ReasoningAges 7-9

Coordinate grid displacement

Track east and north steps from the origin (0, 0) to determine the final grid coordinates. Review suitability for your learners before teaching.

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Worksheet StudioPractice pack · Ages 7-9

Coordinate grid displacement

Take your time. Show your thinking.

1. A robot starts at (0, 0) on a coordinate grid. It moves 9 units East (+x) and 8 units North (+y). What are its new coordinates?
0 · 0 · 9 · 8 · Coordinate grid displacement
2. A robot starts at (0, 0) on a coordinate grid. It moves 5 units East (+x) and 7 units North (+y). What are its new coordinates?
0 · 0 · 5 · 7 · Coordinate grid displacement
3. A robot starts at (0, 0) on a coordinate grid. It moves 8 units East (+x) and 12 units North (+y). What are its new coordinates?
0 · 0 · 8 · 12 · Coordinate grid displacement
4. A robot starts at (0, 0) on a coordinate grid. It moves 9 units East (+x) and 9 units North (+y). What are its new coordinates?
0 · 0 · 9 · 9 · Coordinate grid displacement
5. A robot starts at (0, 0) on a coordinate grid. It moves 6 units East (+x) and 7 units North (+y). What are its new coordinates?
0 · 0 · 6 · 7 · Coordinate grid displacement
6. A robot starts at (0, 0) on a coordinate grid. It moves 10 units East (+x) and 2 units North (+y). What are its new coordinates?
0 · 0 · 10 · 2 · Coordinate grid displacement
7. A robot starts at (0, 0) on a coordinate grid. It moves 10 units East (+x) and 12 units North (+y). What are its new coordinates?
0 · 0 · 10 · 12 · Coordinate grid displacement
8. A robot starts at (0, 0) on a coordinate grid. It moves 8 units East (+x) and 11 units North (+y). What are its new coordinates?
0 · 0 · 8 · 11 · Coordinate grid displacement
9. A robot starts at (0, 0) on a coordinate grid. It moves 12 units East (+x) and 2 units North (+y). What are its new coordinates?
0 · 0 · 12 · 2 · Coordinate grid displacement
10. A robot starts at (0, 0) on a coordinate grid. It moves 8 units East (+x) and 8 units North (+y). What are its new coordinates?
0 · 0 · 8 · 8 · Coordinate grid displacement
11. A robot starts at (0, 0) on a coordinate grid. It moves 8 units East (+x) and 3 units North (+y). What are its new coordinates?
0 · 0 · 8 · 3 · Coordinate grid displacement
12. A robot starts at (0, 0) on a coordinate grid. It moves 1 units East (+x) and 8 units North (+y). What are its new coordinates?
0 · 0 · 1 · 8 · Coordinate grid displacement

12 questions · Seed 99 · Age guidance, not curriculum certification

View the answer key

Worksheet StudioAnswer key · Ages 7-9

Coordinate grid displacement

Answers and reasoning. Review before teaching.

1. A robot starts at (0, 0) on a coordinate grid. It moves 9 units East (+x) and 8 units North (+y). What are its new coordinates?
(9, 8)
Moving 9 units East gives x = 9 and 8 units North gives y = 8, reaching (9, 8).
2. A robot starts at (0, 0) on a coordinate grid. It moves 5 units East (+x) and 7 units North (+y). What are its new coordinates?
(5, 7)
Moving 5 units East gives x = 5 and 7 units North gives y = 7, reaching (5, 7).
3. A robot starts at (0, 0) on a coordinate grid. It moves 8 units East (+x) and 12 units North (+y). What are its new coordinates?
(8, 12)
Moving 8 units East gives x = 8 and 12 units North gives y = 12, reaching (8, 12).
4. A robot starts at (0, 0) on a coordinate grid. It moves 9 units East (+x) and 9 units North (+y). What are its new coordinates?
(9, 9)
Moving 9 units East gives x = 9 and 9 units North gives y = 9, reaching (9, 9).
5. A robot starts at (0, 0) on a coordinate grid. It moves 6 units East (+x) and 7 units North (+y). What are its new coordinates?
(6, 7)
Moving 6 units East gives x = 6 and 7 units North gives y = 7, reaching (6, 7).
6. A robot starts at (0, 0) on a coordinate grid. It moves 10 units East (+x) and 2 units North (+y). What are its new coordinates?
(10, 2)
Moving 10 units East gives x = 10 and 2 units North gives y = 2, reaching (10, 2).
7. A robot starts at (0, 0) on a coordinate grid. It moves 10 units East (+x) and 12 units North (+y). What are its new coordinates?
(10, 12)
Moving 10 units East gives x = 10 and 12 units North gives y = 12, reaching (10, 12).
8. A robot starts at (0, 0) on a coordinate grid. It moves 8 units East (+x) and 11 units North (+y). What are its new coordinates?
(8, 11)
Moving 8 units East gives x = 8 and 11 units North gives y = 11, reaching (8, 11).
9. A robot starts at (0, 0) on a coordinate grid. It moves 12 units East (+x) and 2 units North (+y). What are its new coordinates?
(12, 2)
Moving 12 units East gives x = 12 and 2 units North gives y = 2, reaching (12, 2).
10. A robot starts at (0, 0) on a coordinate grid. It moves 8 units East (+x) and 8 units North (+y). What are its new coordinates?
(8, 8)
Moving 8 units East gives x = 8 and 8 units North gives y = 8, reaching (8, 8).
11. A robot starts at (0, 0) on a coordinate grid. It moves 8 units East (+x) and 3 units North (+y). What are its new coordinates?
(8, 3)
Moving 8 units East gives x = 8 and 3 units North gives y = 3, reaching (8, 3).
12. A robot starts at (0, 0) on a coordinate grid. It moves 1 units East (+x) and 8 units North (+y). What are its new coordinates?
(1, 8)
Moving 1 units East gives x = 1 and 8 units North gives y = 8, reaching (1, 8).

12 questions · Seed 99 · Age guidance, not curriculum certification

Worksheet StudioPractice pack · Ages 7-9

Coordinate grid displacement

Take your time. Show your thinking.

1. A robot starts at (0, 0) on a coordinate grid. It moves 9 units East (+x) and 8 units North (+y). What are its new coordinates?
0 · 0 · 9 · 8 · Coordinate grid displacement
2. A robot starts at (0, 0) on a coordinate grid. It moves 5 units East (+x) and 7 units North (+y). What are its new coordinates?
0 · 0 · 5 · 7 · Coordinate grid displacement
3. A robot starts at (0, 0) on a coordinate grid. It moves 8 units East (+x) and 12 units North (+y). What are its new coordinates?
0 · 0 · 8 · 12 · Coordinate grid displacement
4. A robot starts at (0, 0) on a coordinate grid. It moves 9 units East (+x) and 9 units North (+y). What are its new coordinates?
0 · 0 · 9 · 9 · Coordinate grid displacement
5. A robot starts at (0, 0) on a coordinate grid. It moves 6 units East (+x) and 7 units North (+y). What are its new coordinates?
0 · 0 · 6 · 7 · Coordinate grid displacement
6. A robot starts at (0, 0) on a coordinate grid. It moves 10 units East (+x) and 2 units North (+y). What are its new coordinates?
0 · 0 · 10 · 2 · Coordinate grid displacement
7. A robot starts at (0, 0) on a coordinate grid. It moves 10 units East (+x) and 12 units North (+y). What are its new coordinates?
0 · 0 · 10 · 12 · Coordinate grid displacement
8. A robot starts at (0, 0) on a coordinate grid. It moves 8 units East (+x) and 11 units North (+y). What are its new coordinates?
0 · 0 · 8 · 11 · Coordinate grid displacement
9. A robot starts at (0, 0) on a coordinate grid. It moves 12 units East (+x) and 2 units North (+y). What are its new coordinates?
0 · 0 · 12 · 2 · Coordinate grid displacement
10. A robot starts at (0, 0) on a coordinate grid. It moves 8 units East (+x) and 8 units North (+y). What are its new coordinates?
0 · 0 · 8 · 8 · Coordinate grid displacement
11. A robot starts at (0, 0) on a coordinate grid. It moves 8 units East (+x) and 3 units North (+y). What are its new coordinates?
0 · 0 · 8 · 3 · Coordinate grid displacement
12. A robot starts at (0, 0) on a coordinate grid. It moves 1 units East (+x) and 8 units North (+y). What are its new coordinates?
0 · 0 · 1 · 8 · Coordinate grid displacement

12 questions · Seed 99 · Age guidance, not curriculum certification

Worksheet StudioAnswer key · Ages 7-9

Coordinate grid displacement

Answers and reasoning. Review before teaching.

1. A robot starts at (0, 0) on a coordinate grid. It moves 9 units East (+x) and 8 units North (+y). What are its new coordinates?
(9, 8)
Moving 9 units East gives x = 9 and 8 units North gives y = 8, reaching (9, 8).
2. A robot starts at (0, 0) on a coordinate grid. It moves 5 units East (+x) and 7 units North (+y). What are its new coordinates?
(5, 7)
Moving 5 units East gives x = 5 and 7 units North gives y = 7, reaching (5, 7).
3. A robot starts at (0, 0) on a coordinate grid. It moves 8 units East (+x) and 12 units North (+y). What are its new coordinates?
(8, 12)
Moving 8 units East gives x = 8 and 12 units North gives y = 12, reaching (8, 12).
4. A robot starts at (0, 0) on a coordinate grid. It moves 9 units East (+x) and 9 units North (+y). What are its new coordinates?
(9, 9)
Moving 9 units East gives x = 9 and 9 units North gives y = 9, reaching (9, 9).
5. A robot starts at (0, 0) on a coordinate grid. It moves 6 units East (+x) and 7 units North (+y). What are its new coordinates?
(6, 7)
Moving 6 units East gives x = 6 and 7 units North gives y = 7, reaching (6, 7).
6. A robot starts at (0, 0) on a coordinate grid. It moves 10 units East (+x) and 2 units North (+y). What are its new coordinates?
(10, 2)
Moving 10 units East gives x = 10 and 2 units North gives y = 2, reaching (10, 2).
7. A robot starts at (0, 0) on a coordinate grid. It moves 10 units East (+x) and 12 units North (+y). What are its new coordinates?
(10, 12)
Moving 10 units East gives x = 10 and 12 units North gives y = 12, reaching (10, 12).
8. A robot starts at (0, 0) on a coordinate grid. It moves 8 units East (+x) and 11 units North (+y). What are its new coordinates?
(8, 11)
Moving 8 units East gives x = 8 and 11 units North gives y = 11, reaching (8, 11).
9. A robot starts at (0, 0) on a coordinate grid. It moves 12 units East (+x) and 2 units North (+y). What are its new coordinates?
(12, 2)
Moving 12 units East gives x = 12 and 2 units North gives y = 2, reaching (12, 2).
10. A robot starts at (0, 0) on a coordinate grid. It moves 8 units East (+x) and 8 units North (+y). What are its new coordinates?
(8, 8)
Moving 8 units East gives x = 8 and 8 units North gives y = 8, reaching (8, 8).
11. A robot starts at (0, 0) on a coordinate grid. It moves 8 units East (+x) and 3 units North (+y). What are its new coordinates?
(8, 3)
Moving 8 units East gives x = 8 and 3 units North gives y = 3, reaching (8, 3).
12. A robot starts at (0, 0) on a coordinate grid. It moves 1 units East (+x) and 8 units North (+y). What are its new coordinates?
(1, 8)
Moving 1 units East gives x = 1 and 8 units North gives y = 8, reaching (1, 8).

12 questions · Seed 99 · Age guidance, not curriculum certification