When we study practice problems, our overall goal is to master the problem we’re working on right now. What does mastery mean? It means that, when we see a future different practice problem that tests the same thing as this current practice problem, we will realize that the future problem has certain things in common with this current problem, and we will know what steps to take as a result—we will, literally, recognize what to do on the future different practice problem, a problem we’ve never actually seen before.

It’s necessary to get to this level of mastery because the problems we study will never be the actual problems we’re expected to do on the test. But we will see similar problems—problems that have something in common with problems that we’ve already studied. If we can recognize what to do, then we will be faster (which is always important on this test), and we will be more effective—we’ll be more likely to get it right because we’ll know that the method we’re using actually worked the last time we saw a similar practice problem.

This mastery we’re talking about—the ability to recognize what to do on a new, different-but-similar problem—comes from the analysis we do after we’ve already finished trying a new practice problem for the first time. So how do we do that?

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