5th Grade Math Worksheets PDF | Printable PDF Worksheets - Free Printable

Problem Overview:

The task is to identify the coordinates of various symbols placed on a grid in the 1st quadrant. The grid has horizontal and vertical axes, with the origin (0, 0) at the bottom-left corner. Each symbol's position is determined by its x-coordinate (horizontal position) and y-coordinate (vertical position).

Solution Approach:

1. Understand the Grid:
- The horizontal axis (x-axis) increases from left to right.
- The vertical axis (y-axis) increases from bottom to top.
- Each intersection of the grid lines represents a coordinate pair \((x, y)\).

2. Identify Coordinates:
- For each symbol, determine its position relative to the axes:
- The x-coordinate is the number of units to the right of the y-axis.
- The y-coordinate is the number of units above the x-axis.

3. List the Symbols and Their Coordinates:
- Carefully observe the positions of all symbols on the grid and record their coordinates.

Step-by-Step Solution:

#### Symbols and Their Coordinates:
1. Apple (Red):
- Position: 3 units right, 10 units up.
- Coordinates: \((3, 10)\)

2. Banana (Yellow):
- Position: 17 units right, 2 units up.
- Coordinates: \((17, 2)\)

3. Train (Blue):
- Position: 9 units right, 10 units up.
- Coordinates: \((9, 10)\)

4. Arrow (Green):
- Position: 8 units right, 8 units up.
- Coordinates: \((8, 8)\)

5. House (Purple):
- Position: 12 units right, 6 units up.
- Coordinates: \((12, 6)\)

6. Basketball (Orange):
- Position: 12 units right, 12 units up.
- Coordinates: \((12, 12)\)

7. Bear (Blue):
- Position: 5 units right, 5 units up.
- Coordinates: \((5, 5)\)

8. Tree (Green):
- Position: 14 units right, 4 units up.
- Coordinates: \((14, 4)\)

9. Heart (Pink):
- Position: 10 units right, 2 units up.
- Coordinates: \((10, 2)\) (Already given as an example)

10. Hat (Blue):
- Position: 2 units right, 8 units up.
- Coordinates: \((2, 8)\)

11. Flower (Yellow):
- Position: 3 units right, 2 units up.
- Coordinates: \((3, 2)\)

12. Fish (Orange):
- Position: 14 units right, 8 units up.
- Coordinates: \((14, 8)\)

Final Answer:

\[
\begin{array}{|c|c|}
\hline
\text{Symbol} & \text{Coordinates} \\
\hline
\text{Apple} & (3, 10) \\
\hline
\text{Banana} & (17, 2) \\
\hline
\text{Train} & (9, 10) \\
\hline
\text{Arrow} & (8, 8) \\
\hline
\text{House} & (12, 6) \\
\hline
\text{Basketball} & (12, 12) \\
\hline
\text{Bear} & (5, 5) \\
\hline
\text{Tree} & (14, 4) \\
\hline
\text{Heart} & (10, 2) \\
\hline
\text{Hat} & (2, 8) \\
\hline
\text{Flower} & (3, 2) \\
\hline
\text{Fish} & (14, 8) \\
\hline
\end{array}
\]

\boxed{
\begin{array}{|c|c|}
\hline
\text{Symbol} & \text{Coordinates} \\
\hline
\text{Apple} & (3, 10) \\
\hline
\text{Banana} & (17, 2) \\
\hline
\text{Train} & (9, 10) \\
\hline
\text{Arrow} & (8, 8) \\
\hline
\text{House} & (12, 6) \\
\hline
\text{Basketball} & (12, 12) \\
\hline
\text{Bear} & (5, 5) \\
\hline
\text{Tree} & (14, 4) \\
\hline
\text{Heart} & (10, 2) \\
\hline
\text{Hat} & (2, 8) \\
\hline
\text{Flower} & (3, 2) \\
\hline
\text{Fish} & (14, 8) \\
\hline
\end{array}
}