AC9M6A02

Algebra > Equations

Australian Curriculum Version 9 Says:

Find unknown values in numerical equations involving brackets and combinations of arithmetic operations, using the properties of numbers and operations.

What this means

Tip

Apply the rule of order when performing calculations involving a mix of operations. The agreed order is as follows:

  • Calculations inside brackets are performed first.
  • Indices or powers are performed next e.g., 42
  • Multiplication and division are equally powerful operations performed left to right as they appear in a number sentence.
  • Calculate addition and subtraction from left to right. For example, to calculate 10 – 2 + 3 you subtract first. This makes 8 + 3 = 11. The most common error is calculating the 2 + 3 first, then incorrectly thinking the number sentence is 10 – 5, which it is not.
  • Caution: Students are often taught rules like BIMDAS, BOMDAS and PEDMAS, but some students think as a result that multiplication is given priority over division or addition is given priority over subtraction, neither of which is true.

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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.