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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.

Resource details
Year level
Year 8 Year 9
Purpose
Assessment tasks Student activities Teaching resource
Strand
Algebra Number Measurement
Topic
Area, volume and surface area Proportion, rates and ratios
Audience
Teachers
Format
Downloadable resource
Australian Curriculum code
AC9M8M05 AC9M9M05
Numeracy progression
Number patterns and algebraic thinking (P8) Proportional thinking (P5, P7) Understanding geometric properties (P7) Understanding money (P9)
Publisher
Inquiry Maths
Copyright
© Andrew Blair 2012-21. Creative Commons BY-NC-SA 4.0.
Keywords
area ratio