Repeating patterns
Identify the repeating unit in a visual or symbolic pattern and extend it to the next needed positions.
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Print: Ages 10–11 · 3–5 min · Challenge · Periodic States · Independent Practice · Complete State Reasoning
Watch: Watch whether the learner keeps the two cycles aligned from jump 1 and selects one value from each row. A correct pair in the required order, without using a revealed step, is the decisive evidence.
Misread: A learner may treat jump 34 as 34 moves after the first jump, use only one cycle’s period, or reverse the pair. Separate an indexing or common-cycle error from an answer-order error by checking whether the chosen length and pose are individually correct.
Curriculum: This task coordinates two independent repeating sequences with periods 4 and 3 and evaluates their joint state at a one-based index. It scores common-cycle/remainder reasoning and preservation of ordered-pair coordinate order.