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
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).
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
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).
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.
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
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).
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.
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.
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.
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
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.
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
Further development of Pure Maths skills:
Proof
Algebraic and partial fractions
Functions and modelling
During term 6 students are assessed on the whole curriculum covered during Year 12 through formal end of year exams.
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