AXIOKids

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

Children may meet this skill through task formats such as 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.

Task formats

Comparison proof-card choice

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

Child actionChoose the proof card that correctly justifies a comparison.
CheckChoose the answer that matches the visible prompt.
UseSupport / Core / Transfer
ShowsCheck only
Age6-7 / 8-9 / 10-11

Practice focus

Number sense and place value

Conservation transform relation choice

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

Child actionInspect before/after transformation and choose relation/reason.
CheckChoose the answer that matches the visible prompt.
UseSupport / Core / Transfer
ShowsCheck only
Age6-7 / 8-9 / 10-11

Practice focus

Number sense and place value

Cross-representation relation match

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

Child actionMatch the same relation across representations.
CheckComplete the cross-representation relation match action.
UseSupport / Core / Transfer
ShowsCheck only
Age6-7 / 8-9 / 10-11

Practice focus

Number sense and place value

Difference amount and relation choice

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

Child 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
Age6-7 / 8-9 / 10-11

Practice focus

Number sense and place value

Extra-object residue mark

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

Child actionMark every unmatched extra object or tap same-zero bridge.
CheckComplete the extra-object residue mark action.
UseSupport / Core / Transfer
ShowsCheck only
Age6-7 / 8-9 / 10-11

Practice focus

Number sense and place value

Object-pair proof builder

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

Child actionBuild one-to-one pairs, then choose relation.
CheckComplete the object-pair proof builder action.
UseSupport / Core / Transfer
ShowsCheck only
Age6-7 / 8-9 / 10-11

Practice focus

Number sense and place value

Object-set compare choice

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

Child 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
Age6-7 / 8-9 / 10-11

Practice focus

Number sense and place value

Selection

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

Help

Hints keep the child oriented to the visible structure; reveals show the path without counting as independent evidence.

Age

Age changes presentation, reading load, and dignity of the screen. 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.