GCSE Mathematics Years 10 & 11
Specification
EDEXCEL - The specification and assessment structure can be found at the link: https://qualifications.pearson.com/en/qualifications/edexcel-gcses/mathematics-2015.html
What will I study?
You will study numeracy; algebra; proportional reasoning; shape and space; statistics and probability; and will build on the knowledge gained during Key Stage 3. There is also an increased emphasis on the application of these skills.
What Skills and Qualities are required?
- Numeracy
- Problem Solving
- Logical reasoning
- Interpretation of data
- Clear verbal and written communication
- Literacy
How will I learn?
Most lessons will be of a structured whole class interactive style, using interactive white boards to give powerful visual images to aid students learning and understanding of many difficult concepts.
How will I be assessed?
Regular unit and diagnostic tests are used to monitor students’ progress through the course.
At the end of the course students will be assessed at the most appropriate level; Higher (nearly all students) or Foundation (approximately 15 students). Each level is assessed via three examinations, one of which will be non-calculator.
Where could it lead?
Mathematics GCSE is an essential requirement for many areas of future employment or study. This may vary from the numeracy involved in the retail industry through to academic research. Mathematics is a “gold standard” qualification, highly valued by employers and universities.
Requirements/Information
Students are placed in sets for Year 10 and Year 11 in mathematics based predominantly on their performance in the end of year 9 examination, with some information from throughout the year also being taken into account. The sets are reviewed during the first term.
Students in the top two sets may take a Further Mathematics GCSE with the AQA board. In addition to the foundation set, a few students, who go into a small set, will be taught a reduced syllabus enabling them to gain at best a Grade 7 but more likely Grades 3 to 6 at GCSE. You will need to achieve Grade 6 or better, having been taught the full syllabus, to start A level Mathematics in the Sixth Form.
Year 10
| Topic | Further details about the topic | Skills | |
|---|---|---|---|
| Autumn Term | |||
| 1 |
S14-Algebra-2 S15-Number-2 S16-Statistics-3 S17-Algebra-1 |
6B – Changing the subject 2E – Ratio | 2F - Indices 14C – Cumulative Frequency | 14D – Box plots 4D – Factorising quadratics | 4E – Difference of two squares | 4F – Solving quadratic equations by factorising |
|
| 2 |
S18–Algebra-2
S19-Geometry-4 S20-Algebra-3
S21-Number-3 |
6E – Straight line graphs | 6F – Curved graphs, turning points and intercepts | 6G – Real life graphs | 6H – Gradient – rate of change | 6I – y = mx + c 13A – Area (non trig) | 13B – Arcs and sectors of circles (non trig) 12A – Straight line graphs | 12B – Simultaneous equations 1 | 12C – Finding rules for sequence (to page 393) 5D – Direct proportion |
|
|
Spring Term |
|||
| 1 |
S22-Algebra-1
S23-Geometry-5
S24-Number-1
S25-Geometry-3 |
4G – Solving problems leading to quadratics | 4H – Use your maths! Which tent? 17A – Map scales | 17B – Constructions with ruler and compasses | 17C - Locus 1E – Recurring decimals | 1F – Surds | 1G – Use your maths! Mobile phones 10C – Pythagoras theorem | 10D – Trigonometry | 10E – Vectors | 10F – Use your maths! Sand for the park |
|
| 2 |
S26-Statistics-2
S27-Number-2
S28-Algebra-2 |
11C - Scatter graphs | 11D - Trends | 11E - Sampling | 11F – Use your maths! Maximising and minimising 2G – Estimating powers and roots | 2H – Use your maths! Holidays 6J – Areas under graphs | 6K – Distance/time, velocity/time graphs | 6L – Equations of motion | 6M – Use your maths! Hidden car costs |
|
| Summer Term | |||
| 1 |
Revision Year 10 Exam S29-Geometry-6 S30-Unit-15
|
18C – Angles of elevation and depression | 18D – 3D co-ordinates Watch your money 2 – income tax, council tax |
|
| 2 |
S31-Geometry-2 S32–Algebra-1 S33-Statistics-4 S34-Geometry-4 S35-Algebra-4
|
9G – Congruent triangles | 9H – Use your maths! Student finance 5E – Inverse proportion | 5F – Use your maths! Trim it 14E - Histograms | 14F – Comparing sets of data | 14G – Use your maths! Spruce it up 13A – Area (trig applications) | 13B – Arcs and sectors of circles (trig applications) 16A - Inequalities |
|
Year 11
| Topic | Further details about the topic | Skills | |
|---|---|---|---|
| Autumn Term | |||
| 1 |
S36-Geometry S37-Algebra-3 S38-Statistics-1 S39-Geometry-4 S40-Algebra-2 |
13E – Angles in circles | 3F – Proving circle properties | 3G – Use your maths! Save it in the home 12C – Finding rules for sequences (from page 394) | 12D – Completing the square and finding turning points | 12E - Quadratic formula | 12E – Simultaneous equations 2 8F – Venn diagrams, set notation | 8G – Independent events – the AND rule | 8H – The OR rule | 8I – Probability trees | 8J – Conditional probability | 8K – Use your maths! Bills 13C – Volume of prisms | 13D – Volume of spheres, pyramids and cones | 13E – Surface area 6C – Functions, notation, inverses, composite |
|
| 2 |
S41–Algebra-3 S42-Geometry-4 S43–Algebra-4 S44-Geometry--5 |
12G – Equations of circles and tangents to circles | 12H – Exponential functions } 12I – Graphical solution of equations | 12J – Use your maths! Fee the dogs 13F – Similar shapes | 13G – Areas and volumes of similar shapes | 13H – Use your maths! Car insurance 16B – Algebraic fractions | 16C – Equations with fractions 17D – Graphs of sine, cosine and tangent | 17E – Equations involving trig functions | 17F – Translations and reflections of functions | 17G – Use your maths! Car wash Revision for Year 11 Mock Exams |
|
| Spring Term | |||
| 1 |
S45–Algebra-2 S46–Geometry-5 S47–Algebra-4 |
6D - Iteration 18E – Sine and cosine rule | 18F – Trigonometry in 3D | 18G – Use your maths! The real cost 16D - Algebraic proof | 16E – Use your maths! Buying a house |
|
| 2 |
Revision |
|
|
| Summer Term | |||
| 1 | Revision | ||
Assessments
| Resources | Topic | Type of assessment |
|---|---|---|
| CAT 1 |
Test 3: S14–S17 Test 4: S18–S21 |
Test |
| CAT 2 |
Test 5: S22-S25 Test 6: S26-S30 Test 7: S31-S35 |
Test |
| CAT 3 |
Higher GCSE |
End of Year Examination |
| CAT 4 |
Test 8: S36 - S40 Test 9: S41 - S44 Test 10: S45 - S47 |
Test |
| CAT 5 |
Main Resources
| Resource | Details | Term |
|---|---|---|
| Text books |
Essential Maths higher GCSE 4-9 |
All |
| Recommended websites |
https://qualifications.pearson.com/en/qualifications/edexcel-gcses/mathematics-2015.html |
All |
Enrichment opportunities
| Activity | Day and time or term |
|---|---|
| Maths Challengers Club |
Wednesday Lunchtime |
| Intermediate Maths Challenge | As advertised |
| Year 10 Maths Feas | March |
| Mentoring of Year 8 or Year 9 students | By invitation |
