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Some time ago the CM Define It app featured the word volume. When you think of volume, what other mathematical words spring to mind? What do you immediately connect with it? What other key terms do you think will be connected to this word?
We’ve used the CM Framework to generate the following visualisation to help with these questions.
Figure 1. All the glossary entries in the CM Framework that are connected to the word volume. Two words are connected if they both occur as glossary links in the text of the same waypoint (piece of mathematical content), with the strength of the connection being the number of waypoints where this happens.
Does this match the words you thought about? Are there any surprises? Is anything missing? Send us your thoughts on Twitter @CambridgeMaths.
As an additional challenge, can you see how each word might be connected to volume? A very interesting connection is between volume and the term inverse. How could they be linked?
The connection in the Framework is mediated by the Exploring cubic units of volume waypoint and relates to volume via “What”, which states: “Explore the structure of cubic units of volume and how smaller units can be used to compose the larger.” As can be seen in Figure 2, inverse is related to volume via one of the sections under “Why”, which states: “To begin to recognise a (non-linear) inverse proportion relationship; the smaller the unit the more of them.”
Figure 2. A snapshot of the connection between the terms volume and inverse through the Exploring cubic units of volume waypoint, including the underlying explanation for how this waypoint mediates the connection between the key terms.
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