Please note: This site contains links to websites not controlled by the Australian Government or ESA. More information here.
Scale factors inquiry
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.
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 | 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) |
Copyright details |
|
| Organisation | Inquiry Maths |
| Copyright | © Andrew Blair 2012-21. Creative Commons BY-NC-SA 4.0. |
Related resources
-
WS01 – Linear relationships in the real world
Use this work sample to assess students' knowledge and skills of rates and linear relationships.
Resource details -
Proportional reasoning video
Use this video as a springboard to explore scaling or proportional thinking, and to apply that thinking in a food context, drawing on reasoning and mathematical modelling.
Resource details -
Volume to surface area inquiry
This prompt sets up an investgation of the the connection between volume and surface area.
Resource details -
Volume of a cylinder inquiry
This prompt will challenge students to explore their understanding of integers and the volume of cylinders.
Resource details -
Rectangle ratios inquiry 2
This prompt will build student understanding of the area of squares and rectangles, and introduces the golden ratio.
Resource details -
Equal areas inquiry
The process of calculating and comparing the areas of composite shapes, determining similarities and differences between the area, perimeter and height of shapes.
Resource details -
2-dimensional shapes inquiry
Investigate the relationship between the features of circles and 2D shapes. Using formulas to solve problems involving circumference and area.
Resource details