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Year 4 Mathematics · Term 2 · Resource weeks 11–12 · sequence days 51–60

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A close pretend budget · educator reviewYear 4 Maths · T2 W11–12 · Staff · Assessment / Staff / C later

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

  1. 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

    1. Read the new source and name units/wanted quantity. Teach dollars as a single unit; no cents or real spending needed.

    2. Model on separate adult paper. Cost 126+98=224 dollars; compare 224≤250.

    3. Guide a different complete source. A pretend AUD budget $300 has costs $147 and $128. 275 cost, 25 left.

    4. Receive one own attempt. An invented AUD budget $400 has costs $186 and $195. Staff reference only: 381 cost, 19 left.

    5. 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.

  2. 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

    1. Read the new source and name units/wanted quantity. Place 176 between 170/180 and 158 between 150/160; round nearest ten.

    2. Model on separate adult paper. About 180+160≈340 checks scale; exact 334 must settle a fit.

    3. Guide a different complete source. A pretend AUD plan costs $247 and $138, budget $390. About 250+140≈390; exact 385, 5 left.

    4. 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.

    5. 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.

  3. 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

    1. Read the new source and name units/wanted quantity. Check why exact comparison is necessary near threshold.

    2. Model on separate adult paper. 201 cost, 1 over; an estimate 100+100≈200 cannot prove the plan fits.

    3. Guide a different complete source. A pretend AUD budget $350 costs $176 and $175. 351 cost, 1 over.

    4. Receive one own attempt. An invented AUD budget $500 costs $248 and $251. Staff reference only: 499 cost, 1 left.

    5. 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.

  4. 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

    1. Read the new source and name units/wanted quantity. Teach sum minus one part recovers other on $18+$7=$25.

    2. Model on separate adult paper. 423 cost, 7 left; 423−186=237 checks. About 240+190≈430 is inconclusive.

    3. Guide a different complete source. A pretend AUD plan costs $148 and $247, budget $400. 395 cost, 5 left; 395−148=247.

    4. Receive one own attempt. An invented AUD plan costs $267 and $236, budget $500. Staff reference only: 503 cost, 3 over; 503−267=236.

    5. 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

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