Math Puzzles for Kids - Shape Puzzles - Free Printable

The task involves identifying and counting the number of squares in a given grid. The solution provided in the image is already completed, but I will explain how to arrive at the answer step by step.

Step-by-Step Solution:

#### 1. Understand the Grid:
The grid is a 4x4 grid of dots, which means there are 3 horizontal and 3 vertical lines between the dots. This forms a total of 16 smaller squares (each formed by 4 adjacent dots).

#### 2. Identify Different Types of Squares:
We need to count all possible squares, including:
- 1x1 squares (regular squares)
- 2x2 squares
- 3x3 squares
- Tilted squares (squares that are not aligned horizontally or vertically)

#### 3. Count Each Type of Square:

##### (a) 1x1 Squares:
These are the smallest squares formed by 4 adjacent dots.
- There are 9 such squares in the grid.

##### (b) 2x2 Squares:
These are squares formed by 4 dots that are 2 units apart horizontally and vertically.
- There are 4 such squares in the grid.

##### (c) 3x3 Squares:
These are squares formed by 4 dots that are 3 units apart horizontally and vertically.
- There is 1 such square in the grid.

##### (d) Tilted Squares:
These are squares that are rotated and not aligned with the grid lines.

###### (i) Tilted Small Squares:
These are tilted squares with side lengths equal to the diagonal of a 1x1 square.
- There are 4 such squares in the grid.

###### (ii) Tilted Large Squares:
These are tilted squares with side lengths equal to the diagonal of a 2x2 square.
- There are 2 such squares in the grid.

#### 4. Summarize the Counts:
Now, we sum up all the squares counted:

| Square Type | Number |
|---------------------|--------|
| 1x1 | 9 |
| 2x2 | 4 |
| 3x3 | 1 |
| Tilted Small | 4 |
| Tilted Large | 2 |
| TOTAL | 20 |

Final Answer:

The total number of squares in the grid is 20.

Explanation of the Image:

The image shows:
1. A blank 4x4 grid (top left).
2. Highlighted squares for different types (e.g., red for 2x2, green for tilted small, etc.).
3. A table summarizing the counts of each type of square.
4. The total count of squares is 20, as shown in the table.

Thus, the solution is consistent with the provided image and explanation.

Final Answer: \boxed{20}