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Types of Scale

Types of Scale. There are three types of map scales They are Word Scale or Direct Statement Line Scale Representative Fractions. Word Scale. Uses words to describe the relationship between a distance on a map and a specific distance on the earth.

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Types of Scale

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  1. Types of Scale • There are three types of map scales • They are • Word Scale or Direct Statement • Line Scale • Representative Fractions

  2. Word Scale • Uses words to describe the relationship between a distance on a map and a specific distance on the earth. • Example 1 cm to 10km means that 1 cm on the map represent 10 km on the earth’s surface

  3. Line Scale • This is a line located at the bottom of maps • Use the line scale to find the distance between two places

  4. How to use linear scale • To determine the distance on a map measure the distance on the map. • However, do not measure with a ruler if looking for accuracy

  5. Follow these steps to find the actual distance between places using the line scale

  6. Representative Fraction Scale (RF) • This fraction is a ratio. • The fraction is shown as follows: • 1:50 000 • The RF means that 1 unit on the map represents 50 000 of the same units on the earth’s surface • Units may be any measure • No matter what units are used the correct distance can be calculated • For example cm in Canada or inches in United States

  7. Representative Fraction Scale (RF) • This is important since everyone in the world can use this scale regardless of language or units of measurement in their country

  8. Few Properties about this ratio you should know

  9. Few Properties about this ratio you should know

  10. Few Properties about this ratio you should know

  11. Few Properties about this ratio you should know

  12. Few Properties about this ratio you should know

  13. Few Properties about this ratio you should know

  14. Therefore, if the RF is 1:50 000, then 1 cm on the map represents 50 000 cm on the earth’s surface • We usually want to know distances in Kilometers. • To change the centimeters to kilometers we must convert one unit of measure to another

  15. Scale Conversion • You need to know the following information: • 1 KM =1000m • 1 m = 100 cm • 1 km = 100 000 cm

  16. Converting an RF Scale to Direct Statement Scale • Divide the denominator by the unit you wish. • For example to change centimeters into kilometers you would use the following process: • 1cm = 50 000 cm • 1 cm = (50 000 cm ÷ 100 000) km • 1 cm = .5 km

  17. A dirty little Secret • Changing to cm and km count back 5 • For example • 1: 50 000 • 1: 5 0 0 0 0 1

  18. A dirty little Secret • Changing to cm and km count back 5 • For example • 1: 50 000 • 1: 5 0 0 0 0 2 1

  19. A dirty little Secret • Changing to cm and km count back 5 • For example • 1: 50 000 • 1: 5 0 0 0 0 3 2 1

  20. A dirty little Secret • Changing to cm and km count back 5 • For example • 1: 50 000 • 1: 5 0 0 0 0 4 3 2 1

  21. A dirty little Secret • Changing to cm and km count back 5 • For example • 1: 50 000 • 1: 5 0 0 0 0 5 4 3 2 1

  22. A dirty little Secret • Changing to cm and km count back 5 • For example • 1: 50 000 • 1: 5 0 0 0 0 5 4 3 2 1

  23. A dirty little Secret • Changing to cm and km count back 5 • For example • 1: 50 000 • 1: 5 0 0 0 0 5 4 3 2 1 • Move the decimal over 5 points • Therefore 1 cm = .5 km

  24. Change to m count back 2 • Changing to cm and m count back 2 • For example • 1: 50 000 • 1: 5 0 0 0 0 1

  25. Change to m count back 2 • Changing to cm and m count back 2 • For example • 1: 50 000 • 1: 5 0 0 0 0 2 1

  26. Change to m count back 2 • Changing to cm and m count back 2 • For example • 1: 50 000 • 1: 5 0 0 .0 0 2 1 • Move the decimal over 2 points • Therefore 1 cm = 500 m

  27. Converting a Direct Statement to R.F. Scale • Multiply the number by 100 000 • 1 cm represents 2.5 km • 1cm = (2.5 x 100 000) cm • 1 : 250 000

  28. A dirty little Secret • Changing from km to a representative fraction count back 5 • For example • 1 cm represents 2.5 km • 1: 2 . 5 0 0 0 0 1

  29. A dirty little Secret • Changing from km to a representative fraction count back 5 • For example • 1 cm represents 2.5 km • 1: 2 . 5 0 0 0 0 1 2

  30. A dirty little Secret • Changing from km to a representative fraction count back 5 • For example • 1 cm represents 2.5 km • 1: 2 . 5 0 0 0 0 1 2 3

  31. A dirty little Secret • Changing from km to a representative fraction count back 5 • For example • 1 cm represents 2.5 km • 1: 2 . 5 0 0 0 0 1 2 3 4

  32. A dirty little Secret • Changing from km to a representative fraction count back 5 • For example • 1 cm represents 2.5 km • 1: 2 . 5 0 0 0 0 1 2 3 4 5

  33. A dirty little Secret • Changing from km to a representative fraction count back 5 • For example • 1 cm represents 2.5 km • 1: 2 . 5 0 0 0 0 1 2 3 4 5 • Thus 1cm represents 2.5km as • a direct statement is 1:250 000

  34. Changing from m to a representative fraction count back 2 • For example • 1 cm represents 2.5 m • 1: 2 . 5 0 1

  35. Changing from m to a representative fraction count back 2 • For example • 1 cm represents 2.5 m • 1: 2 . 5 0 1 2

  36. Changing from m to a representative fraction count back 2 • For example • 1 cm represents 2.5 m • 1: 2 . 5 0 1 2

  37. Changing from m to a representative fraction count back 2 • For example • 1 cm represents 2.5 m • 1: 2 . 5 0 1 2 • Thus 1cm represents 2.5 m as • a direct statement is 1: 250

  38. Work • Do worksheet Word and Linear Scales • Read pages 44, 45, 46 and 47 • Answer questions 1-10 on pages 48

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