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.