# Year 11

##### Program Overview

Standard

Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Off the Straight and Narrow Where Am I? Spot the Pattern What’s the Point of a Rigourous Argument? Standard Deviants Algebra Geometry and trigonometry Algebra Algebra and geometry Statistics and probability Relationships Form Relationships Logic Relationships Model, representation Space, measurement Pattern, systems Representation, equivalence Pattern, measurement Globalisation and sustainability Orientation in space and time Personal and cultural expression Scientific and technical innovation Identities and relationships Decision making can be improved by using a model to represent relationships. Geometric representations of place and space help us to understand our world Applying our knowledge of pattern when studying systems allows us to predict Logic is a powerful tool for justifying what we discover through measurement and observation Establishing patterns in the natural world can help us to understand relationships A, B, C and D A, C and D A, B and C A, B and C A and D Communication, collaboration and critical thinking Collaboration, critical thinking Communication, collaboration Creative thinking Transfer Factorisation and completing the square of/on quadratic expressions. Graphical representation and transformations of quadratic functions. Domain and range. Solving quadratic equations and their applications in optimisation. Pythagoras theorem in 3D, working with bearings, sine and cosine laws, area of non-right angles triangles using trigonometry. Describing number sequences. Recognise and express algebraically linear and quadratic sequences. Recognise and express algebraically recurrence relations. Distance, midpoint and gradient between two points. Equations of straight lines, applications of coordinate geometry and distance from a point to a line. Measures of central tendancy and spread for discrete and continuous data. Cumulative frequency. Statistical graphs and diagrams, interpretation and analysis.

Extended

Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 A Dose of Logarithms The Return of Pascal A Series of Sequential Patterns Transforming Functions Radian or Degree? Number Algebra Algebra Algebra Geometry and trigonometry Logic Form Relationships Form Form Justification and model Patterns and representation Simplification and generalization Patterns and space Patterns and model Globalisation and sustainability Personal and cultural expression Scientific and technical innovation Personal and cultural expression Scientific and technical innovation Logic is a powerful tool for justifying what we discover through measurement and observation. Appreciating the patterns found through exploring various forms and representations of the Pascal’s triangle. Describing patterns and making generalisations helps to simplify the process in making predictions. Understanding form and shape enhances creativity. Patterns can be generalised when we extend ideas and examine form A, C and D A, B and C A A, B and C A, C and D Critical-thinking Communication Collaboration Creative thinking Transfer Laws of logarithms, solving equations using logarithms and their applications. The relationship between the Pascal’s triangle and the binomial theorem. Linear recursions, arithmetic and geometric sequences and series. Types of functions, domain and range, composite functions, and graphical transformations. Trigonometric identities and equations.