# Library-card guide

## Id

N27

## Original component

C-later-Q3

## Target criterion

Orders 260, 602, 620 using full values, with a place-value or correctly placed number-line check; units remain labels.

## New job title

Library-card guide

## Source

Fictional label quantities: Library-card guide. First card: 427 labels. Second card: 472 labels. Third card: 724 labels. All three count the same kind of label; these are supplied counts, not actual stock or money. Use the whole values to represent, compare or order them. Own responses remain open.

## Mathematical data

### Source

Fictional label quantities: Library-card guide. First card: 427 labels. Second card: 472 labels. Third card: 724 labels. All three count the same kind of label; these are supplied counts, not actual stock or money. Use the whole values to represent, compare or order them. Own responses remain open.

### Values

- 427

- 472

- 724

### Alternative first parts

Not supplied.

### Claim



### Models

- 427 = 4 hundreds + 2 tens + 7 ones = 400 + 20 + 7.

- 472 = 4 hundreds + 7 tens + 2 ones = 400 + 70 + 2.

- 724 = 7 hundreds + 2 tens + 4 ones = 700 + 20 + 4.

### Ordered

- 427

- 472

- 724

## Invitation

Order all three quantities from least to greatest and explain one checking reason.

## Teacher moves

Use all three whole quantities from Library-card guide, with labels as their common unit. Compare each pair from the highest differing place; place the least card first, the middle next and greatest last. Explain why the middle quantity is above one and below the other. A table or words can replace physical card moving.

## Worked possible response

Least to greatest: 427, 472, 724. 427 = 4 hundreds + 2 tens + 7 ones = 400 + 20 + 7. 472 = 4 hundreds + 7 tens + 2 ones = 400 + 70 + 2. 724 = 7 hundreds + 2 tens + 4 ones = 700 + 20 + 4.

## Guided source

Fictional label quantities: Library-card guide—new guided cards. First card: 546 labels. Second card: 564 labels. Third card: 654 labels. All three count the same kind of label; these are supplied counts, not actual stock or money. Use the whole values to represent, compare or order them. Own responses remain open.

## Guided data

### Source

Fictional label quantities: Library-card guide—new guided cards. First card: 546 labels. Second card: 564 labels. Third card: 654 labels. All three count the same kind of label; these are supplied counts, not actual stock or money. Use the whole values to represent, compare or order them. Own responses remain open.

### Values

- 546

- 564

- 654

### Alternative first parts

Not supplied.

### Claim



### Models

- 546 = 5 hundreds + 4 tens + 6 ones = 500 + 40 + 6.

- 564 = 5 hundreds + 6 tens + 4 ones = 500 + 60 + 4.

- 654 = 6 hundreds + 5 tens + 4 ones = 600 + 50 + 4.

### Ordered

- 546

- 564

- 654

## Guided invitation

Order all three quantities from least to greatest and explain one checking reason.

## Guided staff possible response

Least to greatest: 546, 564, 654. 546 = 5 hundreds + 4 tens + 6 ones = 500 + 40 + 6. 564 = 5 hundreds + 6 tens + 4 ones = 500 + 60 + 4. 654 = 6 hundreds + 5 tens + 4 ones = 600 + 50 + 4.

## 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

Orders all three full quantities correctly and explains the middle relation.

## 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.