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Cardinal Pole Catholic School

Cardinal Pole Catholic School

Maths

Head of Department

Jackson Okosun 
enquiries@cardinalpole.co.uk 

Overview

We have a very successful maths department at Cardinal Pole Catholic School. We have enjoyed excellent exam results where over 70% of our pupils secure A*-C grades at GCSE year-on- year. In 2014, 77% of the year 11 cohort secured A*- C grades in mathematics, 71% in 2015 and 71% in 2016 and 2017. An increasing proportion of our students achieve the top grades, with 20% achieving A*-A in 2016, our highest ever. With A-Level Maths being one of the most popular subjects in our sixth form 6th form, our performance is outstanding, with 50% of entries at A Level being A*or A.

Year 7 - 10 Mathematics

At Key Stage 3 pupils are placed into three separate bands and taught most subjects within those bands.

Course Content

Across Year 7 to 10 pupils are taught all areas of the New GCSE curriculum (see GCSE Mathematics). Learning and Teaching consolidates their prior learning from Key Stage 2 and buildings on/extends their understanding of mathematical concepts throughout. Pupils are taught in ability sets and lessons take the form of a balanced mix of whole class teaching, group work and independent learning. Students are given formative feedback in their exercise books fortnightly, and tested once a half term.

Year 7 Students who have yet to reach the expected standard at KS2 receive catch-up sessions to help them do so.

Students are expected to bring a scientific calculator and a maths set to all Mathematics lessons. Students will complete homework once a week in Year 7 and 8, and twice a week in Year 9 and 10.


GCSE Mathematics

At Key Stage 4 all pupils follow a core curriculum which consists of English Language, English Literature, Maths, Science, Religious Education, and Physical Education.

Course Content

Course Content

The GCSE examination builds on the knowledge and skills that students have acquired at across Year 7-10, in the following five main topic areas:

· Number

· Geometry and Measures          Ratio, Proportion and rates of change

· Algebra

· Statistics and probability

While studying GCSE Mathematics, students will extend their mathematical skills and understanding, and will learn to apply them to real life situations. An increased focus is place on the new GCSE examinations (from 2016 onwards) on solving non-standard problems, linking topics together, and demonstrating rich mathematical understanding.

Assessment

Students are taught in sets according to ability and will follow the Edexcel Linear Mathematics Course 9-1 (1MA1). Entry is at one of two tiers, Foundation or Higher.  

Assessment Objective 1: Use and apply standard techniques (40% higher, 50% foundation)

Students should be able to:

● accurately recall facts, terminology and definitions

● use and interpret notation correctly

● accurately carry out routine procedures or set tasks requiring multi-step solutions

Assessment Objective 2: Reason, interpret and communicate mathematically (30% higher, 25% foundation)

 Students should be able to:

● make deductions, inferences and draw conclusions from mathematical information

● construct chains of reasoning to achieve a given result

● interpret and communicate information accurately

● present arguments and proofs

● assess the validity of an argument and critically evaluate a given way of presenting information.

Where problems require students to ‘use and apply standard techniques’ or to independently ‘solve problems’ a proportion of those marks should be attributed to the corresponding Assessment Objective.

Assessment Objective 3:  Solve problems within mathematics and in other contexts (30% higher, 25% foundation)

Students should be able to:

 ● translate problems in mathematical or nonmathematical contexts into a process or a series of mathematical processes

 ● make and use connections between different parts of mathematics

 ● interpret results in the context of the given problem

 ● evaluate methods used and results obtained

 ● evaluate solutions to identify how they may have been affected by assumptions made.

Where problems require students to ‘use and apply standard techniques’ or to ‘reason, interpret and communicate mathematically’ a proportion of those marks should be attributed to the corresponding Assessment Objective.

Available grades:

  • Foundation Tier 1-5
  • Higher Tier 4-9

Other information

The ‘Passing Grade’ at GCSE is now a Grade 4, and a ‘Good Pass’ a grade 5. Nationally the same number of students are expected to achieve a Grade 4 and above, as historically achieved a Grade C and above.

Students are expected to bring a scientific calculator and a maths set to all Mathematics lessons. Homework is completed twice a week for Year 11 GCSE students.


Key Stage 5 (Sixth Form, Years 12-13)

The course is modular consisting of four units covering Pure Mathematics (C1, C2, C3, C4) and two Applied Mathematics units (S1 and M1). Three units are studied for AS Level and three for A2 Level. Exams are taken in the summer of each year.

Pure Mathematics

In Pure Mathematics students will study coordinate geometry, algebra and functions,
trigonometry, calculus, vectors, sequences and series, exponentials and logarithms and
numerical methods.

Statistics

In Statistics students will study Mathematical models in probability and statistics;
representation and summary of data; probability; correlation and regression; discrete random variables; discrete distributions; the Normal distribution.

Mechanics

In Mechanics students will meet ideas of mathematical modelling. They will study the
kinematics, dynamics and statistics of particles, centres of mass, work and energy collisions.

Units of study: Each unit is assessed through external examination, which is one and a half hours long.

The units for AS Level are as follows:

Unit 1: Core 1—Pure Mathematics
Unit 2:  Core 2—Pure Mathematics
Unit 3: Statistics 1

The units for A2 Level are:

Unit 4: Core 3—Pure Mathematics
Unit 5: Core 4—Pure Mathematics
Unit 6: Mechanics 1

GCSE required grade: All students taking A-Level Mathematics should have a minimum A Grade at GCSE

Exam board: Edexcel

Further Mathematics  The course is modular consisting of two units covering Pure Mathematics (FP1 and FP2) and four Applied Mathematics units (D1, D2, S2, S3). Three units are studied for AS Level and three for A2 Level. Exams are taken in the summer of each year.

Further Pure Mathematics In Further Pure Mathematics students will study series, complex numbers, numerical solution of equations, coordinate systems, matrix algebra, proof, inequalities, first order differential equations, second order differential equations, further complex numbers, Maclaurin and Taylor series.

Statistics  In Statistics students will study the Binomial and Poisson distributions, continuous random variables, continuous distributions, samples, hypothesis tests, combinations of random variables, sampling, estimation, confidence intervals and tests, goodness of fit and contingency tables, regression and correlation.

Decision Mathematics  In Decision Mathematics students will study a variety of algorithms to solve real life problems e.g. algorithms, algorithms on graphs, the route inspection problem, critical path analysis, linear programming, matchings, transportation problems, allocation (assignment) problems, the travelling salesman, game theory, further linear programming, dynamic programming, flows in networks.

 

Units of study: Each unit is assessed through external examination, which is one and a half hours long.

The units for AS Level are as follows:

Unit 1: Decision 1
Unit 2: Further Pure 1
Unit 3: Statistics 2

The units for A2 Level are:

Unit 4: Decision 2
Unit 5: Further Pure 2
Unit 6: Statistics 3

GCSE required grade: All students taking A-Level Further Mathematics should have a minimum A* Grade at GCSE

Exam board: Edexcel

There are a wide range of courses on offer in our Sixth Form and many of our students proceed on to prestigious University degree courses or into further vocational training.

  • KS3 Interschool Maths Challenge Club- problem solving designed to push our brightest mathematicians, leading towards the UKMT interschool competition

  • UK Maths Challenge; certificated qualification entered for all top sets Year 7-10 to promote problem solving and high achievement.

  • Year 7 catch-up- small group catch-up run by maths teachers to support students who had not met the expected standard for KS2.

  • Year 11 Saturday school- extra support for targeted Year 11 students on Saturday mornings 9am-1pm. Focusing on exam questions and technique.

  • Year 11 Revision classes- during prep/after school for targeted Year 11 students twice per week. Focusing on exam questions and technique.

  • 6th Form Maths Club- run after school weekly for AS and A level Maths students for help with Homework and exam questions