AC9M6N08

Number > Estimation

Australian Curriculum Version 9 Says:

Approximate numerical solutions to problems involving rational numbers and percentages, including financial contexts, using appropriate estimation strategies.

What this means

Estimating with fractions and percentages.

  • A rational number can be expressed as a fraction. The numerator and denominator have to be integers. The denominator cannot be zero. Examples of rational numbers include:
    3/1,  2 1/4 = 9/4,  3.7 = 37/10
  • An example would be estimating 27% of 325 by thinking 27% is close to 25% (or ). 320 divided by 4 is 80, so an estimate of 80 or 81 is appropriate.

Tip

  • Teach calculating benchmark percentages such as 10% of and 50% of, which can then be used to form estimates.

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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.