# Mathematics

## 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 11, 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 7-9)

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

There are five teaching sets in Year 7 to Year 9. Year 7 pupils will be taught in ability groups, using their KS2 data. We regularly review the setting of the pupils, 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 24-28 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 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: arithmetic & special 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*

- Probability: introduction and the language; experimental probability; sample space diagrams; Set Theory & Venn diagrams; addition law.
- Number: percentages; factors & multiples; indices & index laws; standard form.
- Algebra: applying the laws of indices algebraically; geometric sequences; coordinates; straight line graphs.
- Geometry & Measure: language & properties of 2D & 3D shapes; geometric transformations; perimeter, area & volume; construction of triangles, bisectors, perpendiculars & angles.
- Ratio & Proportion: solving ratio problems; scale drawing; inverse proportion; solving proportion problems.
- Statistics: measures of location & spread; statistical graphs & diagrams.

*Year 9*

In Year 9, the pupils are regrouped into five sets, 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. This is a transitional year, reviewing and extending prior knowledge in preparation for KS4.

- Number: calculations & rounding; powers & roots; primes, factors & multiples; order of operations; standard form; surds; fractional indices.
- Algebra: algebraic manipulation; solving equations; sequences; coordinates & graphs.
- Geometry: 2D shapes; Pythagoras’ theorem; 3D shapes; angles.
- Proportion: fractions, decimals & percentages; percentages.
- Probability & Statistics: averages & spread; probability.

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

http://www.bbc.co.uk/education/subjects/zqhs34j

## KS4/GCSE (Years 10-11)

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

There are 5 sets, ranging from sets 1 – 5. As we progress through KS4, a decision will be made for pupils to be entered for Foundation or Higher.

For the GCSE course, those pupils who sit the Higher paper will have the opportunity to get a pass at grades 9 – 4. Those who enter the Foundation examination will be able to attain grades from 5 – 1. We wish to give every pupil the chance to extend themselves as far as possible.

### 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:

### What will my daughter learn at KS4?

We aim to reinforce and extend 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. The Years 10 & 11 Schemes of Work will be updated next year, following on from the recently changed Year 9 one.

*Year 10:*

**Support/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 10:*

**Challenge/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.

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

- http://www.mymaths.co.uk
- http://www.mathsgenie.co.uk/gcse.html
- https://corbettmaths.com/contents
- https://www.bbc.co.uk/education/examspecs/z9p3mnb

## KS5/A Level (Y12-13)

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

There are two groups of A Level spupil 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 pupils who are studying A’ Level Mathematics and attain at least GCSE grade 8.

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

Pearson Edexcel Mathematics. More information can be found by following the link below:

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.

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

- http://www.mymaths.co.uk
- http://www.edexcel.com
- https://www.mathsgenie.co.uk/
- https://www.physicsandmathstutor.com/
- http://www.examsolutions.net/a-level-maths-papers/Edexcel

## Future pathways/careers

- http://awm-math.org/ (Promoting women in mathematics)
- http://www.ima.org.uk/ (Institute of mathematics)