# Year 10

##### Program Overview

Standard

Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Your Number’s Up Filling in the Spaces Symbolic Give Me a Sine Get Lucky Number Geometry Algebra Geometry and trigonometry Statistics and probability Relationships Form Logic Form Relationships System, equivalence Measurement, representation Representation, equivalence Measurement, pattern Model, system Identities and relationships Scientific and technical innovation Identities and relationships Personal and cultural expression Identities and relationships Discovering equivalence is a key element to the better understanding of mathematical systems Finite resources should be considered when building new structures Exercising prior knowledge allows us to express relationships as systems of equations Measurement in trigonometry is enhanced by recurring patterns Combinations of statements and the relationships between them form systems and models A and B A, B, C and D A, B and C A, B and C B and C Communication and transfer Creative thinking Communication Collaboration Transfer Defining rational and irrational numbers, working with surds and applying index laws. Perimeter/area and surface area/volume of composite shapes/objects. Algebraic fractions, inequalities, simultaneous equations, equations and further algebraic manipulation. Quadratic equations. Right angled trigonometry, applications and bearings. Similarity and congruence. Combining transformations. Independent and multiple events, tree diagrams and conditional probability.

Extended

Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Going Straight Square Curves The Power of the Absurd Sine of the Times Probably Not Algebra Algebra Number Geometry and trigonometry Probability and statistics Relationships Relationships Form Relationships Logic Pattern, system Model, representation System, representation Space, measurement System, quantities Scientific and technical innovation Identities and relationships Scientific and technical innovation Orientation in space and time Identities and relationships Mathematical relationships lead to a better understanding of how patterns observed geometrically can be expressed algebraically Seemingly complex relationships can be described concisely Symbolic representation can cross cultures and countries Repeating phenomena can be modelled using circular relationships Outcome likelihoods are not always black and white A, B and C B, C and D A and C A, B and C A and D Collaboration Transfer Communication Collaboration Creative thinking Algebraic fractions, linear equations and their graphs, simultaneous equations, coordinate geometry, piecewise functions. Quadratic equations, their graphs and properties, quadratic sequences. Scientific notation, surds, indices and exponential equations. The trionometric ratios, sine and cosine laws, the unit circle and trigonometric graphs. Mutually exclusive events, tree diagrams, venn diagrams and conditional probability