Access
Show, draw, type, sign, use your usual communication or direct an agreeing helper. Choose quiet/private work, switch a route, pause, pass or finish. One useful part is enough. A helper can read the exact words or scribe your choices; supplying an operation, count, regrouping or reason is mathematical help and is named. No speed, neatness, speech, handling or device requirement.
Adult model
Handouts 268+124=392; 485−392=93 more needed. Budget 265+148=413 cost; 450−413=37 left. Nearest-ten estimate 270+150≈420 checks scale but is not the exact 413 or 37. Keep handouts and dollars separate.
Child direction
Pick a made-up supply or budget job. What decision does the arithmetic need to answer? Pick one route. Show what the numbers mean, try a way, then check one result. You can stop after a useful part.
Common tangle
an estimate is treated as exact; check the roles and equivalent quantities, rather than memorising a printed answer.
Day
59
Different guided practice
An imaginary card plan needs 600 cards; 328+195=523 available, gap 77. A separate invented budget $380 costs $197+$186=$383, $3 over. A rough $200+$190≈$390 suggests close but exact arithmetic settles it.
Check and teach the entry relationship
Check sum/difference role and nearest-ten rounding. Show 265 rounds 270 and 148 rounds 150; nearest-ten rough cost 420 differs from exact 413. No cents, retail price or family-finance knowledge assumed.
Hook
Pick a made-up supply or budget job. What decision does the arithmetic need to answer?
Materials
Broad paper, labelled place-value/part-whole/number-line alternatives as suitable; optional familiar safe counters; usual communication. No hundreds of loose marks, purchases or physical handling required. Keep adult model and own work separate.
Next ordinary teaching
If an estimate is treated as exact, compare 49+52≈50+50=100 with exact 101 and target 100. Guide it is 1 over; then invite 98+103 with target 200. Staff reference: 98+103=201, which is 1 over 200.
Complete fictional source
A fictional print stand needs 485 handouts. It has 268 in one pile and 124 in another. Is there enough? Separately a pretend art plan has costs $265 and $148, within an invented AUD450 budget.
One own invitation
Budget $300, fictional costs $148 and $153. Does it fit? Give an exact reason.
Partial curriculum opportunity
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AC9M4N08 additive partial
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AC9M4N07
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AC9M4N06
Purpose
Formulate additive practical problems and interpret exact comparisons.
Routes
Access
Show, draw, type, sign, use your usual communication or direct an agreeing helper. Choose quiet/private work, switch a route, pause, pass or finish. One useful part is enough. A helper can read the exact words or scribe your choices; supplying an operation, count, regrouping or reason is mathematical help and is named. No speed, neatness, speech, handling or device requirement.
Complete task
An invented set needs 90 cards; there are 47 and 36. Find whether more are needed.
Entry or access
Use whole counts rather than a purchase.
Id
A
Title
Small card order
After own work: adult practice possibility
83 available, 7 more.
Access
Show, draw, type, sign, use your usual communication or direct an agreeing helper. Choose quiet/private work, switch a route, pause, pass or finish. One useful part is enough. A helper can read the exact words or scribe your choices; supplying an operation, count, regrouping or reason is mathematical help and is named. No speed, neatness, speech, handling or device requirement.
Complete task
Use fictional $265+$148 and $450 budget. State total cost and money left.
Entry or access
No real cash handling or spending follows.
Id
B
Title
Art budget
After own work: adult practice possibility
413 cost, 37 left; about 420 checks scale.
Access
Show, draw, type, sign, use your usual communication or direct an agreeing helper. Choose quiet/private work, switch a route, pause, pass or finish. One useful part is enough. A helper can read the exact words or scribe your choices; supplying an operation, count, regrouping or reason is mathematical help and is named. No speed, neatness, speech, handling or device requirement.
Complete task
An invented print target is 2000 sheets, with 987+1018 available. Estimate then decide exactly.
Entry or access
Compare a rough equality with exact five-extra.
Id
C
Title
Close print decision
After own work: adult practice possibility
2005 available, 5 surplus; about 1000+1000=2000 is inconclusive.
Session stages
Instruction
Pick a made-up supply or budget job. What decision does the arithmetic need to answer? Read the source. Ask what the numbers count and the wanted quantity. Check sum/difference role and nearest-ten rounding. Show 265 rounds 270 and 148 rounds 150; nearest-ten rough cost 420 differs from exact 413. No cents, retail price or family-finance knowledge assumed.
Minutes suggestion
5
Stage
Meet the job
Instruction
Handouts 268+124=392; 485−392=93 more needed. Budget 265+148=413 cost; 450−413=37 left. Nearest-ten estimate 270+150≈420 checks scale but is not the exact 413 or 37. Keep handouts and dollars separate. Show on separate adult paper. Pause after one transformation; invite explanation before showing the next.
Minutes suggestion
10
Stage
Teach one relationship
Instruction
An imaginary card plan needs 600 cards; 328+195=523 available, gap 77. A separate invented budget $380 costs $197+$186=$383, $3 over. A rough $200+$190≈$390 suggests close but exact arithmetic settles it. Offer one complete route below, not all three as a quota. Let the learner select a representation and pause or switch.
Minutes suggestion
15
Stage
Guide then choose
Instruction
Budget $300, fictional costs $148 and $153. Does it fit? Give an exact reason. Receive an available response before staff key. If an estimate is treated as exact, compare 49+52≈50+50=100 with exact 101 and target 100. Guide it is 1 over; then invite 98+103 with target 200. Staff reference: 98+103=201, which is 1 over 200.
Minutes suggestion
5
Stage
Receive and choose tomorrow
What to look for
A correct additive model, exact 301 and interpretation of $1 over agree; approximate 300 is not affordability proof.
After own work: staff possibility
301 cost, $1 over. A nearest-ten estimate 150+150≈300 cannot settle the tight decision.
Status
Proposed 35-minute shape, unpiloted and freely reorderable; resource day not school calendar requirement.
Title
An estimate helps. An exact check decides.