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

Content descriptor

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

Code

AC9M10M03

Year level

Year 10

Subject

Mathematics

Strand

Measurement

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Learning intention

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

Cloze sentence

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

Related Year 10 Mathematics descriptors

• AC9M10A01Expand, factorise and simplify expressions and solve equations algebraically, applying exponent laws involving products, quotients and powers of variables, and the distributive property
• AC9M10A02Solve linear inequalities and simultaneous linear equations in 2 variables; interpret solutions graphically and communicate solutions in terms of the situation
• AC9M10A03Recognise the connection between algebraic and graphical representations of exponential relations and solve related exponential equations, using digital tools where appropriate
• AC9M10A04Use mathematical modelling to solve applied problems involving growth and decay, including financial contexts; formulate problems, choosing to apply linear, quadratic or exponential models; interpret solutions in terms of the situation; evaluate and modify models as necessary and report assumptions, methods and findings
• AC9M10A05Experiment with functions and relations using digital tools, making and testing conjectures and generalising emerging patterns
• AC9M10M01Solve problems involving the surface area and volume of composite objects using appropriate units
• AC9M10M02Interpret and use logarithmic scales  in applied contexts involving small and large quantities and change
• AC9M10M04Identify the impact of measurement errors on the accuracy of results in practical contexts

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