Combinatorics Tree Diagram

Combinatorics Tree Diagram practice with teacher guidance, common slips, and next-step routes.

Core · Combinatorics Tree Diagram · Independent practice · Evidence Proof

Build one tree showing every sticker design exactly once. Use one choice group at each level and keep the same group order throughout.

Choose one value from each group. Every combination is allowed.

Shape: Circle · Square · Triangle
Inside symbol: Star · Leaf
Border style: Solid · Dashed

Choose the next choice group

Start

Choose a group above to add the first branches.

0 of 3 levels built

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Print: Ages 8–9 · 7–11 min · Core · Complete choice tree · Independent practice · Construct a full tree

Watch: Watch whether the learner repeats the full next choice set below every partial path. Decisive evidence is one rooted tree with the same category at each depth and 12 distinct complete paths.

Misread: A learner may treat the task as finding only the total, or may add one branch per group instead of repeating choices under every prefix. A bare 12, a flat list, or a tree with missing or repeated paths does not answer the construction.

Curriculum: This task develops systematic enumeration of a Cartesian product with a tree diagram. It scores construction of an exhaustive, non-duplicated case structure and justification through branch completeness, not the sticker context.