Introduction to A-Level Mathematics and A-Level...
16
Introduction to A-Level Mathematics and A-Level Further Mathematics at The Highcrest Academy Your AS Level in Mathematics is made up of two pure Maths modules (Core 1 & Core 2) and an applied Maths module (Mechanics 1). In order to fully prepare for the course you must complete the highlighted questions from section 1 AND all of section 2. If it is your intention to study AS Further Mathematics in addition to AS Mathematics, you must complete the whole booklet. The completed booklet must be submitted to Miss McIlfatrick by Friday 4th September 2015. Failure to do so could compromise your place on the course.
Transcript of Introduction to A-Level Mathematics and A-Level...
Introduction to A-Level Mathematics and A-Level Further Mathematics
at
The Highcrest Academy
Your AS Level in Mathematics is made up of two pure Maths modules (Core 1 & Core 2) and an applied Maths module (Mechanics 1). In order to fully prepare for the
course you must complete the highlighted questions from section 1 AND all of section 2.
If it is your intention to study AS Further Mathematics in addition to AS Mathematics, you must complete the
whole booklet.
The completed booklet must be submitted to Miss McIlfatrick by Friday 4th September 2015.
Failure to do so could compromise your place on the course.
2
Specification GCE Mathematics
Pearson Edexcel Level 3 Advanced Subsidiary GCE in Mathematics (8371) Pearson Edexcel Level 3 Advanced GCE in Mathematics (9371)
In year 12, you will study three modules in order to complete your AS Mathematics: Core 1, Core 2 and Mechanics 1. Core 1 will be taught for the duration of half a year for 4 lessons per week. Once this module has been completed (around January) teaching for Core 2 will begin. Mechanics 1 will be taught for the duration of year 12 and will be timetabled for 2 lessons per week. The content of the modules are detailed below. Core Mathematics C1 Algebra and functions; coordinate geometry in the (x, y) plane; sequences and series;
differentiation; integration. C2 Algebra and functions; coordinate geometry in the (x, y) plane; sequences and series;
trigonometry; exponentials and logarithms; differentiation; integration. Mechanics M1 Mathematical models in mechanics; vectors in mechanics; kinematics of a particle
moving in a straight line; dynamics of a particle moving in a straight line or plane; statics of a particle; moments.
In year 13, you will study three modules in order to complete your A2 Mathematics: Core 3, Core 4 and Statistics 1. Core 3 will be taught for the duration of half a year for 4 lessons per week. Once this module has been completed (around January) teaching for Core 4 will begin. Statistics will be taught for the duration of year 13 and will be timetabled for 2 lessons per week. The content of the modules are detailed below. Core Mathematics C3 Algebra and functions; trigonometry; exponentials and logarithms; differentiation;
numerical methods. C4 Algebra and functions; coordinate geometry in the (x, y) plane; sequences and series;
differentiation; integration; vectors. Statistics S1 Mathematical models in probability and statistics; representation and summary of
data; probability; correlation and regression; discrete random variables; discrete distributions; the Normal distribution.
3
Summary of Assessment Requirements
Unit Number
Unit Title Unit Code
Level Method of Assessment
Availability AS
Weighting GCE
Weighting
C1 Core Mathematics 1
6663 AS 1 written
paper June
33.3% of AS
16.67% of Advanced
GCE
C2 Core Mathematics 2
6664 AS 1 written
paper June
33.3% of AS
16.67% of Advanced
GCE
C3 Core Mathematics 3
6665 A2 1 written
paper June
33.3% of AS
16.67% of Advanced
GCE
C4 Core Mathematics 3
6666 A2 1 written paper
June 33.3% of AS
16.67% of Advanced
GCE
M1 Mechanics 1 6677 AS 1 written
paper June
33.3% of AS
16.67% of Advanced
GCE
S1 Statistics 1 6683 AS 1 written
paper June
33.3% of AS
16.67% of Advanced
GCE Other Information
x All examination papers last 1 hour 30 minutes. x All examination papers have 75 marks. x C1 is a non-calculator paper: for all other unit examinations, calculators can be used.
Preparation for the Course
In order to be fully prepared for your AS Mathematics studies, the following is recommended:
x Complete the A to A* Online Booster worksheets on MyMaths. http://www.mymaths.co.uk (See Miss. McIlfatrick to set up an account, if you do not have one)
x Purchase a study guide to help “bridge the gap” between GSCE and AS-Level Mathematics. Any of the following would be appropriate:
ISBN-10: 0007410239 ISBN-10: 1841469939 ISBN-10: 0521893569
ISBN-13: 978-0007410231 ISBN-13: 978-1841469935 ISBN-13: 978-0521893565
4
Specification GCE Further Mathematics
Pearson Edexcel Level 3 Advanced Subsidiary GCE in Further Mathematics (8372) Pearson Edexcel Level 3 Advanced GCE in Further Mathematics (9372)
In year 12, you will study three modules in order to complete your AS Further Mathematics: Further Pure 1, Decision 1 and Decision 2. Decision 1 will be taught for the duration of half a year for 2 lessons per week. Once this module has been completed (by end of December) teaching for Decision 2 will begin. Further Pure 1 will be taught for the duration of year 12 and will be timetabled for 2 lessons per week. The content of the modules are detailed below. Further Pure FP1 Series; complex numbers; numerical solution of equations; coordinate systems, matrix
algebra, proof. Decision D1 Algorithms; algorithms on graphs; the route inspection problem; critical path analysis;
linear programming; matchings. D2 Transportation problems; allocation (assignment) problems; the travelling salesman;
game theory; further linear programming, dynamic programming; flows in networks. In year 13, you will study three modules in order to complete your A2 Further Mathematics: Further Pure 2, Further Pure 3 and Mechanics 2. The content of the modules are detailed below. Further Pure FP2 Inequalities; series, first order differential equations; second order differential
equations; further complex numbers, Maclaurin and Taylor series. FP3 Further matrix algebra; vectors, hyperbolic functions; differentiation; integration,
further coordinate systems. Mechanics M2 Kinematics of a particle moving in a straight line or plane; centres of mass; work and
energy; collisions; statics of rigid bodies.
5
Summary of Assessment Requirements
Unit Number
Unit Title Unit Code
Level Method of Assessment
Availability AS
Weighting GCE
Weighting
FP1 Further Pure 1 6667 AS 1 written
paper June
33.3% of AS
16.67% of Advanced
GCE
FP2 Further Pure 2 6668 A2 1 written
paper June
33.3% of AS
16.67% of Advanced
GCE
FP3 Further Pure 3 6669 A2 1 written
paper June
33.3% of AS
16.67% of Advanced
GCE
D1 Decision 1 6689 AS 1 written paper
June 33.3% of AS
16.67% of Advanced
GCE
D2 Decision 2 6690 A2 1 written
paper June
33.3% of AS
16.67% of Advanced
GCE
M2 Mechanics 2 6678 A2 1 written
paper June
33.3% of AS
16.67% of Advanced
GCE Other Information
x All examination papers last 1 hour 30 minutes. x All examination papers have 75 marks.
6
SECTION 1: PREPARATION FOR AS MATHS & AS FURTHER MATHS (PURE)
Chapter 1 – Algebra & Number 1
7
8
Chapter 2 – Algebra & Number 2
9
10
Chapter 3 – Coordinate Geometry
11
12
Chapter 4 – Geometry 1
13
14
15
Chapter 5 – Geometry 2
16
