Please note: This site contains links to websites not controlled by the Australian Government or ESA. More information here.
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.
|Year level(s)||Year 8, Year 9|
|Purpose||Assessment task, Extension, Student task, Teaching resource|
|Teaching strategies and pedagogical approaches||Collaborative learning, Differentiated teaching, Explicit teaching, Feedback, Mathematics investigation|
|Keywords||square, rectangle, area, ratio|
|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||
Recognise and use rates to solve problems involving the comparison of 2 related quantities of different units of measure
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
Number patterns and algebraic thinking (P8)
Proportional thinking (P5, P7)
Understanding geometric properties (P7)
Understanding money (P9)
© Andrew Blair 2012-21. Creative Commons BY-NC-SA 4.0.