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# The number partner

TLF ID L103

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

2

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

#### Other details

Contributors
• Technical implementer
• Subject matter expert
• 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: x - maximum version: 7
Rights
• © Education Services Australia Ltd, 2013, except where indicated under Acknowledgements.