# 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 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