# Maths

## Teaching Staff and Responsibilities

Mrs E Elder: Subject Leader in Mathematics

Mr E Mensah: Assistant Subject Leader in Mathematics

Mrs N Adams: Head of Year 8, Teacher Key Stage 3 – 5

Mr G Elder: Teacher Key Stage 3 – 5

Miss S Wilson: Teacher Key Stage 3 – 5

Mrs K Pritchard: Teacher Key Stage 3 – 5

## KS3 (Years 7-8)

### How do we organise teaching groups at KS3?

There are five teaching sets in Year 7 to Year 9.  Year 7 girls will be taught in ability groups, using their KS2 data.  We regularly review the setting of the students, based on unit assessments throughout the year, end-of-year tests and the professional judgement of their teacher.  In Year 7 and 8, there are two parallel top groups 1 and 2, two parallel middle groups 3 and 4 and group 5.  The top four groups all have 24-30 students, but group 5 has less than 16 students, to allow them to get a greater amount of individual attention.

Currently, in Key Stage 3, classes have taught for eight fifty-minute periods each fortnight.

### What are our aims at KS3?

• To create a sensitively disciplined, stimulating and happy environment.
• To present clearly defined goals which, while being challenging, are attainable, in some measure, by all.
• To ensure that all pupils understand why such goals are important.
• To enhance each pupils’ motivation to learn.

### What will my daughter learn at KS3?

The content at KS3 is broken down into units of work, consisting of Number, Algebra, Geometry and Measures, Probability & Statistics and Ratio & Proportion.

#### Year 7

• Algebra sequences; the language of algebra; expressions; solving linear equations; substitution.
• Number mental strategies; fractions; decimals; percentages.
• Ratio & Proportion ratio; direct proportion.
• Geometry & Measures names & properties of 2D & 3D shapes; area & perimeter; angles & lines.

#### Year 8

• Algebra sequences recap; expressions involving brackets; index laws; linear functions & mappings; coordinates; equations of straight line graphs; solving equations; formulae.
• Number fractions, decimals & percentages; decimal calculations; standard form introduction; ordering decimals; order of operations; calculator use; inequality notation.
• Ratio & Proportion percentage calculations; ratio problems; functions & graphs; fractions in context; scale drawings.
• Geometry & Measures angle relationships; construction; loci; units of measure; bearings; area of compound shapes; area & circumference of circles; volume; transformations of 2D shapes.
• Probability & Statistics vocabulary of probability; probability calculations for one or two events; experimental probability; charts, tables & graphs; averages.

### Are there any websites that will support my daughter’s learning?

• http://www.mymaths.co.uk,
• http://www.bbc.co.uk/education/subjects/zqhs34j

## KS4/GCSE (Years 9-11)

### How do we organise teaching groups at KS4?

In Year 9, the students are regrouped into five sets from higher to lower, based on their end of year examination results and their progress throughout the previous two years.  They may remain in these sets until the end of year eleven, although their progress is continually monitored, both by the end-of-year exams and by informal assessments during the year, enabling set changes to be made, where appropriate.

### Which GCSE specification do we prepare pupils for?

Pearson Edexcel 1MA (linear) GCSE Mathematics specification.  More information can be found by following the link below:

https://qualifications.pearson.com/content/dam/pdf/GCSE/mathematics/2015/specification-and-sample-assesment/gcse-maths-2015-specification.pdf

For this course, the top three sets will take the Higher paper, enabling them to get a pass at grades 9 – 4. Set 5 will sit the Foundation paper enabling them to get grades from 5 – 1.

### What will my daughter learn at KS4?

We operate a three year GCSE course, starting at the beginning of Year 9, reinforcing and extending the knowledge from KS3.  The content at KS4 is broken down into units of work, consisting of Number, Algebra, Geometry & Measures, Probability & Statistics and Ratio & Proportion.

#### Year 9 (Foundation):

• Number Calculations: place value; rounding; adding & subtracting; multiplying & dividing. Fractions, decimals & percentages; fraction calculations; powers & roots; multiples; factors; prime numbers; prime factor decomposition.
• Ratio & Proportion finding the percentage of an amount.
• Algebra simplifying expressions; index laws; using, substituting into & rearranging formulae; equations, identities & functions; sequence rules & special sequences; expanding brackets & simplifying; factorising, including quadratic expressions.
• Geometry & Measures Angle relationships: angles and lines; triangles and quadrilaterals; congruence and similarity; angles in polygons. Measures; scale drawings; area of 2D shapes; transformations of 2D shapes.
• Probability & Statistics sampling, organising & representing data; averages & spread.

#### Year 10 (Foundation):

• Number approximation of calculations; calculator methods; conversion factors; calculations with roots & indices; standard form.
• Ratio & Proportion ratio; direct proportion; percentage increase & decrease; compound Interest & depreciation; reverse percentages.
• Algebra solving equations, including with brackets; solving simple quadratic equations using factorising; equation of a straight line, including y = mx + c; travel graphs.
• Geometry & Measures drawing circles; area & circumference of circles; measuring & drawing angles; construction of triangles & bisectors; loci; volume & surface area of 3D shapes.
• Probability & Statistics probability calculations; use of two-way tables, Sets & Venn diagrams, frequency trees; frequency diagrams; scatter graphs; time series graphs; averages & spread.

#### Year 11 (Foundation):

• Ratio & Proportion compound units; direct proportion; inverse proportion; growth and decay.
• Algebra drawing quadratic graphs; simultaneous equations; real-life graphs; inequalities.
• Geometry & Measures Pythagoras’ theorem; trigonometry; vectors.
• Probability & Statistics probability tree diagrams.

#### Year 9 (Higher):

• Number index laws; standard form; rational numbers; reciprocals; surds.
• Ratio & Proportion fractions, decimals & percentages; compound Interest & depreciation; reverse percentages.
• Algebra simplifying expressions; using formulae; expanding double brackets; factorising by withdrawing HCF; factorising quadratic expressions; changing the subject; setting up & solving linear equations; simplifying basic algebraic fractions; functions, inverses & composite; equivalences in algebra; proofs.
• Geometry & Measures Pythagoras’ theorem in 2D & 3D; Angle relationships: triangles and quadrilaterals; congruence and similarity; angles in polygons; properties & construction of 2D & 3D shapes; area of 2D shapes, including sectors; volumes of 3D shapes, including cones, spheres & pyramids; bearings; loci; trigonometry involving right-angled triangles.
• Probability & Statistics sampling, organising & representing data; averages & spread; probability calculations; use of two-way tables, sets & Venn diagrams, probability tree diagrams.

#### Year 10 (Higher):

• Number approximations; upper & lower bounds; problems involving limits of accuracy; calculator methods.
• Ratio & Proportion comparative ratio problems; direct & inverse proportion, including reciprocal, squares & graphical representations; rates of change.
• Algebra Quadratic expressions: expanding double brackets; factorising; completing the square. Solving quadratic equations by: factorising; completing the square; quadratic formula. Algebraic fractions; proof; simultaneous equations; trial & improvement and iteration; inequalities. Recap of linear sequences; quadratic sequences; equation of a straight line, including parallel & perpendicular; linear & quadratic graphs, including circles; properties of quadratic functions.
• Geometry & Measures circle theorems.
• Probability & Statistics collecting data; averages & spread; frequency diagrams & graphs.

#### Year 11 (Higher):

• Ratio & Proportion compound measures & units; recap of equations of proportionality; problems involving rates of decay.
• Algebra cubic, reciprocal, exponential & trig graphs; kinematic graphs; real-life graphs; gradients & areas under graphs; equation of circle; advanced trigonometry: sine rule; cosine rule; area of a triangle; 3D problems.
• Geometry & Measures Vectors.
• Probability & Statistics recap of probability, including sets, Venn diagrams, tree diagrams conditional probability.

## KS5/A Level (Y12-13)

### How do we organise teaching groups at KS5?

There are two groups of A Level students in each of Years 12 and 13.  The minimum entry requirements for this course is a GCSE grade 7 and they are recommended by their subject teacher as suitable for the course.  The groups vary in size, but are usually limited to a maximum of twenty.  Pupils will have eleven 50 minute periods, in which they will study Pure Mathematics, alongside Statistics and Mechanics.

Further mathematics is an option for students who are studying A’ Level Mathematics and attain at least GCSE grade 8.

### Which A Level specification do we prepare pupils for?

http://qualifications.pearson.com/en/qualifications/edexcel-a-levels/mathematics-2017.html#tab-1

### What will my daughter learn at KS5?

Pure

• Proof; Algebra and functions; Coordinate geometry in the (x, y) plane; Sequences and series; Trigonometry; Exponentials and logarithms; Differentiation; Integration; Numerical methods; Vectors.

Statistics

• Statistical sampling; Data presentation and interpretation; Probability; Statistical distributions; Statistical hypothesis testing.

Mechanics

• Quantities and units in mechanics; Kinematics; Forces and Newton’s laws; Moments.