More complete situations
Use an own first try before opening each staff possibility. These are fiction, not observed stock or journeys.
C01 · Game-table delivery
Fictional paper scene: Game-table delivery. The grid has 4 columns, labelled A to D left to right, and 4 rows, labelled 1 to 4 top to bottom. All cells have the same size. Up means towards the top of this page, down towards its bottom, left and right across this page. Moving one cell reaches the neighbouring cell; diagonal moves are not offered. The start marker is at A4; the target is at D1. reading mat is at B2; quiet card is at C3. Every cell inside the grid is open. The supplied instruction is 3 cells right, then 3 cells up. Follow its instructions in the stated order. This scene is supplied information, not an observed school place or a map at real-world scale.
Use or repair this instruction so a reader can find the stated target. Name the positions and show a check.
After-own staff possibility
The successive marker cells are A4, B4, C4, D4, D3, D2, D1. The supplied route ends at D1. It makes 6 one-cell moves; its 7 recorded positions include the initial position. It is legal inside this supplied grid.
C02 · Puppet reading camp
Fictional paper scene: Puppet reading camp. The grid has 4 columns, labelled A to D left to right, and 4 rows, labelled 1 to 4 top to bottom. All cells have the same size. Up means towards the top of this page, down towards its bottom, left and right across this page. Moving one cell reaches the neighbouring cell; diagonal moves are not offered. The start marker is at A1; the target is at D3. story box is at B4; puppet shelf is at C2. Every cell inside the grid is open. The supplied instruction is 2 cells down, then 3 cells right. Follow its instructions in the stated order. This scene is supplied information, not an observed school place or a map at real-world scale.
Use or repair this instruction so a reader can find the stated target. Name the positions and show a check.
After-own staff possibility
The successive marker cells are A1, A2, A3, B3, C3, D3. The supplied route ends at D3. It makes 5 one-cell moves; its 6 recorded positions include the initial position. It is legal inside this supplied grid.
C03 · Art label station
Fictional paper scene: Art label station. The grid has 5 columns, labelled A to E left to right, and 5 rows, labelled 1 to 5 top to bottom. All cells have the same size. Up means towards the top of this page, down towards its bottom, left and right across this page. Moving one cell reaches the neighbouring cell; diagonal moves are not offered. The start marker is at B4; the target is at E2. brush card is at A1; display card is at C3. Every cell inside the grid is open. The supplied instruction is 3 cells right, then 2 cells up. Follow its instructions in the stated order. This scene is supplied information, not an observed school place or a map at real-world scale.
Use or repair this instruction so a reader can find the stated target. Name the positions and show a check.
After-own staff possibility
The successive marker cells are B4, C4, D4, E4, E3, E2. The supplied route ends at E2. It makes 5 one-cell moves; its 6 recorded positions include the initial position. It is legal inside this supplied grid.
C04 · Treasure-message game
Fictional paper scene: Treasure-message game. The grid has 5 columns, labelled A to E left to right, and 5 rows, labelled 1 to 5 top to bottom. All cells have the same size. Up means towards the top of this page, down towards its bottom, left and right across this page. Moving one cell reaches the neighbouring cell; diagonal moves are not offered. The start marker is at C5; the target is at A2. hint card is at D1; message card is at B3. Every cell inside the grid is open. The supplied instruction is 2 cells left, then 3 cells up. Follow its instructions in the stated order. This scene is supplied information, not an observed school place or a map at real-world scale.
Use or repair this instruction so a reader can find the stated target. Name the positions and show a check.
After-own staff possibility
The successive marker cells are C5, B5, A5, A4, A3, A2. The supplied route ends at A2. It makes 5 one-cell moves; its 6 recorded positions include the initial position. It is legal inside this supplied grid.
C05 · Two routes to a reading corner
Fictional paper scene: Two routes to a reading corner. The grid has 4 columns, labelled A to D left to right, and 4 rows, labelled 1 to 4 top to bottom. All cells have the same size. Up means towards the top of this page, down towards its bottom, left and right across this page. Moving one cell reaches the neighbouring cell; diagonal moves are not offered. The start marker is at A1; the target is at C3. title card is at D4; bookmark card is at B2. Every cell inside the grid is open. The supplied instruction is 2 cells right, then 2 cells down. Follow its instructions in the stated order. This scene is supplied information, not an observed school place or a map at real-world scale.
Use or repair this instruction so a reader can find the stated target. Name the positions and show a check.
After-own staff possibility
The successive marker cells are A1, B1, C1, C2, C3. The supplied route ends at C3. It makes 4 one-cell moves; its 5 recorded positions include the initial position. It is legal inside this supplied grid.
C06 · Garden-guide desk
Fictional paper scene: Garden-guide desk. The grid has 5 columns, labelled A to E left to right, and 5 rows, labelled 1 to 5 top to bottom. All cells have the same size. Up means towards the top of this page, down towards its bottom, left and right across this page. Moving one cell reaches the neighbouring cell; diagonal moves are not offered. The start marker is at D1; the target is at B4. drawing card is at E5; plant-name card is at A2. Every cell inside the grid is open. The supplied instruction is 2 cells left, then 3 cells down. Follow its instructions in the stated order. This scene is supplied information, not an observed school place or a map at real-world scale.
Use or repair this instruction so a reader can find the stated target. Name the positions and show a check.
After-own staff possibility
The successive marker cells are D1, C1, B1, B2, B3, B4. The supplied route ends at B4. It makes 5 one-cell moves; its 6 recorded positions include the initial position. It is legal inside this supplied grid.
C07 · Repair the game route
Fictional paper scene: Repair the game route. The grid has 4 columns, labelled A to D left to right, and 4 rows, labelled 1 to 4 top to bottom. All cells have the same size. Up means towards the top of this page, down towards its bottom, left and right across this page. Moving one cell reaches the neighbouring cell; diagonal moves are not offered. The start marker is at B2; the target is at C3. spare-card box is at A4; guide card is at D1. The closed cells are C2: neither enter nor pass through them. The supplied instruction is 1 cell right, then 1 cell down. Follow its instructions in the stated order. This scene is supplied information, not an observed school place or a map at real-world scale.
Use or repair this instruction so a reader can find the stated target. Name the positions and show a check.
After-own staff possibility
The successive marker cells are B2, C2, C3. The supplied route ends at C3. It makes 2 one-cell moves; its 3 recorded positions include the initial position. It enters a closed or outside cell, so the route is not legal even if its endpoint matches. One repair is down 1 cell to B3, then right 1 cell to C3; neither cell is closed.
C08 · Museum model with a closed square
Fictional paper scene: Museum model with a closed square. The grid has 5 columns, labelled A to E left to right, and 5 rows, labelled 1 to 5 top to bottom. All cells have the same size. Up means towards the top of this page, down towards its bottom, left and right across this page. Moving one cell reaches the neighbouring cell; diagonal moves are not offered. The start marker is at C4; the target is at D2. sketch card is at B1; label card is at E3. The closed cells are D4: neither enter nor pass through them. The supplied instruction is 1 cell right, then 2 cells up. Follow its instructions in the stated order. This scene is supplied information, not an observed school place or a map at real-world scale.
Use or repair this instruction so a reader can find the stated target. Name the positions and show a check.
After-own staff possibility
The successive marker cells are C4, D4, D3, D2. The supplied route ends at D2. It makes 3 one-cell moves; its 4 recorded positions include the initial position. It enters a closed or outside cell, so the route is not legal even if its endpoint matches. One repair is up 2 cells through C3 to C2, then right 1 cell to D2. The endpoint is unchanged; the path avoids D4.
C09 · Story-guide delivery
Fictional paper scene: Story-guide delivery. The grid has 3 columns, labelled A to C left to right, and 4 rows, labelled 1 to 4 top to bottom. All cells have the same size. Up means towards the top of this page, down towards its bottom, left and right across this page. Moving one cell reaches the neighbouring cell; diagonal moves are not offered. The start marker is at C4; the target is at B1. front-cover card is at A2; story-title card is at B3. Every cell inside the grid is open. The supplied instruction is 3 cells up, then 1 cell left. Follow its instructions in the stated order. This scene is supplied information, not an observed school place or a map at real-world scale.
Use or repair this instruction so a reader can find the stated target. Name the positions and show a check.
After-own staff possibility
The successive marker cells are C4, C3, C2, C1, B1. The supplied route ends at B1. It makes 4 one-cell moves; its 5 recorded positions include the initial position. It is legal inside this supplied grid.
C10 · Quiet stage-map guide
Fictional paper scene: Quiet stage-map guide. The grid has 4 columns, labelled A to D left to right, and 4 rows, labelled 1 to 4 top to bottom. All cells have the same size. Up means towards the top of this page, down towards its bottom, left and right across this page. Moving one cell reaches the neighbouring cell; diagonal moves are not offered. The start marker is at D4; the target is at A2. actor-name card is at B1; scene-name card is at C3. Every cell inside the grid is open. The supplied instruction is 3 cells left, then 2 cells up. Follow its instructions in the stated order. This scene is supplied information, not an observed school place or a map at real-world scale.
Use or repair this instruction so a reader can find the stated target. Name the positions and show a check.
After-own staff possibility
The successive marker cells are D4, C4, B4, A4, A3, A2. The supplied route ends at A2. It makes 5 one-cell moves; its 6 recorded positions include the initial position. It is legal inside this supplied grid.
C11 · Mini-zine label orders
Fictional quantity card set: Mini-zine label orders. First card states 214 labels; second card states 241 labels; third card states 412 labels. These are stated counts of the same kind of label, not observed stocks, money, distances or prices. The task is to represent, compare or order these stated quantities and give a checking reason.
Make a useful quantity guide. Keep the whole quantity and the value of each digit clear.
After-own staff possibility
214 = 2 hundreds + 1 ten + 4 ones = 200 + 10 + 4. 241 = 2 hundreds + 4 tens + 1 one = 200 + 40 + 1. 412 = 4 hundreds + 1 ten + 2 ones = 400 + 10 + 2. Ascending order is 214, 241, 412. Compare the first differing place from the highest place, rather than the last digit alone.
C12 · Zero on the archive cards
Fictional quantity card set: Zero on the archive cards. First card states 304 labels; second card states 340 labels; third card states 403 labels. These are stated counts of the same kind of label, not observed stocks, money, distances or prices. The task is to represent, compare or order these stated quantities and give a checking reason.
Make a useful quantity guide. Keep the whole quantity and the value of each digit clear.
After-own staff possibility
304 = 3 hundreds + 0 tens + 4 ones = 300 + 0 + 4. 340 = 3 hundreds + 4 tens + 0 ones = 300 + 40 + 0. 403 = 4 hundreds + 0 tens + 3 ones = 400 + 0 + 3. Ascending order is 304, 340, 403. Compare the first differing place from the highest place, rather than the last digit alone.
C13 · Label counts around four hundred
Fictional quantity card set: Label counts around four hundred. First card states 390 labels; second card states 400 labels; third card states 410 labels. These are stated counts of the same kind of label, not observed stocks, money, distances or prices. An extra number-line guide states 390,400,410,420 in this order, with equal ten-label intervals. The task is to represent, compare or order these stated quantities and give a checking reason.
Make a useful quantity guide. Keep the whole quantity and the value of each digit clear.
After-own staff possibility
390 = 3 hundreds + 9 tens + 0 ones = 300 + 90 + 0. 400 = 4 hundreds + 0 tens + 0 ones = 400 + 0 + 0. 410 = 4 hundreds + 1 ten + 0 ones = 400 + 10 + 0. Ascending order is 390, 400, 410. Compare the first differing place from the highest place, rather than the last digit alone. Use a number-line guide with four equally spaced ticks labelled 390, 400, 410, 420 from left to right. The four ticks bound three equal ten-label intervals. Place the 390 card at the first tick, 400 at the second and 410 at the third; 420 is the final supplied scale label, not a fourth quantity card. One interval right adds ten labels and one interval left removes ten. The positions and equal intervals explain the same ordering; counting the tick labels is not counting the intervals.
C14 · Just before one thousand
Fictional quantity card set: Just before one thousand. First card states 998 labels; second card states 999 labels; third card states 1000 labels. These are stated counts of the same kind of label, not observed stocks, money, distances or prices. Ten hundreds represent 1000. Its numeral has four digits; it is the taught boundary, not a three-digit quantity. The task is to represent, compare or order these stated quantities and give a checking reason.
Make a useful quantity guide. Keep the whole quantity and the value of each digit clear.
After-own staff possibility
998 = 9 hundreds + 9 tens + 8 ones = 900 + 90 + 8. 999 = 9 hundreds + 9 tens + 9 ones = 900 + 90 + 9. 1000 = 10 hundreds + 0 tens + 0 ones = 1000 + 0 + 0. Ascending order is 998, 999, 1000. Compare the first differing place from the highest place, rather than the last digit alone. On separate teacher paper, place 998, 999, 1000 in order at three equally spaced one-label ticks. There are two one-label intervals. The jump from 999 to 1000 crosses the named boundary, even though the final numeral has four digits. For the separate 999-to-1000 boundary, show 999 as 9 hundreds, 9 tens and 9 ones. Add 1 one: 9 hundreds, 9 tens and 10 ones. Manually exchange 10 ones for 1 ten: 9 hundreds, 10 tens and 0 ones. Manually exchange 10 tens for 1 hundred: 10 hundreds, 0 tens and 0 ones = 1000. Ten hundreds have the value of 1 thousand. The quantity increases only when the extra one is added; each exchange preserves the resulting whole. Use chosen 100/10/1 cards or paper bundles; no automatic exchange is required.
C15 · One whole, two bundle descriptions
Fictional quantity card set: One whole, two bundle descriptions. First card states 507 labels; second card states 470 labels; third card states 570 labels. These are stated counts of the same kind of label, not observed stocks, money, distances or prices. A separate supplied model for 507 is 4 hundreds, 10 tens and 7 ones. Ten tens have the same value as one hundred. The task is to represent, compare or order these stated quantities and give a checking reason.
Make a useful quantity guide. Keep the whole quantity and the value of each digit clear.
After-own staff possibility
507 = 5 hundreds + 0 tens + 7 ones = 500 + 0 + 7. 470 = 4 hundreds + 7 tens + 0 ones = 400 + 70 + 0. 570 = 5 hundreds + 7 tens + 0 ones = 500 + 70 + 0. Ascending order is 470, 507, 570. Compare the first differing place from the highest place, rather than the last digit alone. The supplied alternative is 507 = 4 hundreds + 10 tens + 7 ones = 400 + 100 + 7. Exchange ten tens for one hundred: 4 hundreds and 10 tens become 5 hundreds and 0 tens; keep all 7 ones. This gives the standard 5 hundreds, 0 tens and 7 ones. Both descriptions have the whole value 507. A regrouping changes named bundles, not the quantity; let the learner move chosen tokens or direct paper exchanges.
C16 · Repack without changing the whole
Fictional quantity card set: Repack without changing the whole. First card states 632 labels; second card states 623 labels; third card states 362 labels. These are stated counts of the same kind of label, not observed stocks, money, distances or prices. A separate supplied model for 632 is 5 hundreds,13 tens and 2 ones. The task is to represent, compare or order these stated quantities and give a checking reason.
Make a useful quantity guide. Keep the whole quantity and the value of each digit clear.
After-own staff possibility
632 = 6 hundreds + 3 tens + 2 ones = 600 + 30 + 2. 623 = 6 hundreds + 2 tens + 3 ones = 600 + 20 + 3. 362 = 3 hundreds + 6 tens + 2 ones = 300 + 60 + 2. Ascending order is 362, 623, 632. Compare the first differing place from the highest place, rather than the last digit alone. The supplied alternative is 632 = 5 hundreds + 13 tens + 2 ones = 500 + 130 + 2. Exchange ten tens for one hundred: 5 hundreds and 13 tens become 6 hundreds and 3 tens; keep both ones. This gives the standard 6 hundreds, 3 tens and 2 ones. Both descriptions have the whole value 632. The three unexchanged tens must remain; do not discard their value.
C17 · Which place has the six?
Fictional quantity card set: Which place has the six? First card states 460 labels; second card states 406 labels; third card states 604 labels. These are stated counts of the same kind of label, not observed stocks, money, distances or prices. A helper claims 406 is more than 460 because the last digit 6 is larger than 0. Decide whether that reason supports the actual quantities. The task is to represent, compare or order these stated quantities and give a checking reason.
Make a useful quantity guide. Keep the whole quantity and the value of each digit clear.
After-own staff possibility
460 = 4 hundreds + 6 tens + 0 ones = 400 + 60 + 0. 406 = 4 hundreds + 0 tens + 6 ones = 400 + 0 + 6. 604 = 6 hundreds + 0 tens + 4 ones = 600 + 0 + 4. Ascending order is 406, 460, 604. Compare the first differing place from the highest place, rather than the last digit alone.
C18 · Zeros change the place
Fictional quantity card set: Zeros change the place. First card states 209 labels; second card states 290 labels; third card states 902 labels. These are stated counts of the same kind of label, not observed stocks, money, distances or prices. No value is invented in an empty tens or ones place. The task is to represent, compare or order these stated quantities and give a checking reason.
Make a useful quantity guide. Keep the whole quantity and the value of each digit clear.
After-own staff possibility
209 = 2 hundreds + 0 tens + 9 ones = 200 + 0 + 9. 290 = 2 hundreds + 9 tens + 0 ones = 200 + 90 + 0. 902 = 9 hundreds + 0 tens + 2 ones = 900 + 0 + 2. Ascending order is 209, 290, 902. Compare the first differing place from the highest place, rather than the last digit alone.
C19 · Guide for two label plans
Fictional quantity card set: Guide for two label plans. First card states 730 labels; second card states 703 labels; third card states 370 labels. These are stated counts of the same kind of label, not observed stocks, money, distances or prices. A supplied number line has 700,710,720,730,740 with equal ten-label intervals. 703 lies between 700 and 710;730 is a labelled tick. The task is to represent, compare or order these stated quantities and give a checking reason.
Make a useful quantity guide. Keep the whole quantity and the value of each digit clear.
After-own staff possibility
730 = 7 hundreds + 3 tens + 0 ones = 700 + 30 + 0. 703 = 7 hundreds + 0 tens + 3 ones = 700 + 0 + 3. 370 = 3 hundreds + 7 tens + 0 ones = 300 + 70 + 0. Ascending order is 370, 703, 730. Compare the first differing place from the highest place, rather than the last digit alone.
C20 · Quantity guide for a paper makerspace
Fictional quantity card set: Quantity guide for a paper makerspace. First card states 120 labels; second card states 210 labels; third card states 201 labels. These are stated counts of the same kind of label, not observed stocks, money, distances or prices. Choose a clear ordering or bundling instruction for these supplied label quantities. No physical labels are required. The task is to represent, compare or order these stated quantities and give a checking reason.
Make a useful quantity guide. Keep the whole quantity and the value of each digit clear.
After-own staff possibility
120 = 1 hundred + 2 tens + 0 ones = 100 + 20 + 0. 210 = 2 hundreds + 1 ten + 0 ones = 200 + 10 + 0. 201 = 2 hundreds + 0 tens + 1 one = 200 + 0 + 1. Ascending order is 120, 201, 210. Compare the first differing place from the highest place, rather than the last digit alone.
G61 · New story-desk map
Fictional paper scene: New story-desk map. The grid has 3 columns, labelled A to C left to right, and 3 rows, labelled 1 to 3 top to bottom. All cells have the same size. Up means towards the top of this page, down towards its bottom, left and right across this page. Moving one cell reaches the neighbouring cell; diagonal moves are not offered. The start marker is at A3; the target is at C1. story card is at B2. Every cell inside the grid is open. The supplied instruction is 2 cells right, then 2 cells up. Follow its instructions in the stated order. This scene is supplied information, not an observed school place or a map at real-world scale.
Use or repair this instruction so a reader can find the stated target. Name the positions and show a check.
After-own staff possibility
The successive marker cells are A3, B3, C3, C2, C1. The supplied route ends at C1. It makes 4 one-cell moves; its 5 recorded positions include the initial position. It is legal inside this supplied grid.
G62 · New puppet-grid route
Fictional paper scene: New puppet-grid route. The grid has 4 columns, labelled A to D left to right, and 3 rows, labelled 1 to 3 top to bottom. All cells have the same size. Up means towards the top of this page, down towards its bottom, left and right across this page. Moving one cell reaches the neighbouring cell; diagonal moves are not offered. The start marker is at D1; the target is at B3. puppet card is at A2. Every cell inside the grid is open. The supplied instruction is 2 cells left, then 2 cells down. Follow its instructions in the stated order. This scene is supplied information, not an observed school place or a map at real-world scale.
Use or repair this instruction so a reader can find the stated target. Name the positions and show a check.
After-own staff possibility
The successive marker cells are D1, C1, B1, B2, B3. The supplied route ends at B3. It makes 4 one-cell moves; its 5 recorded positions include the initial position. It is legal inside this supplied grid.
G63 · New art-map route choice
Fictional paper scene: New art-map route choice. The grid has 4 columns, labelled A to D left to right, and 4 rows, labelled 1 to 4 top to bottom. All cells have the same size. Up means towards the top of this page, down towards its bottom, left and right across this page. Moving one cell reaches the neighbouring cell; diagonal moves are not offered. The start marker is at B1; the target is at D4. art card is at A3. Every cell inside the grid is open. The supplied instruction is 2 cells right, then 3 cells down. Follow its instructions in the stated order. This scene is supplied information, not an observed school place or a map at real-world scale.
Use or repair this instruction so a reader can find the stated target. Name the positions and show a check.
After-own staff possibility
The successive marker cells are B1, C1, D1, D2, D3, D4. The supplied route ends at D4. It makes 5 one-cell moves; its 6 recorded positions include the initial position. It is legal inside this supplied grid.
G64 · New blocked-card route
Fictional paper scene: New blocked-card route. The grid has 4 columns, labelled A to D left to right, and 4 rows, labelled 1 to 4 top to bottom. All cells have the same size. Up means towards the top of this page, down towards its bottom, left and right across this page. Moving one cell reaches the neighbouring cell; diagonal moves are not offered. The start marker is at A3; the target is at C1. guide card is at D4. The closed cells are B3: neither enter nor pass through them. The supplied instruction is 2 cells up, then 2 cells right. Follow its instructions in the stated order. This scene is supplied information, not an observed school place or a map at real-world scale.
Use or repair this instruction so a reader can find the stated target. Name the positions and show a check.
After-own staff possibility
The successive marker cells are A3, A2, A1, B1, C1. The supplied route ends at C1. It makes 4 one-cell moves; its 5 recorded positions include the initial position. It is legal inside this supplied grid.
G65 · New fold-free map guide
Fictional paper scene: New fold-free map guide. The grid has 3 columns, labelled A to C left to right, and 4 rows, labelled 1 to 4 top to bottom. All cells have the same size. Up means towards the top of this page, down towards its bottom, left and right across this page. Moving one cell reaches the neighbouring cell; diagonal moves are not offered. The start marker is at A4; the target is at C2. name card is at B1. Every cell inside the grid is open. The supplied instruction is 2 cells up, then 2 cells right. Follow its instructions in the stated order. This scene is supplied information, not an observed school place or a map at real-world scale.
Use or repair this instruction so a reader can find the stated target. Name the positions and show a check.
After-own staff possibility
The successive marker cells are A4, A3, A2, B2, C2. The supplied route ends at C2. It makes 4 one-cell moves; its 5 recorded positions include the initial position. It is legal inside this supplied grid.
G66 · New model-label counts
Fictional quantity card set: New model-label counts. First card states 205 labels; second card states 250 labels; third card states 502 labels. These are stated counts of the same kind of label, not observed stocks, money, distances or prices. The task is to represent, compare or order these stated quantities and give a checking reason.
Make a useful quantity guide. Keep the whole quantity and the value of each digit clear.
After-own staff possibility
205 = 2 hundreds + 0 tens + 5 ones = 200 + 0 + 5. 250 = 2 hundreds + 5 tens + 0 ones = 200 + 50 + 0. 502 = 5 hundreds + 0 tens + 2 ones = 500 + 0 + 2. Ascending order is 205, 250, 502. Compare the first differing place from the highest place, rather than the last digit alone.
G67 · New line-label counts
Fictional quantity card set: New line-label counts. First card states 890 labels; second card states 900 labels; third card states 910 labels. These are stated counts of the same kind of label, not observed stocks, money, distances or prices. Equal ten-label ticks 880,890,900,910 are supplied. Then separately compare 999 with 1000 using 10 hundreds. The task is to represent, compare or order these stated quantities and give a checking reason.
Make a useful quantity guide. Keep the whole quantity and the value of each digit clear.
After-own staff possibility
890 = 8 hundreds + 9 tens + 0 ones = 800 + 90 + 0. 900 = 9 hundreds + 0 tens + 0 ones = 900 + 0 + 0. 910 = 9 hundreds + 1 ten + 0 ones = 900 + 10 + 0. Ascending order is 890, 900, 910. Compare the first differing place from the highest place, rather than the last digit alone. Use the supplied four equally spaced ticks labelled 880, 890, 900, 910. They bound three equal ten-label intervals. The 890 card belongs at the second tick, 900 at the third and 910 at the fourth; 880 is a scale label. Moving one interval changes the count by ten labels. Count intervals separately from ticks. For the separate 999-to-1000 boundary, show 999 as 9 hundreds, 9 tens and 9 ones. Add 1 one: 9 hundreds, 9 tens and 10 ones. Manually exchange 10 ones for 1 ten: 9 hundreds, 10 tens and 0 ones. Manually exchange 10 tens for 1 hundred: 10 hundreds, 0 tens and 0 ones = 1000. Ten hundreds have the value of 1 thousand. The quantity increases only when the extra one is added; each exchange preserves the resulting whole. Use chosen 100/10/1 cards or paper bundles; no automatic exchange is required.
G68 · New same-quantity bundles
Fictional quantity card set: New same-quantity bundles. First card states 504 labels; second card states 540 labels; third card states 405 labels. These are stated counts of the same kind of label, not observed stocks, money, distances or prices. The alternative 4 hundreds,10 tens,4 ones has the same total as 504. The task is to represent, compare or order these stated quantities and give a checking reason.
Make a useful quantity guide. Keep the whole quantity and the value of each digit clear.
After-own staff possibility
504 = 5 hundreds + 0 tens + 4 ones = 500 + 0 + 4. 540 = 5 hundreds + 4 tens + 0 ones = 500 + 40 + 0. 405 = 4 hundreds + 0 tens + 5 ones = 400 + 0 + 5. Ascending order is 405, 504, 540. Compare the first differing place from the highest place, rather than the last digit alone. The supplied alternative is 504 = 4 hundreds + 10 tens + 4 ones = 400 + 100 + 4. Exchange ten tens for one hundred: 4 hundreds and 10 tens become 5 hundreds and 0 tens; keep all 4 ones. This gives the standard 5 hundreds, 0 tens and 4 ones. Both descriptions have the whole value 504; zero tens is a named place, not a missing unit.
G69 · New wrong-digit claim
Fictional quantity card set: New wrong-digit claim. First card states 308 labels; second card states 380 labels; third card states 803 labels. These are stated counts of the same kind of label, not observed stocks, money, distances or prices. A helper claims 308 is larger than 380 because the final 8 is larger than 0. The task is to represent, compare or order these stated quantities and give a checking reason.
Make a useful quantity guide. Keep the whole quantity and the value of each digit clear.
After-own staff possibility
308 = 3 hundreds + 0 tens + 8 ones = 300 + 0 + 8. 380 = 3 hundreds + 8 tens + 0 ones = 300 + 80 + 0. 803 = 8 hundreds + 0 tens + 3 ones = 800 + 0 + 3. Ascending order is 308, 380, 803. Compare the first differing place from the highest place, rather than the last digit alone.
G70 · New tiny label-order guide
Fictional quantity card set: New tiny label-order guide. First card states 615 labels; second card states 651 labels; third card states 516 labels. These are stated counts of the same kind of label, not observed stocks, money, distances or prices. The task is to represent, compare or order these stated quantities and give a checking reason.
Make a useful quantity guide. Keep the whole quantity and the value of each digit clear.
After-own staff possibility
615 = 6 hundreds + 1 ten + 5 ones = 600 + 10 + 5. 651 = 6 hundreds + 5 tens + 1 one = 600 + 50 + 1. 516 = 5 hundreds + 1 ten + 6 ones = 500 + 10 + 6. Ascending order is 516, 615, 651. Compare the first differing place from the highest place, rather than the last digit alone.
R61 · Bookmark-post grid
Fictional paper scene: Bookmark-post grid. The grid has 4 columns, labelled A to D left to right, and 4 rows, labelled 1 to 4 top to bottom. All cells have the same size. Up means towards the top of this page, down towards its bottom, left and right across this page. Moving one cell reaches the neighbouring cell; diagonal moves are not offered. The start marker is at A2; the target is at C3. reader card is at B1; note card is at D4. Every cell inside the grid is open. The supplied instruction is 2 cells right, then 1 cell down. Follow its instructions in the stated order. This scene is supplied information, not an observed school place or a map at real-world scale.
Use or repair this instruction so a reader can find the stated target. Name the positions and show a check.
After-own staff possibility
The successive marker cells are A2, B2, C2, C3. The supplied route ends at C3. It makes 3 one-cell moves; its 4 recorded positions include the initial position. It is legal inside this supplied grid.
R62 · Costume-card delivery
Fictional paper scene: Costume-card delivery. The grid has 3 columns, labelled A to C left to right, and 5 rows, labelled 1 to 5 top to bottom. All cells have the same size. Up means towards the top of this page, down towards its bottom, left and right across this page. Moving one cell reaches the neighbouring cell; diagonal moves are not offered. The start marker is at C5; the target is at A2. colour-word card is at B4; scene card is at A5. Every cell inside the grid is open. The supplied instruction is 3 cells up, then 2 cells left. Follow its instructions in the stated order. This scene is supplied information, not an observed school place or a map at real-world scale.
Use or repair this instruction so a reader can find the stated target. Name the positions and show a check.
After-own staff possibility
The successive marker cells are C5, C4, C3, C2, B2, A2. The supplied route ends at A2. It makes 5 one-cell moves; its 6 recorded positions include the initial position. It is legal inside this supplied grid.
R63 · Picture-caption path
Fictional paper scene: Picture-caption path. The grid has 5 columns, labelled A to E left to right, and 4 rows, labelled 1 to 4 top to bottom. All cells have the same size. Up means towards the top of this page, down towards its bottom, left and right across this page. Moving one cell reaches the neighbouring cell; diagonal moves are not offered. The start marker is at E1; the target is at B3. picture card is at C4; caption card is at A2. Every cell inside the grid is open. The supplied instruction is 3 cells left, then 2 cells down. Follow its instructions in the stated order. This scene is supplied information, not an observed school place or a map at real-world scale.
Use or repair this instruction so a reader can find the stated target. Name the positions and show a check.
After-own staff possibility
The successive marker cells are E1, D1, C1, B1, B2, B3. The supplied route ends at B3. It makes 5 one-cell moves; its 6 recorded positions include the initial position. It is legal inside this supplied grid.
R64 · Closed-space sign plan
Fictional paper scene: Closed-space sign plan. The grid has 4 columns, labelled A to D left to right, and 5 rows, labelled 1 to 5 top to bottom. All cells have the same size. Up means towards the top of this page, down towards its bottom, left and right across this page. Moving one cell reaches the neighbouring cell; diagonal moves are not offered. The start marker is at A4; the target is at D2. spare sign is at B1; title card is at C5. The closed cells are B4: neither enter nor pass through them. The supplied instruction is 3 cells right, then 2 cells up. Follow its instructions in the stated order. This scene is supplied information, not an observed school place or a map at real-world scale.
Use or repair this instruction so a reader can find the stated target. Name the positions and show a check.
After-own staff possibility
The successive marker cells are A4, B4, C4, D4, D3, D2. The supplied route ends at D2. It makes 5 one-cell moves; its 6 recorded positions include the initial position. It enters a closed or outside cell, so the route is not legal even if its endpoint matches. A safe repair is up 2 cells A4→A3→A2, then right 3 cells through B2/C2 to D2.
R65 · Guide for a tiny familiarised paper scene
Fictional paper scene: Guide for a tiny familiarised paper scene. The grid has 4 columns, labelled A to D left to right, and 4 rows, labelled 1 to 4 top to bottom. All cells have the same size. Up means towards the top of this page, down towards its bottom, left and right across this page. Moving one cell reaches the neighbouring cell; diagonal moves are not offered. The start marker is at B4; the target is at D1. paper-room card is at A2; choice card is at C3. Every cell inside the grid is open. The supplied instruction is 3 cells up, then 2 cells right. Follow its instructions in the stated order. This scene is supplied information, not an observed school place or a map at real-world scale.
Use or repair this instruction so a reader can find the stated target. Name the positions and show a check.
After-own staff possibility
The successive marker cells are B4, B3, B2, B1, C1, D1. The supplied route ends at D1. It makes 5 one-cell moves; its 6 recorded positions include the initial position. It is legal inside this supplied grid.
R66 · Badge-guide quantities
Fictional quantity card set: Badge-guide quantities. First card states 108 labels; second card states 180 labels; third card states 810 labels. These are stated counts of the same kind of label, not observed stocks, money, distances or prices. The task is to represent, compare or order these stated quantities and give a checking reason.
Make a useful quantity guide. Keep the whole quantity and the value of each digit clear.
After-own staff possibility
108 = 1 hundred + 0 tens + 8 ones = 100 + 0 + 8. 180 = 1 hundred + 8 tens + 0 ones = 100 + 80 + 0. 810 = 8 hundreds + 1 ten + 0 ones = 800 + 10 + 0. Ascending order is 108, 180, 810. Compare the first differing place from the highest place, rather than the last digit alone.
R67 · Counts around six hundred
Fictional quantity card set: Counts around six hundred. First card states 590 labels; second card states 600 labels; third card states 610 labels. These are stated counts of the same kind of label, not observed stocks, money, distances or prices. The supplied number-line ticks 590,600,610,620 are equal ten-label intervals. The task is to represent, compare or order these stated quantities and give a checking reason.
Make a useful quantity guide. Keep the whole quantity and the value of each digit clear.
After-own staff possibility
590 = 5 hundreds + 9 tens + 0 ones = 500 + 90 + 0. 600 = 6 hundreds + 0 tens + 0 ones = 600 + 0 + 0. 610 = 6 hundreds + 1 ten + 0 ones = 600 + 10 + 0. Ascending order is 590, 600, 610. Compare the first differing place from the highest place, rather than the last digit alone. Use the supplied four equally spaced ticks labelled 590, 600, 610, 620. They bound three equal ten-label intervals. Place 590 at the first tick, 600 at the second and 610 at the third; 620 completes the scale. Moving one interval changes the count by ten labels, so positions and equal spacing support the comparison.
R68 · Another bundle identity
Fictional quantity card set: Another bundle identity. First card states 408 labels; second card states 480 labels; third card states 804 labels. These are stated counts of the same kind of label, not observed stocks, money, distances or prices. The supplied model 3 hundreds,10 tens,8 ones represents 408. The task is to represent, compare or order these stated quantities and give a checking reason.
Make a useful quantity guide. Keep the whole quantity and the value of each digit clear.
After-own staff possibility
408 = 4 hundreds + 0 tens + 8 ones = 400 + 0 + 8. 480 = 4 hundreds + 8 tens + 0 ones = 400 + 80 + 0. 804 = 8 hundreds + 0 tens + 4 ones = 800 + 0 + 4. Ascending order is 408, 480, 804. Compare the first differing place from the highest place, rather than the last digit alone. The supplied alternative is 408 = 3 hundreds + 10 tens + 8 ones = 300 + 100 + 8. Exchange ten tens for one hundred: 3 hundreds and 10 tens become 4 hundreds and 0 tens; keep all 8 ones. This gives the standard 4 hundreds, 0 tens and 8 ones. Both descriptions have the whole value 408. Keep the zero-ten label and verify every represented unit.
R69 · Check the final digit shortcut
Fictional quantity card set: Check the final digit shortcut. First card states 405 labels; second card states 450 labels; third card states 504 labels. These are stated counts of the same kind of label, not observed stocks, money, distances or prices. A helper claims 405 is larger than 450 because 5 is larger than 0. The task is to represent, compare or order these stated quantities and give a checking reason.
Make a useful quantity guide. Keep the whole quantity and the value of each digit clear.
After-own staff possibility
405 = 4 hundreds + 0 tens + 5 ones = 400 + 0 + 5. 450 = 4 hundreds + 5 tens + 0 ones = 400 + 50 + 0. 504 = 5 hundreds + 0 tens + 4 ones = 500 + 0 + 4. Ascending order is 405, 450, 504. Compare the first differing place from the highest place, rather than the last digit alone.
R70 · Reader-ready kit labels
Fictional quantity card set: Reader-ready kit labels. First card states 731 labels; second card states 713 labels; third card states 317 labels. These are stated counts of the same kind of label, not observed stocks, money, distances or prices. The task is to represent, compare or order these stated quantities and give a checking reason.
Make a useful quantity guide. Keep the whole quantity and the value of each digit clear.
After-own staff possibility
731 = 7 hundreds + 3 tens + 1 one = 700 + 30 + 1. 713 = 7 hundreds + 1 ten + 3 ones = 700 + 10 + 3. 317 = 3 hundreds + 1 ten + 7 ones = 300 + 10 + 7. Ascending order is 317, 713, 731. Compare the first differing place from the highest place, rather than the last digit alone.