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Trigonometric trajectories

Students’ understanding of trigonometric and Pythagorean relationships are reinforced through two engaging real-world contexts. This sequence is for students who are familiar with Pythagoras’ theorem and angles of depression and elevation. There are opportunities for students to independently design and conduct practical experiments by creating models, drawing diagrams, and conducting and refining practical experiments.

Additional details
Year level(s)	Year 10
Audience	Teacher
Purpose	Student task, Teaching resource
Format	Web page
Teaching strategies and pedagogical approaches	Mathematics investigation
Keywords	Angle, Length, Height, Tangent, Cosine, Sine, Trigonometry, Depression, Elevation
Curriculum alignment
Curriculum connections	Critical and creative thinking
Strand and focus	Space
Topics	Pythagoras and trigonometry
AC: Mathematics (V9.0) content descriptions	AC9M10M03 Solve practical problems applying Pythagoras' theorem and trigonometry of right-angled triangles, including problems involving direction and angles of elevation and depression
Numeracy progression	Understanding geometric properties (P7) Understanding units of measurement (P10)
Copyright details
Organisation	ReSolve: Maths by Enquiry
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