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Problem-Solving Strategy for Geometry Applications
When solving geometry word problems, the general formula-based strategy is enhanced by incorporating a visual element. The adapted seven-step process is:
- Read the problem and make sure all words and ideas are understood. Draw the figure and label it with the given information.
- Identify what you are looking for.
- Label the unknown by choosing a variable to represent it.
- Translate into an equation by writing the appropriate geometry formula and substituting the given values.
- Solve the equation using standard algebra techniques.
- Check the answer by substituting it back into the equation and confirming it makes sense in the context of the problem.
- Answer the question with a complete sentence.
The key adaptation for geometry is in Step 1: because these problems involve shapes, sketching a diagram and labeling it with known measurements and variables helps organize information visually. This makes it easier to select the correct formula and to see where each piece of given information fits before translating the situation into an equation.
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