Encourage students to move between the different representations and discuss what makes a particular representation more appropriate in a given situation. In many cases students see these different representations as unrelated and the connections are not made. Percentages are fractions where the denominator is 100. We write decimal fractions with a decimal point. So 1/2 can be interpreted as a number on the number line between 0 and 1 and also as an operator divide by 2.ĭecimals can also be described as fractions where the denominator is a power of 10. Pupils need to be confident and fluent with fractions as numbers on a number line as well as operators. The ratio p : q corresponds to the fraction p/ q Ratios are fractions which express how many times one number can be divided by another. It is important that students understand that ratios, fractions, decimals and percentages are all just ways of describing divisions of a whole number. Summarised below are some of the common challenges students may face and then there are some example activities and resources that you may wish to use. If they struggle with the numbers this can impact their understanding of the real thing that the number is representing. However, it can be easy to make assumptions about the confidence and fluency students have with number and this can become a barrier to their understanding. The use of number to quantify physical systems, processes and quantities runs across pretty much all of the three sciences and so the need to be confident with numbers and simple calculations is effectively a core skill in all subjects and most topics. Ratios, fractions, decimals and percentages
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