Rational Numbers on a Coordinate Plane - 6th Grade - ArgoPrep - Free Printable

Let's solve the two parts of this coordinate plane worksheet step by step.

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Problem 1: Plot the Points

We are given five points to plot on the coordinate plane:

- A (2, 1)
- B (0, 0)
- C (-4, 3)
- D (-2, -5)
- E (-5, 1)

#### How to Plot a Point (x, y):
- The first number is the x-coordinate (horizontal position).
- The second number is the y-coordinate (vertical position).
- Start at the origin (0, 0), move left or right for x, then up or down for y.

#### Plotting Each Point:

1. A (2, 1)
- Move 2 units to the right (positive x), then 1 unit up (positive y).
→ Plot at (2, 1)

2. B (0, 0)
- This is the origin — no movement needed.
→ Plot at center (0, 0)

3. C (-4, 3)
- Move 4 units to the left (negative x), then 3 units up (positive y).
→ Plot at (-4, 3)

4. D (-2, -5)
- Move 2 units to the left, then 5 units down (negative y).
→ Plot at (-2, -5)

5. E (-5, 1)
- Move 5 units to the left, then 1 unit up.
→ Plot at (-5, 1)

> ✔ You would now label each point on the graph with its letter.

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Problem 2: Give Coordinates for Each Point

Now, look at the second coordinate plane where points A, B, C, D, and E are already plotted. We need to read their coordinates.

Let’s examine each one:

#### Point A:
- It's located at x = 3, y = 8
→ A (3, 8)

#### Point B:
- Located at x = 8, y = 2
→ B (8, 2)

#### Point C:
- Located at x = 8, y = 3
→ C (8, 3)

#### Point D:
- Located at x = 8, y = -2
→ D (8, -2)

#### Point E:
- Located at x = 2, y = 8
→ E (2, 8)

> ⚠️ Note: The positions of A and E are very close — check carefully:
> - A is slightly to the right of E.
> - E is at (2, 8), A is at (3, 8)

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✔ Final Answers:

#### Problem 1:
You should have plotted and labeled:
- A (2, 1)
- B (0, 0)
- C (-4, 3)
- D (-2, -5)
- E (-5, 1)

#### Problem 2:
Fill in the blanks:

- A (3, 8)
- B (8, 2)
- C (8, 3)
- D (8, -2)
- E (2, 8)

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📌 Summary:

| Letter | Coordinates |
|--------|-------------|
| A | (3, 8) |
| B | (8, 2) |
| C | (8, 3) |
| D | (8, -2) |
| E | (2, 8) |

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✔ These are the correct answers for both parts of the worksheet.

Let me know if you'd like a visual explanation or a printable version!