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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

As a result of work through the year, and performance in a summer examination, students are placed in sets for Year 10 and 11 Mathematics.  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

Website Links

All
Equipment Pen, Pencil, full geometry set and Casio scientific calculator All

Enrichment opportunities

Activity Day and time or term
Maths Challengers Club

Friday lunchtime

F1 Simulation Wednesday Lunchtime
Intermediate Maths Challenge February
Mentoring of Year 8 or Year 9 students By invitation 

Where Next