head 1.1; access; symbols; locks; strict; comment @# @; 1.1 date 2018.03.14.16.01.26; author root; state Exp; branches; next ; desc @This document (U3_L2_A1_Find the Real distance) is re-created by black-butterfly-cc on 07 May 2017 @ 1.1 log @Initial revision @ text @{ "_id": { "$oid": "59425fcc4975ac013d976b82" }, "_type": "GSystem", "access_policy": "PUBLIC", "altnames": "2.1 Find the Real Distance", "annotations": [], "attribute_set": [ { "discussion_enable": true } ], "author_set": [], "collection_set": [], "comment_enabled": null, "content": "
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PROPORTIONAL REASONING\r\n

Find the Real Distance

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Jamuni has an interest in map reading and a curiosity to find distance between two places using different possible routes. She likes reading her world Atlas and uses the scale factor given in the map to calculate the exact distance between two places.

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\r\nTask 1

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Carefully look at the map-scale (scale given in the map).  What do you see? Compare 1 unit of the map-scale with 1 unit of the ruler (scale) you have. Now fill the following table and put correct unit-name.

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\"map\"

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 Map scaleReal distance
1 unit____________________
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Write your observation. One unit of map scale represents how much real distance?

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Similarly, Two units of map scale will represent how much of a real distance?

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\"note\"
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Task 2

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The ratio between map-scale and real distance can be written as  ___:___. This ratio is called the \u201cscale factor\u201d for a given map. It is a matter of convenience that we choose different scaling factors for showing or calculating distance between places. Now use the above scale factor to find distance between any two cities of your choice on the map.  Think about different ways of doing this task. Fill in the following table :

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\u200b\u200b\u200b\u200b\u200b\u200bHint: Use a thread to measure the circuitous route and using a ruler and the given map-scale, find the actual distance between these two cities.
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Map-scale

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Length of the thread used

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Real distance

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1  cm = 12 km

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1   cm = 12 km

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1  cm = 12 km

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Task 3

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\r\nThe other way in which a map-scale is shown on a map is by expressing a unit distance and a real distance, for example, 1 cm = 50 km which indicates that 1 cm in the map distance is equivalent to 50 km in actual distance. 

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Map scale

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Distance of the map

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Real distance

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1 cm = 15 km

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6 cm

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1 cm = 12 km

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10.5 cm

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1 cm = 20 km

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1/2 cm

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What is the relationship between the distance on the map and the real distance?

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\"note\"

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CLIx English\r\n

Activity 1

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Question 1:

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Jamuni loves to read maps. She is amazed by how the scale given in a small map can be used to represent great distances.

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Carefully look at the map-scale (scale given in the map here).  What do you see?

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\"map.jpeg\"

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    Compare 1 unit of the map-scale with 1 unit of the ruler (scale) you have.  

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    Now complete the following table, carefully enter the correct units.

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Map-scale

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Real distance

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1 unit

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__________________

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Question 2:

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The ratio between map-scale and real distance can be written as  ___:___.  

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This ratio is also called the \u201cscale factor\u201d of the map.

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Question 3:

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For convenience, we choose different scaling factors to show or calculate the distance between two places on a map.

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    Choose any two cities of your choice on the given map and using the scale factor find the distance between these cities in kilometres. Think about different ways of doing this task.

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    Then complete the following table.

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Hint: Use a thread to measure circuitous routes. Then, use a ruler and the given map-scale to calculate the actual distance between the two cities.

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Map-scale

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Length of thread used

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Real distance

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1 cm = 12 km

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1 cm = 12 km

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1 cm = 12 km

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Question 4:

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The map-scale shown in the map indicates the unit distance and the real distance. For example, a map-scale of 1 cm = 50 km indicates that 1 cm on the map is equivalent to 50 km on the ground, that is, real distance.

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Use the given map-scales (from different maps) to find the real distance in the table below.  

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Map-scale

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Real distance

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1 cm = 15 km

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6 cm

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1 cm = 12 km

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10.5 cm

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________________

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1 cm = 20 km

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1/2 cm

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________________

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