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Volume ratios

This prompt explores the effect of changing the dimensions of a cube on the volume. It uses ratio, scale factor and measurement. There is scope for the use of dynamic geometry and concrete materials. The resource includes classroom examples, teacher notes and guided questions.

Year level(s) Year 8, Year 9
Audience Teacher
Purpose Assessment task, Extension, Student task, Teaching resource
Teaching strategies and pedagogical approaches Collaborative learning, Differentiated teaching, Explicit teaching, Feedback, Mathematics investigation
Keywords volume, surface area, scale factor, ratio

Curriculum alignment

Curriculum connections Critical and creative thinking, Numeracy
Strand and focus Measurement, Space, 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)