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Problem Solving Strategies

  • Check your understanding/Look up new vocabulary
  • Calculate as you go; don't always worry about how to solve the whole problem
  • Estimate
  • Act it out
  • Systematic guessing and checking
  • Solve a simpler problem
  • Divide into cases (solve it for specific situations)
  • Consider extreme cases
  • Draw a picture/diagram
  • Make a list/table/chart
  • Label, assign variables, formulate expressions and equations
  • Look for a pattern
  • Work backwards
  • Use logical reasoning (e.g. show the opposite can't be true)
  • Make a model
  • Take advantage of symmetry
  • Set up an equation
  • Use odd/even to analyze the situation (parity)
General approaches:
  • Share your work with others; compare approaches
  • Ask questions
  • Write out what you know and what you don't know
  • Identify your assumptions
  • Take a break and work on something else. Come back to it later

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