Learning objects Measures: volumes

TLF ID L2316

Compare the volumes of a range of rectangular prisms when scaling up (enlarging) side lengths by different ratios. Notice that the rectangular prisms are not similar in the mathematical sense, but it is possible to predict the effect on the volume produced by the scaling of the sides. Identify and describe the relationship between side lengths and volume when scaling up prisms. This learning object is the last in a series of eight objects that progressively increase in difficulty.



Educational details

Key learning objectives
  • Students manipulate dimensions of solids to explore how volume changes.
  • Students apply a formula to calculate the volume of a range of solids.
  • Students identify the relationship between side length and volume in non-similar solids.
Educational value
  • Demonstrates the relationship between side length and volume in a range of non-similar solids.
  • Illustrates the meaning of non-similarity in solids.
  • Features a range of scalable solids with side lengths displayed in whole numbers.
  • Provides opportunities to use multiplication facts in ratio and scale situations.
  • Includes tables to help students record the relationship between side length and volume in non-similar solids.
  • Encourages students to recognise number patterns and make a general rule based on a series of observations.
Year level

9

Learning area
  • mathematics
Strand
  • Mathematics/Measurement and geometry
    Concept
    • Mathematics/Volume
    • Mathematics/Geometry
    • Mathematics/Generalisations
    • Mathematics/Shape perception
    • Mathematics/Ratio and proportion
    • Mathematics/Rectangular prisms
    • Mathematics/Size and shape
    • Mathematics/Transformations
    • Mathematics/Scale
    • Mathematics/Scaling
    Skill
    • Analysis;
    • Application;
    • Comprehension;
    • Knowledge
    Student activity
    • Interactives;
    • Experiment;
    • Analysis;
    • Modelling
    Learning design
    • Experiential learning;
    • Independent learning;
    • Problem solving;
    • Visual learning

    Other details

    Contributors
    • Technical implementer
    • Script writer
    • Name: Rod Rees
    • Organisation: Rees Films Pty Ltd
    • Address: Blackburn VIC 3130 Australia
    • Subject matter expert
    • Name: Howard Reeves
    • Address: Lindisfarne TAS 7015 Australia
    • Educational validator
    • Publisher
    • Date of contribution: 20 Sep 2013
    • Organisation: Education Services Australia
    • Address: Melbourne VIC 3000 Australia
    • URL: http://www.esa.edu.au/
    Access profile
    • Colour independence
    • Device independence
    • Hearing independence
    Learning resource type
    • Interactive Resource
    Browsers
    • Microsoft Internet Explorer - minimum version: 8.0 (MS-Windows) - maximum version: 9.0 (MS-Windows)
    • Firefox - minimum version: (MS-Windows)
    • Safari - minimum version: 5.1 (MacOS)
    Operating systems
    • MacOS - minimum version: 10.6
    • MS-Windows - minimum version: XP - maximum version: 7
    Rights
    • © Education Services Australia Ltd, 2013, except where indicated under Acknowledgements.