Access and help
Read or sign the exact source and prompts neutrally, enlarge them, or scribe the learner’s chosen words. A figure, operation, regrouping, equation role or check supplied by an adult is mathematical help and is recorded as such. Show, draw, type, sign or use usual communication. One component can be enough; pause/pass/finish are choices. Four own spaces are genuinely empty. Models, criteria and next lessons stay on separate staff pages.
Components
Criterion
148+153 dollars is total cost compared with 300 dollars; roles and units agree.
Id
C-later-Q1
Next ordinary teaching
Access
Read or sign the exact source and prompts neutrally, enlarge them, or scribe the learner’s chosen words. A figure, operation, regrouping, equation role or check supplied by an adult is mathematical help and is recorded as such. Show, draw, type, sign or use usual communication. One component can be enough; pause/pass/finish are choices. Four own spaces are genuinely empty. Models, criteria and next lessons stay on separate staff pages.
Complete different guided source
A pretend AUD budget $300 has costs $147 and $128.
Complete new source
A fictional AUD budget $250 has invented costs $126 and $98.
Complete own invitation
An invented AUD budget $400 has costs $186 and $195.
Entry and teach
Teach dollars as a single unit; no cents or real spending needed.
Guided instruction
275 cost, 25 left. Invite each relationship before the answer; teach missing facts and name help.
Id
NEXT21
Materials
Broad paper/empty bar or line/place-value headings as useful; usual communication; no actual stock/handling/purchase.
Observe and follow up
Receive one available own relationship before staff possibility. If it matches criterion, offer another small new context later; this is not automatic mastery. If not, return to the entry relationship and fade one hint. Record the actual mathematical help. If access/time is not available, change access or sitting rather than marking wrong.
Relationship to check
Teach the observed missing relationship in a new ordinary domain; not an answer repetition or further held item.
Session sequence
-
Read the new source and name units/wanted quantity. Teach dollars as a single unit; no cents or real spending needed.
-
Model on separate adult paper. Cost 126+98=224 dollars; compare 224≤250.
-
Guide a different complete source. A pretend AUD budget $300 has costs $147 and $128. 275 cost, 25 left.
-
Receive one own attempt. An invented AUD budget $400 has costs $186 and $195. Staff reference only: 381 cost, 19 left.
-
Compare available work with: Additive cost model and budget constraint have consistent dollar roles. Choose one follow-up offer; never infer independence from a copied model.
What to look for
Additive cost model and budget constraint have consistent dollar roles.
Staff own possibility
381 cost, 19 left.
Teacher model
Cost 126+98=224 dollars; compare 224≤250.
Timing
An adjustable 10–20 minute ordinary lesson, unpiloted; split/stop after one useful part.
Title
Whole-dollar model
Own initial value
Prompt
Write a model for the combined cost and its comparison with the budget.
After own work: adult practice possibility
Cost $148+$153; compare with $300. No pack multiplication or cents are supplied.
Criterion
About $150+$150≈$300 is a scale check, not the exact cost or an affordability proof.
Id
C-later-Q2
Next ordinary teaching
Access
Read or sign the exact source and prompts neutrally, enlarge them, or scribe the learner’s chosen words. A figure, operation, regrouping, equation role or check supplied by an adult is mathematical help and is recorded as such. Show, draw, type, sign or use usual communication. One component can be enough; pause/pass/finish are choices. Four own spaces are genuinely empty. Models, criteria and next lessons stay on separate staff pages.
Complete different guided source
A pretend AUD plan costs $247 and $138, budget $390.
Complete new source
A fictional AUD plan has costs $176 and $158, budget $340.
Complete own invitation
An invented AUD plan costs $298 and $207, budget $500.
Entry and teach
Place 176 between 170/180 and 158 between 150/160; round nearest ten.
Guided instruction
About 250+140≈390; exact 385, 5 left. Invite each relationship before the answer; teach missing facts and name help.
Id
NEXT22
Materials
Broad paper/empty bar or line/place-value headings as useful; usual communication; no actual stock/handling/purchase.
Observe and follow up
Receive one available own relationship before staff possibility. If it matches criterion, offer another small new context later; this is not automatic mastery. If not, return to the entry relationship and fade one hint. Record the actual mathematical help. If access/time is not available, change access or sitting rather than marking wrong.
Relationship to check
Teach the observed missing relationship in a new ordinary domain; not an answer repetition or further held item.
Session sequence
-
Read the new source and name units/wanted quantity. Place 176 between 170/180 and 158 between 150/160; round nearest ten.
-
Model on separate adult paper. About 180+160≈340 checks scale; exact 334 must settle a fit.
-
Guide a different complete source. A pretend AUD plan costs $247 and $138, budget $390. About 250+140≈390; exact 385, 5 left.
-
Receive one own attempt. An invented AUD plan costs $298 and $207, budget $500. Staff reference only: About 300+210≈510; exact 505, 5 over.
-
Compare available work with: Nearest-ten values and approximation limitation are stated, not called exact cost. Choose one follow-up offer; never infer independence from a copied model.
What to look for
Nearest-ten values and approximation limitation are stated, not called exact cost.
Staff own possibility
About 300+210≈510; exact 505, 5 over.
Teacher model
About 180+160≈340 checks scale; exact 334 must settle a fit.
Timing
An adjustable 10–20 minute ordinary lesson, unpiloted; split/stop after one useful part.
Title
A purpose for rounding
Own initial value
Prompt
Give a nearest-ten estimate and state its purpose.
After own work: adult practice possibility
Using nearest-ten rounding gives about $300. This estimate cannot settle a tight decision against $300.
Criterion
Exact $301 exceeds $300 by $1, so this stated plan does not fit.
Id
C-later-Q3
Next ordinary teaching
Access
Read or sign the exact source and prompts neutrally, enlarge them, or scribe the learner’s chosen words. A figure, operation, regrouping, equation role or check supplied by an adult is mathematical help and is recorded as such. Show, draw, type, sign or use usual communication. One component can be enough; pause/pass/finish are choices. Four own spaces are genuinely empty. Models, criteria and next lessons stay on separate staff pages.
Complete different guided source
A pretend AUD budget $350 costs $176 and $175.
Complete new source
A fictional AUD budget $200 costs $97 and $104.
Complete own invitation
An invented AUD budget $500 costs $248 and $251.
Entry and teach
Check why exact comparison is necessary near threshold.
Guided instruction
351 cost, 1 over. Invite each relationship before the answer; teach missing facts and name help.
Id
NEXT23
Materials
Broad paper/empty bar or line/place-value headings as useful; usual communication; no actual stock/handling/purchase.
Observe and follow up
Receive one available own relationship before staff possibility. If it matches criterion, offer another small new context later; this is not automatic mastery. If not, return to the entry relationship and fade one hint. Record the actual mathematical help. If access/time is not available, change access or sitting rather than marking wrong.
Relationship to check
Teach the observed missing relationship in a new ordinary domain; not an answer repetition or further held item.
Session sequence
-
Read the new source and name units/wanted quantity. Check why exact comparison is necessary near threshold.
-
Model on separate adult paper. 201 cost, 1 over; an estimate 100+100≈200 cannot prove the plan fits.
-
Guide a different complete source. A pretend AUD budget $350 costs $176 and $175. 351 cost, 1 over.
-
Receive one own attempt. An invented AUD budget $500 costs $248 and $251. Staff reference only: 499 cost, 1 left.
-
Compare available work with: Exact cost and money-left/excess direction support affordability in the model. Choose one follow-up offer; never infer independence from a copied model.
What to look for
Exact cost and money-left/excess direction support affordability in the model.
Staff own possibility
499 cost, 1 left.
Teacher model
201 cost, 1 over; an estimate 100+100≈200 cannot prove the plan fits.
Timing
An adjustable 10–20 minute ordinary lesson, unpiloted; split/stop after one useful part.
Title
One over matters
Own initial value
Prompt
Calculate exactly and decide whether it fits. State the money left or excess.
After own work: adult practice possibility
148+153=301; $301−$300=$1 over. Money left is not positive $1.
Criterion
A valid check supports 301; approximate 300 missed the 1-dollar excess.
Id
C-later-Q4
Next ordinary teaching
Access
Read or sign the exact source and prompts neutrally, enlarge them, or scribe the learner’s chosen words. A figure, operation, regrouping, equation role or check supplied by an adult is mathematical help and is recorded as such. Show, draw, type, sign or use usual communication. One component can be enough; pause/pass/finish are choices. Four own spaces are genuinely empty. Models, criteria and next lessons stay on separate staff pages.
Complete different guided source
A pretend AUD plan costs $148 and $247, budget $400.
Complete new source
A fictional AUD plan costs $237 and $186, budget $430.
Complete own invitation
An invented AUD plan costs $267 and $236, budget $500.
Entry and teach
Teach sum minus one part recovers other on $18+$7=$25.
Guided instruction
395 cost, 5 left; 395−148=247. Invite each relationship before the answer; teach missing facts and name help.
Id
NEXT24
Materials
Broad paper/empty bar or line/place-value headings as useful; usual communication; no actual stock/handling/purchase.
Observe and follow up
Receive one available own relationship before staff possibility. If it matches criterion, offer another small new context later; this is not automatic mastery. If not, return to the entry relationship and fade one hint. Record the actual mathematical help. If access/time is not available, change access or sitting rather than marking wrong.
Relationship to check
Teach the observed missing relationship in a new ordinary domain; not an answer repetition or further held item.
Session sequence
-
Read the new source and name units/wanted quantity. Teach sum minus one part recovers other on $18+$7=$25.
-
Model on separate adult paper. 423 cost, 7 left; 423−186=237 checks. About 240+190≈430 is inconclusive.
-
Guide a different complete source. A pretend AUD plan costs $148 and $247, budget $400. 395 cost, 5 left; 395−148=247.
-
Receive one own attempt. An invented AUD plan costs $267 and $236, budget $500. Staff reference only: 503 cost, 3 over; 503−267=236.
-
Compare available work with: An exact connected check supports the decision; rough rounding alone does not. Choose one follow-up offer; never infer independence from a copied model.
What to look for
An exact connected check supports the decision; rough rounding alone does not.
Staff own possibility
503 cost, 3 over; 503−267=236.
Teacher model
423 cost, 7 left; 423−186=237 checks. About 240+190≈430 is inconclusive.
Timing
An adjustable 10–20 minute ordinary lesson, unpiloted; split/stop after one useful part.
Title
Check a budget result
Own initial value
Prompt
Give an exact check and explain why the rough estimate alone was insufficient here.
After own work: adult practice possibility
301−148=153. The estimate equalled budget but exact cost is 1 more; a revised plan would need its own conditions/check.
Eligibility
After additive financial modelling, estimate limits and exact comparisons have been taught, e.g. Day 59. Whole-dollar interpretation is checked; if unfamiliar, teach equivalent card-count target separately.
First later limit
First/later are opportunity labels, not fixed order, matches, calibrated difficulty or learning gain. If source/answer exposed, record that rather than claim unseen.
Id
C-later
Complete neutral source
A fictional Australian-dollar budget is $300. Two invented whole-dollar costs are $148 and $153. There are no other costs in this model. These are not current prices, personal finances or a purchase invitation.
Own page
Four labelled true empty text areas with literal blank initial values; kept draft not required for judgement; staff information behind separate link, not autofilled.
Source disclosure
Full neutral whole source is initially closed native same-page details on own response page; reading it never navigates away or loses typed work. No worked/criterion/next source inside its child disclosure. Staff index is separate.
Title
A close pretend budget