## Our Curriculum # Mathematics

## GCSE Mathematics

Exam Board: OCR
Level: 2

Course Overview

Syllabus: OCR (9-1) Mathematics
Learners will study topics as described in the appropriate level scheme of work.

Foundation tier - Grades 5 to 1
Higher tier - Grades 9 to 3

Functional elements of mathematics are assessed through three examination papers each are 1 hour and 30 minutes in duration. Of the three examination papers, two of the papers will be calculator papers.
The course encourages students to develop confidence in, and a positive attitude towards, mathematics and to recognise the importance of mathematics in their own lives and to society. The GCSE mathematics curriculum allows learners to:

• Develop knowledge, skill and understanding of mathematical methods and concepts, including; number, algebra, geometry, measures, statistics, and probability

• Use their knowledge and understanding to make connections between mathematical concepts.

• Be able to apply the functional elements of mathematics to solve problems in real-life situations

• Acquire and use problem-solving strategies

• Select and apply mathematical techniques and methods in mathematical, every day and real-world situations

• Reason mathematically, make deductions and inferences and draw conclusions

• Interpret and communicate mathematical information in a variety of forms appropriate to the information and context.

Assessment: 100% examination.

## GCSE Statistics

Exam Board: Edexcel
Level: 2

Course Overview

Syllabus: Edexcel Linear GCSE in Statistics
Assessed through two written papers

Learners will study topics as described in the appropriate level scheme of work.

Foundation tier - Grades 5 to 1

Higher tier - Grades 9 to 3

Overview of Examination assessment:

Pupils will take two written papers, each lasting 1 hour 30 minutes. Both papers will assess understanding of statistical methods and probability. Pupils will also be expected to analyse statistical tables, written evidence and diagrams.

The skills candidates learn will help them with their GCSE Mathematics. The course will also benefit candidates studying other subjects where data is used heavily, such as science, business and geography.

Assessment: 100% examination (paper 1 50%, paper 2 50%

## GCSE Mathematics (Re-take)

Exam Board: OCR
Level: 2

Course Overview:
Pupils study a range of topics which include, number, algebra, shape, space and measures and handling data at the Foundation level. Grades awarded are 5 to 1. There are opportunities to take the examination in November or June.

Assessment: 100% examination

## A Level Mathematics

Exam Board: Edexcel
Level: 3

Course Overview

The aims and objectives of this qualification are to enable students to:

• Understand mathematics and mathematical processes in a way that promotes confidence, fosters enjoyment and provides a strong foundation for progress to further study.

• Extend their range of mathematical skills and techniques.

• Apply mathematics in other fields of study and be aware of the relevance of mathematics to the world of work and to situations in society in general.

• Use their mathematical knowledge to make logical and reasoned decisions in solving problems both within pure mathematics and in a variety of contexts, and communicate the mathematical rationale for these decisions clearly.

• Construct mathematical proofs.

• Read and comprehend mathematical arguments, including justifications of methods and formulae, and communicate their understanding.

• Use technology such as calculators and computers effectively and recognise when their use may be inappropriate.

• Make increasing responsibility for their own learning and the evaluation of their own mathematical development.

The new specification linear course consists of 67% Pure Mathematics and 33% Applied Mathematics. Pure Mathematics topics include proof, algebra and functions, coordinate geometry in the (x, y) plane, sequences and series, trigonometry, exponentials and logarithms, differentiation, integration, numerical methods and vectors. The Applied Mathematics topics include statistical sampling, data presentation and interpretation, probability, statistical distributions, statistical hypothesis testing, quantities and units in mechanics, kinematics, forces and Newton’s laws and moments.

Pupils are usually entered for AS Mathematics at the end of Year 12, before commencing with the Year 2 course content.

Assessment: 100% external examination (Paper 1 & 2 Pure [67%], Paper 3 Statistics and Mechanics [33%]).

## Year 7

Term 1: Using algebra, expressions and formulae, calculating with decimal numbers and properties of 2-D shapes and basic angle facts.

Term 2: Sequences, fractions, decimals and percentages, statistics, volume and surface area.

Term 3: Equations, lines and angles, factors and multiples, ratio and proportion.

Term 4: Straight line graphs, decimals, rounding, constructions, 3D shapes and statistical diagrams.

Term 5: Area and circumference of circles, probability, transformations and using a calculator. Revision.

Term 6: Calculating with fractions, decimals and percentages and completion of a statistical project.

## Year 8

Term 1: Area and volume, equations and formulae, decimals and ratio.

Term 2: Lines and angles, fractions, straight line graphs, averages and data.

Term 3: Ratio and percentages, probability and constructions.

Term 4: Factors, multiples, surds, transformations and sequences.

Term 5: Standard form, bearings, Pythagoras, statistical graphs and diagrams, and calculator skills.

Term 6: Calculating with fractions, decimals and percentages and statistical project.

## Year 9

Term 1: 2D and 3D Shapes; fractions, decimals, algebraic equations, expressions and formulae.

Term 2: Angles, percentages, representing data and inequalities.

Term 3: Estimation and approximation, theoretical and experimental probability, ratio and proportion and compound units.

Term 4: Functions and sequences, transformations, linear and quadratic graphs.

Term 5: Angles in polygons, direct and inverse proportion, perimeter, area and volume.

Term 6: Pythagoras and trigonometry and simultaneous equations.

## Year 10

Term 1:
Foundation Tier:
Operations with integers and decimals, area problems, ratio and statistical data collection.
Higher Tier: Recurring decimals, area problems, ratio and proportion and statistical data collection.

Term 2:
Foundation Tier:
Fractions, algebraic equations, constructions and loci, units of measures, Pythagoras' theorem, statistical populations and sampling.
Higher Tier: Fractions, algebraic equations, constructions and loci, units of measure, applying Pythagoras' theorem to 3D problems, statistical populations and sampling.

Term 3:
Foundation Tier: Accuracy and bounds, percentages (growth and decay), standard form, probability and representing and analysing data.
Higher Tier: Accuracy and bounds, rounding, percentages (growth and decay), standard form, probability and representing and analysing data.

Term 4:
Foundation Tier:
Linear graph, statistical measures of dispersion, scatter graphs and correlation, bearings and algebraic formulations.
Higher Tier: Quadratic graphs, statistical measures of dispersion, scatter graphs and correlation, bearings and algebraic formulations.

Term 5:
Foundation Tier:
3D Shapes, sequences, Pythagoras and index numbers.
Higher Tier: 3D Shapes, sequences, surds and index numbers.

Term 6:
Foundation Tier:
Simultaneous equations and revision.
Higher Tier: Simultaneous equations and revision.

## Year 11

Term 1:
Foundation Tier:
Direct and inverse proportion, indices and surds, translation and vectors, algebraic simplification and manipulation, trigonometry and statistical moving averages.
Higher Tier: Inverse proportions, surds, transformations, algebraic simplification and manipulation and statistical moving averages.

Term 2:
Foundation Tier:
Standard form, ratio, construction and loci, rotation, enlargement and reflection, graphs.
Higher Tier: Standard form, ratio, constructions and loci, graphs, rotation, enlargement and reflection.

Term 3:
Foundation Tier:
Probability, fractions, decimals and percentages, algebraic manipulation and perimeter and area.
Higher Tier: Real-world graphs, non-linear graphs, transformations, algebraic manipulation, similar figures and proofs and formulae.

Term 4:
Foundation Tier:
Pie charts, volume and surface area, algebraic manipulation, functions and graphs and vectors.
Higher Tier: Transformation of graphs, functions and vectors.

Term 5:
Foundation:
Revision and preparation for the final examination.
Higher Tier: Revision and preparation for the final examination.

Term 6:
ALL:
Revision of all topics in preparation for final examination.

## A Level Mathematics, Year 1

Term 1:
Pure:
Algebra, functions, graphs and transformations.
Statistics: Data collection, measures of location and spread, representation and interpretation of data.    Mechanics: Modelling

Term 2:
Pure: Straight line graphs, circles, further algebra and binomial expansion.
Mechanics: Modelling and constant acceleration.

Term 3:
Pure:
Binomial expansion, trigonometry,and differentiation.
Statistics: Probability, statistical distributions and hypothesis testing.

Term 4:
Pure:
Integration, exponentials and logarithm.
Mechanics: Forces and motion and variable acceleration.

Term 5:
Pure:
vectors
Revision for the AS examination.

Term 6:
Revision for the AS examination.
Pure: Algebraic methods, functions and graphs and binomial theorem.
Mechanics: Moments.
Statistics: Regression, correlation and hypothesis testing.

## A Level Mathematics, Year 2

Term 1:
Mechanics: Moments.
Statistics: Conditional probability.

Term 2:
Pure: Radians, trigonometric functions and modelling, numerical methods and parametric equations.
Mechanics: Projectiles.
Statistics: Conditional probability.

Term 3:
Pure: Numerical methods, parametric equations and differentiation.
Statistics: Normal distribution.

Term 4:
Pure: Integration and vectors.
Mechanics: Applications of forces.

Term 5:
Pure: Integration.
Mechanics: Application of forces.
Revision and practice papers.

Term 6:
Revision and final examinations.

## Out of School Learning (OSL) and Extra-Curricular Activities

Weekly after school sessions will be held every Tuesday.  Year 11 pupils are expected to attend.
Saturday / Half term OSL sessions are run regularly for Year 11 pupils. Dates are confirmed prior to each holiday or Saturday session.

## Suggested Revision Guides and Books

CGP revision guides and course books are available at a discounted rate from the department. Corbett Maths revision cards are also available to purchase from the department.