# Hundreds and tens on a game label

## Id

N28

## Original component

C-later-Q4

## Target criterion

Rejects equal value from matching digit sets: 620 and 602 assign tens/ones different values and are unequal.

## New job title

Hundreds and tens on a game label

## Source

Fictional label quantities: Hundreds and tens on a game label. First card: 705 labels. Second card: 750 labels. Third card: 570 labels. All three count the same kind of label; these are supplied counts, not actual stock or money. A helper says: “705 and 750 have the same value because both use three digits.” Use the whole values to represent, compare or order them. Own responses remain open.

## Mathematical data

### Source

Fictional label quantities: Hundreds and tens on a game label. First card: 705 labels. Second card: 750 labels. Third card: 570 labels. All three count the same kind of label; these are supplied counts, not actual stock or money. A helper says: “705 and 750 have the same value because both use three digits.” Use the whole values to represent, compare or order them. Own responses remain open.

### Values

- 705

- 750

- 570

### Alternative first parts

Not supplied.

### Claim

705 and 750 have the same value because both use three digits.

### Models

- 705 = 7 hundreds + 0 tens + 5 ones = 700 + 0 + 5.

- 750 = 7 hundreds + 5 tens + 0 ones = 700 + 50 + 0.

- 570 = 5 hundreds + 7 tens + 0 ones = 500 + 70 + 0.

### Ordered

- 570

- 705

- 750

## Invitation

Check the actual supplied helper statement using whole place values; explain why that shortcut is or is not valid.

## Teacher moves

Read the actual helper claim in Hundreds and tens on a game label. Build the complete place values before deciding. Contrast digit length with whole numerical value; show which place differs and why the two actual quantities are unequal. Do not reward agreement with a teacher without the checking evidence.

## Worked possible response

Three-digit length alone does not establish equal quantity: 705 = 7 hundreds + 0 tens + 5 ones = 700 + 0 + 5. 750 = 7 hundreds + 5 tens + 0 ones = 700 + 50 + 0.

## Guided source

Fictional label quantities: Hundreds and tens on a game label—new guided cards. First card: 804 labels. Second card: 840 labels. Third card: 408 labels. All three count the same kind of label; these are supplied counts, not actual stock or money. A helper says: “804 and 840 have the same value because both use three digits.” Use the whole values to represent, compare or order them. Own responses remain open.

## Guided data

### Source

Fictional label quantities: Hundreds and tens on a game label—new guided cards. First card: 804 labels. Second card: 840 labels. Third card: 408 labels. All three count the same kind of label; these are supplied counts, not actual stock or money. A helper says: “804 and 840 have the same value because both use three digits.” Use the whole values to represent, compare or order them. Own responses remain open.

### Values

- 804

- 840

- 408

### Alternative first parts

Not supplied.

### Claim

804 and 840 have the same value because both use three digits.

### Models

- 804 = 8 hundreds + 0 tens + 4 ones = 800 + 0 + 4.

- 840 = 8 hundreds + 4 tens + 0 ones = 800 + 40 + 0.

- 408 = 4 hundreds + 0 tens + 8 ones = 400 + 0 + 8.

### Ordered

- 408

- 804

- 840

## Guided invitation

Check the actual supplied helper statement using whole place values; explain why that shortcut is or is not valid.

## Guided staff possible response

Three-digit length alone does not establish equal quantity: 804 = 8 hundreds + 0 tens + 4 ones = 800 + 0 + 4. 840 = 8 hundreds + 4 tens + 0 ones = 800 + 40 + 0.

## 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

Addresses the exact supplied helper statement with complete relevant place values and a supported conclusion.

## 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.


