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Year 13 Mathematics Curriculum

Key topics to be taught this year:

Autumn Term

Topic

Further details about the topic

1

Ch2 Functions and Graphs

Ch3 Sequences and Series

Ch4 Binomial Expansion

Ch6 Trigonometric Functions

Ch7 Trigonometry and modelling

Ch2: Modulus Functions, Composite Functions, Inverse Functions, combining transformations, Solving modulus problems.

Ch3: Arithmetic Sequences and Series, Geometric sequences and series, Sum to infinity, Sigma notation, Recurrence relations, Modelling with series

Ch4: Binomial expansions, Using partial fractions

Ch6: Sec, Cosec and Cot Graphs, Trigonometric Identities, Inverse Trigonometric functions.

Ch7: Addition formulae, Double angle formulae, Solving trigonometric equations, Proving Trigonometric identities, Modelling with Trigonometric  functions.

2

Ch8 Parametric equations

Ch9 Differentiation

Ch10 Numerical methods

Ch11 Integration

Ch12 Vectors

Ch8: Parametric equations, curve sketching, points of intersection, modelling.

Ch9: Differentiating Sin x, Cos x, Exponentials and logarithms. The Chain rule, the product rule, the Quotient Rule, Differentiating Trigonometric functions, parametric differentiation, Implicit differentiation, Using second derivatives, Rates of change.

Ch10: Locating roots, Iteration, The Newton Raphson method, Applications to modelling.

Ch11: Integrating standard functions, using trigonometric identities, reverse chain rule, substitution, Parts, Partial fractions. Trapezium Rule, differential equations.

Ch12: 3D coordinates, Vectors in 3D, solving geometric problems, applications to mechanics.

Spring Term

 

 

1

Finish syllabus if necessary and then revise.

 

Revision of skills for Mock Exams

 

2

Revision

Past paper practice

Summer Term

 

 

1

Revision

Past paper practice

Assessments:

Autumn Term

Topic

Type of Assessment

CAT 1

All

Past paper questions

Spring Term

 

 

CAT 2

All

Mock Exam

Main Resources:

Resource

Details 

Term 

Text books

A2 Core for Edexcel

Edexcel AS and Modular Maths S1

All

Recommended reading

Please see link on Maths home page

All

Recommended websites

http://www.mathsnetalevel.com/

http://nrich.maths.org/frontpage

http://www.edexcel.com/quals/gce/gce08/maths/Pages/default.aspx

All

Equipment

Pen, pencil, full geometry set and Casio scientific calculator

All

Enrichment opportunities:

Activity

Day and time

Maths Challengers Club

Friday lunchtime

Senior Maths Challenge

November

Senior House Maths Challenge

October

Senior Team Maths Challenge

November

Mentoring Year 11 students By invitation from September to May

 

Where Next