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• Describing Magnitudes
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# Describing Magnitudes

## Describing Magnitudes

1. Comparing Discrete Quantities - Students compare amounts of tokens and unknown amounts of discrete quantities. In both cases they are guided to adopt line segments to represent discrete amounts and the differences between them. They are also asked to discuss composition of measures: "the difference plus the smaller amount is equal to the larger amount" and, "the larger amount minus the difference is equal to the smaller amount".
2. Comparing Heights I - Students compare the heights of two children, measure, compare, and represent one's own height in relation to a peer's height, and focus on the differences between heights.
3. Comparisons - Comparisons and comparison operators: =, ≠, <, >.
4. Comparisons and Attributes - Work with comparisons and comparison operators (=, ≠, <, >).
5. Heights as Functions - In this class children will work on the functional representation of two unknown heights and on the composition of the shorter height plus the difference between the heights as equal to the second height.
6. Three Heights - In this class we will explore: (a) How the children deal with comparisons, (b) How they draw inferences from comparisons, and (c) How they represent comparisons between three unknown amounts.