 # Mathematics

Miss E Pugh (Head of Department and Head of the Faculty of Maths, ICT & Electronics)

## Key Stage 3

### Year 7

#### Term 1

• Fractions, Decimals, Percentages
• Angles 0 ° to 360 °; acute, obtuse, reflex.
• Area and perimeter.
• Rectangles, triangles and parallelograms.
• Includes compound shapes.
• Angles on a straight line; at a point; vertically opposite.
• Angles of a triangle; equilateral/isosceles.
• Mean, median, mode of discrete data.
• Interpret graphs/diagrams; pictograms; pie charts.

#### Term 2

• Algebra Notation, HCF and LCM - Factors and prime numbers, Prime factors.
• Ratio.
• Ven diagrams
• Simple algebraic equations.
• Scale 0-1, words of probability.
• Fractions +/-

#### Term 3

• Nth term of a sequence

#### Ways in which parents can help

1. Year 7 pupils need to learn their times tables in the following fashion: 1x8=8, 2x8=16... up to the 12 times table.
2. Year 7 pupils must show their workings out to all questions.
3. Year 7 pupils should look in their book at worked examples to help them with class work and homework.

#### Useful Websites

1. Hwb
2. Woodlands Junior Maths Timestable
3. BBC bitesize and NGFL Cymru

#### Useful Books/Magazines/Publications

There are no specific books that could be recommended; any KS3 mathematic books would be useful or any logical puzzle books. These help in developing different strategies and confidence.

Key Stage 3 Revision Guides and Study Guides

#### Numeracy

Numeracy topics are studied throughout the year by multi-stage problem solving.

Questions are:

• Division
• Long multiplication
• Negative numbers
• Probability
• Quality of written communication
• Ratio
• Time

### Year 8

#### Intermediate - Syllabus A(set1/2/3)

• Multiplying and dividing decimals
• BODMAS
• Using a calculator
• Percentages and ratio
• Perimeter, area, volume and density
• Interior and exterior angles of a polygon
• Co-ordinates and plotting graphs

#### Foundation - Syllabus B (set 4/5)

• Multiplying and dividing by 10, 100, 1000 etc
• Long multiplication and division (Numeracy)
• Simplifying algebraic expressions, expanding single brackets, subsitution and simple equations/inequalities.
• Probability
• Pie charts/scatter graphs/line
• Graphs/Revise pie charts

#### Intermediate - Syllabus A(set1/2/3)

• Number patterns and finding the nth term
• Equations
• Grouped frequency diagrams, frequency polygons, estimated mean and scatter groups
• Fractions
• Probability trees
• Solving inequalities

#### Foundation - Syllabus B (set 4/5)

• Perimeter, area and volume
• Enlarge with whole number scale factor
• Reflective and rotational symmetry
• Angles on parallel lines
• Polygons
• Tessellations/congruent shapes
• Converting between decimals, fractions and percentages
• Understand compound interest
• Percentage increase, decrease/use ratio
• Co-ordinates
• Bearings

#### Intermediate - Syllabus A(set1/2/3)

• Unit conversion
• Multiplying, dividing and zero indices
• Angles to parallel lines
• Travel graphs

#### Foundation - Syllabus B (set 4/5)

• Grouped data.
• Mean/median/mode/range grouped data.
• Sequences.

#### Ways in which parents can help

1. Practice times tables with pupils at home.
2. Practice basic numeracy and mental maths around the home and shopping. eg money.
3. Encourage pupils to use the school resource centre at home.

#### Useful Websites

1. NGFL Cymru
2. Woodland primary school (good for basic numeracy).
3. Numeracy world

#### Useful Books/Magazines/Publications

1. Any KS3 revision guide
2. You could try and get child to look at puzzle books such as suduko's.
3. KS3 text books Exploring maths

#### Numeracy

Numeracy topics are studied throughout the year by multi-stage problem solving questions.

Questions are:

• Money
• Fractions/decimals/percentages
• Using a calculator
• Shape and space
• Probability
• Time and time zones
• Quality of written communication

### Year 9

#### Term 1

• Cumulative frequency.
• Box and whisher graphs.
• Stratified sampling.
• Strandard form.
• Product of prime factors.
• Co-ordinates, graph work and solving equations from graphs.
• Pythagoras theorem.

#### Term 2

• Reverse percentage.
• Compound interest.
• Fractions.
• Simultaneous equations.

#### Term 3

• Similar triangles
• Loci.
• Algebra - change the subject.
• Rational and irrational numbers
• indices and surds.

#### Term 1

• Cumulative frequency.
• Rounding, upper and lower bounds.
• Estimation.
• Pythagoras theorem.
• Compound and simple interest.

#### Term 2

• Simultaneous equations.
• Transformations.
• Loci.
• Co-ordinates and graph work.

#### Term 3

• Standard form.
• Trigonometry.

#### Ways in which parents can help

1. Check pupils' books regularly for progress comments and completion of work. Do the basics and check for good mental arithmetic (knowledge of tables) and when shopping etc working out best out purchases and discounts advertised in shops..
2. If the pupil has fallen behind or stuck on a topic to encourage pupil to attend extra help session on a Thursday lunchtime with nominated teacher. Alternatively arrange a time with classroom teacher.

#### Useful Websites

1. UKMT website - good extension activities
2. BBC Bitesize.
3. Lower ability groups resources on woodlands-junior.kent.sch.uk

#### Useful Books/Magazines/Publications

1. Any Key stage 3 and Key Stage 4 revision guide.
2. Puzzle books and Sudoku which encourage logical thinking.
3. There are good maths games on the market such as Big Brain Training etc.

#### Numeracy

Numeracy topics are studied throughout the year by multi-stage problem solving questions.

Questions are:

• Bearings and loci
• Formulae
• Money
• Ratio
• Shape and space
• Percentage and fractional change
• Comparing and analysing data from tables

## Key Stage 4

### Mathematics GCSE

Mathematics is a core subject and is regarded, alongside English, as one of the key subjects in which to gain a qualification in order to enhance career prospects.

At the end of Year 9, students sit an exam which is levelled to the National Curriculum. Along with teacher assessment which is moderated, the student is given a level.

At the start of Year 10 students are placed into a set appropriate to their level. Under certain circumstances pupils are offered early entry. At foundation level pupils try for the C Grade and then to push onto the higher paper to get the B grade. At higher, pupils sit early to progress onto the Additional Maths Level 2 Certificate which helps prepare for A Level Maths.

At the lower ability end, pupils are offered Entry Level and, in some cases, Numeracy Level 1.

It is the aim of the department to get pupils to reach the highest standard they can possibly achieve and ensure that they are well prepared for both internal, external examinations and the world of work or higher education. The mathematical skills and knowledge taught should also enable pupils to transfer them to other subjects in the school e.g. Physics, Chemistry, Biology, Economics, Geography and also to everyday situations.

## Key Stage 5

### Mathematics , Further & Double Mathematics

#### Course Details

Qualification Level: AS & A Level
Awarding Body: WJEC
QAN Ref. No. - Mathematics AS Level: 603/1983/5
QAN Ref. No. - Mathematics A Level: 603/1984/7
QAN Ref. No. - Further Mathematics AS Level: 603/1977/X
QAN Ref. No. - Further Mathematics A Level: 603/1980/X

#### Course Content

##### AS Level

The AS course is made up of the Core Maths and compulsory Statistics and Applied Maths. The AS course is worth 40% of the A Level.

The Pure Maths content consists mainly of calculus, trigonometry, algebra and co-ordinate geometry.
Applied Maths courses are involved with dynamics, Newton's Laws of motion, differentiation - non constant acceleration, projectiles, friction and moments. This topic supports Physics.

Statistics courses include the study of probability, sampling, hypothesis testing, data collection and methods of analysis. This topic supports Business / Finance and Biology.

#### Assessment Procedure

For both AS and A Level all assessment takes place at the end of the year.

#### Entry Requirements

Minimum entry is a B grade in Higher GCSE Mathematics and/or Numeracy.

#### Progression

After AS Level, students then progress onto A2 where they do another Pure Unit with compulsory Statistics and Applied Maths.
The Double A Level will be offered which then covers the Further Pure Maths course which also includes Statistics and Applied Maths Units.

##### Double/Further Mathematics

The A Level is offered in Year 12 with all units sat at the end of Year 12. Students must follow on into Year 13 and complete either the AS or Double Further Maths course with all units sat at the end of Year 13.