P1.1 Proof

P1.2 Algebra

P1.3 Trigonometry

P1.4 Co-ordinate geometry in the (x,y) plane

P1.5 Sequences and series

P1.6 Differentiation

P1.7 Integration

 

Mechanics 1 (M1)

M1.1 Mathematical models in mechanics

M1.2 Vectors in mechanics

M1.3 Kinematics of a particle

M1.4 Dynamics of a particle moving in a straight line or plane

M1.5 Statics of a particle

M1.6 Moments

 

Statistics 1 (S1)

S1.1 Mathematical models in statistics and probability

S1.2 Representation and summary of data

S1.3 Probability

S1.4 Correlation and regression

S1.5 Discrete random variables

 

Year 13

Pure Mathematics 2 (P2)

P2.1 Algebra and functions

P2.2 Functions

P2.3 Sequences and series

P2.4 Trigonometry

P2.5 Exponentials and logarithms

P2.6 Differentiation

P2.7 Integration

P2.8 Numerical methods

 

Pure Mathematics 3 (P3)

P3.1 Algebra

P3.2 Co-ordinate geometry in the (x,y) plane

P3.3 Series

P3.4 Differentiation

P3.5 Integration

P3.6 Vectors

 

 

Statistics 2 (S2)

S2.1 The binomial and poisson distributions

S2.2 Continuous random variables

S2.3 Continuous distributions

S2.4 Samples

S2.5 Hypothesis tests

S1.6 Discrete distributions

S1.7 The normal distribution

The Scheme of work relates to the Edexcel GCE Specification. Three Units are taken in Year 12 where students will be entered for AS level Applied Mathematics. In Year 13 an additional three modules will be taken to give Students A level Mathematics.

Teach the chapters in the order indicated above. However if you feel that within each chapter, topics are better taught in a different order then feel free to do so. Content in bold type is material that is new to the syllabus.

The Chapter on proof in P1 is included in the scheme of work but it is anticipated that this chapter will be taught in conjunction with other chapters and not as a chapter alone. In the scheme there are indications in bold type where formal proofs are required to be learnt. Students will need to learn proof by direct methods and be shown that proof by inspection or illustration is not acceptable.

The hours indicated in the time column are intended as a rough guide to spend on topics. However, please aim to keep to these as closely as possible. Three modules have to be taught and revised for external exams in the summer. If you feel that any times specified are inappropriate then please let me know. Any advice on updating / improving the scheme will be greatly appreciated.

The resources column refers to exercises set in the old syllabus textbooks. Exercises that are suitable are indicated using the notation, for example, P1 – 2B to represent P1 exercise 2B. Some exercises have been omitted because they are no longer suitable.

 

There will also be a bank of worksheets indicated as appropriate in the resources column. There are also additional worksheets that reinforce / supplement the exercises in the textbooks. These sheets can be found in the sixth form filing cabinet.

Revision materials will become available later during the year. They will take the form of past paper questions.

Scheme of work for Y12 set 2.

Set 2 will consist of students who achieved grade B or C at GCSE.

Set 2 will follow a slightly different syllabus to set 1. There will be a bridging unit aimed at filling in gaps from the Higher tier GCSE course.

This course will put a tremendous burden on teaching time for the remainder of the AS course. To combat this it will be necessary to place less emphasis on certain pure maths topics.

Place less emphasis on Proof, working mainly on the formal proofs that are listed in the scheme of work.

Less emphasis should be placed on the more involved Integration and Area. Students should know how to Integrate with limits and that integration with limits is used in finding areas.

Applications of differentiation that use rates of change of volume or surface area can be omitted.

All the above topics can be tackled during the revision period depending on the progress of the individual student.

 

Assessment

Students will be assessed twice on pure maths in the first term and once on each of the applied modules during the second term. In addition students in set 2 will be tested on the bridging unit

In addition students will be expected to do homework assignments.

These will be graded by attainment and effort. Routine exercises will not need to be graded this way.

Attainment Effort

1. Excellent, (A – C) A. Excellent

2. Good, but a few weaknesses, (B – D) B. Acceptable

3. A lot of weaknesses, (C – E) C. A lack of effort

4. Very little understanding shown, (D – U) D. Unacceptable effort

to Bridging Unit