# Art-kit index

## Id

N13

## Original component

D-first-Q1

## Target criterion

The full model [4, 10, 7] gives 507; ten of its tens replace one hundred without adding or losing value. A valid complete equivalent model is accepted.

## New job title

Art-kit index

## Source

Fictional label quantities: Art-kit index. First card: 614 labels. Second card: 641 labels. Third card: 416 labels. All three count the same kind of label; these are supplied counts, not actual stock or money. The supplied alternative first-card model is 5 hundreds, 11 tens and 4 ones. One hundred has the value of ten tens; one ten has the value of ten ones. Use the whole values to represent, compare or order them. Own responses remain open.

## Mathematical data

### Source

Fictional label quantities: Art-kit index. First card: 614 labels. Second card: 641 labels. Third card: 416 labels. All three count the same kind of label; these are supplied counts, not actual stock or money. The supplied alternative first-card model is 5 hundreds, 11 tens and 4 ones. One hundred has the value of ten tens; one ten has the value of ten ones. Use the whole values to represent, compare or order them. Own responses remain open.

### Values

- 614

- 641

- 416

### Alternative first parts

- 5

- 11

- 4

### Claim



### Models

- 614 = 6 hundreds + 1 ten + 4 ones = 600 + 10 + 4.

- 641 = 6 hundreds + 4 tens + 1 one = 600 + 40 + 1.

- 416 = 4 hundreds + 1 ten + 6 ones = 400 + 10 + 6.

### Ordered

- 416

- 614

- 641

## Invitation

Find the whole quantity in the complete alternative first-card grouping; show an equivalent standard grouping.

## Teacher moves

On separate work for Art-kit index, name one hundred as ten tens and one ten as ten ones. Unpack one hundred into ten tens in the whole alternative model; recount value rather than number of drawn symbols. Restore the standard grouping and verify the whole remains equal. Let the learner explain a different complete representation before recording help.

## Worked possible response

5 hundreds + 11 tens + 4 ones = 500 + 110 + 4 = 614; 614 = 6 hundreds + 1 ten + 4 ones = 600 + 10 + 4.

## Guided source

Fictional label quantities: Art-kit index—new guided cards. First card: 715 labels. Second card: 751 labels. Third card: 517 labels. All three count the same kind of label; these are supplied counts, not actual stock or money. The supplied alternative first-card model is 6 hundreds, 11 tens and 5 ones. One hundred has the value of ten tens; one ten has the value of ten ones. Use the whole values to represent, compare or order them. Own responses remain open.

## Guided data

### Source

Fictional label quantities: Art-kit index—new guided cards. First card: 715 labels. Second card: 751 labels. Third card: 517 labels. All three count the same kind of label; these are supplied counts, not actual stock or money. The supplied alternative first-card model is 6 hundreds, 11 tens and 5 ones. One hundred has the value of ten tens; one ten has the value of ten ones. Use the whole values to represent, compare or order them. Own responses remain open.

### Values

- 715

- 751

- 517

### Alternative first parts

- 6

- 11

- 5

### Claim



### Models

- 715 = 7 hundreds + 1 ten + 5 ones = 700 + 10 + 5.

- 751 = 7 hundreds + 5 tens + 1 one = 700 + 50 + 1.

- 517 = 5 hundreds + 1 ten + 7 ones = 500 + 10 + 7.

### Ordered

- 517

- 715

- 751

## Guided invitation

Find the whole quantity in the complete alternative first-card grouping; show an equivalent standard grouping.

## Guided staff possible response

6 hundreds + 11 tens + 5 ones = 600 + 110 + 5 = 715; 715 = 7 hundreds + 1 ten + 5 ones = 700 + 10 + 5.

## Receive own steps

- Read/hear the whole new source and name the actual requested job.

- Receive the learner’s own idea in their usual communication before the staff response.

- Teach the precise relationship using the separate complete model; name mathematical hints.

- Deliver the complete different guided source and invitation. Receive a fresh response before its staff possibility.

## Review criterion

Recovers the same whole from all non-standard groups and verifies an equivalent standard model.

## Observe and next

Record the exact relationship available in the response and the help, leaving absent evidence open. If it is missing, repeat that same relationship on a smaller complete source. If secure, change the scene/quantity or representation explicitly; do not infer annual mastery.

## Access

Point, speak, sign, AAC, tactile labels, large marks or exact child-directed scribing/moving. No speed, handwriting, robot, printing or public sharing criterion.

## Transfer limit

Different supplied complete new and guided contexts; no remembered original held source or real learner improvement is claimed.

## Grant

Original © NeuroForgeIO Pty Ltd 2026, SubjectNest, CC BY4.0.


