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Open resource

Geometric reasoning (11 lessons)

In this sequence of 11 lessons, students apply similarity, enlargement and Pythagoras’ theorem to calculate lengths, areas and volumes, including on Cartesian planes.

Additional details
Year level(s) Year 9
Audience Teacher
Purpose Teaching resource
Format Web page
Teaching strategies and pedagogical approaches Explicit teaching, Worked examples, Questioning, Mathematics investigation
Keywords summative assessment, circular functions, transformations, functions, logarithmic scales, exponent laws

Curriculum alignment
Curriculum connections Numeracy
Strand and focus Space, Measurement
Topics Pythagoras and trigonometry, Using units of measurement, Angles and geometric reasoning
AC: Mathematics (V9.0) content descriptions
AC9M9SP01
Recognise the constancy of the sine, cosine and tangent ratios for a given angle in right-angled triangles using properties of similarity

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

Victoria State Government Department of Education
Copyright

© State Government of Victoria. Creative Commons BY 4.0.