One is one... or is it?

07.04.2020

One bag of apples, one apple, one slice of apple -- which of these is one unit? Explore the basic unit of math (explained by a trip to the grocery store!) and discover the many meanings of one.

Answer the following questions:

  1. The speaker claims that composed units are more commonly a standard size than partitioned units are. Do you agree? Brainstorm a list of composed units and a list of partitioned units. For which units do you know the standard size?

  2. The speaker offers a dozen eggs as a clear example of a composed unit and a slice of bread as a clear example of partitioned unit. Things are not always so clear, however. Is an inch a partitioned unit obtained from a foot, or is a foot a composed unit obtained from an inch? What other examples can you think of where we can argue over the original unit?

  3. Our number system is called a place value system because the value of a digit depends on its place in the number. The speaker in the video used the example of 1; sometimes it means one thing, sometimes it means one group of things, etc. In Roman numerals, there is a separate symbol for ten. I means one, but X means ten. You may know that XI means eleven, while IX means 9. Should we call Roman numerals a place value system? Discuss.

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