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).

- Spiritual
- Moral
- Social
- Cultural

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.

- Spiritual
- Moral
- Social
- Cultural

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.

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).

- Spiritual
- Moral
- Social
- Cultural

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.

- Spiritual
- Moral
- Social
- Cultural

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

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).

- Spiritual
- Moral
- Social
- Cultural

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

During term 6 students are assessed on the whole curriculum covered during Year 12 through formal end of year exams.

- Spiritual
- Moral
- Social
- Cultural