A total worth checking
Full educator lesson · Pupil invitation · Empty work mat · Optional home activity · Larger project · Written read-together script · Additive Work Bench
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
612 + 243 = (600 + 200) + (10 + 40) + (2 + 3) = 800 + 50 + 5 = 855 badges. Say what each part counts. This is joining two collections, not 612 groups of 243.
Child direction
Can we make a stock note that someone else can trust? Pick one route. Show what the numbers mean, try a way, then check one result. You can stop after a useful part.
Common tangle
columns are mixed; check the roles and equivalent quantities, rather than memorising a printed answer.
Day
51
Different guided practice
An invented drawing archive has 421 cards plus 136 new cards. Invite the partition before the total: 400 + 100, 20 + 30, 1 + 6, then 557 cards. Ask why units can be joined.
Check and teach the entry relationship
Ask for 42 + 15 and a representation of 42 as four tens and two ones. If either is unavailable, count labelled tens/ones, join 2 + 5 ones then 4 + 1 tens. Teach 57 before increasing the number. Earlier fraction, parity or multiplication packs are not an entry guarantee.
Hook
Can we make a stock note that someone else can trust?
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 columns are mixed, label hundreds/tens/ones on 203 + 124, build 327, then invite 302 + 113 = 415 with labels faded.
Complete fictional source
Fictional badge studio: 612 blank badges arrive in one parcel and 243 in another. Every badge is counted once. How many badges are available?
One own invitation
For 304 + 152, give a total and one way to check its parts.
Partial curriculum opportunity
AC9M4N06
Purpose
Join like whole counts using place-value partitioning.
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
A fictional game has 42 clue cards, then 15 arrive. Make a total note using tens and ones.
Entry or access
Return to two broad tens and three ones plus one ten if needed.
Id
A
Title
Small card repair
After own work: adult practice possibility
42 + 15 = 57 cards: 40 + 10 = 50, 2 + 5 = 7.
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 the 612 and 243 badge parcels. Compare partitioning with adding 200, then 40, then 3 to 612.
Entry or access
Use labels rather than 855 loose marks.
Id
B
Title
Badge maker
After own work: adult practice possibility
855 badges; 612→812→852→855 keeps the complete second quantity.
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
A fictional archive joins 2436 and 1523 cards. Show two compatible partitions.
Entry or access
Check thousands/hundreds entry before this larger route.
Id
C
Title
Archive upgrade
After own work: adult practice possibility
3959 cards: 2000 + 1000, 400 + 500, 30 + 20, 6 + 3. Or 2436 + 1500 + 23.
Session stages
Instruction
Can we make a stock note that someone else can trust? Read the source. Ask what the numbers count and the wanted quantity. Ask for 42 + 15 and a representation of 42 as four tens and two ones. If either is unavailable, count labelled tens/ones, join 2 + 5 ones then 4 + 1 tens. Teach 57 before increasing the number. Earlier fraction, parity or multiplication packs are not an entry guarantee.
Minutes suggestion
5
Stage
Meet the job
Instruction
612 + 243 = (600 + 200) + (10 + 40) + (2 + 3) = 800 + 50 + 5 = 855 badges. Say what each part counts. This is joining two collections, not 612 groups of 243. Show on separate adult paper. Pause after one transformation; invite explanation before showing the next.
Minutes suggestion
10
Stage
Teach one relationship
Instruction
An invented drawing archive has 421 cards plus 136 new cards. Invite the partition before the total: 400 + 100, 20 + 30, 1 + 6, then 557 cards. Ask why units can be joined. 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
For 304 + 152, give a total and one way to check its parts. Receive an available response before staff key. If columns are mixed, label hundreds/tens/ones on 203 + 124, build 327, then invite 302 + 113 = 415 with labels faded.
Minutes suggestion
5
Stage
Receive and choose tomorrow
What to look for
The result and a valid like-unit partition agree; a copied total alone is insufficient for the explanation.
After own work: staff possibility
456; 300 + 100, 0 + 50, 4 + 2. Check 456 − 152 = 304 or recombine the parts.
Status
Proposed 35-minute shape, unpiloted and freely reorderable; resource day not school calendar requirement.
Title
A total worth checking