Tile a rectangle with squares
Let's be tilers for a day! π¨ We can fill up a big rectangle with small, equal-sized squares. This helps us get ready to understand area, which is all about the space inside a shape!
Do this: Read the concept below, then try the quiz or activity.
Concept
Tiling a rectangle means covering its entire surface with square tiles, leaving no gaps and having no overlaps. This is a hands-on way to introduce the concept of area.
The Activity: 1. You start with a large, empty rectangle. 2. You are given a collection of small, identical square tiles. 3. Your job is to place the tiles one by one inside the rectangle until it is completely filled. 4. You can often see the rectangle is made of rows and columns.
Visual Example: Imagine a rectangle that is 2 squares tall and 5 squares wide. * You can create a row of 5 tiles along the bottom. * Then you can create another row of 5 tiles on top of that. * You have 2 rows, and each row has 5 tiles. * To find the total number of tiles, you can add 5 + 5 = 10. Or you can see it's 2 rows of 5, which is a precursor to multiplication (2 x 5 = 10).
Key Idea: When you tile a rectangle, you prove that the space can be measured by counting how many identical units fit inside. It's the beginning of understanding area.
Try it
Practice: Tile a rectangle with squares.