Smart Math guide · Problem Solving

Switch Representations

A problem may become easier when moved among words, equations, tables, graphs, diagrams, and number lines.

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The method

How to use it

  1. Represent the same relationship a second way.
  2. Compare what each view makes obvious.
  3. Solve in the clearest representation and verify in another.
Worked example

See it in action

A constant rate can be seen as a ratio, a table, a straight graph, or y=mx.

Check your thinking

How to verify it

The rate should agree in every representation.

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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