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
p implies q (if p then q)
the closed interval {x ∈ ℝ: a ≤ x ≤ b}
unit vectors in the directions of the cartesian coordinate axes
the set of integers, {0, ±1, ±2, ±3, …}
the derivative of y with respect to x
This is a link to some useful maths notation Please refer also to Edexcel AL Maths Specification (https://qualifications.pearson.com) Appendix 2 for a full list of notation required for Maths and Further Maths AS and AL
This course develops cognitive skills: Non-routine problem solving – expert thinking, metacognition, creativity. Systems thinking – decision making and reasoning. Critical thinking – definitions of critical thinking are broad and usually involve general cognitive skills such as analysing, synthesising and reasoning skills. ICT literacy – access, manage, integrate, evaluate, construct and communicate.
This course develops interpersonal skills: Communication – active listening, oral communication, written communication.. Relationship-building skills – teamwork, trust, intercultural sensitivity, self-presentation, conflict resolution and negotiation. Collaborative problem solving – establishing and maintaining shared understanding, taking appropriate action, establishing and maintaining team organisation.
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
p implies q (if p then q)
the closed interval {x ∈ ℝ: a ≤ x ≤ b}
the derivative of y with respect to x
unit vectors in the directions of the cartesian coordinate axes
This is a link to some useful maths notation Please refer also to Edexcel AL Maths Specification (https://qualifications.pearson.com) Appendix 2 for a full list of notation required for Maths and Further Maths AS and AL
The set of integers {+/-1. +/-2, +/-3, ...}
This course develops cognitive skills: Non-routine problem solving – expert thinking, metacognition, creativity. Systems thinking – decision making and reasoning. Critical thinking – definitions of critical thinking are broad and usually involve general cognitive skills such as analysing, synthesising and reasoning skills. ICT literacy – access, manage, integrate, evaluate, construct and communicate.
This course develops cognitive skills: Non-routine problem solving – expert thinking, metacognition, creativity. Systems thinking – decision making and reasoning. Critical thinking – definitions of critical thinking are broad and usually involve general cognitive skills such as analysing, synthesising and reasoning skills. ICT literacy – access, manage, integrate, evaluate, construct and communicate
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
p implies q (if p then q)
the closed interval {x ∈ ℝ: a ≤ x ≤ b}
the derivative of y with respect to x
unit vectors in the directions of the cartesian coordinate axes
the set of integers, {0, ±1, ±2, ±3, …}
This is a link to some useful maths notation Please refer also to Edexcel AL Maths Specification (https://qualifications.pearson.com/) Appendix 2 for a full list of notation required for Maths and Further Maths AS and AL
This course develops cognitive skills: Non-routine problem solving – expert thinking, metacognition, creativity. Systems thinking – decision making and reasoning. Critical thinking – definitions of critical thinking are broad and usually involve general cognitive skills such as analysing, synthesising and reasoning skills. ICT literacy – access, manage, integrate, evaluate, construct and communicate.
This course develops cognitive skills: Non-routine problem solving – expert thinking, metacognition, creativity. Systems thinking – decision making and reasoning. Critical thinking – definitions of critical thinking are broad and usually involve general cognitive skills such as analysing, synthesising and reasoning skills. ICT literacy – access, manage, integrate, evaluate, construct and communicate
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.
This is a link to some useful maths notation Please refer also to Edexcel AL Maths Specification (https://qualifications.pearson.com/) Appendix 2 for a full list of notation required for Maths and Further Maths AS and AL
This course develops cognitive skills: Non-routine problem solving – expert thinking, metacognition, creativity. Systems thinking – decision making and reasoning. Critical thinking – definitions of critical thinking are broad and usually involve general cognitive skills such as analysing, synthesising and reasoning skills. ICT literacy – access, manage, integrate, evaluate, construct and communicate.
This course develops interpersonal skills: Communication – active listening, oral communication, written communication.. Relationship-building skills – teamwork, trust, intercultural sensitivity, self-presentation, conflict resolution and negotiation. Collaborative problem solving – establishing and maintaining shared understanding, taking appropriate action, establishing and maintaining team organisation.
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
This is a link to some useful maths notation Please refer also to Edexcel AL Maths Specification (https://qualifications.pearson.com/) Appendix 2 for a full list of notation required for Maths and Further Maths AS and AL
This course develops cognitive skills: Non-routine problem solving – expert thinking, metacognition, creativity. Systems thinking – decision making and reasoning. Critical thinking – definitions of critical thinking are broad and usually involve general cognitive skills such as analysing, synthesising and reasoning skills. ICT literacy – access, manage, integrate, evaluate, construct and communicate.
This course develops interpersonal skills: Communication – active listening, oral communication, written communication.. Relationship-building skills – teamwork, trust, intercultural sensitivity, self-presentation, conflict resolution and negotiation. Collaborative problem solving – establishing and maintaining shared understanding, taking appropriate action, establishing and maintaining team organisation.
Further development of Pure Maths skills:
Proof
Algebraic and partial fractions
Functions and modelling