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 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