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6th Form Curriculum Guide - Year 12 Maths
Term 1Y12 Unit 1 Pure Maths  
Algebra and functions Algebraic expressions – basic algebraic manipulation, indices and surds Quadratic functions – factorising, solving, graphs and the discriminants Equations – quadratic/linear simultaneous Inequalities – linear and quadratic (including graphical solutions) Graphs – cubic, quartic and reciprocal Transformations – transforming graphs – f(x) notation
Assessment: Internal test of 50 minutes duration on all topics covered during Unit 1. Pure Maths is 62.5% of the Year 12 course. It is assessed through a 2 hour exam (internal) at the end of Year 12. A suitable calculator is required (Casio Class Wizz).Key Words and Terms
 
Term 2Y12 Unit 2 Pure Maths  
Further algebra; The binomial expansion Algebraic division, factor theorem and proof Coordinate geometry in the (x, y) plane; Straight-line graphs, parallel/perpendicular, length and area problems Circles – equation of a circle, geometric problems on a grid Trigonometry; Trigonometric ratios and graphs Trigonometric identities and equations
Assessment: Internal assessment of 50 minutes duration on the topics coveredd in this unit. Pure Maths is 62.5% of the Year 12 course. It is assessed through a 2 hour exam (internal) at the end of Year 12. A suitable calculator is required (Casio Class Wizz). Key Words and Terms
 
Term 3Y12 Unit 3 Pure Maths  
Differentiation Definition, differentiating polynomials, second derivatives. Gradients, tangents, normals, maxima and minima. Integration Definition as opposite of differentiation, indefinite integrals of xn Definite integrals and areas under curves Vectors (2D) Definitions, magnitude/direction, addition and scalar multiplication Position vectors, distance between two points, geometric problems Exponentials and logarithms: Exponential functions and natural logarithms
Assessment: Internal assessment of 50 minutes duration on the topics coveredd in this unit. Pure Maths is 62.5% of the Year 12 course. It is assessed through a 2 hour exam (internal) at the end of Year 12. A suitable calculator is required (Casio Class Wizz). Key Words and Terms
 
Term 4Y12 Applied Mathematics - Statistics  
Data presentation and interpretation (part 1): Calculation and interpretation of measures of location; Calculation and interpretation of measures of variation; Understand and use coding Statistical distributions: Use discrete distributions to model real-world situations; Identify the discrete uniform distribution; Calculate probabilities using the binomial distribution (calculator use expected) Probability: Mutually exclusive events; Independent events Statistical sampling Introduction to sampling terminology; Advantages and disadvantages of sampling Understand and use sampling techniques; Compare sampling techniques in context. Statistical hypothesis testing Language of hypothesis testing; Significance levels Carry out hypothesis tests involving the binomial distribution Data presentation and interpretation (part 2): Interpret diagrams for single-variable data; Interpret scatter diagrams and regression lines; Recognise and interpret outliers; Draw simple conclusions.
Assessment: These topics are assessed through a 1 hour 15 minute exam (internal) at the end of Year 12. A suitable calculator is required (Casio Class Wizz). During the year students complete topic based assessments under formal test conditions.Key Words and Terms
 
Term 5Y12 Applied Mathematics - Mechanics  
Quantities and units in mechanics Introduction to mathematical modelling and standard S.I. units of length, time and mass Definitions of force, velocity, speed, acceleration and weight and displacement; Vector and scalar quantities Kinematics 1 (constant acceleration) Graphical representation of velocity, acceleration and displacemen Motion in a straight line under constant acceleration; suvat formulae for constant acceleration; Vertical motion under gravity Forces & Newton’s laws Newton’s first law, force diagrams, equilibrium, introduction to i, j system Newton’s second law, ‘F = ma’, connected particles (no resolving forces or use of F = μR); Newton’s third law: equilibrium, problems involving smooth pulleys Kinematics 2 (variable acceleration) Variable force; Calculus to determine rates of change for kinematics Use of integration for kinematics problems
Assessment: These topics are assessed through a 1 hour 15 minute exam (internal) at the end of Year 12. A suitable calculator is required (Casio Class Wizz). During the year students complete topic based assessments under formal test conditions.Key Words and Terms
 
Term 6Y12 Term 6
Further development of Pure Maths skills: Proof Algebraic and partial fractions Functions and modelling
Assessment: During term 6 students are assessed on the whole curriculum covered during Year 12 through formal end of year exams. Key Words and Terms
 

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