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# 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.