Revisiting percentages

In week two we saw that a number can be expressed as a fraction, as a decimal and as a percentage.

Here is a recap of some of the most common equivalences.

Equivalences for one quarter (as 0.25 or 25%), one half (as 0.5 or 50%), three quarters (as 0.75 or 75%), one third (as 0.3 recurring, or 33 and a third %), two thirds (as 0.6 recurring, or 66 and two thirds %), one eighth (as 0.125 or 12.5%), three eighths (0.375 or  37.5%), five eighths (as 0.625 or 62.5%), seven eights (as 0.875 or 87.5%)

We are familiar with the fact that a half of 30 is 15. It is important that students appreciate that this means that 30 multiplied by 0.5 is equal to 15 and that 50% of 30 is equal to 15. In each case we are saying the same thing in a different way.

Students will be expected to be able to calculate a percentage of an amount.

In the next step we explore methods to find a percentage of an amount which develop mathematical understanding in addition to procedural fluency.

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This article is from the free online course:

Maths Subject Knowledge: Fractions, Decimals, and Percentages

National STEM Learning Centre