Mathematics

Curriculum Subjects

Mathematics

See our Mathematics Curriculum below at Bentley Wood for KS3, KS4 and KS5

 

KS3 | Mathematics

Course Aims:

In Key Stage 3 we encourage students to develop core skills and confidence in mathematics. Our scheme of learning develops not only our students understanding of Mathematics but also its importance in their own lives and in society.  It prepares students to make informed decisions about the use of technology, the management of money, further learning opportunities and career choices. Student’s gain experience of mathematical activities and develop their appreciation and enjoyment of mathematics.

Trips and visits: High achievers are able to attend co-curricular competitions and represent the school in regional and state events, including competing in the UKMT junior mathematical challenge.

Co-curricular activities: At the end of the academic year the Mathematics departments leads on a Science, Technology, Engineering and Maths (STEM) based activity day, which requires students to design and build water rockets.

Key Stage 4 & 5 / Career Progression: Students will go on to study GCSE mathematics at either higher or foundation level. Bentley Wood also offers an excellent A-level Mathematics course which includes pure maths, statistics and mechanics. Maths degrees are often regarded as stimulating, highly-rated, well-paid and valued by employers and maths graduates can go on to work in a variety of fields including but not limited to banking and finance, aeronautics, engineering, accounting, science research, investment banking and actuarial studies.

Recommended Reading: All students are able to access resources and revision materials remotely via the internet, especially use of mymaths.co.uk and www.vle.mathswatch.com, which has the facility for monitoring students’ progress and providing teacher feedback and support.

Year 7 

Content
There is a focus on investigating, student engagement and a deep understanding of skills.

Circles and Area
Properties of 2D shapes, area of 2D shapes including circles, coordinates and graphs, properties of circles, constructions

Sequences and Number
Sequences and patterns, plotting number sequences, the number line, negative numbers

Ratio and Proportion
Ratio sharing, taxes and discounts, proportional reasoning

The Nature of Number
Number sense, place value, binary, order of operations, decimals, multiples

Vectors and Transformations
Properties of shapes, translation, reflection, rotation, enlargement

Statistical thinking
Describing data, using averages, conducting a statistical investigation, comparing distributions

Year 8

Number
Calculations;
Fractions;
Decimals;
Percentages;
Ratio
Proportion;
Accuracy;
Indices and surds
Standard Index FormGeometry
2D and 3D shapes
Loci & Constructions
Transformations
Area & Perimeter&;
Volume  
Algebra
Formulae
Express
Solving Equation
SequencesProbability;
Spread
Theoretical probabilityMeasures
Enlargement
Similarity
Units of measure
Length
Angles & BearingsStatistics
Representation
Analysis of data
Interpretation of data
Averages
KS4 | Mathematics

Aims

This qualification in Mathematics 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.  It prepares students to make informed decisions about the use of technology, the management of money, further learning opportunities and career choices.  Student’s gain experience of mathematical activities and develop their appreciation and enjoyment of mathematics.

Number Algebra
Calculations Formulae
Fractions Expressions
Decimals Solving Equations
Percentages Graphical methods
Ratio Functions
Proportion Sequences
Accuracy Transformations of curves
Indices and surds Iteration
Standard Index Form
Geometry Measures
2D and 3D shapes Enlargement
Loci & Constructions Similarity
Pythagoras’ Theorem Units of measure
Transformations Length
Area & Perimeter Angles & Bearings
Volume
Geometrical reasoning
Trigonometric Functions
Vector Geometry
Circle Theorems
Probability Statistics
Theoretical probability Representation
Experimental Analysis of data
Interpretation of data
Averages
Spread

Method of Assessment

Assessment takes place every lesson, with pupils being given oral feedback throughout the lesson. Students are formally assessed towards the end of every topic with a learning assessment the results are used to address any misconceptions in the following lessons. Students also have an exam twice a year which is formally assessed and students are given a grade and a projected grade based on their performance.

The final exam is externally assessed with all students sitting their GCSE Mathematics exam at the end of year 11.

Maths is tiered, Foundation and Higher.The GCSE maths exam consists of three written papers. Each paper lasts 1 hour 30 minutes and contains 80 marks.  Paper 1 is non-calculator and paper 2 and paper 3 are calculator. Each paper is worth 33 1/3% of the final GCSE grade. Each paper consists of a mixture of question styles, from single mark questions to multi-step problems.

iGCSE (Edexcel)

The international equivalent of GCSE is assessed at the end of year 10. The content is very similar to the GCSE and it offers the girls the full exam experience a year earlier. It also equips the girls with an internationally recognised qualification. The exam consists of two equally weighted papers. The results are used to inform learning & revision in Year 11.

Level 2 Certificate in Further Mathematics (AQA)

This course is offered to our most able mathematicians in year 10 & 11 and is assessed at the end of year 11. Students embarking on this course have to be fully committed, as it requires discipline and independent studying. It is most suitable for those students wanting to continue studying Mathematics at A level.

Entry Level 1, 2 or 3 in Mathematics (Edexcel)

The course is designed for students who find Mathematics challenging. It covers the basic numeracy skills and is assessed by the class teacher. There are two components in the assessment: one exam paper and a task. The study of topics complements their GCSE topics and students can sit this at any point during year 11.

Recommended Reading

  •  “The hidden Maths of everyday life” by Jordan Ellenberg
  •  “Humble pi” by Matt Parker
  •  “The art of Statistics” by David Spiegelhalter
  •  “Do dice play God?: The Mathematics of uncertainty” by Ian Stewart
  •  “The Simpsons and their Mathematical secrets” by Simon Singh
  •  “Reaching for the moon: the autobiography of NASA mathematician Katherine Johnson” by Katherine Johnson

Enrichment

  • Maths Club (on Teams for each year group)
  • Maths Embasadors
  • UKMT intermediate & senior Maths challenge (years 9 to 11)
  • Level 2 Further Maths (A level bridging course for year 10 and 11 top end students)

Revision Guides

  • Mastering Mathematics for Edexcel GCSE: Foundation 1 by Heather David
  • Mastering Mathematics for Edexcel GCSE: Foundation 2/Higher 1 by Gareth Cole
  • Mastering Mathematics for Edexcel GCSE: Higher 2 by Gareth Cole
KS5 | Mathematics

Is Mathematics the subject for you?

Do you enjoy analysing and solving a problem, to the extent that the challenge of finding a solution involving many logical applications and steps is very satisfying and have a love of algebra? If the answer is yes, then mathematics is definitely the subject for you.

Course content

A series of four Core units covered over 2 years along with a choice of 2 Applied units from Decision, Statistics and Mechanics. When studying pure mathematics at A2 and AS level you will be extending your knowledge of topics such as algebra and trigonometry as well as learning some brand new ideas such as calculus. You will learn to appreciate how these concepts serve as the foundation for other branches of mathematics. One such branch is Statistics. In statistics lessons you will learn to analyse and summarise data in order to draw out statements that describe what the data is all about. In today’s society we are bombarded with information from a variety of sources. The Statistics units will give you the tools to look at this information critically and efficiently. In Mechanics you will learn to apply mathematical calculations to the movement of objects, while Decision helps to improve your logical and reasoning abilities.

Methods of study

Mathematics is a very practical subject; it is not about learning facts or writing essays. You will learn by problem solving, working both independently and in groups, to find the best route to a solution. Use of graphical calculators enhances greatly the approaches to teaching and learning and the quality of students’ involvement, interaction and appreciation for the subject. Communicating in writing and in discussion, using the unique language of mathematics is crucial.

How will it be examined?

AS qualification will count towards the final grade of an A Level (Legacy)

Career opportunities

An AS in Mathematics is very valuable as a supporting subject at A Level and degree level, especially in the sciences and geography, psychology, sociology and, medical courses. A full A level Mathematics is a much sought-after qualification for entry to a wide variety of full time courses at higher education. Mathematics is a very powerful A level to have. The skills developed in mathematics are highly regarded by many universities and employers. Good Mathematics qualifications open the windows of opportunity for a much wider choice of very exciting careers. They could lead to a career in medicine, teaching, accountancy, finance, business, architecture, aeronautics, economics, engineering, meteorology and many more.

Links

KS5 | Further Mathematics

Is Further Mathematics the subject for you?

Further Mathematics is offered to those who achieve a grade A at GCSE.

Course content

You can choose to complete the full A level course consisting of 6 modules (2 Further Pure Maths and 4 Applied) or complete the AS level course consisting of 3 modules (1 Further Pure Maths and 2 Applied).

Methods of study

The study of Pure mathematics develops logical thinking and a systematic approach to problem solving. Most problems will focus on how the methods learnt can be applied in areas of engineering and computing. The use of graphical calculators will enhance students’ appreciation for the subject.

How will it be examined?

AS qualification will count towards the final grade of an A Level (Legacy).

Career opportunities

Those students who have studied an AS or A level in Further mathematics will have had the opportunity to study more applied mathematics modules than those with just the single A level mathematics. This highlights the worth of the Further mathematics qualification for those students who wish to study for mathematics, Physics and Engineering degrees at university. The study of Pure mathematics develops logical thinking and a systematic approach to problem solving – attributes which are highly valued in the workplace.