N32 · Zero in a maker-card model
Id
N32
Original component
D-later-Q4
Target criterion
Rejects the actual helper claim and recovers 508 from all stated groups; the numeral/model place values, including the zero, support the explanation.
New job title
Zero in a maker-card model
Source
Fictional label quantities: Zero in a maker-card model. First card: 706 labels. Second card: 760 labels. Third card: 670 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, 10 tens and 6 ones. One hundred has the value of ten tens; one ten has the value of ten ones. A helper says: “706 means 7 hundreds and 6 tens.” Use the whole values to represent, compare or order them. Own responses remain open.
Mathematical data
Source
Fictional label quantities: Zero in a maker-card model. First card: 706 labels. Second card: 760 labels. Third card: 670 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, 10 tens and 6 ones. One hundred has the value of ten tens; one ten has the value of ten ones. A helper says: “706 means 7 hundreds and 6 tens.” Use the whole values to represent, compare or order them. Own responses remain open.
Values
706
760
670
Alternative first parts
6
10
6
Claim
706 means 7 hundreds and 6 tens.
Models
706 = 7 hundreds + 0 tens + 6 ones = 700 + 0 + 6.
760 = 7 hundreds + 6 tens + 0 ones = 700 + 60 + 0.
670 = 6 hundreds + 7 tens + 0 ones = 600 + 70 + 0.
Ordered
670
706
760
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 Zero in a maker-card model. Build the complete place values before deciding. Keep the zero place labelled and distinguish tens from ones. Write the value of the claimed model alongside the actual first quantity, so the changed place value is explicit. Do not reward agreement with a teacher without the checking evidence.
Worked possible response
The first numeral 706 has 7 hundreds, 0 tens, 6 ones. 706 = 7 hundreds + 0 tens + 6 ones = 700 + 0 + 6. The claimed 7 hundreds and 6 tens would instead total 760; it changes the place/value of the ones.
Guided source
Fictional label quantities: Zero in a maker-card model—new guided cards. First card: 904 labels. Second card: 940 labels. Third card: 490 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 8 hundreds, 10 tens and 4 ones. One hundred has the value of ten tens; one ten has the value of ten ones. A helper says: “904 means 9 hundreds and 4 tens.” Use the whole values to represent, compare or order them. Own responses remain open.
Guided data
Source
Fictional label quantities: Zero in a maker-card model—new guided cards. First card: 904 labels. Second card: 940 labels. Third card: 490 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 8 hundreds, 10 tens and 4 ones. One hundred has the value of ten tens; one ten has the value of ten ones. A helper says: “904 means 9 hundreds and 4 tens.” Use the whole values to represent, compare or order them. Own responses remain open.
Values
904
940
490
Alternative first parts
8
10
4
Claim
904 means 9 hundreds and 4 tens.
Models
904 = 9 hundreds + 0 tens + 4 ones = 900 + 0 + 4.
940 = 9 hundreds + 4 tens + 0 ones = 900 + 40 + 0.
490 = 4 hundreds + 9 tens + 0 ones = 400 + 90 + 0.
Ordered
490
904
940
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
The first numeral 904 has 9 hundreds, 0 tens, 4 ones. 904 = 9 hundreds + 0 tens + 4 ones = 900 + 0 + 4. The claimed 9 hundreds and 4 tens would instead total 940; it changes the place/value of the ones.
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.