Maths
Our Curriculum Aims:
We aim for our students to:
- Become fluent in the fundamentals of Mathematics so that they develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately.
- Reason mathematically by following a line of enquiry, conjecturing relationships and generalisations, and developing an argument, justification or proof.
- Solve problems by applying their knowledge to a variety of routine and non-routine problems.
- Enjoy the study of Mathematics and experience its wide-ranging cross-curricula links and application in the real-world.
- Develop their confidence, independence and resilience through being challenged.
- Have a strong knowledge and skills base to progress to the next key stage, support their studies of other subjects and to enter a wide range of technical and scientific professions.
Key Stage Three Curriculum Overview
Content
- Number
- Algebra
- Ratio, proportion and rates of change
- Geometry and measures
- Probability and statistics
Year 7
Name of topic | Key Content of the Topic | Assessment points | |
---|---|---|---|
HT1 |
Number skills recap, introduction to algebra |
Written methods for addition, subtraction, multiplication and division, decimals, rounding and estimating, negative numbers, BODMAS, simplifying algebraic expressions. |
|
HT2 |
Basic algebraic skills, simple 2D geometry, averages |
Indices, expanding brackets, solving equations, properties of quadrilaterals and triangles, area of 2D shapes and angle properties. |
Termly assessment |
HT3 |
Number calculations, types of number, fractions |
Square, cube and triangle numbers, factors, multiples and primes. Calculating with fractions; cancelling, equivalence, addition, subtraction, multiplication, division, fractions of amounts and types of averages. |
|
HT4 |
Further algebra, percentages, angles in polygons |
Solving more complicated equations, factorising, calculating percentages of amounts, percentage increase and decrease and angles in polygons. |
Termly assessment |
HT5 |
Ratio, further algebra 2, probability |
Ratio and proportion, substitution, changing the subject, calculating probabilities, sample space diagrams and expectation. |
Termly assessment |
HT6 | Coordinates, bearings, scale drawings, 3D shapes | 4 quadrant coordinates, midpoint, bearings, maps scales, scale drawing, nets of 3D shapes, 2D projections, volume and surface area of cuboids. |
YEAR 8
Name of Topic | Key Content of the Topic | Assessment points | |
---|---|---|---|
HT1 |
Sequences, functions, further ratio, further percentages |
Generate sequences, nth term, using function notation, plotting graphs, divide a quantity into a given ratio, direct and inverse proportion, calculating percentage of an amount, increases and decreases using a calculator |
|
HT2 |
Transforming shapes, similar shapes, units of measure, changing the subject, equation of straight lines |
Rotational and line symmetry in 2D shapes, reflection, rotation, translation, enlargement of 2D shapes, converting between units of measure, similar triangles, ratio in area and volume, further changing the subject, using the equation of straight-line graphs, parallel and perpendicular lines. |
Termly assessment |
HT3 |
Statistical diagrams, complex equations, further probability |
Pie charts, scatter graphs and correlation, solving equations containing fractions, trial and improvement, simultaneous equations, experimental probability, relative frequency and tree diagrams. |
|
HT4 |
Further Statistics, Pythagoras’ theorem, constructions, further indices, standard form |
Frequency polygons, averages from frequency tables, Pythagoras’ theorem, constructions, loci, laws of indices, negative and fractional indices, calculating with standard form. |
Termly assessment |
HT5 |
Inequalities, the circle |
Solving inequalities, plotting inequalities, area and circumference of a circle, arc length, sector area. |
Termly assessment |
HT6 |
Limits of accuracy, decimals |
Upper and lower bounds, converting fractions and decimals, recurring decimals |
yEAR 9
Name of topic | Key Content of the Topic |
Termly assessment |
|
---|---|---|---|
HT1 |
Algebra revision, circle theorems, simultaneous equations, sequences |
Revision of basic algebraic manipulation skills (factorising, expanding brackets, changing the subject), changing the subject by factorising, circle theorems, solving simultaneous equations algebraically and graphically, nth term of linear and quadratic sequences. |
Termly assessment |
HT2 |
Quadratic equations, complex percentages, Pythagoras revision, trigonometry |
Expanding double brackets, factorising simple quadratic expressions, percentage increase and decrease, compound interest, reverse percentages, Pythagoras’ theorem revision, right angled trigonometry. |
|
HT3 |
Further quadratic equations, similarity and congruency, 3D shape, quadratic graphs |
Solving quadratic equations by factorising, quadratic formula and completing the square. Similar triangles, congruent triangles, surface area and volume of prisms, cylinders, cones, and pyramids. Drawing quadratic graphs and solving quadratic equations graphically. |
Termly assessment |
HT4 |
Algebraic fractions, functions |
Solving equations containing fractions, adding, subtracting, multiplying and dividing algebraic fractions, using function notation, compound and inverse functions. |
|
HT5 |
GCSE content: revision of basic number, algebra and shape knowledge |
Written numerical calculations, BODMAS, factors and multiples, angle properties, scale drawing and bearings, algebraic manipulation (expanding brackets, factorising), calculations with fractions and decimals. |
Termly assessment |
HT6 |
GCSE content: revision of basic number and statistics knowledge |
Laws of indices, fractional and negative indices, surds, collecting data, frequency tables, representing data (e.g. pie charts, bar charts), frequency polygons, scatter graphs. |
Assessment
Staff continually assess the progress of pupils through a variety of techniques including low stakes retrieval tests to enable both pupils and staff to identify current strengths and areas for improvement. Following each termly assessment pupils are required to reflect on their performance and identify the key topics which require further practice. They are then set individual tasks to complete independently to close these knowledge gaps.
What can parents do to support their sons in KS3?
Collins KS3 Revision - KS3 Maths Higher Level All-in-One Complete Revision and Practice: Ideal for Years 7, 8 and 9. HarperCollins Publishers · Paperback ·ISBN 978-0-00-855145-2
Several websites have practice questions and solutions.
We recommend: mymaths.co.uk (pupils can ask their teacher for a login), corbettmaths.com and drfrostmaths.com.
There are links to videos and worksheets on the Key Stage 3 schemes of work to revise each topic:
Setting
The whole year group is divided into four or five pairs of parallel sets. Setting will take account of ability and the speed at which each pupil can work. There are large numbers of boys in the higher sets (about 30), reducing to about 12 in the lower sets.