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The Purplemath lessons have been written so that they may be studied in whatever manner the student finds most useful. Different textbooks cover different topics in different orders. The Purplemath lessons try not to assume any fixed ordering of topics, so that any student, regardless of the textbook being, may benefit.
While the structure of the Purplemath lessons lends itself to many topical orderings, the following is one possible lesson sequence. To do your self-study, follow this sequence by working down the left-hand column, then the middle column, and finally the right-hand column of each section, proceeding through the sections from the top of the page to the bottom.
Translation: How to translate word problems from English into math
Slope and y-intercept
(and their meaning in word problems)
Formatting Math as Text
(how to type math when e-mailing or posting questions on tutoring forums)