Math and Science Tutoring Prompt: Methods, Units and Checks
Work through a problem with explicit steps and a final check. Ask for hints, identify missing assumptions and verify units before trusting the result.
Illustrative cover; not a verified result from this prompt.
Read the full prompt
Help me understand this [SUBJECT] problem at [LEVEL]: [PROBLEM]. First identify the given information, unknown quantity and necessary assumptions. Offer a hint before a full solution if requested. Show the method in clear steps with units and explain why each step is appropriate. Check the result by substitution or another suitable method. Flag missing information rather than inventing it. Provide a similar practice problem with its answer separated. Do not claim professorial credentials.
Ask for the method you need to learn
State your level and whether you want a hint or a worked solution. Include the complete problem, including a diagram's labels. A missing unit or condition can change the answer.
Example: solve a linear equation
Try “Solve 3x + 5 = 20. Explain how to keep both sides equal.” Subtracting 5 gives 3x = 15; dividing by 3 gives x = 5. Substitution checks the answer: 3 × 5 + 5 = 20.
For practice, change the equation to 4x + 2 = 18 and attempt it before revealing the answer. Ask why subtracting 2 from only one side would be invalid.
Check more than the final number
For a science calculation, track units and state any idealizations. For geometry, confirm that the diagram supports the assumed relationships. If two methods disagree, compare the first step where they diverge. A fluent explanation can still contain an arithmetic or reasoning mistake, so retain a check you can perform independently.