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■  Using graphing calculators to save formulas that were supposed to have been
                                      memorized
                                    ■  With an Internet connection, finding answers on crowd-sourcing sites such as
                                      Quora
                                    ■  Sharing answers on private all-student groups connected to learning manage-
                                      ment systems
                                      Because  this  type  of  cheating  can  be  difficult  to  discover  when  exams  are
                                   administered in large lecture halls, some instructors ban all electronic devices from
                                   the room.
                                      Valid concerns can put students under pressure: “I have to do well on the final.
                                   I am in a time crunch. I need a good grade to qualify for the next course in my
                                   major. I can’t fail because I’m already in debt and I have to graduate and get a job.”
                                   Compounded, these worries can often drive students to thoughts of academic dis-
                                   honesty. However, feeling the drive to cheat generally means you haven’t learned
                                   the material. Ask yourself: Am I in college to learn information that I can use? Or to
                                   cheat my way to a decent GPA and breathe a sigh of relief when the term is done?
                                   Retention  of  knowledge  is  necessary  both  to  complete  future  coursework  and
                                   to thrive in jobs that require you to use it. Only one course of action will earn you
                                   that reward.






                                       KEY      8.4    Try these techniques to succeed on
                                                       math exams.




                                               Read through the exam first. When you receive an exam, read through every
                                               problem quickly and make notes on how you might attempt to solve the problems.
                                               Analyze problems carefully. Categorize problems according to type. Take the
                                               “givens” into account, and write down any formulas, theorems, or definitions that
      8                                        apply. Focus on what you want to find or prove.
      CHAPTER                                  the solution against your estimate. The two answers should be close. If they’re not,
                                               Estimate to come up with a “ballpark” solution. Then work the problem and check

                                               recheck your calculations.
                                               Break the calculation into the smallest possible pieces. Go step-by-step and don’t
                                               move on to the next step until you are clear about what you’ve done so far.
                                               Recall how you solved similar problems. Past experience can provide valuable clues.
                                               Draw a picture to help you see the problem. Visual images such as a diagram,
                                               chart, probability tree, or geometric figure may help clarify your thinking.
                                               Be neat. Sloppy numbers can mean the difference between a right and a wrong
                                               answer. A 4 that looks like a 9 will be marked wrong.
                                               Use the opposite operation to check your work. Work backward from your answer
                                               to see if you are right.
                                               Look back at the question to be sure you did everything. Did you answer every
                                               part of the question? Did you show all required work?











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