Above, Below, Over and Under
Area and Slope
To infinity and beyond

In this topic which eventually leads on to Calculus (in secondary), we get to grips with the concepts of above, below, over and under.

Much of calculus uses graphs so we need to understand the ideas of above and below the line on a graph, whether that line is straight or curved or indeed wavy.

We often think of above and below in terms of height, but it is a relative term and height is a comparative term. There is a slight subtlety here that will be understood with practise.

There is also a subtle difference with Over and Under, in that these terms can be used with measurements other than height: for example, speed, or rate of feeding (over-fed, under-fed). Exercises could get children to find out the uses of these words, getting them to explain what their findings mean.

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