Grade 5 Geometry Worksheets: Plotting points on a coordinate grid ... - Free Printable

Let's solve the problem step by step.

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Task:

Plot the given points on a coordinate grid (4 quadrants).

We are given 12 points labeled from A to L, each with an (x, y) coordinate. We need to plot them on a Cartesian coordinate plane that includes all four quadrants.

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Understanding the Coordinate System

- The coordinate plane has two axes:
- X-axis: horizontal (left/right)
- Y-axis: vertical (up/down)
- The point where they intersect is the origin (0, 0).
- The plane is divided into four quadrants:
- Quadrant I: (+, +) → right and up
- Quadrant II: (−, +) → left and up
- Quadrant III: (−, −) → left and down
- Quadrant IV: (+, −) → right and down

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Given Points:

| Point | Coordinates |
|-------|-------------|
| A | (−6, 3) |
| B | (−3, −3) |
| C | (−1, 9) |
| D | (6, −10) |
| E | (3, 4) |
| F | (−4, −2) |
| G | (−2, 1) |
| H | (7, −8) |
| I | (7, −2) |
| J | (−9, 2) |
| K | (4, 7) |
| L | (8, −1) |

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Step-by-step Plotting Instructions:

For each point:

1. Start at the origin (0,0).
2. Move horizontally according to the x-coordinate:
- Positive x → move right
- Negative x → move left
3. Then move vertically according to the y-coordinate:
- Positive y → move up
- Negative y → move down
4. Mark the point.

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Detailed Breakdown:

#### A = (−6, 3)
- Move 6 units left, then 3 units up → Quadrant II

#### B = (−3, −3)
- Move 3 units left, then 3 units down → Quadrant III

#### C = (−1, 9)
- Move 1 unit left, then 9 units up → Quadrant II

#### D = (6, −10)
- Move 6 units right, then 10 units down → Quadrant IV
*(Note: Grid only shows y-axis up to 10, so this point will be just below the bottom edge)*

#### E = (3, 4)
- Move 3 units right, then 4 units up → Quadrant I

#### F = (−4, −2)
- Move 4 units left, then 2 units down → Quadrant III

#### G = (−2, 1)
- Move 2 units left, then 1 unit up → Quadrant II

#### H = (7, −8)
- Move 7 units right, then 8 units down → Quadrant IV

#### I = (7, −2)
- Move 7 units right, then 2 units down → Quadrant IV

#### J = (−9, 2)
- Move 9 units left, then 2 units up → Quadrant II
*(Note: x = −9 is beyond the left edge of the grid shown; it’s off-grid to the left)*

#### K = (4, 7)
- Move 4 units right, then 7 units up → Quadrant I

#### L = (8, −1)
- Move 8 units right, then 1 unit down → Quadrant IV

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Summary of Quadrants:

| Point | Quadrant |
|-------|----------|
| A | II |
| B | III |
| C | II |
| D | IV |
| E | I |
| F | III |
| G | II |
| H | IV |
| I | IV |
| J | II |
| K | I |
| L | IV |

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Final Answer:

You would now plot each of these points on the provided coordinate grid by following the directions above.

> ⚠️ Note: Some points like D (6, −10) and J (−9, 2) lie outside the visible grid range (since the grid shows x from −10 to 10 and y from −10 to 10). However, D is at y = −10, which is on the bottom edge, and J is at x = −9, which is within the x-range (since x goes from −10 to 10). So both can be plotted.

- D = (6, −10) → On the bottom edge, 6 units right from origin.
- J = (−9, 2) → 9 units left, 2 units up → within bounds.

✔ All points can be plotted on the grid.

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✔ Conclusion:

To complete the worksheet:
- Use the coordinate grid provided.
- For each point, locate the x-value first (left/right), then the y-value (up/down).
- Mark each point clearly with its letter.

This exercise helps reinforce understanding of the coordinate plane and how to interpret ordered pairs in all four quadrants.

Let me know if you'd like a visual sketch or explanation of any specific point!