WS02 - Proof and conjecture

Use this work sample to guide assessment of students' knowledge and skills in applying Pythagoras’ theorem and trigonometry to solve practical problems involving right-angled triangles.

Additional details

Year level(s) Year 10
Audience Teacher
Purpose Assessment advice, Assessment task
Format Web page
Teaching strategies and pedagogical approaches Mathematics investigation, Feedback
Keywords trigonometry, deductive reasoning, Pythagoras’ theorem, right-angled triangles

Curriculum alignment

Curriculum connections Numeracy
Strand and focus Measurement, Space
Topics Angles and geometric reasoning, Pythagoras and trigonometry
AC: Mathematics (V9.0) content descriptions
AC9M10SP03

Design, test and refine solutions to spatial problems using algorithms and digital tools; communicate and justify solutions


AC9M10SP01

Apply deductive reasoning to proofs involving shapes in the plane and use theorems to solve spatial problems


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

Copyright details

Organisation

ACARA

Copyright

© Australian Curriculum, Assessment and Reporting Authority (ACARA) 2010 to present, unless otherwise indicated. Free-for-education material.