Pythagoras’ theorem two ways

In this lesson, students use Pythagoras’ theorem to calculate unknown side lengths in right-angled triangles after undertaking a step-by-step method of working through visual and algebraic proofs simultaneously. This will help students develop deeper connections between algebra and measurement in this context.

Additional details

Year level(s) Year 9
Audience Teacher
Purpose Teaching resource
Format Web page
Teaching strategies and pedagogical approaches Classroom talks, Mathematics investigation, Worked examples, Explicit teaching
Keywords right-angled triangles, problem solving, proofs, congruency, similarity, algorithms, Maths Hub lesson plan

Curriculum alignment

Curriculum connections Critical and creative thinking
Strand and focus Measurement
Topics Pythagoras and trigonometry, Using units of measurement, Computational thinking
AC: Mathematics (V9.0) content descriptions
AC9M9M03

Solve spatial problems, applying angle properties, scale, similarity, Pythagoras' theorem and trigonometry in right-angled triangles


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

Copyright details

Organisation

Commonwealth of Australia

Copyright

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