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Comparing sets to 20

Problem pool

Core · Canonical TaskForm · Object-set compare choice · Choose One

Watch: Choose left set, right set, or same bridge for more/fewer/same. The shell keeps the complete question visible, reserves the canonical reply band, and reveals proof on the same task objects.

Misread: Child action: Choose left set, right set, or same bridge for more/fewer/same.

Curriculum: Mapped to Comparing sets to 20.

Given two visible groups with at most 20 objects each, decide which group has more, fewer, or the same amount using matching, counting, or grouping.

Surface

This skill appears in Object-set compare choice, Extra-object residue mark, Difference amount and relation choice, Object-pair proof builder, Conservation transform relation choice, Cross-representation relation match, Comparison proof-card choice, Common-start offset pair choice, Fixed-set ordinal value choice.

Task formats

Common-start offset pair choice

Common-start offset pair choice asks the player to compare two sequences or paths with a common start and choose the ordered pair of offsets satisfying the relation.

ActionCompare two sequences or paths with a common start and choose the ordered pair of offsets satisfying the relation.
CheckChoose the answer that matches the visible prompt.
UseSupport / Core / Transfer
ShowsCheck only
PresentationCompact / Standard / Extended

Practice focus

Number sense and place value

Comparison proof-card choice

Comparison proof-card choice asks the player to choose the proof card that correctly justifies a comparison.

ActionChoose the proof card that correctly justifies a comparison.
CheckChoose the answer that matches the visible prompt.
UseSupport / Core / Transfer
ShowsCheck only
PresentationCompact / Standard / Extended

Practice focus

Number sense and place value

Conservation transform relation choice

Conservation transform relation choice asks the player to inspect before/after transformation and choose relation/reason.

ActionInspect before/after transformation and choose relation/reason.
CheckChoose the answer that matches the visible prompt.
UseSupport / Core / Transfer
ShowsCheck only
PresentationCompact / Standard / Extended

Practice focus

Number sense and place value

Cross-representation relation match

Cross-representation relation match asks the player to match the same relation across representations.

ActionMatch the same relation across representations.
CheckComplete the cross-representation relation match action.
UseSupport / Core / Transfer
ShowsCheck only
PresentationCompact / Standard / Extended

Practice focus

Number sense and place value

Difference amount and relation choice

Difference amount and relation choice asks the player to choose a relation-and-amount chip, such as left has 3 more.

ActionChoose a relation-and-amount chip, such as left has 3 more.
CheckChoose the answer that matches the visible prompt.
UseSupport / Core / Transfer
ShowsCheck only
PresentationCompact / Standard / Extended

Practice focus

Number sense and place value

Extra-object residue mark

Extra-object residue mark asks the player to mark every unmatched extra object or tap same-zero bridge.

ActionMark every unmatched extra object or tap same-zero bridge.
CheckComplete the extra-object residue mark action.
UseSupport / Core / Transfer
ShowsCheck only
PresentationCompact / Standard / Extended

Practice focus

Number sense and place value

Fixed-set ordinal value choice

Fixed-set ordinal value choice asks the player to order the fixed numeral set by the declared relation and choose the value in the requested ordinal position.

ActionOrder the fixed numeral set by the declared relation and choose the value in the requested ordinal position.
CheckComplete the fixed-set ordinal value choice action.
UseSupport / Core / Transfer
ShowsCheck only
PresentationCompact / Standard / Extended

Practice focus

Number sense and place value

Object-pair proof builder

Object-pair proof builder asks the player to build one-to-one pairs, then choose relation.

ActionBuild one-to-one pairs, then choose relation.
CheckComplete the object-pair proof builder action.
UseSupport / Core / Transfer
ShowsCheck only
PresentationCompact / Standard / Extended

Practice focus

Number sense and place value

Object-set compare choice

Object-set compare choice asks the player to choose left set, right set, or same bridge for more/fewer/same.

ActionChoose left set, right set, or same bridge for more/fewer/same.
CheckChoose the answer that matches the visible prompt.
UseSupport / Core / Transfer / Challenge
ShowsIndependent solve / Supported solve / Challenge ready
PresentationCompact / Standard / Extended

Practice focus

Number sense and place value

Selection

Fresh independent work can move toward Core, Transfer, or Challenge routes; help use or confusion keeps support visible.

Help

Hints keep attention on the visible structure; reveals show the path without counting as independent evidence.

Presentation

Presentation can reduce reading and interaction load without changing the selected skill. Practice focus can bias compatible work without breaking prerequisites or story fit.

Story fit

  • episodes where compare visible object sets to 20, identify exact visible difference, prove relation by pairing, and preserve relation under conservation lures.
  • episodes where preserve the same quantity relation across visible sets, numerals, symbols, number lines, bounds, and proof cards.
  • Contexts that preserve the canonical mathematical action without changing the response or answer rule.