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- 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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