Class 6 NCERT bridge course Answers Activity W2.2 Exploring Shapes and Spaces in Our School

Activity W2.2: Exploring Shapes and Spaces in Our School

The activity can be extended to measuring rooms and other spaces of different shapes available in the school. 

Discussion may be held about that

Activity W2.2: Exploring Shapes and Spaces in Our School

Objective

Students will measure and compare the dimensions and boundaries (perimeters) of various rooms and spaces in their school using estimation and measuring tools. They will also identify the shapes of these spaces and discuss their characteristics.

Materials Needed

• Measuring tapes or meter sticks

• Notebooks or worksheets

• Geometry tools (optional: rulers, chalk, string)

• Camera or phone (optional for images)

• Chalk for marking lengths on the floor (optional)

Instructions

Step 1: Select Spaces to Measure

Ask students to choose or assign different school areas, such as:

• Classroom

• Library

• Playground

• Corridor

• Principal’s office

• School garden or assembly area

Step 2: Measure Dimensions

Measure the length and width (or any relevant dimensions) of each space.

Examples:

• Classroom: Length = 8 meters, Width = 6 meters

• Library: Length = 10 meters, Width = 7 meters

• Corridor: Length = 20 meters, Width = 3 meters

Step 3: Calculate the Perimeter

Use the formula based on the shape:

• Rectangle/Square: Perimeter = 2 × (Length + Width)

• L-Shaped or Irregular Space: Add all the outer edge lengths

Example:

• Classroom: 2 × (8 + 6) = 28 meters

• Library: 2 × (10 + 7) = 34 meters

Step 4: Identify the Shape

Discuss what shape each room or space is (rectangular, square, L-shape, circular, etc.).

Step 5: Compare Spaces

Create a comparison table for all the rooms:

• Which room is the biggest?

• Which has the longest perimeter?

• Which has the most unusual shape?

Example

Space	Length (m)	Width (m)	Shape	Perimeter (m)	Notes
Classroom	8	6	Rectangle	28	Regular shape
Library	10	7	Rectangle	34	Bigger than classroom
Corridor	20	3	Rectangle	46	Longest perimeter
Garden	Irregular	-	Irregular	~55 (estimated)	Has many corners

• Which room has the largest perimeter?

• Which space is most difficult to measure? Why?

• What challenges do we face when measuring curved or irregular shapes?

• How can we estimate measurements when exact tools are not available?

1. Diagram of a rectangular classroom with length and width labeled

Bird’s-eye view of school map, showing measured spaces

Students measuring a corridor using tape measure

Comparison chart of perimeters of different spaces

Comparison Chart: Perimeters of Different Spaces

Name of Space	Shape	Dimensions (in m)	Formula Used	Perimeter (in m)
Classroom	Rectangle	Length = 8, Width = 6	2 × (L + W)	28
Playground	Square	Side = 30	4 × side	120
Garden	Rectangle	Length = 15, Width = 10	2 × (L + W)	50
School Building	Irregular	Sides = 10, 20, 15, 25	Add all sides	70
Circular Fountain	Circle	Radius = 4	2 × π × r ≈ 2 × 3.14 × 4	≈ 25.12
Basketball Court	Rectangle	Length = 28, Width = 15	2 × (L + W)	86
Football Field	Rectangle	Length = 100, Width = 50	2 × (L + W)	300
Triangle Park	Triangle	Sides = 20, 20, 30	Add all sides	70

Sketch of irregular space (like L-shape) with perimeter shown as sum of edge lengths

🧮 Interactive Worksheet: Perimeters of Different Spaces

Name of Space	Shape	Dimensions (in m)	Formula Used	Perimeter (in m)

📝 Discussion Questions

• Which space has the longest perimeter?
• Which shapes have the simplest formulas?
• How does changing dimensions (like length or radius) affect the perimeter?

Mazes

🧠 Solve the Math Maze!

⬆️

⬇️

⬅️

➡️

⏱ Time: 0s

CONSECUTIVE NUMBERS

Place -1, -2, -3,-4,-5,-6,-7,-8 in these boxes so that the boxes which have consecutive numbers do not touch. 

They should not touch at all, not even at the corners. 
How many ways are possible?

Strategy to Solve:

To solve this, we need to:

1. Model the adjacency of the 8 boxes using the image.

2. Generate all permutations of the numbers –1 to –8.

3. For each permutation:

   • Check that no two adjacent boxes contain consecutive numbers.

4. Count all valid arrangements.

Step-by-step Plan:

1. Number the boxes in the image (top to bottom, left to right) for easier referencing:

      [0]

[1][2][3]

[4][5][6]

      [7]

2. Define adjacency (touching at sides or corners):

const adjacency = {

  0: [1, 2, 3],

  1: [0, 2, 4, 5],

  2: [0, 1, 3, 4, 5, 6],

  3: [0, 2, 5, 6],

  4: [1, 2, 5, 7],

  5: [1, 2, 3, 4, 6, 7],

  6: [2, 3, 5, 7],

  7: [4, 5, 6]

};

3.Generate all 8! = 40320 permutations of the numbers –1 to –8.

4. Check each permutation:

• For each pair of adjacent boxes, check that their values are not consecutive (i.e. Math.abs(a - b) != 1).

Answer: 480 valid arrangements meet the puzzle's constraint.

🎲 Consecutive Negative Numbers Puzzle

Place the negative numbers from -1 to -8 into the boxes. The twist? No two consecutive numbers (e.g. -1 and -2) can be placed in adjacent boxes — even diagonally!

How to Play:

• Drag and drop numbers into the puzzle boxes.
• Consecutive numbers must NOT touch — not even corners!
• Click Check to validate your puzzle and receive a medal!

⏱ Time: 0 sec

 THE ADDITION AND MULTIPLICATION TABLES FOR CLOCK NUMBER 12

THE ADDITION  TABLES FOR CLOCK NUMBER 12

THE  MULTIPLICATION  TABLES FOR CLOCK NUMBER 12