Pythagoras investigations and applications

This lesson is one in a series of lessons on Pythagoras theorem. Students work in small groups to investigate the application of Pythagoras’ theorem to problems in a practical or theoretical context. They apply the ‘context > representation > exploration > interpretation > investigation’ cycle to questions of interest or problems in a context involving right-angled triangles and lengths and communicate their findings to others.

Additional details

Year level(s) Year 8
Audience Teacher
Purpose Teaching resource
Format Web page
Teaching strategies and pedagogical approaches Mathematics investigation, Questioning, Explicit teaching
Keywords problem solving, right-angled triangles, Maths Hub lesson plan

Curriculum alignment

Curriculum connections Critical and creative thinking
Strand and focus Number, Measurement
Topics Pythagoras and trigonometry
AC: Mathematics (V9.0) content descriptions
AC9M8N01

Recognise irrational numbers in applied contexts, including square roots and Π


AC9M8M06

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


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

Copyright details

Organisation

Commonwealth of Australia

Copyright

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