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More rectangle ratios

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
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 content descriptions
ACMNA188 Solve a range of problems involving rates and ratios, with and without digital technologies

Copyright details

Organisation

Inquiry Maths

Copyright

© Andrew Blair 2012-21. Creative Commons BY-NC-SA 4.0.