Curriculum Vision and Intent

Our Mathematics curriculum aims to give every student the necessary knowledge, skills, and attributes to be successful in their chosen career, and in their adult life.

We aim to:

- Ensure every student has the required numeracy skills for a fruitful transition to the next stage of their lives
- Cultivate a deep level of problem solving skill and resilience in the face of challenge
- Develop the transferable skills of accuracy and precision in the ways in which they approach problems
- Offer opportunities for students to relate their learning to real world applications of maths

KS3 curriculum and assessment

**Year 7 Curriculum**

**HT1 – Number Skills, Decimals, and Fractions**

*Mental calculations, written calculations, BIDMAS, types of numbers, working with negative numbers
*

*Ordering decimals, decimal calculations*

*Comparing fractions, simplifying fractions, fractions calculations, converting between fractions, decimals, & percentages*

**HT2 – Probability and Lines & Angles**

*Language of probability, calculating probabilities, experimental probabilities
*

*Geometrical vocabulary, measuring & drawing angles, triangles, quadrilaterals*

*‘Numeracy in Business’ year group project*

**HT3 – Analysing & Displaying Data and Expressions, Functions, & Formulae**

*Mean, median, mode & range of a set of values, displaying data
*

*Function machines, simplifying expressions, substituting values into formulae*

**HT4 – Ratio & Proportion and Sequences & Graphs**

*Direct proportion, writing & using ratios, scales & measures
*

*Linear sequences, co-ordinates, straight-line graphs*

*‘Shape & Space’ year group project*

**HT5 – Area & Volume and Equations**

*Area of triangles & quadrilaterals, perimeter, properties of 3D shapes, volume & surface area of cuboids
*

*One-step equations, two-step equations, writing equations from word problems*

**HT6 – Revision and Transformations**

*Revision and consolidation of Y7 topics seen up to this point
*

*Congruency, enlargement, symmetry, reflection, rotation, translation*

*‘Data Collection’ year group project*

**Year 8 Curriculum**

**HT1 – Number Skills, Decimals, and Ratio**

*Calculations, BIDMAS, negative numbers, powers & roots, factors & multiples
*

*Ordering decimals, multiplying and dividing decimals*

*Different units, ratios of the form 1:n, ratios with decimals*

**HT2 – Expressions, Solving Equations, and Volume & Surface Area**

*Simplifying expressions, expanding brackets, factorising expressions
*

*The balance method, three-step equations, simultaneous equations*

*Volume of simple prisms, nets, surface area of prisms, converting between units of area and volume*

*‘Numeracy in Business’ year group project*

**HT3 – Calculating with Fractions and Fractions, Decimals, & Percentages**

*All four operations with fractions, mixed numbers
*

*Converting fractions, decimals, & percentages, percentages of amounts, recurring decimals, repeated percentage change*

**HT4 – Lines & Angles and Straight-Line Graphs**

*Quadrilaterals, alternate & corresponding angles, proof, geometrical problems, exterior & interior angles
*

*Gradients, direct proportion, equations of straight lines, y=mx+c, parallel & perpendicular lines*

*‘Shape & Space’ year group project*

**HT5 – Real Life Graphs and Dealing with Data**

*Conversion graphs, distance-time graphs, line graphs, rates of change, misleading graphs
*

*Planning a survey, collecting data, averages & range, displaying & analysing data, presenting and comparing data*

**HT6 – Revision and Probability**

*Revision and consolidation of Y7 and Y8 topics seen up to this point
*

*Calculating probabilities, probability diagrams, theoretical & experimental probability, independent events*

*‘Data Collection’ year group project*

**Year 9 Curriculum**

**HT1 – Number Skills, Multiplicative Reasoning, and Ratio**

*Indices, calculations, BIDMAS, standard form
*

*Enlargement, percentage change, rates of change, proportion*

*Sharing into a given ratio, ratio with algebra & graphs*

**HT2 – Expressions and Sequences & Graphs**

*Substitution, formulae, expansion, factorisation
*

*Nth term, non-linear graphs, y=mx+c, graphical simultaneous equations*

*‘Numeracy in Business’ year group project*

**HT3 – Constructions, Circles, Pythagoras, & Prisms, and Comparing Data**

*Scales, using equipment accurately, constructing triangles, loci
*

*Area & circumference of a circle, arcs & sectors, Pythagoras’ theorem, prisms & cylinders*

*Frequency polygons, box plots, cumulative frequency*

**HT4 – Trigonometry and Non-Linear Graphs**

*Congruence & similarity, SOHCAHTOA, trigonometric graphs
*

*Quadratic, cubic, & reciprocal graph*

*‘Shape & Space’ year group project*

**HT5 – Real Life Graphs and Dealing with Data**

*Conversion graphs, distance-time graphs, line graphs, rates of change, misleading graphs
*

*Planning a survey, collecting data, averages & range, displaying & analysing data, presenting and comparing data*

**HT6 – Revision and Quadratics**

*Revision and consolidation of Y7, Y8, and Y9 topics seen up to this point
*

*Double bracket expansion & factorisation, solving quadratics, quadratic sequences, simultaneous equations*

*‘Data Collection’ year group project*

Assessment at KS3

Students at KS3 are assessed once per full term. These assessments cover all material learnt up to that point, and contain a variety of question styles in order to fulfil the assessment objectives:

- AO1: Use and apply standard techniques
- AO2: Reason, interpret and communicate mathematically
- AO3: Solve problems within mathematics and in other contexts

These are primarily formative assessments and are used to identify the specific needs of each students and how they can continue to progress.

In addition to this, Y7 sit a Baseline Assessment in their first lesson. This is to highlight the strengths and areas for development of the cohort, and to provide starting points for each student to allow for monitoring progress.

KS4 curriculum and assessment

**Year 10 Curriculum**

**HT1 – Number Skills, Percentages, and Algebra Review & Sequences**

*Calculations, BIDMAS, rounding to decimal places & significant figures, factors & multiples, surds*

*Fractions, decimal, & percentage equivalence, percentages of amounts, percentage change, reverse percentages*

*Simplifying expressions, expanding & factorising, solving equations, sequences*

**HT2 – Fractions, Accuracy & Measure, and Perimeter & Area**

*Ordering fractions, calculating with fractions, fractions of amounts, recurring decimals to fractions, algebraic fractions
*

*Units of measure, metric units, bounds*

*Measuring lengths & angles, area & perimeter of 2D shapes, area & circumference of a circle, compound shapes, arcs & sectors*

**HT3 – Indices & Standard Form, Formulae, Functions, & Simultaneous Equations, and Pythagoras & Trigonometry**

*Estimating powers & roots, laws of indices, negative & fractional indices, using and calculating standard form
*

*Rearranging formulae, inverse & composite functions, simultaneous equations, constructing equations*

*Pythagoras’ theorem, finding missing lengths & angles using trigonometry, applying to 3D situations*

**HT4 – Ratio & Proportion and Angles, Polygons, & Circle Theorems**

*Using & dividing into ratios, direct & inverse proportion, constructing & applying proportion equations
*

*Rules of angles, angles on parallel lines, interior & exterior angles, properties of polygons, circle theorems*

**HT5 – Quadratics, Averages, Range, & Data, and Probability**

*Expanding & factorising quadratics, solving quadratics, the quadratic formula, nth term of a quadratic sequence
*

*Averages & range, quartiles & the inter-quartile range, collecting & displaying data, bar charts & pie charts, frequency tables*

*Simple probability, theoretical & experimental probability, tree diagrams, Venn diagrams, conditional probability*

**HT6 – Revision and Real Life & Linear Graphs**

*Revision and consolidation of Y10 topics seen up to this point
*

*y=mx+c, parallel & perpendicular lines, distance-time graphs, other real life graphs, solving equations graphically*

**Year 11 Curriculum**

**HT1 – Further Geometry, Non-Linear Graphs, and Volume & Surface Area**

*Recap of angles, Pythagoras’ theorem, and trigonometry, sine & cosine rules, ½ ab sinC, exact trigonometric values
*

*Roots, intercepts, & turning points, Sketching and interpreting quadratic graphs, cubic & reciprocal graphs, exponential & trigonometric graphs*

*Properties of 3D shapes, plans & elevations, volume, surface area*

**HT2 – Similarity, Congruence & Transformations and Further Data & Statistics**

*Converting lengths, areas, & volumes, similar shapes, congruence, transformations
*

*Recap of averages, charts, & tables, scatter graphs, histograms, cumulative frequency, box plots*

**HT3 – Inequalities, Compound Measures, and Further Algebra**

*Linear inequalities, quadratic inequalities, inequalities on a graph
*

*Metric units, speed-distance-time, density-mass-volume*

*Recap of algebra skills, simultaneous equations involving a quadratic, iteration, algebraic reasoning & proof, transforming graphs, equation of a circle*

**HT4 – Constructions, Loci, & Bearing, Vectors, and Further Graphs & Rates of Change**

*Bisectors, shapes & angles, loci, scale drawings, bearings
*

*Using and applying vectors, vector problem solving, using vectors for proof*

*Recap of straight-line graphs, growth & decay, average & instantaneous rates of change, areas under curves*

**HT5 – Revision for GCSE Examinations**

*Revision and consolidation of all GCSE content*

**HT6 – GCSE Examinations**

*Students sit their GCSE examinations*

Assessment at KS4

Students are working towards their GCSE examinations at the end of Y11. We follow the AQA GCSE Mathematics specification, and the students are taught all topics between the beginning of Y10 and the end of Y11, building on their work at KS3.

The GCSE papers are each 90 minutes long and have a total of 240 marks on offer across all three papers:

**Paper**1 – Non-Calculator (80 marks)**Paper****2**– Calculator (80 marks)**Paper****3**– Calculator (80 marks)

The questions included aim to assess three core assessment objectives:

**AO1**: Use and apply standard techniques**AO2**: Reason, interpret and communicate mathematically**AO3**: Solve problems within mathematics and in other contexts

To prepare for these examinations, KS4 student sit a number of Progress Tests and Mock Exams:

**Y10 Autumn Term 2**– Progress Tests**Y10 Spring Term 2**– Progress Tests**Y10 Summer Term**– Mock Exams**Y11 Autumn Term 1**– Progress Tests**Y11 Autumn Term 2/Spring Term 1**– Mock Exams**Y11 Autumn Term 2**– Progress Tests

Each of these papers includes content covered up to that point on the KS4 curriculum.

Y11 students are also given a Review Pack of Y10 content at the beginning of Autumn Term 1, and full Past Paper Packs at the beginning of Autumn Term 2, Spring Term 1, and Summer Term 1, in order to aid their revision and practise of prior learning.

KS5 curriculum and assessment

**What will I study?**

The new A-Level course consists of two Pure Mathematics modules, and one Applied Mathematics module covering Statistics and Mechanics. A few of the topics from the GCSE Higher Tier are revisited at A level but, in general, students will be studying new topics and a much wider syllabus.

Pure Mathematics will consider proof, algebra, co-ordinate geometry, sequences and series, trigonometry, exponentials and logarithms, calculus and functions.

In Applied Mathematics, Statistics considers mathematical models in probability and statistics; data presentation and interpretation; statistical distributions and hypothesis testing. Mechanics considers mathematical models; kinematics; forces and Newton’s laws and moments.

As students’ progress throughout the two-year course, their mathematical maturity will increase and they will begin to appreciate the beauty and immense power of Mathematics.

The course encourages an understanding of Mathematics and mathematical processes in a way to promote confidence and foster enjoyment. It develops the ability to reason logically, to generalise, and to construct sound mathematical proofs.

**How will I be assessed?**

Exam Board: Edexcel

Syllabus no: 9MA0

Each module is assessed by a 2 hour exam, worth 33.3% of the qualification, taken at the end of Year 13. There is no coursework..

**Component 1: **Pure Mathematics

**Component 2: **Pure Mathematics

**Component 3: **Applied Mathematics

**What are the entry requirements?**

A-Level Mathematics assumes that students will use the mathematical background and expertise developed at GCSE. Thus, a minimum of a Grade 7 at GCSE is required. Students must be willing to enter into a partnership with their Mathematics teachers in order to share the more extensive knowledge of mathematical ideas and methods. Students must have a genuine interest in the subject and appreciate that, in terms of technical skills and understanding, it is quite different from the GCSE course. Students will need to have the maturity to take responsibility for their learning and understanding with the support of their Mathematics teachers.

**Combinations**

Mathematics is one of the oldest academic subjects. It therefore is well respected for university entrance and combines well with other A-Level subjects, whether they are art, science or language-based.

Extra and super-curricular opportunities

The Maths department offers a number of extra and super-curricular opportunities for our students.

**Clubs**

– Open to students from Y7 and Y8. Students tackle different puzzles each week, either by going head-to-head, or by working collaboratively to solve a variety of hands-on challenges.*Puzzle Club*Open to students from Y8 and Y9. Students are exposed to some of the more creative areas of maths, and develop their problem solving skills by tackling some challenging, and incredibly interesting, problems.*Matheletes –*Open to students from Y7-9. Students engage with a number of hands-on projects, applying their knowledge of both mathematics and science in a fun and fascinating setting.*STEM Club (in partnership with the Science department) –*Open to students from Y10 and Y11. Students see the most challenging area of KS4 matheamtics and go beyond the GCSE curriculum. Some students will sit the FSMQ examination at the end of Y11 and get a highly respected, formal qualification.*FSMQ Further Mathematics –*There are a variety of study and revision clubs on offer to maths students in Y10, Y11, Y12, and Y13. Each of these sessions are run by the maths teachers and are tailored to the demands of each year group.*Maths Gym, Drop-Ins, Maths Clinic –*

**Trips**

In collaboration with the History department, the Mathematics department takes students to Bletchley Pack each year to engage in a day exploring the immensely important role of codebreakers during the Second World War. Bletchley Park was home to Alun Turing’s team, who cracked the Enigma cipher machine in 1941. Students enjoy a day of cracking codes and learning about the vital impact that codebreakers have had on the history of the world.

**KS3 Projects**

During the last week of every term, students in years 7, 8, and 9 complete the following projects over the course of a number of lessons:

**Autumn Term: **Numeracy in Business

**Spring Term: **Shape & Space

**Summer Term: **Data Collection

These projects encourage our KS3 students to apply their mathematical learning to real-world situations. They work collaboratively and need to show initiative and effective communication in order to be successful.

**Sixth Form**

Sixth Form students are offered a number of opportunities to see the real-world application of their learning. They learn about the life of inspirational Iranian mathematician Maryam Mirzakhani; they explore the maths behind Covid-19; and they compete in an investment simulator. Our Sixth Form students also support a local primary school by assisting in their maths lessons, and watch speakers discuss their routes into mathematical careers.

Future opportunities (careers, university courses)

A positive result in GCSE Mathematics is a requirement for the majority of professions. At A-Level, Mathematics is one of the most well-respected courses and provides a route into a number of degree courses, and subsequent careers.

At most universities, A-Level Mathematics is an essential requirement for the following degree courses:

- Accountancy
- Actuarial Science
- Aeronautical Engineering
- Chemical Engineering
- Chemistry
- Civil Engineering
- Computer Science
- Economics
- Electrical Engineering
- Engineering (General)
- Mathematics
- Mechanical Engineering
- Physics
- Statistics

A-Level Mathematics is also considered highly valuable for the following degree courses:

- Architecture
- Biochemistry
- Biology
- Biomedical Sciences
- Business Studies
- Dentistry
- Environmental Science
- Geography
- Geology
- Management Studies
- Medicine
- Optometry
- Physiotherapy
- Surveying
- Veterinary Science

Aside from the invaluable knowledge gained in both GCSE and A-Level Mathematics, students also develop the problem solving skills that are essential for all future careers.