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Learning objects Scale matters: range of numbers

TLF ID L1997

Explore the use of scale on a number line. Select a ruler displaying a scale such as ones, tenths or hundredths. Look at a pair of numbers marked on a number line. Identify the number corresponding to another point. Or locate another point on the number line to complete a series of three numbers. Apply a marked scale to help you estimate the relative distances. This learning object is a combination of four objects in a series of seven objects.



Educational details

Key learning objectives
  • Students apply efficient multiplicative or additive strategies to locate numbers on a given scale.
  • Students use a scale to measure discrete quantities.
  • Students locate numbers (including negative numbers) accurately on a continuous scale.
  • Students identify how variations in unit size relate proportionally to the number of units that will fit into a given space.
Educational value
  • Students see scales as diagrammatic representations reflecting the placement of unit lengths along a line.
  • Students recognise that scales are additive and multiplicative, and that parts of scales can be separated and combined.
  • Students recognise that scales can be discrete (whole numbers) or continuous (such as decimals or fractions).
  • Random generation of points and numbers supports repeated use.
Year level

6; 7

Learning area
  • mathematics
Strand
  • Mathematics/Number and algebra
    Concept
    • Mathematics/Volume
    • Mathematics/Number lines
    • Mathematics/Place value
    • Mathematics/Ratio and proportion
    • Mathematics/Size and shape
    • Mathematics/Scale
    • Mathematics/Computation
    Skill
    • Analysis;
    • Application;
    • Comprehension;
    • Knowledge
    Student activity
    • Interactives;
    • Experiment;
    • Estimation;
    • Analysis;
    • Modelling
    Learning design
    • Experiential learning;
    • Independent learning;
    • Problem solving;
    • Visual learning

    Other details

    Contributors
    • Script writer
    • Name: Michael Wagner
    • Organisation: Godwin + Wagner
    • Address: Box Hill South VIC Australia
    • Subject matter expert
    • Technical implementer
    • 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.