Smart Math guide · Problem Solving

Draw a Diagram

A labeled sketch can reveal relationships that are hidden in words.

All levelsWorked example includedSelf-check included
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The method

How to use it

  1. Sketch only the relevant objects.
  2. Label known values and unknowns.
  3. Mark equalities, right angles, directions, or units.
Worked example

See it in action

A ladder problem becomes a right triangle once wall, ground, and ladder are drawn.

Check your thinking

How to verify it

The diagram should agree with every statement in the problem.

Keep learning

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Work Backward

When the final result is known and operations are reversible, undo them in reverse order.

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