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Unit 2 Essential Mathematics

This unit provides students with the mathematical skills and understanding to solve problems related to representing and comparing data, percentages, rates and ratios, the mathematics of finance, and time and motion. Teachers are encouraged to apply the …

Unit 2 | Essential Mathematics | Mathematics | Senior secondary curriculum

Unit 3 Specialist Mathematics

Unit 3 of Specialist Mathematics contains three topics: ‘Vectors in three dimensions’, ‘Complex numbers’ and ‘Functions and sketching graphs’. The study of vectors was introduced in Unit 1 with a focus on vectors in two-dimensional space. In this unit, …

Unit 3 | Specialist Mathematics | Mathematics | Senior secondary curriculum

Structure of Essential Mathematics Essential Mathematics

Essential Mathematics has four units each of which contains a number of topics. It is intended that the topics be taught in a context relevant to students’ needs and interests. In Essential Mathematics, students use their knowledge and skills to investigate …

Structure of Essential Mathematics | Essential Mathematics | Mathematics | Senior secondary curriculum

ACMSM115

apply vector calculus to motion in a plane including projectile and circular motion.

ACMSM115 | Content Descriptions | Unit 3 | Specialist Mathematics | Mathematics | Senior secondary curriculum

Structure of Specialist Mathematics Specialist Mathematics

Specialist Mathematics is structured over four units. The topics in Unit 1 broaden students’ mathematical experience and provide different scenarios for incorporating mathematical arguments and problem solving. The unit provides a blending of algebraic …

Structure of Specialist Mathematics | Specialist Mathematics | Mathematics | Senior secondary curriculum

ACMMM123

determine displacement given velocity in linear motion problems. 

ACMMM123 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum

ACMSM135

understand motion of a body under concurrent forces

ACMSM135 | Content Descriptions | Unit 4 | Specialist Mathematics | Mathematics | Senior secondary curriculum

ACMMM097

calculate anti-derivatives of polynomial functions and apply to solving simple problems involving motion in a straight line.

ACMMM097 | Content Descriptions | Unit 2 | Mathematical Methods | Mathematics | Senior secondary curriculum

ACMSM050

model periodic motion using sine and cosine functions and understand the relevance of the period and amplitude of these functions in the model.

ACMSM050 | Content Descriptions | Unit 2 | Specialist Mathematics | Mathematics | Senior secondary curriculum

ACMSM114

determine equations of motion of a particle travelling in a straight line with both constant and variable acceleration 

ACMSM114 | Content Descriptions | Unit 3 | Specialist Mathematics | Mathematics | Senior secondary curriculum

ACMSM136

consider and solve problems involving motion in a straight line with both constant and non-constant acceleration, including simple harmonic motion and the use of expressions \(\frac{dv}{dt}\), \(v\frac{dv}{dx}\) and \(\frac{d(\frac12v^2)}{dx}\) for a …

ACMSM136 | Content Descriptions | Unit 4 | Specialist Mathematics | Mathematics | Senior secondary curriculum

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