Introduction to Area: Tiling Shapes
Covering shapes with equal square units
Introduction to Area: Tiling Shapes
Covering shapes with equal square units
Math - Grade 2-3
- 1
A rectangle is covered by 3 rows of square tiles. Each row has 4 tiles. How many square tiles cover the rectangle?
You can count by 4s: 4, 8, 12.
The rectangle is covered by 12 square tiles because 3 rows of 4 tiles make 12 tiles in all. - 2
A shape is covered with 9 equal square tiles. What is the area of the shape in square units?
The area of the shape is 9 square units because 9 equal square tiles cover it. - 3
Mia covers a rectangle with square tiles. She leaves spaces between some of the tiles. Has Mia measured the area correctly? Explain.
Area tells how much flat space is covered.
Mia has not measured the area correctly because area tiles should cover the whole shape with no gaps. - 4
Count the square units in a shape made of 5 squares in a row and 1 square attached below the middle square. What is the area?
The area is 6 square units because the shape has 6 equal squares in all. - 5
A book cover is 2 square tiles wide and 6 square tiles long. How many square tiles are needed to cover the book cover?
Think of the book cover as 2 rows with 6 tiles in each row.
The book cover needs 12 square tiles because 2 groups of 6 tiles make 12 tiles. - 6
Two students tile the same rectangle. Leo uses small square tiles, and Ava uses larger square tiles. Will they use the same number of tiles? Explain.
They will not use the same number of tiles because smaller tiles take more tiles to cover the same area, and larger tiles take fewer tiles. - 7
A rectangle has 4 columns of square tiles and 2 rows of square tiles. What is its area in square units?
You can count all the squares or add 4 + 4.
Its area is 8 square units because 4 tiles in each row for 2 rows makes 8 tiles. - 8
A shape is made from 10 equal square tiles. Sam adds 3 more equal square tiles to the shape. What is the new area?
The new area is 13 square units because 10 square units plus 3 square units equals 13 square units. - 9
Which covers a floor correctly: tiles that overlap each other, tiles with gaps between them, or tiles that touch edge to edge with no gaps or overlaps?
A good tiling covers every part of the shape exactly once.
Tiles that touch edge to edge with no gaps or overlaps cover the floor correctly. - 10
A garden path is tiled with 3 rows of squares. The first row has 5 squares, the second row has 5 squares, and the third row has 5 squares. What is the area of the path?
Add the number of tiles in each row.
The area of the path is 15 square units because 5 + 5 + 5 equals 15. - 11
Count the area of an L-shaped tile pattern with 4 squares going down and 3 squares going across the bottom, where the corner square is shared.
The area is 6 square units because there are 4 squares down and 3 squares across, but the corner square is counted only once. - 12
A square is covered by 4 rows of tiles. Each row has 4 tiles. What is the area of the square?
Count by 4s four times.
The area of the square is 16 square units because 4 rows of 4 tiles make 16 tiles. - 13
A mat has an area of 18 square units. It is covered by 3 equal rows of square tiles. How many tiles are in each row?
Think about what number added 3 times makes 18.
There are 6 tiles in each row because 18 square tiles split into 3 equal rows gives 6 tiles in each row. - 14
Draw or describe a shape with an area of 8 square units. The shape must be made from equal square tiles.
One correct answer is a rectangle with 2 rows and 4 columns of equal square tiles, which has an area of 8 square units. - 15
A tiled shape has 2 full rows of 5 square tiles and 1 extra square tile attached to the side. What is the total area?
Find the area of the full rows first, then add the extra tile.
The total area is 11 square units because 2 rows of 5 tiles make 10 tiles, and 1 more tile makes 11.