Algebra II

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Guidelines for Writing a Mathematical Answer

When you solve a multi-step math problem, it is not enough to just get the right answer. You also need to be able to clearly communicate the steps involved in finding the correct answer. The explanation of your problem-solving strategies should answer the “how” question. Writing a mathematical answer to a math problem is different than other types of writing. There are a number of items to consider when you write a math answer.

Readability is important. An answer in one long continuous paragraph with equations embedded in it can be difficult to read and understand. To improve the readability of your answer, break a long paragraph up into several short paragraphs, each one with its own concept, and leave a blank line between the paragraphs.

It is important when you answer a math problem to get off to a good start. After carefully reading a problem, it is essential to determine just what you need to find that answers the question asked. You should begin by selecting a letter, or letters, (variables) that will represent your unknown quantity, or quantities. This becomes your “Let” statement. Be careful when you write your “Let” statement that it clearly states your unknown quantity. For example, a good “Let” statement is: Let x = the number of apples in the basket. A bad “Let” statement in this case would be: Let x = apples. In the latter case it’s not clear if you’re counting apples or weighing pounds of apples.

The discussion of your problem-solving strategies should show that you interpreted the problem correctly, that is, that you understood what the problem was asking, and that you attempted to solve all of the parts of the problem. Include an explanation of how you applied the strategy and why you picked that particular strategy. You can sometimes show that there are multiple ways to solve the problem. Be sure that your calculations are accurate and your details are correct.

Your solution should be complete, and you should explain all the steps taken to solve the problem. Explain the steps in such a way that a fellow student would understand. Pay attention to formatting, vocabulary, and spelling. Include a reflection that shows that you checked your answer, reflects on its reasonableness, summarizes the process, and connects it to other knowledge, experience, and applications.