Mathematics: Class 5 — Chapter 14: Maps And Locations

14.1 Finding Directions

Understanding directions is essential for navigating and reading maps. The four cardinal directions are North, South, East, and West.

14.1.1 Finding Directions using the Sun

One of the traditional ways to figure out directions is by facing the rising Sun:

  • Facing the rising Sun points to the East.
  • Behind you is the West.
  • Your left hand points to the North.
  • Your right hand points to the South.

14.1.2 Poem: Four Little Chicks

A short poem illustrating movement across directions:

"Four Little Chicks of a bird set out to fly,
Spreading their wings they all flew high.
They flew away from East to West,
flew North to South, without any rest..."
14.2 Map Reading Activities

14.2.1 Bird Watching Camp

Using clues to identify locations on a map relative to cardinal directions:

  • The tent to the west of the road is blue.
  • The tent closest to the lake is green.
  • The tent north of the green tent is purple.
  • The tent south of the lake is yellow.

14.2.2 Map of a Room

Determining directions of objects in a room in relation to a person standing at the center:

  • Identify the positions of the Window, Bed, Cupboard, and Bedside table relative to the girl.
  • Activity: Draw your own room, locate directions, and list objects placed in the East, West, North, and South.
14.3 Bus Route and Street Maps

Analyzing a street map to trace routes and determine directions of travel.

14.3.1 Navigating the Bus Route

Following directions on a street map from a starting point (Parking) to various stops:

  • The bus starts from the parking area, goes north, and turns right onto Market Road driving in the East direction to reach Stop 1 ($S_1$).
  • To reach Stop 2 ($S_2$), it turns left onto Park Road driving in the North direction.

14.3.2 Map Analysis Questions

  • Identify whose houses are situated to the east of Jaideep's house.
  • Trace routes between different locations (e.g., from Ravi's house to the children's park).
  • Determine proximity of bus stops to specific houses.
14.4 Delhi Metro Train Stations

Reading and navigating a complex transit map using keys and color-coded lines.

14.4.1 Metro Map Key and Symbols

Metro lines are represented by different colors to make navigation easier:

  • Red Line
  • Yellow Line
  • Blue Line
  • Green Line
  • Violet Line
  • Pink Line
  • Magenta Line
  • Airport Express Line

Symbols indicate Metro Stations and Interchange Lines.

14.4.2 Route Planning Exercises

  • Trace routes from Qutb Minar metro station to Supreme Court metro station.
  • Determine interchange stations when switching lines (e.g., changing at Hauz Khas to the Magenta Line).
  • Identify the route with the least number of stations.
14.5 Grid Navigation and Coordinates

14.5.1 Anthill in the Zoo (Grid Movement)

Moving along a grid with specified distances and directions:

  • To get to the laddoos, the ant crawls $2\text{ cm}$ towards the east.
  • To get to the sugar, the ant crawls $4\text{ cm}$ in the north direction.
  • To get to the bread, the ant crawls $2\text{ cm}$ in the west direction, then $2\text{ cm}$ in the south direction.

14.5.2 Locating Animals on a Grid (Coordinate System)

Using a coordinate grid where the horizontal axis represents columns and the vertical axis represents rows. The meeting point is written as $(x, y)$, where $x$ is the horizontal distance (column) and $y$ is the vertical distance (row) from the origin $(0,0)$.

  • Panda: Located at $(1,1)$ (first column, first row).
  • Tortoise: Located at $(4,1)$ (move $4$ steps east to the $4^{\text{th}}$ column, then $1$ step north to the $1^{\text{st}}$ row).

Grid Coordinates Exercises:

  1. Locate animals at specific coordinates:
    • $(11,11)$
    • $(2,6)$
    • $(6,4)$
    • $(3,10)$
    • $(11,3)$
    • $(10,9)$
  2. Write coordinates for specific animals:
    • Lion
    • Elephant
    • Tortoise
    • Deer
    • Panda
    • Crocodile