KS3 Mathematics

All Students have 6 Maths lessons a fortnight. In Year 7 Students are taught Maths in the same sets as all their other subjects. In Year 8, they will be set for Maths lessons according to their ability in Mathematics.

At the end of every chapter there is a written test which is teacher marked. Homework will be set at least twice a week and this will usually be marked in class by students.

Course Content

Due to the new changes to the KS3 curriculum we have invested heavily in a brand new set of resources called Pi, Theta and Delta written for the new Programme of Study and Framework. With levelled books, we can choose the right book for each pupil’s ability. The resources are interactive, fun and inspiring and are based around 10 key principles, designed to nurture confidence and raise achievement. This innovative Key Stage 3 Maths course embeds evidence-based approaches to develop confident and numerate students able to progress to KS4 and beyond and includes;

• Reflection (metacognition) is explicitly encouraged to build perseverance and confidence.
• STEM and Finance lessons highlight these important links to using maths in real life.
• Reasoning and Problem-solving are nurtured in preparation for progressing to GCSE.

There are three levels of text books used in Years 7 and 8:

Pi Course – Levels 3-6

Pi 1 (Levels 3-5)

Unit 1       Analysing and displaying data

Unit 2       Calculating

Unit 3       Expressions, functions and formulae

Unit 4       Graphs

Unit 5       Factors and multiples

Unit 6       Decimals and measures

Unit 7       Angles and lines

Unit 8       Measuring and shapes

Unit 9       Fractions, decimals and percentages

Unit 10     Transformations

Pi 2 (Levels 4-6)

Unit 1       Number properties and calculations

Unit 2       Shapes and measures in 3D

Unit 3       Statistics

Unit 4       Expressions and equations

Unit 5       Decimal calculations

Unit 6       Angles

Unit 7       Number properties

Unit 8       Sequences

Unit 9       Fractions and percentages

Unit 10     Probability

Theta Course – Levels 4-7

Theta 1 (Levels 4-6)

Unit 1       Analysing and displaying data

Unit 2       Number skills

Unit 3       Expressions, functions and formulae

Unit 4       Decimals and measures

Unit 5       Fractions

Unit 6       Probability

Unit 7       Ratio and proportion

Unit 8       Lines and angles

Unit 9       Sequences and graphs

Unit 10     Transformations

Theta 2 (Levels 5-7)

Unit 1       Number

Unit 2       Area and volume

Unit 3       Statistics, graphs and charts

Unit 4       Expressions and equations

Unit 5       Real-life graphs

Unit 6       Decimals and ratio

Unit 7       Lines and angles

Unit 8       Calculating with fractions

Unit 9       Straight-line graphs

Unit 10     Percentages, decimals and fractions

Delta Course – Levels 5-8

Delta 1 (Levels 5-7)

Unit 1       Analysing and displaying data

Unit 2       Number skills

Unit 3       Expressions, functions and formulae

Unit 4       Fractions

Unit 5       Angles and shapes

Unit 6       Decimals

Unit 7       Equations

Unit 8       Multiplicative reasoning

Unit 9       Perimeter, area and volume

Unit 10     Sequences and graphs

Delta 2 (Levels 6-8)

Unit 1       Factors and powers

Unit 2       Working with powers

Unit 3       2D shapes and 3D solids

Unit 4       Real life graphs

Unit 5       Transformations

Unit 6       Fractions, decimals and percentages

Unit 7       Constructions and loci

Unit 8       Probability

Unit 9       Scale drawings and measures

Unit 10     Graphs

Recommended Resources

• www.mathswatchvle.com

The Maths department have purchased a license to this site for all pupils. This site offers tutorials on every topic with worked examples and exam questions. This recommended resource can be used throughout the KS3 course to help with areas of difficulty, to catch up with missed work through absence and to aid revision.

• www.bbc.co.uk/schools/ks3bitesize/maths
• Students may benefit from a Key Stage 3 revision guide aimed at the level they are working at. These are available from all bookshops.
• The Maths department is open every lunchtime for any student who needs extra support.

Specialist Equipment

The following equipment is essential:

• A calculator

Higher ability students would benefit from a scientific calculator (the Casio fx is recommended)

• Protractor
• A pair of compasses

GCSE Mathematics

Mathematics is a core subject and all students are required to follow the three year course starting in Year 9 and sitting the final examinations required for a GCSE in Mathematics in Year 11.

We use the two-tier linear course from EDEXCEL (specification 1MA1).

Students are set according to ability. Sets 1, 2 and 3 follow the Higher course and Sets 4, 5 and 6 will follow the Foundation course, although decisions on the final tier will be made on an individual basis. Individuals will be assessed throughout the course and the sets constantly reviewed.

Course Content

The Foundation course consists of 43 modules taught as follows:

UNIT      UNIT OF WORK

1. Integers and place value
2. Decimals
3. Indices, powers and roots
4. Factors, multiples and primes
ASSESSMENT
5. Algebra: the basics
6. Expanding and factorising single brackets
7. Expressions and substitution into formulae
ASSESSMENT 2
8. Tables
9. Charts and graphs
10. Pie charts
11. Scattergraphs
ASSESSMENT 3
12. Fractions
13. Fractions, decimals and percentages
14. Percentages
ASSESSMENT 4
15. Equations
16. Inequalities
17. Sequences
ASSESSMENT 5
18. Properties of shapes, parallel lines and angle facts
19. Interior and exterior angles of polygons
ASSESSMENT 6
20. Statistics and sampling
21. The averages
22. Probability I
23. Probability II
ASSESSMENT 7
24. Perimeter and area
25. 3D forms and volume
ASSESSMENT 8
26. Real-life graphs
27. Straight-line graphs
ASSESSMENT 9
29. Transformations I: translations, rotations and reflections
30. Transformations II: enlargements and combinations
ASSESSMENT 10
31. Ratio
32. Proportion
33. Multiplicative reasoning
ASSESSMENT 11
34. Right-angled triangles: Pythagoras and trigonometry
35. Circles, cylinders, cones and spheres
36. Similarity and congruence in 2D
ASSESSMENT 12
37. Plans and elevations
38. Constructions, loci and bearing
39. Vectors
ASSESSMENT 13
40. Quadratic equations: expanding and factorising
41. Fractions and reciprocals
42. Indices and standard form
43. Rearranging equations, graphs of cubic and reciprocal functions and simultaneous equations
ASSESSMENT 14

The Higher course consists of 42 modules taught as follows:

UNIT                      UNIT

1. Calculations, checking and rounding
2. Rules of indices
3. Factors, multiples and primes
4. Standard form and surds
ASSESSMENT 1: UNITS 1 – 4
5. Algebra: the basics
6. Equations and formulae
7. Sequences
ASSESSMENT 2: UNITS 5 – 7
8. Averages and range
9. Representing and interpreting data
10. Scatter graphs
ASSESSMENT 3: UNITS 8 – 10
11. Fractions
12. Percentages
13. Fractions, decimals and percentages
14. Ratio and proportion
ASSESSMENT 4: UNITS 11 – 14
15. Collecting data
16. Cumulative frequency and box plots
ASSESSMENT 5: UNITS 15 & 16
17. 3D shapes and transformations
18. Constructions, loci and bearings
ASSESSMENT 6: UNITS 17 & 18
19. Perimeter, area and circles
20. Volume and surface area
21. Accuracy and bounds
ASSESSMENT 7: UNITS 19 – 21
22. Probability
23. Compound measures
ASSESSMENT 8: UNITS 22 & 23
24. Angles
25. Pythagoras’ Theorem and trigonometry
ASSESSMENT 9: UNITS 24 & 25
26. Linear graphs
27. Real-life graphs and coordinate geometry
28. Quadratic, cubic and other graphs
ASSESSMENT 10: UNITS 26 -28
30. Simultaneous equations
31. Inequalities
ASSESSMENT 11: UNITS 29 – 31
32. Congruent and similar shapes
33. Further trigonometry
ASSESSMENT 12: UNITS 32 & 33
34. Graphs of quadratic and cubic functions
35. Circle geometry and theorems
ASSESSMENT 13: UNITS 34 & 35
36. Algebraic fractions
37. More algebra
ASSESSMENT 14: UNITS 36 & 37
38. Vectors and geometric proof
39. Exponential functions and non-linear graphs
40. Direct and inverse proportion
ASSESSMENT 15: UNIT 38 – 40
41. Graphs of trigonometric functions
42. Transformations of graphs
ASSESSMENT 16: UNITS 41 & 42

Final Assessment

There are two levels of entry – Foundation and Higher. Each level consists of three written papers taken at the end of Year 11; the first is a non calculator paper and the second and third require the use of a scientific calculator. Each paper is 1½ hours long and is worth one third of the total mark. There is no coursework in GCSE Mathematics.

At the Foundation tier, candidates can achieve grades 5, 4, 3, 2 and 1.

At the Higher tier, candidates can achieve grades 9, 8, 7, 6, 5 and 4.

Ongoing Assessment

At the end of every few modules on both the Higher and Foundation courses, the students will sit a written test. All students will be given a detailed revision list and the tests will consist of past GCSE questions on the topics covered in the last few units of work. These tests are teacher marked and a grade will be given based on the grade of the topics being assessed.

Homework

Homework will be set at least twice a week. It may consist of finishing off an exercise started in class or completing another related task. This will usually be marked in class by the students.

At the end of every module of work, there will be an end of topic “review”. This will consist of past GCSE questions on the topics covered in that module of work. These reviews will be a more substantial piece of homework and students will be given several nights in which to complete this.  These reviews will be marked/commented upon by the class teacher.

Recommended Resources

• In Year 9 each student is provided with the recommended revision guide and will also be available from student services.
• www.mathswatchvle.com

The Maths department have purchased a license to this site for all pupils. This site offers tutorials on every topic with worked examples and exam questions. This recommended resource can be used throughout the GCSE course to help with areas of difficulty, to catch up with missed work through absence and to aid revision.

Specialist Equipment

The following equipment is essential:

• A scientific calculator (the Casio fx is recommended)
• Protractor
• A pair of compasses

### GCSE Statistics

Statistics is an optional course subject and students are required to follow a two year course starting in Year 10 and sitting the final examinations required for a GCSE in Statistics in Year 11.

We use the two-tier linear course from EDEXCEL (specification 1STO).

Course Content

1. The collection of data
2. Processing, representing and analysing data
3. Probability

Final Assessment

This consists of two written papers taken at the end of Year 11; both are calculator papers and require the use of a scientific calculator. Each paper is 1½ hours long and is worth one half of the total mark. There is no coursework in GSCE Statistics.

Ongoing Assessment

At the end of every few modules the students will sit a written test. All students will be given a detailed revision list and the test will consist of past GCSE questions on the topics covered in the last few units of work. These tests are teacher marked and a grade will be given based on the grade of the topics being assessed.

Homework

Homework will be set at least twice a week. It may consist of finishing off an exercise started in class or completing another related task. This will usually be marked in class by the students.

At the end of every module of work, there will be an end f topic “review.” This will consist of past GCSE questions on the topics covered in that module of work. These reviews will be a more substantial piece of homework and students will be given several nights in which to complete this. These reviews will be marked/commented upon by the class teacher.

Specialist Equipment

The following equipment is essential:

• A scientific calculator (the Casio fx is recommended)