1. Each of the following mathematical symbols represents an English word, which in turn represents a physical object. Fill in the blanks appropriately:

1a. The mathematical symbol L represents ____________(English word), and this represents _________________(physical object).

1b. The mathematical symbol g represents ____________(English word), and this represents _________________(physical object).

1c. The mathematical symbol m represents ____________(English word), and this represents _________________(physical object).

1d. The mathematical symbol / represents ____________(English word), and this represents _________________(a mathematical operation).

1e. Translate the mathematical statement: "1 mg/L" into English words. (Hint, use your answer to the above to assist you.)

2. Question 1 above suggests that some mathematical symbols are simply ______________ of English words. (Fill in the blank.)
Answer: models or surrogates or substitutes

3. In class we discussed how mathematics is a language, in the same way that English and Spanish are languages.

3a. Provide examples of (i) a rule that governs how mathematical symbols can and cannot be combined, and (ii) a grammatical or syntax rule governing how symbols in the English language can and cannot be combined. (one paragraph answer)

3b. Question 1 above suggests that not only are math and English languages, but so is the real physical world! For the real physical world and its "language," provide an example of a "symbol" and a "rule" for combining these symbols. (one paragraph answer)
Hint: Be creative. We did not talk about this in class. But we did talk about chemical elements, and the ways in which they can and cannot be combined.