Area and tiling

What is Area?

Area is the amount of space inside a shape. It tells us how much surface the shape covers. Think of it like how many tiles would fit on a floor or how much paint you’d need to cover a wall.

How Do We Measure Area?

We measure area using square units. The most common units are:

  • Square centimeters (cm²) for small areas (like a book cover)
  • Square meters (m²) for bigger spaces (like a classroom floor)

Finding Area by Counting Squares (Tiling Method)

In early grades, we often use grids to help visualize area. Here’s how it works:

  1. Imagine a grid where each square is 1 unit long and 1 unit wide.
  2. Count how many squares fit completely inside the shape.
  3. The total number of squares is the area.

Example 1: Simple Rectangle

⬜⬜⬜
⬜⬜⬜

  • This rectangle covers 6 squares
  • Area = 6 square units

Example 2: L-Shaped Figure

⬜⬜

  • Count all the squares: 3 total
  • Area = 3 square units

Area of Squares and Rectangles

For simple shapes like squares and rectangles:

  • Multiply length × width (but in Grade 2, we focus more on counting)

Example:

A rectangle that’s 4 squares long and 2 squares wide:

⬜⬜⬜⬜
⬜⬜⬜⬜

  • We could count all 8 squares
  • Or learn that 4 (length) × 2 (width) = 8 square units

Let’s look at more examples:

Example 1: Rectangle Area

Shape Description:

  • A rectangle that is 3 units long and 2 units wide

Visual Representation:

■ ■ ■
■ ■ ■

Each ■ represents 1 square unit)

How to Find the Area:

  1. Counting Method:
    • Count all the squares inside: 6 squares total
  2. Multiplication Method:
    • Multiply length × width: 3 × 2 = 6

Calculation:

3 (length) × 2 (width) = 6 square units

Real-World Connection:

This could represent:

  • A small tablet (3 inches by 2 inches)
  • A sticky note
  • A chocolate bar with 6 pieces

Example 2: Square Area

Shape Description:

  • A square that is 4 units on each side

Visual Representation:

■ ■ ■ ■
■ ■ ■ ■
■ ■ ■ ■
■ ■ ■ ■

How to Find the Area:

  1. Counting Method:
    • Count all squares: 16 total
  2. Multiplication Method:
    • Multiply side × side: 4 × 4 = 16

Calculation:

4 (side) × 4 (side) = 16 square units

Remember: Whether you count squares or multiply numbers, you’re finding out how much space is inside a shape! Keep practicing with different shapes and sizes to become an area expert.