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 nonlinear 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, NonRandom 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, Onetailed tests, Twotailed 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 
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 