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Rectangle ratios inquiry 2

This prompt is made up of a square and rectangle, which together form a large rectangle. The ratio of the length to the width of the large rectangle equals the ratio of length to width of the smaller rectangle. The ratio in the prompt is satisfied by the proportions of the golden rectangle whose length and width are in the golden ratio (φ or phi). The resource includes classroom examples, teacher notes and guided questions.

Additional details
Year level(s)	Year 8, Year 9
Audience	Teacher
Purpose	Assessment task, Extension, Student task, Teaching resource
Format	Downloadable resources
Teaching strategies and pedagogical approaches	Collaborative learning, Differentiated teaching, Explicit teaching, Feedback, Mathematics investigation
Keywords	square, rectangle, area, ratio
Curriculum alignment
Curriculum connections	Critical and creative thinking, Numeracy
Strand and focus	Algebra, Number, Measurement, Build understanding, Apply understanding
Topics	Area, volume and surface area, Proportion, rates and ratios
AC: Mathematics (V9.0) content descriptions	AC9M8M05 Recognise and use rates to solve problems involving the comparison of 2 related quantities of different units of measure AC9M9M05 Use mathematical modelling to solve practical problems involving direct proportion, rates, ratio and scale, including financial contexts; formulate the problems and interpret solutions in terms of the situation; evaluate the model and report methods and findings
Numeracy progression	Number patterns and algebraic thinking (P8) Proportional thinking (P5, P7) Understanding geometric properties (P7) Understanding money (P9)
Copyright details
Organisation	Inquiry Maths
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