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Right-angle triangle trigonometry

In this unit students build an understanding of ratios in right triangles, which leads to naming cosine, sine and tangent as trigonometric ratios. Students encounter several contexts to both make sense of and apply right-angle triangle measurement.

Additional details
Year level(s)	Year 9
Audience	Teacher
Purpose	Student task, Teaching resource, Content knowledge
Format	Web page
Teaching strategies and pedagogical approaches	Explicit teaching
Keywords	Pythagoras, hypotenuse, adjacent, opposite, tangent, cosine, sine, angle, ratio, similar, trigonometry, right-angled triangle
Curriculum alignment
Curriculum connections	Critical and creative thinking, Numeracy
Strand and focus	Space
Topics	Pythagoras and trigonometry
AC: Mathematics (V9.0) content descriptions	AC9M9SP02 Apply the enlargement transformation to shapes and objects using dynamic geometry software as appropriate; identify and explain aspects that remain the same and those that change AC9M9M03 Solve spatial problems, applying angle properties, scale, similarity, Pythagoras' theorem and trigonometry in right-angled triangles
Numeracy progression	Proportional thinking (P7) Understanding geometric properties (P7) Understanding units of measurement (P10)
Copyright details
Organisation	Illustrative Mathematics
Copyright	© Open Up Resources/Illustrative Mathematics. Creative Commons BY 4.0.