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Plot coordinates on a grid to draw a dog with a bone.

A math worksheet titled "Drawing with Coordinates" where students plot and connect dots on a grid to reveal a hidden image of a dog holding a bone.

A math worksheet titled "Drawing with Coordinates" where students plot and connect dots on a grid to reveal a hidden image of a dog holding a bone.

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Show Answer Key & Explanations Step-by-step solution for: Coordinate Graphing, or Drawing by Coordinates, Math Worksheet ...
This is a "Drawing with Coordinates" activity where you are given a list of coordinate pairs, and your task is to plot each point on the grid, then connect them in order to reveal a hidden picture.

Let’s solve this step by step.

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🔍 Step 1: Understand the Task


You are given several sets of coordinates. You need to:
1. Plot each coordinate on the grid.
2. Connect the dots in order (from top to bottom within each column, and left to right across columns).
3. The result should form a shape or image.

We will go through each group of coordinates and see what they draw.

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📊 Coordinate Groups



There are 7 columns of coordinates:

#### Column 1:
(10,11), (10,9), (9,8), (8,8), (8,7), (9,7), (10,6), (10,5)

Plotting these:
- Starts at (10,11)
- Goes down to (10,9) → vertical line
- Then to (9,8), (8,8), (8,7), (9,7), (10,6), (10,5)

This looks like a vertical line with a zigzag — possibly part of a dog's tail or leg?

Wait — let's look more closely.

But notice: (10,11) → (10,9) → (9,8) → (8,8) → (8,7) → (9,7) → (10,6) → (10,5)

So it forms a zigzag down from (10,11) to (10,5), with a slight shift left and right.

This might be a tail or body.

But let’s check other columns.

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#### Column 2:
(12,3), (13,3), (13,5), (12,5), (12,7), (14,7), (14,3), (13,2)

Plot:
- (12,3) → (13,3): right
- (13,5): up
- (12,5): left
- (12,7): up
- (14,7): right
- (14,3): down
- (13,2): down-left

This looks like a rectangle with a top bar and bottom bar, but not quite.

Wait — actually, plotting:
- From (12,3) to (13,3) → right
- (13,5) → up
- (12,5) → left
- (12,7) → up
- (14,7) → right
- (14,3) → down
- (13,2) → down-left

Hmm — maybe a dog’s head or ear? Or perhaps a bone?

Wait — we already have a bone drawn in the circle! So maybe the full drawing is a dog chasing a bone?

But let's keep going.

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#### Column 3:
(12,2), (12,1), (6,1), (6,2), (8,2), (7,3), (5,3), (5,1)

This seems messy. Let's plot:
- (12,2) → (12,1): down
- (6,1): way left
- (6,2): up
- (8,2): right
- (7,3): up-right
- (5,3): left
- (5,1): down

This could be legs or feet.

But (6,1) and (6,2) suggest a vertical line, then (8,2) → (7,3) → (5,3) → (5,1)

Looks like a dog's legs or paw prints?

Wait — maybe this is the body?

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#### Column 4:
(3,1), (3,2), (4,2), (4,3), (3,4), (3,6), (4,7), (6,7)

Plot:
- (3,1) → (3,2): up
- (4,2): right
- (4,3): up
- (3,4): left
- (3,6): up
- (4,7): right
- (6,7): right

This is forming an L-shape, then a line to (6,7). Could be a dog's front leg or nose?

Wait — (3,1) to (3,6) is a vertical line, then (4,7) → (6,7) horizontal.

Maybe nose and snout?

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#### Column 5:
(6,8), (3,8), (3,11), (2,11), (2,10), (5,10), (5,11), (6,12)

Plot:
- (6,8) → (3,8): left
- (3,11): up
- (2,11): left
- (2,10): down
- (5,10): right
- (5,11): up
- (6,12): right-up

This is forming a rectangle-like shape, possibly an ear or eye?

Wait — (6,8) to (3,8): left
Then up to (3,11)
Left to (2,11)
Down to (2,10)
Right to (5,10)
Up to (5,11)
Right to (6,12)

This looks like a curved shape — maybe an eye?

But there's already a circular eye drawn at (6,10) area.

Wait — the eye shown is near (6,10), so maybe this is part of the face.

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#### Column 6:
(6,13), (5,13), (5,14), (7,14), (7,12), (9,12), (9,13), (8,13)

Plot:
- (6,13) → (5,13): left
- (5,14): up
- (7,14): right
- (7,12): down
- (9,12): right
- (9,13): up
- (8,13): left

This forms a rectangle or oval — possibly the top of the head?

(5,14) to (7,14): horizontal
(7,12) to (9,12): horizontal
(9,13) to (8,13): left

This looks like a semi-circle or arch — maybe the top of the dog's head?

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#### Column 7:
(8,14), (10,14), (10,11)

Plot:
- (8,14) → (10,14): right
- (10,11): down

This is just a horizontal line from (8,14) to (10,14), then down to (10,11)

But (10,11) is also the start of Column 1, so it connects back.

Ah! So the last point (10,11) is repeated at the end — meaning the shape closes.

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🔁 Now Let’s Look at the Full Picture



Let’s try to reconstruct the entire path.

Start with Column 1:
- (10,11) → (10,9) → (9,8) → (8,8) → (8,7) → (9,7) → (10,6) → (10,5)

That’s a zigzag down from (10,11) to (10,5), possibly a tail.

Now Column 2:
- (12,3) → (13,3) → (13,5) → (12,5) → (12,7) → (14,7) → (14,3) → (13,2)

This is a rectangular shape — like a square or box — but wait:

- (12,3) to (13,3) to (13,5) to (12,5) → that's a rectangle (12,3) to (13,5)
- Then (12,7) → (14,7) → (14,3) → (13,2)

Wait — this seems disconnected.

Wait — no, it's a continuous path.

So:
- (12,3) → (13,3) → (13,5) → (12,5) → (12,7) → (14,7) → (14,3) → (13,2)

From (12,7) to (14,7): right
Then (14,3): down
Then (13,2): left-down

This is forming a large "U" shape — like a dog's body?

But (14,3) to (13,2) — that’s diagonal.

Wait — maybe it’s a dog's back?

But let’s skip ahead.

Look at Column 4: (3,1), (3,2), (4,2), (4,3), (3,4), (3,6), (4,7), (6,7)

This is:
- (3,1) → (3,2) → (4,2) → (4,3) → (3,4) → (3,6) → (4,7) → (6,7)

This looks like a left-facing L, then a line to (6,7)

Possibly front leg?

But now consider Column 5: (6,8), (3,8), (3,11), (2,11), (2,10), (5,10), (5,11), (6,12)

- (6,8) → (3,8): left
- (3,11): up
- (2,11): left
- (2,10): down
- (5,10): right
- (5,11): up
- (6,12): right

This is forming a loop — like a dog's ear or head?

Wait — (2,11) to (2,10) to (5,10) to (5,11) — that's a rectangle
Then to (6,12) — up-right

And (6,8) to (3,8) — left

So from (6,8) to (3,8) to (3,11) to (2,11) to (2,10) to (5,10) to (5,11) to (6,12)

This is forming a curve — maybe the top of the head?

But then Column 6: (6,13), (5,13), (5,14), (7,14), (7,12), (9,12), (9,13), (8,13)

- (6,13) → (5,13) → (5,14) → (7,14) → (7,12) → (9,12) → (9,13) → (8,13)

This is a horizontal line at y=14 from x=5 to 7, then down to (7,12), right to (9,12), up to (9,13), left to (8,13)

This is forming a semi-circle — like a dog's head?

Wait — (5,14), (7,14) → horizontal
Then (7,12), (9,12) → horizontal
Then (9,13), (8,13) → left

So it's like a rectangle with a bump?

But (5,14) to (7,14) — top
(7,12) to (9,12) — bottom
(9,13) to (8,13) — left

This is forming a rounded top — like a dog's head?

But the final column:
- (8,14), (10,14), (10,11)

So from (8,14) → (10,14) → (10,11)

Which connects to the start of Column 1: (10,11)

So the last point connects back to the first — meaning the shape is closed.

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🧩 Putting It All Together



Let’s think about the entire path:

The coordinates are listed in columns, but likely meant to be plotted in order, column by column, top to bottom.

So the full path is:

1. Start at (10,11) → (10,9) → (9,8) → (8,8) → (8,7) → (9,7) → (10,6) → (10,5)
2. Then (12,3) → (13,3) → (13,5) → (12,5) → (12,7) → (14,7) → (14,3) → (13,2)
3. Then (12,2) → (12,1) → (6,1) → (6,2) → (8,2) → (7,3) → (5,3) → (5,1)
4. Then (3,1) → (3,2) → (4,2) → (4,3) → (3,4) → (3,6) → (4,7) → (6,7)
5. Then (6,8) → (3,8) → (3,11) → (2,11) → (2,10) → (5,10) → (5,11) → (6,12)
6. Then (6,13) → (5,13) → (5,14) → (7,14) → (7,12) → (9,12) → (9,13) → (8,13)
7. Then (8,14) → (10,14) → (10,11) ← back to start!

Now, when you connect all these in order, you get a dog shape.

Let’s interpret:

- (10,11) to (10,5): Tail (zigzag)
- (12,3) to (14,7): Back of dog?
- But wait — this is jumping around.

Actually, this is not a continuous path — the points are grouped into separate shapes.

But looking at the grid, there is already a dog's head drawn with an eye, a flower, and a bone.

Wait — the bone is shown in a speech bubble — so maybe the dog is dreaming of a bone?

But the coordinates are meant to draw the dog.

Let’s re-express the coordinates in order of plotting.

Perhaps the intended drawing is a dog with a bone, and the coordinates are for the dog's outline.

But looking at the existing drawings on the grid:
- A flower at (2,4) to (3,5)
- A dog's eye at (6,10)
- A bone in a thought bubble
- Two curves — maybe ears?

But the coordinates are meant to be plotted and connected to form the dog.

Let’s try plotting the first few points:

Start: (10,11)
→ (10,9)
→ (9,8)
→ (8,8)
→ (8,7)
→ (9,7)
→ (10,6)
→ (10,5)

This is a zigzag down — like a tail.

Then next: (12,3)
→ (13,3)
→ (13,5)
→ (12,5)
→ (12,7)
→ (14,7)
→ (14,3)
→ (13,2)

This is a square from (12,3) to (13,5) to (12,5) — that’s a rectangle, then (12,7) to (14,7) — horizontal, then down to (14,3), then to (13,2)

This is forming a large "U" — maybe the body?

But (14,3) to (13,2) — that’s diagonal.

Then next: (12,2) → (12,1) → (6,1) → (6,2) → (8,2) → (7,3) → (5,3) → (5,1)

This jumps from (13,2) to (12,2) — close, then to (12,1), then suddenly to (6,1) — far left.

This suggests multiple separate shapes.

Wait — perhaps the columns are separate parts?

But the instruction says: “Plot and connect the dots with coordinates” — implying one continuous drawing.

But the coordinates are grouped in columns — likely each column is a segment.

Alternatively, perhaps the entire list is to be plotted in order, reading left to right, top to bottom.

So the sequence is:

1. (10,11)
2. (10,9)
3. (9,8)
4. (8,8)
5. (8,7)
6. (9,7)
7. (10,6)
8. (10,5)
9. (12,3)
10. (13,3)
11. (13,5)
12. (12,5)
13. (12,7)
14. (14,7)
15. (14,3)
16. (13,2)
17. (12,2)
18. (12,1)
19. (6,1)
20. (6,2)
21. (8,2)
22. (7,3)
23. (5,3)
24. (5,1)
25. (3,1)
26. (3,2)
27. (4,2)
28. (4,3)
29. (3,4)
30. (3,6)
31. (4,7)
32. (6,7)
33. (6,8)
34. (3,8)
35. (3,11)
36. (2,11)
37. (2,10)
38. (5,10)
39. (5,11)
40. (6,12)
41. (6,13)
42. (5,13)
43. (5,14)
44. (7,14)
45. (7,12)
46. (9,12)
47. (9,13)
48. (8,13)
49. (8,14)
50. (10,14)
51. (10,11) ← back to start!

Ah! Now it makes sense.

When you plot and connect all these points in order, you get a closed shape — a dog.

Let’s trace it:

- Starts at (10,11) — near the top right
- Moves down to (10,5) — tail
- Then to (12,3) — body?
- But (12,3) to (13,3) to (13,5) to (12,5) — this is a rectangle — maybe back of dog
- Then (12,7) to (14,7) — back
- Then (14,3) — down
- (13,2) — down-left
- (12,2) — left
- (12,1) — down
- (6,1) — far left — front leg?
- (6,2) — up
- (8,2) — right
- (7,3) — up
- (5,3) — left
- (5,1) — down — front leg?
- (3,1) — left
- (3,2) — up
- (4,2) — right
- (4,3) — up
- (3,4) — left
- (3,6) — up
- (4,7) — right
- (6,7) — right
- (6,8) — up
- (3,8) — left
- (3,11) — up
- (2,11) — left
- (2,10) — down
- (5,10) — right
- (5,11) — up
- (6,12) — right
- (6,13) — up
- (5,13) — left
- (5,14) — up
- (7,14) — right
- (7,12) — down
- (9,12) — right
- (9,13) — up
- (8,13) — left
- (8,14) — up
- (10,14) — right
- (10,11) — down — back to start

Now, if you visualize this, it forms a dog:

- Head: (5,14) to (7,14) to (7,12) to (9,12) to (9,13) to (8,13) to (8,14) — this is a rounded top — like a head
- Ear: (5,13) to (5,14) to (7,14) — maybe an ear?
- Body: from (6,12) to (6,8) to (3,8) to (3,11) to (2,11) to (2,10) to (5,10) — this is the neck and chest
- Front legs: (5,10) to (5,3) to (6,1) — etc.
- Back legs: (12,3) to (13,3) to (13,5) to (12,5) to (12,7) to (14,7) — back
- Tail: (10,11) to (10,5) — down

And finally, it closes at (10,11).

So the final shape is a dog.

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Final Answer:



When you plot and connect all the given coordinates in order, starting from (10,11) and ending at (10,11), you will draw a dog.

The dog has:
- A rounded head with ears
- A body
- Front and back legs
- A tail

The thought bubble with a bone suggests the dog is thinking about a treat.

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🎯 Solution Summary:



1. Plot each coordinate on the grid.
2. Connect them in order as listed.
3. The resulting shape is a dog.
4. The last point (10,11) connects back to the first point, closing the shape.

This is a fun coordinate geometry activity that teaches plotting and connecting points to create pictures.

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Would you like me to generate a visual sketch or describe how to draw it step-by-step?
Parent Tip: Review the logic above to help your child master the concept of graphing connect the dots.
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