Problem Description:
The task involves matching contour maps (topographic maps) on the left with their corresponding side views of mountain ranges on the right. Contour lines represent elevation changes on a map, and the goal is to understand how these lines translate into three-dimensional shapes.
Solution Approach:
1.
Understanding Contour Lines:
- Contour lines connect points of equal elevation.
- Closely spaced contour lines indicate steep slopes.
- Widely spaced contour lines indicate gentle slopes.
- Closed loops of contour lines represent hills or mountains, with the highest point inside the smallest loop.
2.
Analyzing Each Contour Map:
- Examine the spacing, shape, and arrangement of the contour lines for each map.
- Determine the overall shape of the terrain based on the contour patterns.
3.
Matching with Side Views:
- Compare the inferred three-dimensional shape from the contour map with the side views provided.
- Identify which side view matches the elevation and slope characteristics of the contour map.
Step-by-Step Matching:
####
Contour Map 1:
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Description: The contour lines form a single, tight loop, indicating a single peak with steep sides.
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Side View Match: The side view should show a sharp, pointed peak.
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Match: Side View 1.
####
Contour Map 2:
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Description: The contour lines form two separate loops, suggesting two distinct peaks.
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Side View Match: The side view should show two separate peaks.
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Match: Side View 2.
####
Contour Map 3:
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Description: The contour lines are widely spaced and form a smooth, elongated shape, indicating a gentle slope.
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Side View Match: The side view should show a broad, flat-topped mountain.
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Match: Side View 3.
####
Contour Map 4:
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Description: The contour lines form a series of concentric loops, indicating a tall, steep-sided mountain.
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Side View Match: The side view should show a tall, steep peak.
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Match: Side View 4.
####
Contour Map 5:
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Description: The contour lines form a single, wide loop with a small inner loop, indicating a broad mountain with a smaller peak on top.
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Side View Match: The side view should show a broad base with a smaller peak.
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Match: Side View 5.
Final Answer:
- Contour Map 1 → Side View 1
- Contour Map 2 → Side View 2
- Contour Map 3 → Side View 3
- Contour Map 4 → Side View 4
- Contour Map 5 → Side View 5
$$
\boxed{1-1, 2-2, 3-3, 4-4, 5-5}
$$
Parent Tip: Review the logic above to help your child master the concept of contour lines worksheet.