Suitable for summative assessment, homework or an classroom activity, this rich task will challenge all students. The task covers identification of triangles, using Pythagoras' theorem, identifying similar triangles and finding the length of a missing side of a right-angled triangle using trigonometric identities.
Included is a marking guide, demonstrating what concepts and equations students should be applying for each question. There is also a summative test cover sheet and developmental marking rubric if you wish to use it as an assessment task.
Aligned to Australian Curriculum Year 9 Mathematics Content Descriptors:
Investigate Pythagoras’ Theorem and its application to solving simple problems involving right angled triangles (ACMMG222)
Use similarity to investigate the constancy of the sine, cosine and tangent ratios for a given angle in right-angled triangles (ACMMG223)
Apply trigonometry to solve right-angled triangle problems (ACMMG224)