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Right-angled triangles inquiry

This prompt will guide students to make a connection between Pythagoras and trigonometrical ratios. This can build the students' conceptual understanding of what a trigonometrical ratio is. The resource includes classroom examples, teacher notes and guided questions.

Additional details

Year level(s) Year 8, Year 9
Audience Teacher
Purpose Assessment task, Extension, Student task, Teaching resource
Format Downloadable resources
Teaching strategies and pedagogical approaches Collaborative learning, Differentiated teaching, Explicit teaching, Feedback, Mathematics investigation
Keywords right-angled triangle, Pythagoras, trigonometry, ratio, similar, scale factor

Curriculum alignment

Curriculum connections Critical and creative thinking, Numeracy
Strand and focus Measurement, Space, Build understanding, Apply understanding
Topics Pythagoras and trigonometry
AC: Mathematics (V9.0) content descriptions

Use Pythagoras' theorem to solve problems involving the side lengths of right-angled triangles

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

Numeracy progression Understanding units of measurement (P10)
Understanding geometric properties (P7)
Multiplicative strategies (P9)
Proportional thinking (P7)

Copyright details


Inquiry Maths


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