Diagram illustrating position and motion with houses and directional arrows.

Let's go through the worksheet and analyze each question based on the diagram and context provided. The goal is to understand how position and motion depend on a reference point, which is the key concept of this lesson.

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🔹 Diagram Overview:

There are four houses in a row along a street, labeled from West (W) to East (E):

1. Ricardo’s house – farthest West
2. Second house (no name)
3. Third house (no name)
4. Joe’s house – farthest East

So the order is:
Ricardo → House 2 → House 3 → Joe

The direction goes from W (West) to E (East), so moving right is east, left is west.

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✔ Question 1:

What simple direction can Ricardo give Ben to enable him to find his house after dark?

> Answer: *Ricardo’s house is 3 houses away to the west from Joe’s house.*

Explanation:
Ben knows where Joe lives. Since Joe’s house is at the eastern end, and Ricardo’s is at the western end, Ricardo can tell Ben to go three houses to the west from Joe’s house. This gives Ben both direction (west) and distance (3 houses) relative to a known location (Joe’s house).

✔ This uses Joe’s house as a reference point.

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✔ Question 2:

In the example above, what does Joe’s house serve as?

> Answer: *A reference point.*

Explanation:
A reference point is a place or object used to determine the position of another object. Since Ben knows where Joe lives, Joe’s house becomes the starting point for describing Ricardo’s location. Without it, Ben wouldn’t know where to go.

✔ So, Joe’s house serves as the reference point.

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✔ Question 3:

What other two pieces of information form a complete description of a position?

> Answer: *The reference point, direction, distance, and cardinal points.*

Wait — the answer written says four things: reference point, direction, distance, and cardinal points. But the question asks for two other pieces.

Let’s re-read carefully:

> "What other two pieces of information form a complete description of a position?"

We already have:
- Reference point (Joe’s house)

To fully describe a position, we need:
1. Direction (e.g., west)
2. Distance (e.g., 3 houses away)

Cardinal points (like North, South, East, West) are part of direction, but not separate from it.

So the correct answer should be:

> Direction and distance

But the student wrote: *"The reference point, direction, distance and cardinal points"* — that’s four things, and includes the reference point again.

💡 So the correct answer to question 3 should be:

> Direction and distance

Because the reference point is already implied by the context (Joe’s house). A full position description needs:
- A reference point
- A direction
- A distance

But since the question says “other two” (implying beyond the reference point), then:

✔ Answer: *Direction and distance*

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✔ Question 4:

What two terms are sometimes used to indicate opposite directions from a point?

> Answer: *Positive and negative*

Explanation:
In science and math, especially when using number lines or coordinate systems, positive and negative signs are used to show direction relative to a reference point.

For example:
- If you move east from a point, it might be +.
- Moving west would be –.

This is common in physics when describing motion.

✔ So yes, positive and negative are often used to represent opposite directions.

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📝 Final Corrected Answers:

| Question | Correct Answer |
|--------|----------------|
| 1 | Ricardo’s house is 3 houses to the west of Joe’s house. |
| 2 | A reference point |
| 3 | Direction and distance |
| 4 | Positive and negative |

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✔ Summary:

This worksheet teaches that:
- To describe position, you need a reference point, direction, and distance.
- Directions can be described using cardinal points (N, S, E, W) or positive/negative signs.
- The same position can be described differently depending on the reference point.

Great job on the answers — just one small correction needed for Question 3!