EDEXCEL GCSE FOUNDATION MATHS - What are Distance Charts

Edexcel GCSE Foundation Maths: Distance Charts

Distance charts are a visual way to represent the distances between different locations. They're commonly used in travel planning, logistics, and geography.

Understanding Distance Charts

• Rows and Columns: A distance chart is organized in a grid format. Each row and column represents a specific location.
• Distances: The cells within the grid show the distances between the locations. The distance between two locations is found where their corresponding row and column intersect.
• Symmetry: Distance charts are symmetrical, meaning the distance between A and B is the same as the distance between B and A. This means you only need to fill in half the chart.

Example Distance Chart:

     |  A  |  B  |  C  |
-----|-----|-----|-----|
  A  |  0  | 10  | 20  |
  B  | 10  |  0  | 15  |
  C  | 20  | 15  |  0  |

• Location A to B: The distance is 10 miles (found at the intersection of row A and column B).
• Location B to C: The distance is 15 miles (found at the intersection of row B and column C).

Using Distance Charts

• Finding the shortest route: By comparing distances, you can determine the shortest route between multiple locations.
• Calculating total distance: You can add up the distances between consecutive locations on a chosen route to find the total distance.
• Planning travel time: Knowing the distance and average travel speed, you can estimate the travel time between locations.

Tips for Working with Distance Charts

• Label clearly: Ensure all locations are clearly labeled on the chart.
• Units: Always indicate the units of measurement (e.g., miles, kilometers).
• Check for symmetry: Verify that the distances are symmetrical.
• Use a compass: If you're working with directions, use a compass to help you visualize the routes.

Example Problem:

You need to travel from Location A to Location C, then to Location B. Use the distance chart above to determine the shortest route and calculate the total distance.

Solution:

• Route 1: A to C (20 miles) then C to B (15 miles) = 35 miles
• Route 2: A to B (10 miles) then B to C (15 miles) = 25 miles

The shortest route is A to B to C, with a total distance of 25 miles.