Multiply One Digit by Multi Digit Algorithm variation ladder
Difficulty grows by changing representation, numeric range, constraint count, distractors, language load, and transfer context while keeping the presentation mobile-legible.
Variation ladder
1Foundation recognitionAsk for the simplest observable decision behind this task.
2Guided strategyAsk the learner to use a scaffolded model before making the final decision.
3Core taskAsk the learner to solve the target task directly.
4Transfer formAsk the same mathematical idea through a shifted representation or context.
5Challenge extensionAsk for an extra reasoning step or explanation after the core answer.
6Advanced enrichmentAsk for a concept-level extension inspired by enrichment sources, rewritten as native content.
Method
Restate what must be decided without adding a new method.
Nudge against the common slip: Carry added to wrong column.
Reveal one useful scaffold only after the learner asks for more help.