Apply deductive reasoning to proofs involving shapes in the plane and use theorems to solve spatial problems

Content descriptor

Apply deductive reasoning to proofs involving shapes in the plane and use theorems to solve spatial problems.

Code

AC9M10SP01

Year level

Year 10

Subject

Mathematics

Strand

Space

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Learning intention

We are learning to apply deductive reasoning to proofs involving shapes in the plane and use theorems to solve spatial problems.

Cloze sentence

Apply   reasoning to proofs involving shapes in the plane and use theorems to solve spatial problems.

Related Year 10 Mathematics descriptors

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• 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
• AC9M10M03Solve practical problems applying Pythagoras’ theorem and trigonometry of right-angled triangles, including problems involving direction and angles of elevation and depression

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