Menu

Mathematics and Numeracy

KS3 Curriculum

There are six forms in Years 7 to 11. In Year 7 the girls are taught in form groups until the start of Year 8, when they are set.  The students are split into two equal populations, from each of these a set 1 is formed with the remainder forming two set 2’s. All sets follow the same scheme of work and are taught in parallel. In Year 9 students are again split into two populations, with three classes on one side of the year and four classes on the other. Again on each side of the year group a set 1 is formed with the remainder of students forming parallel set 2’s.

In Years 7, 8 and 9 we have adopted the approach advocated by the Mathematics Enhancement Programme (MEP) using both the Exploring Maths and STP Mathematics series of textbooks. The pupils enjoy this highly interactive method as it links well to their junior school experience. Lessons follow the three (at least) part structure and include a starter, a plenary as well as the main content.

The Department have produced detailed schemes of work for Years 7, 8 and 9 based on the STP Mathematics series which are for use by the class teacher, but which are not to be seen as the only way of delivering the material. Most topics have PowerPoint presentations which can be used to teach the topic or give information about what needs to be covered in each topic.

A test lesson ends each unit of work (approximately two weeks). In KS3 this will usually include going over a revision sheet and a common written test, which is marked by the teacher for the next lesson. These tests are used to determine the pupil tracking grades four times a year which, together with the end of year examination, are used to determine the report grade for the full report. All tests must be collected in from the pupils before they leave a lesson and kept securely. For all years, it is essential that parallel sets stay close together as the scheme of work progresses through the syllabus. This enables continual discussion about subject matter and pupil response and for the setting process.

Term

Maths Year 7

Autumn 1

  • Logic and Venn Diagrams – logic problems and venn diagrams
  • Properties of Number – Order of operations, directed number, powers and roots, HCF and LCM

Autumn 2

  • Angles and Shape – Corresponding and alternate angles, angles in triangles and quadrilaterals, properties of shape
  • Expressions, Equations and Formulae - simplifying expressions, using formulae, solving linear equations, forming linear equations, solving problems in context

Spring 1

  • Measures and Mensuration – Perimeter area, volume of prisms, surface area of prisms
  • Calculations with Fractions and Percentages – Multiplication, division, addition and subtraction, equivalent fractions, mixed numbers, percentage change and percentage problems

Spring 2

  • Calculations with Fractions and Percentages – Multiplication, division, addition and subtraction, equivalent fractions, mixed numbers, percentage change and percentage problems
  • Statistical Enquiry 1 – mean, median, range and mode, stem and leaf diagrams, statistical investigations

Summer 1

  • Sequences, Functions and Graphs – Term to term, position to term, nth term and exploring patterns, drawing and sketching linear graphs, real life graphs, quadratic graphs
  • Revision for End of Year Exam

Summer 2

  • Transformations – Reflection, rotation, translation, enlargement, length area and volume
  • Expressions, Equations and Formulae – multiplying out brackets, factorising, rearranging formulae, solving linear equations
  • Probability – Theoretical and experimental, probability of two events

Listing outcomes and mutually exclusive events

Assessment

Students are assessed by :-

  • Topic tests
  • Investigations

Term

Maths Year 8

Autumn 1

  • Working with Numbers – index notation, standard form, significant figures, estimating
  • Linear Equations – equations with brackets, forming and solving equations, algebraic fractions, equations with fractions, inequalities

Autumn 2

  • Fractions and Percentages – finding the whole given the part, convert between fraction, decimal and percentage, percentages of quantities, percentage increases and decreases
  • Continuous Data – discrete and continuous data, charts for continuous data, frequency polygons, scatter graphs and lines of best fit, questionnaires

Spring 1

  • Circles, Volume and Density – Circumference and area of a circle,

Finding the radius, circle problems, volume of a prism, volume of a cylinder, density

Spring 2

  • Straight Line Graphs – points on a line, plotting equations, gradients of lines, equations of a line, intersecting lines, parallel and perpendicular lines, conversion graphs

Summer 1

  • Solving Equations – forming and solving equations, simultaneous equations – solving in a variety of methods and in context, solving equations graphically, trial and improvement,  quadratic equations, finding square roots
  • Pythagoras – Pythagoras Theorem, 3,4,5 triangles, Isosceles triangles, lengths of chords in circles
  • Revision for End of Year Exam

Summer 2

  • Ratio- calculating ratios, simplifying ratios, dividing in a given ratio, map ratios and proportion.
  • Scale Drawings – scale drawings, bearings, angles of elevation and depression, constructing triangles
  • Polygons – Interior and exterior angles, patterns in polygons

Assessment

Students are assessed by :-

  • Topic tests
  • Investigations

Term

Maths Year 9

Autumn 1

  • Travel – speed, distance, time and travel graphs
  • Working with Number – bounds, fractions and decimals (converting), standard form
  • Probability – mutually exclusive and independent evets, tree diagrams, venn diagrams

Autumn 2

  • Algebraic products – expanding a single bracket, expanding two brackets, factorising a linear expression, factorising a quadratic, difference of two squares, factorising when the co-efficient of x² is not 1
  • Ratio and Proportion – ratio, direct proportion and inverse proportion
  • Grouped Data – five figure summary, cumulative frequency, averages of grouped data
  •  Formulae and Sequences –  constructing formulae, substitution, rearranging formulae, nth term of a sequence and geometric sequences

Spring 1

  • Percentages – income tax, reverse percentages, percentage increases and decreases, simple and compound interest
  • Simultaneous and Quadratic Equations – simultaneous equations-  solving graphically, by elimination and worded problems. Quadratic equations – solving by factorisation, constructing and solving equations, trial and improvement

Spring 2

  • Tangent – finding missing sides and angles in triangles, applications to worded and real life problems
  • Sine and Cosine - finding missing sides and angles in triangles, applications to worded and real life problems
  • Similar Shapes – using similarity to find missing lengths in shapes and to solve problems involving similarity

Summer 1

  • Transformations – Reflections, Rotations, Enlargements, Vectors, Translations and combining transformations
  • Graphs – graphs in context, solving quadratics graphically, cubic graphs, reciprocal graphs, gradient of a graph, recogonising curves
  • Area and Volume – area of a trapezium, arc length and sector area, volume of a prism including worded problems, dimensions

Summer 2

  • Congruency- rules of congruency, congruency problems, construction
  • Surface Area – surface area of cylinders, prisms, spheres and pyramids
  • Geometry and Proof– geometry proof, using counter argument to disprove, circle theorems proof

Assessment

Students are assessed by :-

  • Topic tests
  • Investigations

 

KS4 Curriculum

At the start of KS4 one accelerated maths group is formed and it completes the GCSE Mathematics syllabus by the beginning of Year 11. This group goes on to study the Level 2 Certificate in Further Maths, which it taken with their GCSE at the end of Year 11. The remaining students study the higher linear Edexcel GCSE Mathematics specification, which they all take at the end of Year 11. This allows the lower ability sets more time for consolidation and for the higher ability sets to work on some topics of the A level specification.

 

All students follow a differentiated scheme of work using a combination of the Essential Mathematics for Higher GCSE text book and the Oxford GCSE Maths Higher text book.

Separate homework textbooks may be issued to the students, but homework is set from the school VLE.

 

Homework at KS4 (1 hour to 1 hour 30 minutes) is set once a week. This may relate to the topic being taught or a past paper. This homework is marked by the teacher with feedback highlighting areas of improvement.

Topics Covered in Year 10

  • Geometry and Measure – Angle properties of polygons, angle properties of parallel lines
  • Statistics – Sampling and data collection, questionnaires, finding mean of large data sets and of grouped data
  • Sequences – Finding nth term of sequence, term to term rule, position to term rule, generating sequences
  • Transformations – Lines of symmetry, order of rotation, 2D representation of 3D shape
  • Number – Conversion of recurring decimals to fraction, highest common factor, lowest common multiple
  • Geometry and Measure – Area and perimeter of compound shape, area and circumference of circle
  • Equations and Formulae – Expanding and simplifying linear expressions
  • Equations and Formulae – Expanding two brackets, factorising linear and quadratic expressions
  • Statistics – Stem and leaf diagram, box plots, cumulative frequency curves, median and quartiles of data sets
  • Number – Index laws for multiplication and division, negative powers and fractional powers
  • Solving Equations – Solving linear equations including x on both sides, solving equations in context
  • Geometry and Measure – Volume of right prisms, surface area of prisms including cylinders
  • Statistics – Mutually exclusive and independent events, experimental probability, tree diagrams
  • Number – Repeated percentage change, simple and compound interest, percentage problems
  • Graphing – Plot straight lines, find the equation of a straight line, find parallel and perpendicular gradients
  • Statistics – Scatter graphs, lines of best fit, correlation and interpolation, 
  • Number – Writing numbers in standard form, calculation with standard form including multiplication and division
  • Number  – Simplification of surds, multiplication of surds, rationalising the denominator
  • Algebra – Use of symbols and formulae, substitution, deriving a formula, using formulae
  • Geometry and Measure – Pythagoras Theorem and trigonometry in 2D, finding length, finding angles
  • Geometry and Measure – Circle theorem properties, proofs using circle theorems

Topics to be covered in Year 11

  • Transformations – Negative and fractional enlargements, combination of transformations
  • Geometry and Measures – Constructions, bisector of line and angles, loci, bearings, scale drawing
  • Algebra  – Solving simultaneous equations graphically and algebraically, solving equations in context
  • Statistics – Drawing histograms, frequency density, interpreting histograms
  • Algebra – Plot quadratic curves, solve simple quadratic equations by factorising.
  • Geometry and Measures – Constructions, bisector of line and angles, loci, bearings, scale drawing
  • Algebra – Solving linear equalities, plot on number line, plot in two dimensions, change the subject of formula
  • Geometry and Measures – Perimeter and areas of arcs, volume of complex shapes and prisms
  • Algebra – Proportion, direct and inverse, plotting cubic and reciprocal graphs, interpreting graphs in context
  • Algebra – Solving quadratic equations, solving quadratics and linear simultaneous equations, equation of a circle
  • Geometry and Measures – Vector geometry, sum of two vectors, scalar multiples
  • Geometry and Measures – 3D trigonometry, angle between line and plane, sine and cosine rules
  • Algebra – Trigonometric curves, transformation of curves, translation, stretch, reflections
  • Algebra – solving inequalities, draw inequalities and draw regions that involve inequalities. Solve quadratic inequalities
  • Geometry and Measures – Use similarity to find missing lengths, areas and volumes. Explain why shapes are congruent
  • Algebra – Use function notation to find values including composite functions. Solve equations using iteration
  • Algebra – draw distance/ time and velocity/ time graphs. Find area under graphs and gradients of graphs. Use equations of motion
  • Algebra – solve quadratic equations by factorising, using formula or completing the square.
  • Geometry – know exact trigonometric ratios for 45, 60, 30
  • Algebra – simplify algebraic fractions, add, subtract, multiply and divide algebraic fractions
  • Algebra – use proof to solve algebraic problems.

 

A Level

In the Sixth Form, Mathematics is one of the most popular A Level subjects where the Edexcel specification is followed. The time allocation is 4.5 hours each week, with two members of staff teaching each group. The is reduced to 8 hours a week in Year 13 with again two members of staff

The A Level courses for Mathematics and Further Mathematics consist of three elements - Pure Mathematics (compulsory element), Statistics and Mechanics.  Decision Mathematics may also be studied at Further Mathematics.

Students in the Year 12 accelerated set will complete the A Level by the end of that year.  They will then have the opportunity in Year 13 of taking two or four more modules, in order to obtain an AS or A Level in Further Mathematics.

Year 12

Autumn

Half Term 1

(7 weeks)

Autumn

Half Term 2

(7 weeks)

Spring

Half Term 1

(5 weeks)

Spring

Half Term 2

(6 weeks)

Summer

Half Term 1

(6 weeks)

Summer

Half Term 2

(7 weeks)

Teacher 1

(5 hrs)

Surds and Indices (4)

Quadratics (5)

Functions (1)

Simultaneous Equations (2)

Inequalities

(set notation) (2)

(14/16)

Graph Sketching and Transforming (4)

Differentiation (7)

Integration (5)

(16/18)

Vectors (5)

Exponentials (2)

Logs (4)

Proof (3)

(14/14)

Mechanical

Modelling (2)

Kinematics (constant acceleration) (4)

Kinematics (variable acceleration) (4)

(10/14)

Forces (7)

(7/14)

Sequences (8)

Proof (2)

(10/16)

Teacher 2

(4 hrs)

Coordinate Geometry (8)

Polynomials and Binomial (4…)

(12/13)

Polynomials and Binomial (…3)

Trigonometry (9)

(12/14)

Sampling and Types of Data (3)

Measures of Central Tendency and Spread (5)

(8/11)

Finding Outliers and Cleaning Data (1)

Representing (single variable) Data (4)

Bivariate Data and Regression Lines (2)

Probability (4)

(11/11)

Statistical Distributions (3)

Hypothesis Testing (3)

(6/11)

Trig with radians (5)

Algebraic Fractions (2)

Partial Fractions (3)

(10/14)

 

Year 13

Autumn

Half Term 1

(7 weeks)

Autumn

Half Term 2

(7 weeks)

Spring

Half Term 1

(5 weeks)

Spring

Half Term 2

(6 weeks)

Summer

Half Term 1

(6 weeks)

Summer

Half Term 2

(7 weeks)

Teacher 1

 

Differentiation (include convex/concave curves) (9)

Integration (4...)

(13/13)

Integration (…6)

Parametric Equations (5)

(11/12)

Vectors (3)

Forces (3)

Moments (4)

(10/11)

Projectiles (3)

Vectors (4)

(7/11)

REVISION!

(6/11)

REVISION!

EXAMS!

(10/14)

Teacher 2

 

Further Trigonometry (10)

 (10/13)

Binomial (3)

Graphs and Functions (7)

Numerical Methods (4)

(14/14)

Regression (3)

Conditional Probability (5)

 (8/11)

Normal Distribution (7)

(7/11)

REVISION!

(11)

REVISION!

EXAMS!

(14)

 

Beyond the Classroom

Extra - Curricular Activities in Mathematics.

The Department is keen to promote the enjoyment of mathematics.  As part of this, students are encouraged to attempt the NRICH monthly mathematics puzzles and each year students are entered for the UKMT Maths Challenges – see below.

A Puzzle Club is also run which seeks to promote the NRICH resources and ‘Plus Magazine’. Students from this club are also encouraged to take part in the NRICH team activities in Years 8 and 10. There is also a good selection of contemporary books on mathematical themes in the school library.

There is lunchtime support for those who are struggling in Year 7. The teacher uses mathematical activities (particularly from the Internet) to help the students practise basic concepts and skills.

Mathematical Challenges

Junior Competitions

All year eight pupils are entered for the UK Junior Mathematical Challenge (JMC). This is a 1-hour, 25 question multiple choice paper. Certificates are awarded on a nationally proportional basis- Gold about 6%, Silver about 14% and Bronze about 20% of all entrants. The highest scoring pupil receives a 'Best in School Certificate'.

The Junior Mathematical Olympiad (JMO) is the follow-up competition and high scoring pupils of the JMC are invited to participate. It is a 2-hour paper, which has two sections. Section A contains 10 questions and pupils are required to give the answer only. Section B contains 6 questions for which full written answers are required. Candidates are not expected to complete all of section B. Exceptional candidates are awarded gold, silver and bronze medals and the top 25% receive a 'Certificate of Distinction'.

Intermediate Competitions

Year 11 set 1 pupils and year 10 accelerated pupils are entered for the UK Intermediate Mathematical Challenge (IMC). The paper and certificates are organised in a very similar manner to the JMC.

High scoring pupils of the IMC are invited to sit either the European Intermediate Mathematical Kangaroo (1 hour paper, which contains 25 multiple choice questions) or an Olympiad paper (2 hours and contains 6 questions for which full written answers are required.)

Senior Competitions

Year 12 and 13 students are invited to enter for the UK Senior Mathematical Challenge. Like the other challenges, it is a 25-question mathematical challenge paper. However, it lasts for 90 minutes and is marked in schools. Certificates are awarded as with the other challenges. The follow-up competitions are organised by the British Mathematical Olympiad Committee.

Students as Mentors

In 2007-08 we started a scheme using 6th form students as mentors to the Year 7 & 8 students in maths lessons. The students were asked to volunteer, giving a brief outline of why they wanted to do it and what they would bring to it. They were then trained and acted as a one to one mentors/support for lower year students at lunchtimes.

The Department felt that this had been very useful and has widened the year groups involved with mentor now being selected from Years 9, 10 and 11.

 

 

Links to Useful Sites

Subject Documents Date  
A level l3 further mathematics specification.pdf 19th Jul 2018 Download
A level l3 mathematics specification.pdf 19th Jul 2018 Download
Gcse maths 2015 specification.pdf 19th Jul 2018 Download
Your browser is out-of-date!

Update your browser to view this website correctly. Update my browser now

×