Represent the problem before choosing a formula
List given information, the required result and relevant constraints. Draw a diagram or define variables when useful. State units and assumptions before substitution. If you cannot explain what the symbols represent in this scenario, return to the concept rather than copying the worked example's algebra.
Attempt a route and inspect the first failure
Work independently before checking a solution. Compare the first meaningful divergence: wrong representation, unsuitable method, invalid transformation or arithmetic slip. Repair that category specifically. A beautifully rewritten full solution can conceal that you still cannot choose the starting method on your own.
Change the surface features
Try another problem with different wording, data or an altered constraint. Explain whether the original method still applies. Once basic execution is reliable, mix related problem types so you must select the approach. Keep timed work separate from initial learning when speed would prevent you understanding the steps.
Worked example
A rate problem gives minutes but the student uses a per-hour quantity unchanged. Reviewing only the final number hides the issue. The error record names unit consistency, writes the conversion explicitly and adds a new problem with different units. Later, a changing-rate example checks whether the student also recognizes when the constant-rate method is inappropriate.
Before you finish
- Knowns, unknowns and assumptions are explicit.
- Review identifies the first incorrect decision.
- A changed problem tests method selection as well as arithmetic.