# Mathematics - Years 10 and 11

Below you will find more specific information about the curriculum in mathematics for Years 10 and 11 students, explaining to you what students will learn, when, why and how. There is also information about how parents/carers are able to support students in their learning, extra-curricular opportunities in this subject and how mathematics links to other subjects and the wider world.

Subject Key Concepts

#1 Number             #2 Algebra           #3 Ratio, Proportion and Rates of Change

#4 Geometry and Measure        #5 Probability               #6 Statistics

Please click here for Subject Key Concepts.

Curriculum Overview for Year 10

 Term Topic / Key Concepts   Specific Knowledge Class 10M1 10M2 10M3 10M4 10M5 10M7 Autumn Term ·  Statistics ·  Fractions ·  Recurring decimals ·  Surds ·  Indices ·  Substitution ·  Expanding brackets ·  Factorising ·  Solving linear & quadratic equations ·  Completing the square & turning points ·  Probability ·  Loci and constructions ·  Angles ·  Bearings ·  Properties of quadrilaterals ·  Pythagoras’ theorem in 2D and 3D ·  Fractions ·  Decimals ·  Percentages ·  Ratio ·  Prime factor decomposition ·  Highest common factor, lowest common multiple ·  Indices ·  Substitution ·  Expanding & factorising ·  Solving linear equations ·  Rearranging formulae ·  Sequences ·  Iteration ·  Probability ·  Properties of quadrilaterals ·  Angles ·  Constructions & loci ·  Pythagoras’ theorem ·  Percentages ·  Ratio Indices ·  Operations ·  Place value ·  Decimals ·  Indices ·  Factors, multiples & primes ·  Simplifying & substituting ·  Expanding brackets ·  Factorising ·  Tables, charts & graphs ·  Pie charts ·  Scatter graphs & correlation Spring Term ·  Loci and constructions ·  Similar & congruent triangles ·  Plans and elevation ·  Angles ·  Bearings ·  Properties of quadrilaterals ·  Symmetry ·  Circle theorems ·  Transformations ·  Pythagoras’ theorem in 2D and 3D ·  Trigonometry in 2D and 3D ·  Conversion of units ·  Percentages ·  Simple & compound interest ·  Depreciation ·  Ratio ·  Compound measure ·  Standard form ·  Expanding & factorising quadratics ·  Solving quadratic equations ·  Sketching graphs of functions ·  Proof ·  Inequalities ·  Area & perimeter ·  Area & circumference of a circle ·  Similar & congruent triangles ·  Rounding ·  Upper & lower bounds ·  Fractions ·  Recurring decimals ·  Surds ·  Substitution & simplifying ·  Expanding brackets ·  Linear equations ·  Rearranging formulae ·  Sequences ·  Prime factor decomposition ·  Averages & range ·  Stem & leaf diagrams ·  Cumulative frequency & box plots ·  Scatter diagrams & correlation ·  Pie charts ·  Expanding brackets ·  Factorising ·  Fractions ·  Decimals ·  Percentages ·  Linear equations ·  Inequalities ·  Error intervals ·  Sequences ·  Angles ·  Properties of shapes ·  Averages & range Summer Term ·  Probability ·  Upper & lower bounds ·  Error intervals ·  Prime factor decomposition ·  Highest common factor, lowest common multiple ·  Simultaneous equations ·  Solving and representing linear and quadratic inequalities ·  Algebraic proof ·  Rearranging formulae ·  Statistics ·  Circle theorems ·  Parallel and perpendicular lines ·  Simultaneous equations ·  Standard form ·  Transformations ·  Plans and elevations ·  Coordinates ·  Compound measures ·  Trigonometry ·  Perimeter & area including circles ·  Similar triangles ·  Approximation ·  Fractions ·  Linear graphs ·  Coordinates ·  Number revision ·  Plans & elevations ·  Quadratics ·  Perimeter ·  Area ·  Surface area ·  Volume ·  Linear graphs ·  Real-life graphs ·  Transformations ·  Ratio ·  Direct and inverse proportion ·  Pythagoras’ theorem ·  Trigonometry

Curriculum Overview for Year 11

 Term Topic / Key Concepts   Specific Knowledge Class 11M1 11M2 11M3    11M4 11M5 11M7 Autumn Term ·  Area of sector and segment & length of an arc ·  Area and volume of prisms, cones and spheres ·  Similar areas and volumes ·  Straight line graphs ·  Distance-time and velocity-time graphs ·  Algebraic fractions ·  Area of sector and segment & length of an arc ·  Surface area and volume of prisms, cones and spheres ·  Similar areas and volumes ·  Quadratic expressions ·  Non-linear graphs ·  Equations of circles ·  Proportion ·  Further trigonometry ·  Trigonometric & exponential graphs ·  Trigonometry ·  Transformations ·  Similar areas and volumes ·  Area of sector and segment & length of an arc ·  Surface area and volume of prisms, cones and spheres ·  Simultaneous equations ·  Quadratic expressions ·  Non-linear graphs ·  Equations of circles ·  Ratio & proportion ·  Distance-time and velocity-time graphs ·  Functions ·  Standard form ·  Transformations ·  Number revision ·  Congruent shapes ·  Similar shapes ·  Linear equations ·  Dual bar charts & estimating ·  Expanding & factorising ·  Vectors ·  Ratio ·  Probability ·  Compound units ·  Percentages ·  Proportion ·  Plans & elevations ·  Constructions & loci ·  Bearings & scale drawings ·  Quadratic equations & graphs ·  Perimeter ·  Area ·  Surface area ·  Volume Spring Term ·  Proportion ·  Vectors ·  Circle Theorems ·  Non-linear graphs ·  Graph transformations ·   Functions ·  Distance-time and velocity-time graphs ·  Functions ·  Vectors ·  Solving quadratic equations ·  Simultaneous equations ·  Algebraic fractions ·  Sampling ·  Graph transformations ·  Further trigonometry ·  Trigonometric & exponential graphs ·  Vectors ·  Solving quadratic equations ·  Simultaneous equations ·  Sampling ·  Graph transformations ·  Algebraic fractions ·  Area including circles, arc length & sector area ·  Surface area ·  Volume ·  Compound measures ·  Linear graphs ·  Non-linear graphs ·  Bounds ·  Frequency polygons ·  Simultaneous equations ·  Sampling ·  Fractions & reciprocals ·  Indices ·  Standard form ·  Congruence ·  Similarity ·  Vectors ·  Changing the subject of a formula ·  Graphs ·  Simultaneous equations Summer Term

Useful documents:

Please click here for a PDF of curriculum overview (Year 10).
Please click here for a PDF of curriculum overview (Year 11).

While this information covers a broad range of areas, please do get in touch with the Subject Lead Mr Foley for
Year 10
or Mr Kempster for Year 11 if you have any questions.

Please click on the questions below to find out more.

Edexcel

#### How are groups organised?

Depending on ability, students will sit the exam at either Higher level or Foundation level.

Sets 1, 2, 3, 4 - Higher
Sets 5a and 5b - Foundation (although there is still a possibility to transfer to Higher)
Sets 7a , 7b and 7C - Foundation

N.B.: Sets 5a and 5b are parallel sets where students are of similar ability, as are sets 7a and 7b.

#### What characteristics does a successful mathematics student have?

A mathematical student will be inquisitive looking for links between different topics and how they link to other subjects. They will enjoy problem solving and always be willing to give a question a go and persevere even if it does not go right the first time.

#### How will students learn at this level?

Mathematics is taught using a variety of techniques including the use of calculators but also written methods. Much of our work at GCSE is individual work but there are additional opportunities for students to work in pairs and small groups. Groups are prepared well for the exam by extensive exam type question practice. Students are expected to be able to explain their methods and show workings to support their answers.

#### How will students’ learning be assessed at this level?

Students are assessed at the end of Year 11 by three examination papers each 1.5 hours in duration. One paper is a non-calculator assessment with the other two allowing calculators to be used.

#### When do key assessments take place?

May of Year 10 – End of year exam (2 papers one non-calculator and one calculator)
January of Year 11 – Mock exam (3 papers)
June of Year 11 – GCSE external exams

#### How can parents/carers support students’ learning?

• Monitor that your child is doing homework set to the best of their ability and is being proactive where they do not understand.
• Purchase revision guides, workbooks - we sell these during Year 10.
• Encourage them to work on My Maths or Maths Watch (that the school pay a subscription for) to look up topics they need more support or further practice on.
• Revision classes are held in Term 2 of Year 11 after school. Encourage your child to attend them.
• Revision classes are also put on during study leave. Please encourage your child to attend them.

#### What equipment do students need for this subject?

• Scientific calculator – can be purchased from school
• Pair of compasses
• Protractor
• Ruler
• Pen
• Pencil

#### How does mathematics link to other subjects?

Science and Technology - Science and Maths are intimately connected, particularly in fields such as chemistry, astronomy and physics. Students who can't master basic arithmetic skills will struggle to read scientific charts and graphs. More complex Maths such as geometry and algebra can help students solve scientific problems. Maths is also important in practical sciences, such as engineering and computer science. Students may have to solve equations when writing computer programs and figuring out algorithms.

Humanities - Humanities often require students to review charts and graphs that provide data or information. Knowledge of basic mathematical terms and formulas makes statistical information accessible.

The Arts - Musical rhythm often follows complex mathematical series, and Maths can help students learn the basic rhythms of dances used in ballet and theatre performances. Art thrives on geometry, and students who understand basic geometric formulas can craft impressive art pieces.

#### What websites or resources may be helpful to support students’ learning?

https://corbettmaths.com/

http://www.mrbartonmaths.com/index.html

https://www.mathsgenie.co.uk

YouTube can be a useful site to find video explanations of different concepts

vle.mathswatch.co

CGP GCSE Workbooks and Revision Guides

#### What extra-curricular or enrichment opportunities are available for students in mathematics at this level?

• Set 1 are entered for the Edexcel Level 3 Award in Algebra
• Set 7C are entered for the Edexcel Level 1 Awards in Number and Measure and Statistics
• UKMT Intermediate Maths Challenge (Year 10 set 1) and UKMT Senior Maths Challenge (Year 11 set 1)

#### What sort of careers can mathematics lead to?

• Engineering and construction;
• Accountancy and other financial services;
• Statistical analysis e.g. business, sport etc.;
• Encryption coding;
• Security;
• Visual presentation of data-media services;
• Catering industry and a myriad of other careers.

#### What does student’s work look like in mathematics at this level?

Students mostly work in squared exercise books or on worksheets stuck into the books.

#### How does mathematics support a broad and balanced curriculum, meeting the needs of all students, and developing traditional core skills?

Broad and balanced curriculum - Maths links to multiple subject areas using a range of skills. We deal with all major concepts of maths in every term. Many of the topics are covered in real world concepts.

Meeting the needs of all students - The students are taught in ability groups within their bands. There are different resources used according to ability.

Traditional core skills - Non-calculator techniques are emphasised throughout and mental problem solving skills are encouraged. Students are taught how to use a calculator, checking the output makes sense rather than just blindly believing the answer given.

#### How does this subject promote creativity, critical thinking, practice, perseverance and resilience, and making links?

Creativity and critical thinking - Problem solving and making links between different concepts.

Practice, perseverance and resilience - We actively encourage students to revise for tests and exams and to always have a go at a question

Making links - Where possible, links are made between different subject areas such as Geography and Science.

#### How does this subject encourage enrichment and the development of cultural capital, deep learning, and inclusivity?

Enrichment and cultural capital - Links are made to a variety of other subjects from science, economics, music, art.

Deep learning - Topics are presented in different contexts to encourage the use of different strategies and deeper understanding

Inclusivity - The context of questions is closely monitored and adapted if necessary