Learning objects Arrays: factor families

TLF ID L2059

Make equal rows and columns to explore how numbers can be broken up into factors. For example, the number 24 can be expressed as 12x2 or 2x12, and therefore, it can be divided equally using its factors 12 and 2. Identify a missing factor to complete a factor family. Solve four expressions: two multiplication and two division statements. This learning object is one in a series of five objects.



Educational details

Key learning objectives
  • Students identify factors of numbers.
  • Students demonstrate the relationship between multiplication and division.
  • Students apply the commutative property of multiplication.
  • Students use formal equations to record multiplication and division operations.
Educational value
  • Helps students to develop and consolidate knowledge of basic number facts that underlie effective multiplicative thinking.
  • Demonstrates how numbers can be broken into factors.
  • Provides opportunities to consider and record the relationship between multiplication and division.
  • Automatically constructs arrays to provide a visual model supporting understanding of the multiplicative relationship between factors.
Year level

4; 5

Learning area
  • mathematics
Strand
  • Mathematics/Number and algebra
    Concept
    • Mathematics/Multiples
    • Mathematics/Multiplication
    • Mathematics/Factors
    • Mathematics/Guess-Check-Improve
    • Mathematics/Arithmetic
    • Mathematics/Division
    Skill
    • Knowledge;
    • Comprehension;
    • Application
    Student activity
    • Interactives;
    • Analysis;
    • Modelling
    Learning design
    • Experiential learning;
    • Independent learning;
    • Problem solving;
    • Visual learning

    Other details

    Contributors
    • Script writer
    • Name: Erica Dale
    • Organisation: Tungaroo Software
    • Address: Manly NSW 2095 Australia
    • Educational validator
    • Subject matter expert
    • Name: Jenni Way
    • Address: Springwood NSW 2777 Australia
    • Technical implementer
    • 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.