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FMSP coach meeting 2010 Further Mathematics Support Program

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Further Mathematics Support Program School to University Transition Let Maths take you Further…

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A level Biology exam address Filter paper plates absorbed two sorts of anti-toxin were put on a grass of microscopic organisms developing in a Petri dish. The centralization of anti-microbial broke down in each circle is appeared. Circle containing anti-toxin A (2 units) Disk containing anti-toxin B (5 units) 2 5 Lawn of microscopic organisms Clear zone what number circumstances more powerful is anti-infection B than anti-microbial A? Clarify how you landed at your answer. (2 marks)

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- MSOR, Bioscience, Engineering, Physical Sciences, Materials and Information and Computer Sciences charged MEI to assemble an arithmetic guide. - It diagrams what understudies with given capabilities in science are probably going to know and have the capacity to do. 'The Guide'

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Contents of the Guide

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2. Setting the scene 2.1 Introduction to the principle capabilities GCSEs/AS and A Levels Academic capabilities Apprenticeships Paid work and at work preparing Diplomas Blend of classroom learning and viable experience (Science Diploma won't appear)

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2. Setting the scene 2.2 Brief chronicled survey of significant improvements See Appendix 5.4 for far reaching postings of imperative dates for Mathematics Basically there has been a considerable measure occurring in the most recent 20 years! 2.3 Where and by what means will contestants have contemplated pre-advanced education? Originated from an extensive variety of BACKGROUNDS with an extensive variety of EXPERIENCES This guide ONLY about those with a UK foundation Many sorts of foundation and much changeability in the educating got, especially amongst state and free schools

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3. Particular UK capabilities and understudy traits GCSE AS and A Levels AEA and STEP FSMQ Diplomas Other Qualifications (IB, Pre-U) Wales, Scotland and NI

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3. Particular UK capabilities JUST TO BE CLEAR: The substance of capability details can't be thought to be a precise measure of what understudies will really know and comprehend when they begin advanced education This will be impacted significantly by the way of their numerical learning encounters and by the evaluations they accomplished (Note. There are 3 distinctive English Awarding Bodies)

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3. Particular UK capabilities 3.1 GCSE Although a two-year course normally taken by 16 years olds, GCSE Mathematics viably tests material that has been examined all through auxiliary school 11-16 For GCSEs up to 2012, substance is determined by the 1999 National Curriculum

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3. Particular UK capabilities 3.1 GCSE From 1997 there were THREE levels accessible to be studied, since 2006 (so 2008 examinations) there is presently only TWO Higher A*, A, B, C Foundation C, D, E, F, G (preceding 2008 exams: Intermediate B, C, D, E)

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3. Particular UK capabilities 3.1 GCSE Foundation Tier understudies won't have considered as much arithmetic as those who've taken the Higher Tier Grade C on Foundation Tier is substantially higher than for a C on Higher Tier, so have demonstrated a decent comprehension of the maths which they have studied

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3. Particular UK capabilities 3.1 GCSE – Topics NOT canvassed in Foundation Tier negative and fragmentary forces working with numbers in standard frame (logical documentation) invert rate computations working with amounts which shift in immediate or opposite extent arrangement of straight concurrent conditions by mathematical techniques factorizing quadratic expressions and arrangement of quadratic conditions plotting charts of cubic, complementary and exponential capacities trigonometry figuring of length of circular segment and territory of division of a circle total recurrence outlines, box plots and histograms moving midpoints tree graphs and related likelihood counts.

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3. Particular UK capabilities 3.1 GCSE Students who have been entered for Higher Tier Mathematics and accomplished review B or C will have a deficient comprehension of things from the rundown above and are probably going to discover variable based math troublesome

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3. Particular UK capabilities 3.2 AS and A Levels Maths AS Levels include 3 units of study Maths A Levels include 6 units of study (3 AS units and 3 A2 units) Problems with the execution of educational modules 2000 implied a reexamined maths determination was issued for first instructing in 2004

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3. Particular UK capabilities 2000-2004 6 Modules: 3 of Pure Mathematics 3 of Applied Mathematics 2004-now 6 Modules: 4 of Pure Mathematics 2 of Applied Mathematics

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3. Particular UK capabilities 3.2 AS and A Levels – Effect of 2004 changes The downturn in numbers taking after the 2000 changes has been turned around; there is an expanding number of understudies taking A Level Mathematics (and Further Mathematics) Students focus more on the immaculate arithmetic and ought to be more sure with it Students do less connected science

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The Applied Modules (Edexcel summer 2006)

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3. Particular UK capabilities 3.2 AS and A Levels – The 4 Pure Maths units C1 and C2 taken at AS (For all exam sheets, the aggregate substance of C1 and C2 is the same) C3 and C4 taken at A2 (For all exam sheets, the aggregate substance of C3 and C4 is the same) The accompanying slides diagram the center substance

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Algebra Simultaneous conditions, including one quadratic Solving quadratics, finish of square Surds/files Inequalities (just including direct and quadratic expressions, and the modulus work) Polynomials (consider/leftover portion hypotheses) Partial Fractions Sequences and Series Arithmetic/geometric groupings/arrangement Sigma documentation Sequences characterized recursively Binomial extension

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Exponentials and Logarithms Standard properties Use in illuminating conditions Graphs of y = e x and y = ln x Exponential development and rot Coordinate Geometry Equations of straight lines, inclination Parallel and opposite lines Equation of a circle Curve Sketching Graphs of quadratics, polynomials (from the factorized frame) Relationships between charts of y = f( x ), y = f( x + a ), y = f( hatchet ), y = a f( x ), y = f( x ) + a Proof Methods of verification, including confirmation by inconsistency and disproof by counter-illustration.

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Trigonometry Sine manage, cosine administer Radians, bend length, segment zone Exact estimations of wrongdoing, cos, tan of standard edges Sec, cosec, bed, arcsin, arccos, arctan Compound/twofold edge formulae Trigonometric Pythagorean characters

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Calculus Differentiation of x n , e x , ln x , sin x , cos x , tan x Tangents, normals, stationary focuses Product run, remainder run, chain lead Integration by examination Integration by substitution (basic cases just) Integration by parts Differential conditions (factors divisible just) Implicit separation Volumes of upheaval

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A2 just substance Vectors Scalar item Equations of lines Intersection of lines Numerical Methods Roots by sign change Fixed point cycle Numerical coordination Functions Domain and range Composition Inverses, figuring inverses Even, odd, occasional capacities Modulus work Parametric Equations Finding angles Conversion from Cartesian to parametric conditions

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3. Particular UK capabilities 3.4 Free Standing Mathematics Qualifications OCR Foundations of Advanced Maths Level 2 capability to help connect hole amongst GCSE and A Level for B/C review understudies (2010 around 2500 understudies) OCR Additional Mathematics Level 3 capability for capable GCSE understudies equivalent in hard to AS Level Maths (2008 – around 7500, 2007 – 5500, 2006 – 4400) AQA FMSQs Review direct (page 10) for ramifications of having these

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3. Particular UK capabilities 3.5 Diplomas These were for first instructing in 2008 Available at 3 levels Of those accessible just the Level 3 Engineering Diploma has a mandatory arithmetic unit (and a discretionary one) Uptake, especially at level 3 has been low (871 for Engineering/3000 for all lines in 2010) General view is that the understudies these are gone for should be all the more obviously "characterized"

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3. Particular UK capabilities 3.6 Other Qualifications International Baccalaureate Pre-U Access Courses Foundation Courses Review control (page 11) for ramifications of having these

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3. Particular UK capabilities 3.7 Wales, Scotland and Northern Ireland Wales/Northern Ireland – much cover with England, especially in A Levels Scotland – distinctive arrangement of capabilities Standard Grades (generally GCSE equiv.) Highers (generally AS Levels equiv.) Advance Highers (approximately A Level equiv.)

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4. Valuable wellsprings of data 4.1 References made in the guide 4.2 Additional references 5. Supplements 5.1 Acronyms 5.2 A Level Maths numbers 1989-2009 5.3 Overview of substance in arithmetic A Level 5.4 Important dates for Mathematics

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Pre-University Guide Summary We trust you discover the guide helpful We trust it will furnish you with applicable data and connections Please do connect with MEI on the off chance that you have any inquiries!

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School to University Transition Possible 6th frame science courses proper for Biology understudies The effect of colleges on the achievement of the Further Mathematics Support Program Opportunities to draw in with accomplices over the move

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Appropriate 6 th - shape maths courses for Biology understudies AS/A level Mathematics AS/A level Further Mathematics AS level Statistics FSMQ Using and Applying Statistics The broadened extend NB Courses can be taken in year 13

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About the Further Mathematics Support Program Aims: Give each understudy who could profit by concentrate Further Mathematics the chance to do as such Increase the quantity of understudies considering Fu