The King's School Grantham

Isaac Newton's School

    Year 12 Mathematics Curriculum

    Key topics to be taught this year:

    Autumn Term

    Topic

    Further details about the topic

     

    1

    Ch1: Problem solving
    Ch2: Surds and indices
    Ch3: Quadratic functions
    Ch4: Equations and inequalities
    Ch5: Coordinate geometry.
    Ch1: Solving problems, writing mathematics, proof.
    Ch2: Using and manipulating surds, working with indices
    Ch3: Quadratic graphs and equations, the completed the square form, the quadratic formula
    Ch4: Simultaneous equations, inequalities
    Ch5: Working with coordinates, equation of a straight line, intersection of two straight lines, the circle, intersection of a line and a curve

    2

    Ch6: Trigonometry
    Ch7: Polynomials
    Ch8: Graphs and Transformations
    Ch9: The binomial expansion
    Ch10: Differentiation
    Ch6: Trigonometric functions, solving trigonometric equations using graphs, triangles without right angles, area of a triangle
    Ch7: Polynomial expressions, dividing polynomials, polynomial equations
    Ch8: The shapes of curves, transformation of graphs, including trigonometric. 
    Ch9: Binomial expansions, selections
    Ch10: The gradient of the tangent as a limit, Differentiation using standard results, Tangents and normal, increasing and decreasing functions and turning points, sketching the graphs of gradient functions, higher order derivatives, practical problems, finding the gradient from first principles.

    Spring Term

     

     

    1

    Ch11: Integration
    Ch12: Vectors
    Ch13: Exponentials and logarithms
    Ch14: Data Collection
    Ch15: Data processing presentation and interpretation.
    Ch19 kinematics
    Ch11: Integration as the reverse of differentiation, finding areas, areas below the x-axis, further integration
    Ch12 working with vectors, vector geometry
    Ch13: Exponential functions, logarithms, natural logarithms
    Ch14: Using statistics to solve problems, sampling
    Ch15: Presenting different types of data, ranked data, discrete data, continuous data, bivariate data, standard deviation
    Ch19: The language of motion, speed and velocity, acceleration, distances and displacements, the constant acceleration formulae

    2

    Ch16: Probability
    Ch17: The binomial distribution
    Ch18: Statistical hypothesis testing using the binomial distribution
    Ch20: Forces and Newton’s laws of motion
    Ch21: Variable acceleration
    Ch16: Working with probability, problem solving
    Ch17:Intorduicing and using the binomial distribution
    Ch18: The principles and the language of hypothesis testing
    Ch20: Force diagrams, Force and motion, types of forces, pulleys, applying Newton’s second law, connected objects
    Ch21: Using differentiation and integration, problem solving.

    Summer Term

    A2 Topic

     

    1

    Ch1: Proof
    Ch2: Trigonometry
    Review of AS Algebra 1
    Ch3: Sequences and series
    Review of AS Algebra 2
    Ch4: Functions
    Ch5: Differentiation
    Review Sine and Cosine Rules
    Ch1: Problem solving, methods of proof
    Ch2: Radians, circular measure, small angle approximations
    Review of AS Algebra 1: Surds, indices, exponentials and logarithms
    Ch3: Definitions and notation, Arithmetic and Geometric sequences and series
    Review of AS Algebra 2: Equations, inequalities and polynomials
    Ch4: The Language of functions, composite functions, modulus functions
    Ch5: The shapes of curves, the chain rule, connected rates of change, the product rule and the quotient rules
    Review Sine and Cosine Rules: Working with triangles

    2

    Revision
    Ch6: Trigonometric functions
    End of year Exam
    Ch6: Reciprocal trigonometric functions, working with trigonometric functions and identities (including radians)

    Assessments:

    Autumn Term

    Topic

    Type of Assessment

    CAT 1

    All content taught up to this point

    Past paper questions

    Spring Term

     

     

    CAT 2

    All content taught up to this point

    Past paper questions

    Summer Term

     

     

    CAT 3

    All content taught up to this point

    Past paper questions

    Main Resources:

    Resource

    Details 

    Term 

    Text books

    EDEXCEL Mathematics for year 1 and AS
    EDEXCEL Mathematics for year 2 and A level
    (Hodder)

    All

    Recommended reading

    Please see link on Maths home page

    All

    Recommended websites

    http://www.mathsnetalevel.com/

    http://nrich.maths.org/frontpage

    All

    Equipment

    Pen, pencil, full geometry set and Casio scientific calculator

    All

    Enrichment opportunities:

    Activity

    Time

    Maths Challengers Club

    Friday lunchtime

    Senior Maths Challenge

    November

    Senior House Maths Challenge

    October

    Senior Team Maths Challenge

    November

    Mentoring Yr 10 students By invitation all year