Learning objects Measures: similar solids

TLF ID L2312

Compare the sizes and angles of a range of cubes and rectangular prisms. Notice that 'similar solids' in the mathematical sense have the same shape and possibly different sizes. Corresponding sides are in proportion, and corresponding angles are equal. Identify solids that are similar, and create solids similar to given objects. This learning object is the fourth in a series of eight objects that progressively increase in difficulty.



Educational details

Key learning objectives
  • Students manipulate solids to distinguish between similar and non-similar objects.
  • Students identify corresponding sides and angles of solids.
  • Students apply mathematical language and criteria to identify and create similar solids.
Educational value
  • Illustrates the meaning of corresponding angles, corresponding sides, proportions and similar solids.
  • Enables students to manipulate solids to distinguish between similar and non-similar objects.
  • Provides criteria needed to identify and create similar solids.
  • Provides opportunities to use multiplication facts in ratio and scale situations.
  • Includes scalable solids with lengths and angles displayed using whole numbers.
Year level

9

Learning area
  • mathematics
Strand
  • Mathematics/Measurement and geometry
    Concept
    • Mathematics/Shape perception
    • Mathematics/Ratio and proportion
    • Mathematics/Rectangular prisms
    • Mathematics/Size and shape
    • Mathematics/Scale
    • Mathematics/Scaling
    • Mathematics/Geometry
    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.