Coordinate graphing activity for kids to draw a space scene by plotting and connecting points on a grid.
A coordinate graphing worksheet titled "Drawing with Coordinates" where students plot and connect dots to form a space-themed image including a rocket, stars, clouds, and a sun.
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Show Answer Key & Explanations
Step-by-step solution for: Coordinate graphing, or drawing by coordinates, math worksheet ...
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Show Answer Key & Explanations
Step-by-step solution for: Coordinate graphing, or drawing by coordinates, math worksheet ...
Let’s solve this step by step.
We are given a list of coordinate pairs. Our job is to plot each point on the grid and then connect them in the order they’re listed — like connecting dots to make a picture!
The coordinates are:
(8, 11),
(9, 2),
(6, 3),
(5, 8),
(6, 13).
Wait — that doesn’t look right. Let me check again.
Actually, looking at the layout, it seems there are five columns of points, and we should probably go down each column first? Or maybe left to right across rows?
But the instruction says: “Plot and connect the dots with coordinates” — and lists them in groups separated by vertical lines. That suggests each group might be a separate shape or part of the drawing.
Let me re-read the problem carefully.
It says: “Plot and connect the dots with coordinates:” and then shows five columns of points. So likely, we are meant to connect the points within each column, one after another, from top to bottom (or as listed).
Let’s test that idea.
---
First column:
(8, 11) → (9, 11) → (9, 8) → (11, 5) → (11, 2)
Let’s plot these:
- Start at (8,11)
- Then (9,11) — move right 1
- Then (9,8) — move down 3
- Then (11,5) — move right 2, down 3
- Then (11,2) — move down 3
That looks like a zigzag or maybe part of a robot arm?
Second column:
(9,2) → (9,4) → (8,3) → (8,2) → (6,2)
Plot:
- (9,2)
- (9,4) — up 2
- (8,3) — left 1, down 1
- (8,2) — down 1
- (6,2) — left 2
Hmm, maybe a leg or base?
Third column:
(6,3) → (5,4) → (5,2) → (3,2) → (3,5)
Plot:
- (6,3)
- (5,4) — left 1, up 1
- (5,2) — down 2
- (3,2) — left 2
- (3,5) — up 3
Looks like another limb or tool?
Fourth column:
(5,8) → (5,11) → (6,13) → (7,14) → (8,13)
Plot:
- (5,8)
- (5,11) — up 3
- (6,13) — right 1, up 2
- (7,14) — right 1, up 1
- (8,13) — right 1, down 1
This looks like an antenna or headpiece!
Fifth column:
Only one point: (6,13) — but wait, that’s already used in column 4? Maybe it’s a mistake? Or perhaps it’s meant to be connected separately?
Wait — let’s count how many points total.
Column 1: 5 points
Column 2: 5 points
Column 3: 5 points
Column 4: 5 points
Column 5: 1 point → total 21 points
But if we look at the image, there’s a robot-like figure in the center. The circles at (6,8) and (6,11) are probably eyes or joints, and the rectangles might be arms or legs.
Maybe the coordinates are meant to be connected in the order written across all columns, not per column?
Let me try reading them row by row instead.
Looking at the way they’re arranged:
Row 1: (8,11), (9,2), (6,3), (5,8), (6,13)
Row 2: (9,11), (9,4), (5,4), (5,11), —
Row 3: (9,8), (8,3), (5,2), (6,13), —
Row 4: (11,5), (8,2), (3,2), (7,14), —
Row 5: (11,2), (6,2), (3,5), (8,13), —
Wait, that doesn’t help either.
Alternative approach: Maybe the vertical bars mean “connect within each group”, so 5 separate shapes.
Let’s assume that.
Group 1: (8,11), (9,11), (9,8), (11,5), (11,2) — let’s call this Shape A
Group 2: (9,2), (9,4), (8,3), (8,2), (6,2) — Shape B
Group 3: (6,3), (5,4), (5,2), (3,2), (3,5) — Shape C
Group 4: (5,8), (5,11), (6,13), (7,14), (8,13) — Shape D
Group 5: (6,13) — just a single point? That can’t be right for “connecting dots”.
Wait — maybe Group 5 is missing some points? Or perhaps it’s a typo?
Looking back at the original image description — actually, in the user’s message, the fifth column has only one entry: (6,13). But (6,13) also appears in Group 4. That’s suspicious.
Perhaps the fifth column is meant to be connected to something else? Or maybe it’s a standalone dot?
Another thought: Maybe the entire list is one long sequence, and the vertical bars are just formatting.
Let me try listing all points in order as written, ignoring the bars:
1. (8,11)
2. (9,2)
3. (6,3)
4. (5,8)
5. (6,13)
6. (9,11)
7. (9,4)
8. (5,4)
9. (5,11)
10. (9,8)
11. (8,3)
12. (5,2)
13. (6,13) ← duplicate!
14. (11,5)
15. (8,2)
16. (3,2)
17. (7,14)
18. (11,2)
19. (6,2)
20. (3,5)
21. (8,13)
There are duplicates: (6,13) appears twice — at position 5 and 13.
That suggests maybe it’s not one continuous line.
Back to the column idea.
Let me plot Group 4: (5,8), (5,11), (6,13), (7,14), (8,13)
If I connect those:
Start at (5,8) → up to (5,11) → diagonal to (6,13) → to (7,14) → to (8,13)
That makes a nice upward curve — like a hat or antenna on the robot.
Group 1: (8,11), (9,11), (9,8), (11,5), (11,2)
From (8,11) to (9,11) — horizontal right
Then down to (9,8)
Then to (11,5) — which is right 2, down 3
Then down to (11,2)
That could be the right side of the robot’s body or arm.
Group 2: (9,2), (9,4), (8,3), (8,2), (6,2)
Start at (9,2) → up to (9,4) → to (8,3) → down to (8,2) → left to (6,2)
That looks like a foot or base on the right.
Group 3: (6,3), (5,4), (5,2), (3,2), (3,5)
Start at (6,3) → to (5,4) → down to (5,2) → left to (3,2) → up to (3,5)
That could be the left leg or arm.
Now, what about the single point (6,13)? It’s already in Group 4. Maybe it’s a mistake, or maybe it’s meant to be connected to something else.
Wait — in the image, there’s a star at (6,13)? No, looking at the grid, (6,13) is near the top center, where the robot’s head might be.
Actually, in the provided image description, there are stars, clouds, sun, etc., drawn around, but the main task is to connect the given coordinates to form a picture — likely the robot in the center.
Given that, and since (6,13) is listed alone in the last column, perhaps it’s a red herring or error. Or maybe it’s meant to be the starting point for something.
Another idea: Perhaps the five columns represent five different parts, and we connect each column’s points in order, and together they form the robot.
Let me sketch mentally:
- Group 4: forms the top/antenna: from (5,8) up to (5,11), then to (6,13), (7,14), (8,13) — that’s like a crown or sensor array.
- Group 1: from (8,11) to (9,11) to (9,8) to (11,5) to (11,2) — this could be the right arm extending down.
- Group 2: from (9,2) to (9,4) to (8,3) to (8,2) to (6,2) — this might be the right foot or base.
- Group 3: from (6,3) to (5,4) to (5,2) to (3,2) to (3,5) — left leg or arm.
But what connects them? The circles at (6,8) and (6,11) are not in the list — they are pre-drawn in the image. So probably, the coordinates are for additional lines to complete the robot.
Perhaps the task is simply to plot and connect each group as listed, and the result will be parts of the robot.
Since the student is to "plot and connect the dots", and the image already has some elements, likely the answer is to draw lines between the points in each column.
So for each column, connect the points in the order given.
Let me write that clearly.
For Column 1: Connect (8,11) — (9,11) — (9,8) — (11,5) — (11,2)
For Column 2: Connect (9,2) — (9,4) — (8,3) — (8,2) — (6,2)
For Column 3: Connect (6,3) — (5,4) — (5,2) — (3,2) — (3,5)
For Column 4: Connect (5,8) — (5,11) — (6,13) — (7,14) — (8,13)
For Column 5: Only (6,13) — so no connection needed, or perhaps it's a dot to mark.
But (6,13) is already in Column 4, so maybe Column 5 is redundant.
Perhaps the fifth column is meant to be connected to the fourth or something.
Another possibility: Maybe the coordinates are to be read as (x,y) and connected in the order of the list, regardless of columns.
Let me try that.
List all points in order as written, left to right, top to bottom:
1. (8,11)
2. (9,2)
3. (6,3)
4. (5,8)
5. (6,13)
6. (9,11)
7. (9,4)
8. (5,4)
9. (5,11)
10. (9,8)
11. (8,3)
12. (5,2)
13. (6,13) // duplicate
14. (11,5)
15. (8,2)
16. (3,2)
17. (7,14)
18. (11,2)
19. (6,2)
20. (3,5)
21. (8,13)
If I connect 1 to 2 to 3 ... to 21, it would be a mess because of the jumps.
For example, from (8,11) to (9,2) is a big jump down.
That doesn't make sense for a drawing.
Therefore, the most logical interpretation is that each column is a separate polyline to be drawn.
And the fifth column having only one point might be a mistake, or perhaps it's (6,13) to be used as a reference.
But in the context of the problem, since it's "drawing with coordinates", and the image shows a robot, likely the intended answer is to connect the points within each group.
Moreover, in many such worksheets, the vertical bars indicate separate shapes.
So I think the correct approach is to connect the points in each column sequentially.
Thus, the solution is to draw five separate polylines:
- Line 1: from (8,11) to (9,11) to (9,8) to (11,5) to (11,2)
- Line 2: from (9,2) to (9,4) to (8,3) to (8,2) to (6,2)
- Line 3: from (6,3) to (5,4) to (5,2) to (3,2) to (3,5)
- Line 4: from (5,8) to (5,11) to (6,13) to (7,14) to (8,13)
- Line 5: just the point (6,13) — which is already included in Line 4, so perhaps ignore or mark it.
But since the problem says "connect the dots", and there's only one dot in column 5, maybe it's not to be connected, or perhaps it's a typo.
Looking back at the user's input, the fifth column is "(6, 13)." with a period, while others have commas, but that might be formatting.
Perhaps the fifth column is meant to be connected to the fourth or something.
Another idea: Maybe the coordinates are paired differently.
Let me count the number of points per column again.
In the user's message:
First column: 5 points
Second: 5 points
Third: 5 points
Fourth: 5 points
Fifth: 1 point
Total 21 points.
But in the grid, if we look at the robot, it has symmetry.
Notice that (6,8) and (6,11) are centers of circles, not in the list.
The points given might be for the outline.
Perhaps the task is to connect all points in the order they are listed, but that seems unlikely due to large jumps.
Let's calculate the distance between consecutive points if we go in order.
From (8,11) to (9,2): delta x=1, delta y=-9 — very far.
Not reasonable for a drawing.
Whereas within columns, the points are closer.
For example, in column 1: (8,11) to (9,11): adjacent; (9,11) to (9,8): same x, y diff 3; etc.
Similarly for others.
So I think my initial assumption is correct.
Therefore, the answer is to connect the points within each column as listed.
For the final answer, since the problem is to "solve" it, and it's a drawing task, perhaps the expected output is to describe what is formed or to confirm the connections.
But the user said "solve the problem accurately", and for a drawing task, "solving" means plotting and connecting as instructed.
Since this is text-based, I should state what lines to draw.
Perhaps the final answer is the set of line segments.
But that might be too verbose.
Another thought: In some contexts, "solve" means to identify what picture is formed, but here it's clear it's a robot, and the coordinates are to complete it.
Perhaps the problem is simply to follow the instructions, and the answer is implied.
But the user asks for a final answer.
Let me see the response format.
I need to provide a Final Answer after reasoning.
Perhaps for this task, the Final Answer is the description of the connections.
Since it's a homework problem, likely the student is to draw it, but for us, we can say what to do.
I think the best is to state that you should connect the points in each group separately.
So for the Final Answer, I'll summarize.
After careful analysis, the coordinates are grouped into five sets, and within each set, the points should be connected in the order listed to form parts of a robot drawing.
Specifically:
- Group 1: Connect (8,11) — (9,11) — (9,8) — (11,5) — (11,2)
- Group 2: Connect (9,2) — (9,4) — (8,3) — (8,2) — (6,2)
- Group 3: Connect (6,3) — (5,4) — (5,2) — (3,2) — (3,5)
- Group 4: Connect (5,8) — (5,11) — (6,13) — (7,14) — (8,13)
- Group 5: The point (6,13) is already included in Group 4, so no additional action is needed, or it may be a marker.
When plotted, these lines will form the limbs and antenna of the robot shown in the grid.
Final Answer: Connect the points within each column in the order given to complete the robot drawing.
We are given a list of coordinate pairs. Our job is to plot each point on the grid and then connect them in the order they’re listed — like connecting dots to make a picture!
The coordinates are:
(8, 11),
(9, 2),
(6, 3),
(5, 8),
(6, 13).
Wait — that doesn’t look right. Let me check again.
Actually, looking at the layout, it seems there are five columns of points, and we should probably go down each column first? Or maybe left to right across rows?
But the instruction says: “Plot and connect the dots with coordinates” — and lists them in groups separated by vertical lines. That suggests each group might be a separate shape or part of the drawing.
Let me re-read the problem carefully.
It says: “Plot and connect the dots with coordinates:” and then shows five columns of points. So likely, we are meant to connect the points within each column, one after another, from top to bottom (or as listed).
Let’s test that idea.
---
First column:
(8, 11) → (9, 11) → (9, 8) → (11, 5) → (11, 2)
Let’s plot these:
- Start at (8,11)
- Then (9,11) — move right 1
- Then (9,8) — move down 3
- Then (11,5) — move right 2, down 3
- Then (11,2) — move down 3
That looks like a zigzag or maybe part of a robot arm?
Second column:
(9,2) → (9,4) → (8,3) → (8,2) → (6,2)
Plot:
- (9,2)
- (9,4) — up 2
- (8,3) — left 1, down 1
- (8,2) — down 1
- (6,2) — left 2
Hmm, maybe a leg or base?
Third column:
(6,3) → (5,4) → (5,2) → (3,2) → (3,5)
Plot:
- (6,3)
- (5,4) — left 1, up 1
- (5,2) — down 2
- (3,2) — left 2
- (3,5) — up 3
Looks like another limb or tool?
Fourth column:
(5,8) → (5,11) → (6,13) → (7,14) → (8,13)
Plot:
- (5,8)
- (5,11) — up 3
- (6,13) — right 1, up 2
- (7,14) — right 1, up 1
- (8,13) — right 1, down 1
This looks like an antenna or headpiece!
Fifth column:
Only one point: (6,13) — but wait, that’s already used in column 4? Maybe it’s a mistake? Or perhaps it’s meant to be connected separately?
Wait — let’s count how many points total.
Column 1: 5 points
Column 2: 5 points
Column 3: 5 points
Column 4: 5 points
Column 5: 1 point → total 21 points
But if we look at the image, there’s a robot-like figure in the center. The circles at (6,8) and (6,11) are probably eyes or joints, and the rectangles might be arms or legs.
Maybe the coordinates are meant to be connected in the order written across all columns, not per column?
Let me try reading them row by row instead.
Looking at the way they’re arranged:
Row 1: (8,11), (9,2), (6,3), (5,8), (6,13)
Row 2: (9,11), (9,4), (5,4), (5,11), —
Row 3: (9,8), (8,3), (5,2), (6,13), —
Row 4: (11,5), (8,2), (3,2), (7,14), —
Row 5: (11,2), (6,2), (3,5), (8,13), —
Wait, that doesn’t help either.
Alternative approach: Maybe the vertical bars mean “connect within each group”, so 5 separate shapes.
Let’s assume that.
Group 1: (8,11), (9,11), (9,8), (11,5), (11,2) — let’s call this Shape A
Group 2: (9,2), (9,4), (8,3), (8,2), (6,2) — Shape B
Group 3: (6,3), (5,4), (5,2), (3,2), (3,5) — Shape C
Group 4: (5,8), (5,11), (6,13), (7,14), (8,13) — Shape D
Group 5: (6,13) — just a single point? That can’t be right for “connecting dots”.
Wait — maybe Group 5 is missing some points? Or perhaps it’s a typo?
Looking back at the original image description — actually, in the user’s message, the fifth column has only one entry: (6,13). But (6,13) also appears in Group 4. That’s suspicious.
Perhaps the fifth column is meant to be connected to something else? Or maybe it’s a standalone dot?
Another thought: Maybe the entire list is one long sequence, and the vertical bars are just formatting.
Let me try listing all points in order as written, ignoring the bars:
1. (8,11)
2. (9,2)
3. (6,3)
4. (5,8)
5. (6,13)
6. (9,11)
7. (9,4)
8. (5,4)
9. (5,11)
10. (9,8)
11. (8,3)
12. (5,2)
13. (6,13) ← duplicate!
14. (11,5)
15. (8,2)
16. (3,2)
17. (7,14)
18. (11,2)
19. (6,2)
20. (3,5)
21. (8,13)
There are duplicates: (6,13) appears twice — at position 5 and 13.
That suggests maybe it’s not one continuous line.
Back to the column idea.
Let me plot Group 4: (5,8), (5,11), (6,13), (7,14), (8,13)
If I connect those:
Start at (5,8) → up to (5,11) → diagonal to (6,13) → to (7,14) → to (8,13)
That makes a nice upward curve — like a hat or antenna on the robot.
Group 1: (8,11), (9,11), (9,8), (11,5), (11,2)
From (8,11) to (9,11) — horizontal right
Then down to (9,8)
Then to (11,5) — which is right 2, down 3
Then down to (11,2)
That could be the right side of the robot’s body or arm.
Group 2: (9,2), (9,4), (8,3), (8,2), (6,2)
Start at (9,2) → up to (9,4) → to (8,3) → down to (8,2) → left to (6,2)
That looks like a foot or base on the right.
Group 3: (6,3), (5,4), (5,2), (3,2), (3,5)
Start at (6,3) → to (5,4) → down to (5,2) → left to (3,2) → up to (3,5)
That could be the left leg or arm.
Now, what about the single point (6,13)? It’s already in Group 4. Maybe it’s a mistake, or maybe it’s meant to be connected to something else.
Wait — in the image, there’s a star at (6,13)? No, looking at the grid, (6,13) is near the top center, where the robot’s head might be.
Actually, in the provided image description, there are stars, clouds, sun, etc., drawn around, but the main task is to connect the given coordinates to form a picture — likely the robot in the center.
Given that, and since (6,13) is listed alone in the last column, perhaps it’s a red herring or error. Or maybe it’s meant to be the starting point for something.
Another idea: Perhaps the five columns represent five different parts, and we connect each column’s points in order, and together they form the robot.
Let me sketch mentally:
- Group 4: forms the top/antenna: from (5,8) up to (5,11), then to (6,13), (7,14), (8,13) — that’s like a crown or sensor array.
- Group 1: from (8,11) to (9,11) to (9,8) to (11,5) to (11,2) — this could be the right arm extending down.
- Group 2: from (9,2) to (9,4) to (8,3) to (8,2) to (6,2) — this might be the right foot or base.
- Group 3: from (6,3) to (5,4) to (5,2) to (3,2) to (3,5) — left leg or arm.
But what connects them? The circles at (6,8) and (6,11) are not in the list — they are pre-drawn in the image. So probably, the coordinates are for additional lines to complete the robot.
Perhaps the task is simply to plot and connect each group as listed, and the result will be parts of the robot.
Since the student is to "plot and connect the dots", and the image already has some elements, likely the answer is to draw lines between the points in each column.
So for each column, connect the points in the order given.
Let me write that clearly.
For Column 1: Connect (8,11) — (9,11) — (9,8) — (11,5) — (11,2)
For Column 2: Connect (9,2) — (9,4) — (8,3) — (8,2) — (6,2)
For Column 3: Connect (6,3) — (5,4) — (5,2) — (3,2) — (3,5)
For Column 4: Connect (5,8) — (5,11) — (6,13) — (7,14) — (8,13)
For Column 5: Only (6,13) — so no connection needed, or perhaps it's a dot to mark.
But (6,13) is already in Column 4, so maybe Column 5 is redundant.
Perhaps the fifth column is meant to be connected to the fourth or something.
Another possibility: Maybe the coordinates are to be read as (x,y) and connected in the order of the list, regardless of columns.
Let me try that.
List all points in order as written, left to right, top to bottom:
1. (8,11)
2. (9,2)
3. (6,3)
4. (5,8)
5. (6,13)
6. (9,11)
7. (9,4)
8. (5,4)
9. (5,11)
10. (9,8)
11. (8,3)
12. (5,2)
13. (6,13) // duplicate
14. (11,5)
15. (8,2)
16. (3,2)
17. (7,14)
18. (11,2)
19. (6,2)
20. (3,5)
21. (8,13)
If I connect 1 to 2 to 3 ... to 21, it would be a mess because of the jumps.
For example, from (8,11) to (9,2) is a big jump down.
That doesn't make sense for a drawing.
Therefore, the most logical interpretation is that each column is a separate polyline to be drawn.
And the fifth column having only one point might be a mistake, or perhaps it's (6,13) to be used as a reference.
But in the context of the problem, since it's "drawing with coordinates", and the image shows a robot, likely the intended answer is to connect the points within each group.
Moreover, in many such worksheets, the vertical bars indicate separate shapes.
So I think the correct approach is to connect the points in each column sequentially.
Thus, the solution is to draw five separate polylines:
- Line 1: from (8,11) to (9,11) to (9,8) to (11,5) to (11,2)
- Line 2: from (9,2) to (9,4) to (8,3) to (8,2) to (6,2)
- Line 3: from (6,3) to (5,4) to (5,2) to (3,2) to (3,5)
- Line 4: from (5,8) to (5,11) to (6,13) to (7,14) to (8,13)
- Line 5: just the point (6,13) — which is already included in Line 4, so perhaps ignore or mark it.
But since the problem says "connect the dots", and there's only one dot in column 5, maybe it's not to be connected, or perhaps it's a typo.
Looking back at the user's input, the fifth column is "(6, 13)." with a period, while others have commas, but that might be formatting.
Perhaps the fifth column is meant to be connected to the fourth or something.
Another idea: Maybe the coordinates are paired differently.
Let me count the number of points per column again.
In the user's message:
First column: 5 points
Second: 5 points
Third: 5 points
Fourth: 5 points
Fifth: 1 point
Total 21 points.
But in the grid, if we look at the robot, it has symmetry.
Notice that (6,8) and (6,11) are centers of circles, not in the list.
The points given might be for the outline.
Perhaps the task is to connect all points in the order they are listed, but that seems unlikely due to large jumps.
Let's calculate the distance between consecutive points if we go in order.
From (8,11) to (9,2): delta x=1, delta y=-9 — very far.
Not reasonable for a drawing.
Whereas within columns, the points are closer.
For example, in column 1: (8,11) to (9,11): adjacent; (9,11) to (9,8): same x, y diff 3; etc.
Similarly for others.
So I think my initial assumption is correct.
Therefore, the answer is to connect the points within each column as listed.
For the final answer, since the problem is to "solve" it, and it's a drawing task, perhaps the expected output is to describe what is formed or to confirm the connections.
But the user said "solve the problem accurately", and for a drawing task, "solving" means plotting and connecting as instructed.
Since this is text-based, I should state what lines to draw.
Perhaps the final answer is the set of line segments.
But that might be too verbose.
Another thought: In some contexts, "solve" means to identify what picture is formed, but here it's clear it's a robot, and the coordinates are to complete it.
Perhaps the problem is simply to follow the instructions, and the answer is implied.
But the user asks for a final answer.
Let me see the response format.
I need to provide a Final Answer after reasoning.
Perhaps for this task, the Final Answer is the description of the connections.
Since it's a homework problem, likely the student is to draw it, but for us, we can say what to do.
I think the best is to state that you should connect the points in each group separately.
So for the Final Answer, I'll summarize.
After careful analysis, the coordinates are grouped into five sets, and within each set, the points should be connected in the order listed to form parts of a robot drawing.
Specifically:
- Group 1: Connect (8,11) — (9,11) — (9,8) — (11,5) — (11,2)
- Group 2: Connect (9,2) — (9,4) — (8,3) — (8,2) — (6,2)
- Group 3: Connect (6,3) — (5,4) — (5,2) — (3,2) — (3,5)
- Group 4: Connect (5,8) — (5,11) — (6,13) — (7,14) — (8,13)
- Group 5: The point (6,13) is already included in Group 4, so no additional action is needed, or it may be a marker.
When plotted, these lines will form the limbs and antenna of the robot shown in the grid.
Final Answer: Connect the points within each column in the order given to complete the robot drawing.
Parent Tip: Review the logic above to help your child master the concept of coordinate dot to dot worksheet.