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Learning objects The number partner


Explore how to break up numbers into pairs of smaller numbers such as 15 = 9 + 6. Work through examples of whole number pairs and sample questions. Apply these principles to solve additions or subtractions. Use a partitioning tool to break up numbers under 30. Recognise number patterns; use the strategy of counting on.

Educational details

Key learning objectives
  • Students use a linear model to create number pairs of numbers between 10 and 30.
  • Students establish that larger numbers can be broken up into many pairs of smaller numbers.
  • Students investigate the commutative principle.
  • Students investigate the strategy of ‘counting on’ for addition and establish that it is preferable to count on from the larger number.
Educational value
  • Provides opportunities to find component pairs for two-digit numbers less than 30.
  • Uses a linear partitioning tool to compare counting on from smaller and larger numbers.
  • Enables students to ‘show pairs’ to track progress for each sum.
  • Provides visual support for counting on strategies.
  • Encourages repeated use by incorporating student-generated problems.
  • Provides an option to print a worksheet for each completed equation, containing the working out.
Year level


Learning area
  • mathematics
  • Mathematics/Number and algebra
    • Mathematics/Number patterns
    • Mathematics/Number relationships
    • Mathematics/Whole numbers
    • Mathematics/Counting strategies
    • Mathematics/Addition
    • Mathematics/Subtraction
    • Mathematics/Mental arithmetic
    • Mathematics/Algorithms
    • Analysis;
    • Application;
    • Comprehension;
    • Knowledge
    Student activity
    • Interactives;
    • Analysis;
    • Experiment;
    • Modelling
    Learning design
    • Independent learning;
    • Experiential learning;
    • Problem solving;
    • Visual learning

    Other details

    • Technical implementer
    • Subject matter expert
    • Publisher
    • Date of contribution: 20 Sep 2013
    • Organisation: Education Services Australia
    • Address: Melbourne VIC 3000 Australia
    • URL:
    Access profile
    • Colour independence
    • Device independence
    • Hearing independence
    Learning resource type
    • Interactive Resource
    • 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: x - maximum version: 7
    • © Education Services Australia Ltd, 2013, except where indicated under Acknowledgements.