AC9M5A01

Algebra > Multiplication and Division

Australian Curriculum Version 9 Says:

Recognise and explain the connection between multiplication and division as inverse operations and use this to develop families of number facts.

What this means

Teach Fact Families.

  • A Fact Family for 8 × 3 = 24, would be 3 × 8 = 24, 24 ÷ 3 = 8 and 24 ÷ 8 = 3.
    They are all part of the same family of facts.
  • Students who understand fractions should be encouraged to add two more members to the family 1/3 of 24 = 8 and 1/8 of 24 = 3
  • This will help develop understanding of inverse operations, that is, one operation undoes the other.
  • Extend to 80 × 3, 8 × 30 …
  • This is the last reference to multiplication facts (aka tables) and division facts.

Tip

  • Learning a fact in a family gets you three (later, five) facts free!

Click on image to Enlarge descriptor card.

Resources & Manipulatives

These Quick Curriculum Guides have been designed to take a look at the Australian Mathematics Curriculum (AC9), explain terminology and provide interpretations.

Narelle and I have used our professional judgement to put forward what is appropriate for students at this year level.

Authors: Dr Paul Swan & Narelle Rice
We would like to also thank Linda Marshall and David Dunstan for comments and assistance.

These documents serve as general advice only and do not take into account your specific needs and conditions. While best care has been taken in compiling these materials, mistakes may exist.
Australian Curriculum version 9 materials used under Creative Commons licence from ACARA. Readers should always refer back to the curriculum itself and the state-based curriculum that is relevant for you.

This document is copyright of A-Z Type (Dr Paul Swan). A copy of this document may be downloaded from www.drpaulswan.com.au.