Worksheet on seafloor spreading and plate tectonics, including historical context and calculation exercises.
A worksheet titled "Seafloor Spreading" from Math Connections, featuring text about Alfred Wegener's theory of continental drift and Harry Hess's discovery of the Mid-Atlantic Ridge, with questions about map scale and distance calculations.
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Show Answer Key & Explanations
Step-by-step solution for: Seafloor Spreading Math Connections
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Show Answer Key & Explanations
Step-by-step solution for: Seafloor Spreading Math Connections
Let’s solve this step by step.
First, we need to understand what the problem is asking. We’re told to refer to a map on Page 3 (which we don’t have), but since this is a worksheet and you’ve shared only page 1, I’ll assume that in your actual assignment, you have access to the map titled “Spreading at Mid-Ocean Ridge Between African and North America Plates” on Page 3.
Since I can’t see the map, I’ll explain exactly how YOU should solve it — using the instructions given on this page.
---
Question 1 asks: What is the map scale?
On most maps, the scale is shown as a bar or written like “1 cm = X km”. Look at the bottom or side of the map on Page 3. It might say something like:
> “Scale: 1 cm = 500 km”
or show a line labeled with distances.
👉 Write down whatever the map says for the scale. For example, if it says “1 cm = 400 km”, then your answer to Question 1 is:
The map scale is 1 cm = 400 km.
*(Note: Since I don’t have the map, I’ll use an example value for demonstration. In your real work, use the actual number from your map.)*
Let’s pretend the map scale is:
1 cm = 500 km
We’ll use this for Question 2.
---
Question 2 gives you a table and tells you to measure distances between points using a ruler (in centimeters), then multiply by the map scale to get kilometers.
Formula given:
Distance in kilometers = Distance in cm × Map scale in cm/km
Wait — actually, let’s read that again carefully.
It says:
> Distance in kilometers = Distance in cm x Map scale in cm/km
That wording is confusing. Actually, if the map scale is “1 cm = 500 km”, then to convert cm to km, you do:
Distance in km = (measured distance in cm) × (km per cm)
So if 1 cm = 500 km, then:
- If you measure 2 cm → 2 × 500 = 1000 km
- If you measure 3.5 cm → 3.5 × 500 = 1750 km
So the formula should really be:
> Distance in km = Distance in cm × (number of km per 1 cm)
In our example, that’s × 500.
---
You need to measure these on your map with a ruler:
#### Locations:
1. Point A and Point B → measure in cm → multiply by scale → write km
2. Point B and Point C → same
3. Point A and Point C → same
4. North America and Africa (measure between dots) → same
Again, since I don’t have the map, I’ll make up realistic measurements based on typical seafloor spreading maps.
Let’s assume on your map:
- Point A to Point B = 2.0 cm
- Point B to Point C = 3.0 cm
- Point A to Point C = 5.0 cm (since A to B + B to C = 2+3=5)
- North America dot to Africa dot = 8.0 cm
And map scale = 1 cm = 500 km
Now calculate:
1. A to B: 2.0 cm × 500 km/cm = 1000 km
2. B to C: 3.0 cm × 500 km/cm = 1500 km
3. A to C: 5.0 cm × 500 km/cm = 2500 km
4. NA to Africa: 8.0 cm × 500 km/cm = 4000 km
---
These numbers are EXAMPLES. You MUST use the actual measurements from YOUR map on Page 3. The values will be different depending on your printed worksheet.
Also, double-check your ruler measurement — hold the ruler straight, start at zero, and read carefully.
---
Final Answer:
Since I cannot see your map, here is how you should format your answers after measuring:
1. What is the map scale?
→ [Write what your map says, e.g., “1 cm = 500 km”]
2. Using the map scale, calculate the distance...
| Locations | Distance (km) |
|------------------------------------|---------------|
| Point A and Point B | [your calc] |
| Point B and Point C | [your calc] |
| Point A and Point C | [your calc] |
| North America and Africa (dots) | [your calc] |
✔ Remember: Replace [your calc] with your actual measured cm × map scale.
If you tell me what your map scale is and what you measured for each pair, I can help you check your math!
First, we need to understand what the problem is asking. We’re told to refer to a map on Page 3 (which we don’t have), but since this is a worksheet and you’ve shared only page 1, I’ll assume that in your actual assignment, you have access to the map titled “Spreading at Mid-Ocean Ridge Between African and North America Plates” on Page 3.
Since I can’t see the map, I’ll explain exactly how YOU should solve it — using the instructions given on this page.
---
Step 1: Find the Map Scale
Question 1 asks: What is the map scale?
On most maps, the scale is shown as a bar or written like “1 cm = X km”. Look at the bottom or side of the map on Page 3. It might say something like:
> “Scale: 1 cm = 500 km”
or show a line labeled with distances.
👉 Write down whatever the map says for the scale. For example, if it says “1 cm = 400 km”, then your answer to Question 1 is:
The map scale is 1 cm = 400 km.
*(Note: Since I don’t have the map, I’ll use an example value for demonstration. In your real work, use the actual number from your map.)*
Let’s pretend the map scale is:
1 cm = 500 km
We’ll use this for Question 2.
---
Step 2: Measure Distances on the Map
Question 2 gives you a table and tells you to measure distances between points using a ruler (in centimeters), then multiply by the map scale to get kilometers.
Formula given:
Distance in kilometers = Distance in cm × Map scale in cm/km
Wait — actually, let’s read that again carefully.
It says:
> Distance in kilometers = Distance in cm x Map scale in cm/km
That wording is confusing. Actually, if the map scale is “1 cm = 500 km”, then to convert cm to km, you do:
Distance in km = (measured distance in cm) × (km per cm)
So if 1 cm = 500 km, then:
- If you measure 2 cm → 2 × 500 = 1000 km
- If you measure 3.5 cm → 3.5 × 500 = 1750 km
So the formula should really be:
> Distance in km = Distance in cm × (number of km per 1 cm)
In our example, that’s × 500.
---
Step 3: Fill in the Table
You need to measure these on your map with a ruler:
#### Locations:
1. Point A and Point B → measure in cm → multiply by scale → write km
2. Point B and Point C → same
3. Point A and Point C → same
4. North America and Africa (measure between dots) → same
Again, since I don’t have the map, I’ll make up realistic measurements based on typical seafloor spreading maps.
Let’s assume on your map:
- Point A to Point B = 2.0 cm
- Point B to Point C = 3.0 cm
- Point A to Point C = 5.0 cm (since A to B + B to C = 2+3=5)
- North America dot to Africa dot = 8.0 cm
And map scale = 1 cm = 500 km
Now calculate:
1. A to B: 2.0 cm × 500 km/cm = 1000 km
2. B to C: 3.0 cm × 500 km/cm = 1500 km
3. A to C: 5.0 cm × 500 km/cm = 2500 km
4. NA to Africa: 8.0 cm × 500 km/cm = 4000 km
---
Important Note:
These numbers are EXAMPLES. You MUST use the actual measurements from YOUR map on Page 3. The values will be different depending on your printed worksheet.
Also, double-check your ruler measurement — hold the ruler straight, start at zero, and read carefully.
---
Final Answer:
Since I cannot see your map, here is how you should format your answers after measuring:
1. What is the map scale?
→ [Write what your map says, e.g., “1 cm = 500 km”]
2. Using the map scale, calculate the distance...
| Locations | Distance (km) |
|------------------------------------|---------------|
| Point A and Point B | [your calc] |
| Point B and Point C | [your calc] |
| Point A and Point C | [your calc] |
| North America and Africa (dots) | [your calc] |
✔ Remember: Replace [your calc] with your actual measured cm × map scale.
If you tell me what your map scale is and what you measured for each pair, I can help you check your math!
Parent Tip: Review the logic above to help your child master the concept of math connections worksheet.