AC9M10M03

See also: Learning Areas / Mathematics / Mathematics / Measurement / Year 10

solve practical problems applying Pythagoras’ theorem and trigonometry of right-angled triangles, including problems involving direction and angles of elevation and depression

Elaborations

• AC9M10M03_E1 - applying right-angled trigonometry to solve navigation problems involving bearings; for example, determining the bearing and estimating the distance of the final leg of an orienteering course
• AC9M10M03_E2 - applying Pythagoras’ theorem and trigonometry to problems in surveying and design, where three-dimensional problems are decomposed into two-dimensional problems; for example, investigating the dimensions of the smallest box needed to package an object of a particular length
• AC9M10M03_E3 - using a clinometer to measure angles of inclination, and applying trigonometry, and proportional reasoning to determine the height of buildings in practical contexts
• AC9M10M03_E4 - applying Pythagoras’ theorem and trigonometry, and using dynamic geometric software, to design three-dimensional models of practical situations involving angles of elevation and depression; for example, modelling a crime scene
• AC9M10M03_E5 - exploring navigation, design of technologies or surveying by First Nations Australians, investigating geometric and spatial reasoning, and how these connect to trigonometry

Achievement Standard Components

• ASMAT1001 - By the end of Year 10, students recognise the effect of approximations of real  numbers in repeated calculations.
• ASMAT1007 - Students apply Pythagoras’ theorem and trigonometry to solve practical problems involving right-angled triangles.