Recognize proportional relationships as distinct from non-proportional relationships in real-world contexts.

A between ratio is a ratio of two corresponding measures in different situations. For example, the ratio of the original number of mangos (5) to the number of mangos in a second situation (10) is a between ratio; that is, it is between the two situations.

As students explain, make explicit connections between finding the difference and additive reasoning and between using the ratio and multiplicative reasoning. If no one suggests one of the options, introduce it. For example, say, “Why might someone say . . .?” For multilingual students, support language by connecting additive to the word add, and multiplicative to multiple and multiply.