The King's School Grantham

Isaac Newton's School

    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