Hide and Seek

Chapter at a Glance

This chapter teaches students about spatial perspectives (top, front, side, and back views), grid navigation, and map-reading. Through the context of games like hide-and-seek, classroom arrangements, grid-based treasure hunts, and drone-guided school mapping, children learn how the orientation of a viewer changes the shape of a drawing. They practice plotting items in coordinate grids, finding shortest paths on school layout maps, and writing directional instructions to guide navigation.

Key Definitions & Terminology

• Top View: The image or drawing of an object as seen from directly above, looking straight down.
• Front View: The drawing of an object as seen from directly in front.
• Side View: The drawing of an object as seen from the side.
• Grid Coordinates: A system of locating positions in a layout using horizontal rows (e.g. Row 1, Row 2, Row 3) and vertical columns (e.g. Column 1, Column 2, Column 3).
• Sight Map: A simplified layout drawing showing positions, rooms, pathways, and gates to help navigate a physical area.
• Drone View (Bird's Eye View): An aerial photograph or drawing taken from high above, showing the overall footprint of buildings and grounds.

Formulas, Rules & Properties

• Grid Movement Rule:
• Movements are restricted to horizontal steps (left/right) and vertical steps (up/down). No diagonal steps are permitted.
• Step distance (Manhattan distance) between two grid boxes:
  $$\text{Total Steps} = \text{Horizontal steps} + \text{Vertical steps}$$
• Grid Index Convention:
• Rows are numbered from bottom to top: Row 1 (bottom), Row 2 (middle), Row 3 (top).
• Columns are numbered from left to right: Column 1 (left), Column 2 (middle), Column 3 (right).

Core Concepts & Topics

• Multiple Perspectives of a 3D Object:
• A single object looks different depending on the viewer's position (e.g. Mini sees a brick's top face, Bholu sees the front face, and Rani sees the side face).
• Studying other everyday objects (shoes, bottles, tables, birthday caps) in different views.
• Visualizing Buildings in 3D:
• Using empty matchboxes to construct "Boxy Buildings" and drawing their top, side, and front views.
• Classroom Desk Grid Mapping:
• Locating items (backpacks, books, notebooks) and students on a classroom layout grid using rows and columns.
• Grid Coordinate Game (Treasure Hunt):
• Placing items in a $3 \times 3$ grid using specific clues.
• Playing a $4 \times 4$ path game where a player navigates towards a target (like an orange or mango) from a starting point, counting steps to compare distances.
• Map Reading and Route Optimization:
• Tracing multiple paths from a classroom to a stage, playground, or sports room on a school map.
• Formulating step-by-step navigation instructions using landmarks and turns (e.g., turn left, go past, turn right).

Worked Examples

• Brick View Assignments:
• Mini's drawing $\rightarrow$ Top view
• Bholu's drawing $\rightarrow$ Front view
• Rani's drawing $\rightarrow$ Side view
• Bholu's $3 \times 3$ Grid Placement:
• Clue 1: An eraser at the top right corner. $\rightarrow$ Row 3, Column 3
• Clue 2: A pencil in the top left corner. $\rightarrow$ Row 3, Column 1
• Clue 3: An apple in the middle of the second row and second column. $\rightarrow$ Row 2, Column 2
• Clue 4: A water bottle in the third row and second column. $\rightarrow$ Row 3, Column 2
• Clue 5: A ball at the bottom left corner. $\rightarrow$ Row 1, Column 1
• Mini and Jagat's Grid Treasure Hunt:
• Problem: Mini starts at the bottom-left entry box.
  • (a) She takes $4$ steps to the right. Jagat tells her: "You are 3 steps away."
  • (b) Mini then takes $2$ steps to the left and $1$ step upwards. Jagat says: "You reached it!"
  • (c) Trace her path and identify the target.
  • Solution:
  • Start at $(1, 1)$.
  • Move $4$ steps right $\rightarrow$ reaches $(1, 5)$.
  • Move $2$ steps left $\rightarrow$ back to $(1, 3)$.
  • Move $1$ step up $\rightarrow$ reaches $(2, 3)$. The target is the orange.
• School Map Navigation:
• Question: A water delivery man enters the school. Tell him the way to the Mid-Day Meal (MDM) kitchen if he turns left at the entrance.
• Solution: Enter the gate and turn left. Walk along the service lane past the Primary Wing classrooms. Turn right, and the MDM kitchen is on the right.
• Question: Compare the path lengths from the playground assembly: Bholu goes to the IT room, and Rani goes to the sports room. Which path is longer?
• Solution: Trace the two routes on the school map. The path to the sports room is longer because it requires traversing the primary wing and crossing the main road lane.

Practical Activities & Experiments

• Matchbox Boxy Buildings: Constructing miniature buildings using empty matchboxes, sketching their top, front, and side views, and challenging partners to match the sketches with the correct models.
• Classroom Floor Grid Game: Drawing a large grid on the floor with chalk, placing objects (bag, eraser, bottle) in coordinate boxes, and having students walk step-by-step from start to target.
• School Sight Map Crafting: Drawing a map of the school campus from the main entrance to the classroom, labeling classrooms, playground, administrative offices, and main pathways.
• Compass & Path finding roleplay: Simulating a navigation helpdesk where students write and read aloud route coordinates to guide visitors.