# A total worth checking ## 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 1. AC9M4N06 ## Purpose Join like whole counts using place-value partitioning. ## Routes 1. ### 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. 2. ### 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. 3. ### 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 1. ### 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 2. ### 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 3. ### 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 4. ### 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