation Resolving horizontally

Paper 2 Question 2 Most defined “population” as the number of people in a town/country ….but then many did elaborate with suitable “sample” Too costly/time-consuming Destructive sampling

Paper 2 Question 3 Clearly labelled force diagram forces up = forces down moment equation with force x distance throughout

Paper 2 Question 4 Using f/w to get fd to complete table fd = f/w

Paper 2 Question 5 Proof Position vector used as velocity Cannot use v 2 = u 2 + 2as F = ma F = P + Q

Paper 2 Question 6 Use the table to identify boundaries Formula or similar triangles Total number of people/total number of cars

Paper 2 Question 7 All forces needed labels and correct directions marked Resolve perpendicular to plane Proof using F = µR Difference of forces= mass x acc Follow through from previous answer

Paper 2 Question 8 Mostly correct Many drew up table for unbiased die Conditional probability

Paper 2 Question 9 Needed to use negative acceleration Follow through allowed Many calculated acceleration but not time 4 steps required

Paper 2 Question 10 4 point moving averages All points calculated correctly All points plotted accurately Accurate reading from correct place and using this value correctly Answer all parts of question

Paper 2 Question 11 Ranks Correct use of given formula Best fit line must go through calculated means Points used must be on line

Paper 2 Question 12 Resistances on car and trailer caused much confusion “Show that “ needs proved properly No further marks if no attempt to calculate new acceleration

Joe McGurk – Telephone – Ann Comac Telephone Nuala Braniff (Specification Support Officer) – Telephone extn 2292 – Contact Details