Problem Description:
The task involves plotting a set of coordinates on a grid and connecting the dots in the order they are given to reveal a mystery picture. The coordinates provided are:
\[
(3, 6), (5, 7), (11, 7), (13, 6), (14, 5), (14, 3), (12, 1), (4, 1), (2, 3), (2, 5), (3, 6), (4, 9), (2, 11), (2, 13), (5, 14), (6, 14), (4, 12), (6, 11), (10, 11), (12, 12), (10, 14), (11, 14), (14, 13), (14, 11), (12, 9), (13, 6), (3, 4), (5, 3), (11, 3), (13, 4)
\]
Solution Approach:
1.
Plot Each Coordinate: Place each point on the grid according to its \( (x, y) \) coordinates.
2.
Connect the Dots: Draw lines sequentially from one coordinate to the next in the order they are listed.
3.
Reveal the Picture: After connecting all the dots, the resulting shape should form the mystery picture.
Step-by-Step Solution:
#### 1. Plotting the Coordinates:
We will plot each coordinate on the grid. For example:
- \( (3, 6) \): Move 3 units right from the origin and 6 units up.
- \( (5, 7) \): Move 5 units right from the origin and 7 units up.
- Continue this process for all coordinates.
#### 2. Connecting the Dots:
After plotting all the points, we connect them in the exact order they are listed. This means drawing a line from the first point to the second, then from the second to the third, and so on.
#### 3. Observing the Shape:
As we connect the dots, a recognizable shape begins to emerge. The provided answer indicates that the final shape is a cartoonish face resembling a cow or bull.
#### Final Result:
The completed image reveals a face with two large eyes, a wide mouth, and two horns on top of the head. This matches the provided answer in the image.
Explanation of the Process:
-
Order Matters: The sequence in which the coordinates are connected is crucial. Skipping or rearranging the order would result in an incorrect shape.
-
Grid Alignment: Ensure that each coordinate is plotted accurately on the grid to maintain the integrity of the final image.
-
Pattern Recognition: As you connect the dots, you may start to recognize parts of the image (e.g., eyes, mouth, horns) before completing the entire shape.
Final Answer:
The mystery picture revealed by connecting the dots is a
cartoonish cow or bull face.
\[
\boxed{\text{Cow/Bull Face}}
\]
Parent Tip: Review the logic above to help your child master the concept of coordinates math worksheet.
