The King's School Grantham

Isaac Newton's School

    Year 12 Mathematics Curriculum

    Key topics to be taught this year:

    Autumn Term

    AS Topic Pure

    Further details about the topic

     

    1

    Ch1: Algebraic Expressions

    Ch2: Quadratics

    Ch3: Equations and Inequalities

    Ch4: Graphs and Transformations

    Ch5: Straight line Graphs
    Ch1: Index Laws, Expanding brackets, Factorising, Surds, Rationalising Denominators

    Ch2: Solving Quadratics, Completing the Square, Functions, Graphs, The Discriminant, Modelling

    Ch3: Linear Simultaneous Equations, Quadratic Simultaneous Equations, Graphs, Linear and Quadratic inequalities, Graphs of inequalities

    Ch4: Cubic, Quadratic and Reciprocal Graphs, points of intersection, translating graphs, stretching graphs, Transforming functions.

    Ch5: Equation of a straight line, parallel and perpendicular lines, length and area, modelling with straight lines.

    2

    Ch6: Circles

    Ch7: Algebraic Methods

    Ch8: The Binomial expansion

    Ch9: Trigonometric ratios

    Ch10: Trigonometric identities and equations

    Ch6: Midpoints and perpendicular bisectors, Equation of a circle, Intersection of straight lines and circles, Tangent and Chords. Circles and Triangles.

    Ch7: Algebraic fractions, Dividing polynomials, The Factor Theorem, Proof.

    Ch8: Pascal’s Triangle, Factorial notation, The Binomial expansion, Binomial estimation.

    Ch9: The Cosine rule, Sine Rule, Area of a Triangle, Solving problems, Graphs of Trigonometric functions, Transforming Trigonometric graphs.

    Ch10: Angles in four quadrants, Exact Trigonometric ratios, , Trigonometric identities, Solving trigonometric equations.

    Spring Term

     

     

    1

    Ch11: Vectors

    Ch12: Differentiation

    Ch13: Integration

    Ch14: Exponentials and Logarithms

    Ch11: Vectors, Representing Vectors, Magnitude and direction, Position Vectors, Solving Geometric problems, Modelling with Vectors.

    Ch12 Gradients of Curves, Finding the derivative, differentiating quadratics, Differentiating functions with more than one term, Gradients, Tangents, Normals, increasing and Decreasing functions, Stationary points, Modelling with differentiation

    Ch13: Indefinite integrating, Finding functions, Definite integrals, Area under a curve, Areas between curves and lines.

    Ch14: Exponential function, Exponential modelling, Logarithms, Laws of logarithms, solving equations using logarithms, working with Natural Logarithms, Logarithms and non-linear data.

    2

    AS Applied

    Ch1: Data Collection

    Ch2: Measures of Location and Spread

    Ch3 Representations of Data

    Ch4: Correlation

    Ch5: Probability

    Ch6: Statistical distributions

    Ch7: Hypothesis Testing

    Ch8: Modelling in Mechanics

    Ch9: Constant Acceleration

    Ch10: Forces and Motion

    Ch11: Variable acceleration

    Ch1: Populations and samples. Sampling, Non-Random samples, Types of Data, The large Data set.

    Ch2: Measures of central tendency, Other measures of location, Measures of spread, Variance and Standard deviation, coding.

    Ch3: Outliers, Box plots, Cumulative frequency, Histograms, comparing data.

    Ch4: Correlation, Linear Regression

    Ch5: Calculating Probabilities, Venn Diagrams, Mutually exclusive and independent events, Tree diagrams.

    Ch6: Probability distributions, The binomial Distribution, Cumulative probabilities

    Ch7: Hypothesis testing, Finding critical values, One-tailed tests, Two-tailed tests.

    Ch8: Constructing a model, Quantities and units, working with vectors.

    Ch9: Displacement time graphs, Velocity, time graphs, Constant Acceleration formulae, Motion under gravity

    Ch 10: Force Diagram, Forces and acceleration, Motion in 2D, Connected particles, Pulleys.

    Ch11: Function of time, using differentiation/max and Min problems, Using integration.

    Summer Term

    A2 Applied

     

    1

    Ch1: Regression Correlation and hypothesis testing

    Ch2: Conditional probability

    Ch3: The normal Distribution

    Ch4: Moments

    Ch5: Forces and friction

    Ch6: Projectiles

    Ch7: Applications of Forces

    Ch8: Further Kinematics

    Ch1: Exponential Models, Measuring correlation, Hypothesis testing

    Ch2: Set Notation, Conditional probability, Venn diagrams, Tree Diagrams

    Ch3: The Normal Distribution, The inverse Normal distribution function, The Standardised Normal distribution, Finding μ and σ, Approximating a Binomial distribution, Hypothesis testing with the normal distribution

    Ch4: Moments, Equilibrium, Centres of Mass, tilting.

    Ch5: Inclined planes, Friction

    Ch6: Horizontal and vertical components, Projection at an angle, Projectile motion formulae.

    Ch7: Static particles, modelling with statics, Friction and Statics, Dynamics and inclined planes, connected particles.

    Ch8: Vectors and kinematics, Vectors and projectiles, Variable acceleration in one and two dimensions

    2

    Revision

    A2 Pure

    Ch1 Algebraic methods

    Ch5 Radians

    End of year Exam

    Ch1: Proof by contradiction, Algebraic fractions, Partial fractions, Algebraic division

    Ch5: Radian Measure, Arc Length, Area of Segments and sectors, Solving Trigonometric equations, Small angle approximations

    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 Year 10 students By invitation all year