Before you begin seeking the solution:
1) Be sure to understand the question and what answers you are seeking, re-reading is necessary.
2) Look for "hidden" questions.
3) Find the important information that the problem provides, and eliminate information that is not essential.
4) Supply any missing information. You may need to reaearch and analyze.
As you seek a solution, consider the strategies:
5) Look for patterns, relationships, connections, sequences, or causes and effects.
6) Use guess and check (also called trial and error). Choose a place to start, try a solution, and see if it works. If it does not try another solution.
7) Organize your facts and information in a list. Sometimes this exercise can show relationships that you might otherwise overlook.
8) Construct a table or chart. This is another way of identifying relationships.
9) Sketch or draw a model to help you visualize the problem.
10) Simplify the problem by breaking it down into manageable steps.
11) Look at the problem from different angles.
12) Estimate. Rounding numbers can make it easier to find a solution. Using whole numbers rather that fractions may help you to see operations more clearly.
13) Keep notes of attempted solutions. This will reduce the chances that you will repeat steps.
14) Periodically review notes and attempts at solutions. By re-checking what you have done, you might see somthing you overlooked.
15) Do not give up!! The persistent problem solver finds the solution.
When you believe you have found the answer:
16) Be certain that you used all necessary information.
17) Re-check your calculations.
18) Be sure your answer is logical.
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