Map scale and Pythagoras
A map is drawn to a scale such as 1 cm : 2 km, with three towns joined by straight lines that cut across the grid. Given one distance, the student finds another.
Each line is the long side of a right triangle on the grid, so Pythagoras gives its length in centimetres and the scale turns that into kilometres. Every distance comes out as a whole number.
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What changes each time
- Lines based on 3-4-5, 5-12-13 and other whole-number triangles
- Different map scales
- Four answer choices
More coordinates and maps practice
- Circles on a coordinate grid (Grade 4)
- Rectangle corners from coordinates (Grade 4)
- Compass directions on a map (Grade 4)
- Compass turns (Grade 4)
- Map distances on a grid (Grade 4)
- Graphing linear inequalities (Grade 8)