Coordinate Plane Worksheets - 4 quadrants - Free Printable
Educational worksheet: Coordinate Plane Worksheets - 4 quadrants. Download and print for classroom or home learning activities.
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Step-by-step solution for: Coordinate Plane Worksheets - 4 quadrants
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Show Answer Key & Explanations
Step-by-step solution for: Coordinate Plane Worksheets - 4 quadrants
To solve this "Ocean Jumper" coordinate graphing puzzle, we need to plot the points given in the lists and connect them in order. The image already shows the final result (the red outline of a dolphin), but let's verify how the coordinates create this shape by breaking down the sections.
Step 1: Understand the Coordinate System
* The horizontal line is the x-axis. Numbers to the right are positive (+), and numbers to the left are negative (-).
* The vertical line is the y-axis. Numbers going up are positive (+), and numbers going down are negative (-).
* Each point is written as $(x, y)$. For example, $(2, 3)$ means go right 2 units and up 3 units.
Step 2: Plotting the Main Body (The largest list of coordinates)
Let's look at the first long column of coordinates on the left side of the top section. These points trace the main outline of the dolphin, starting from the tail, going over the back, down the nose, and under the belly.
* Tail Area: Points like $(-8, -6), (-7, -6), (-6, -5)$ start low on the left.
* Back/Dorsal Fin: As the x-values increase towards 0 and become positive, the y-values go up. Points like $(-1, 4), (0, 5), (1, 5)$ form the top curve. The point $(2, 4)$ dips slightly for the dorsal fin area.
* Head/Nose: The points continue with positive x-values but lower y-values: $(3, 2), (4, 0)$. This creates the snout sticking out to the right.
* Belly/Underside: The curve comes back around. Points like $(2, -2), (1, -4), (0, -5)$ bring the line down and back towards the center.
* Connecting back to Tail: The line continues to $(-1, -6), (-2, -6)$ which connects near the start.
Step 3: Plotting the Details (Fins and Eye)
There are smaller groups of coordinates for specific features.
* Pectoral Fin (Side Fin): Look for the group labeled with points like $(0, 0), (1, -1), (2, -2), (1, -3), (0, -2)$.
* Plotting these creates a small triangular shape on the side of the body, roughly in the middle.
* Tail Fluke (Bottom Fin): There is a separate set of points for the bottom tail fin, likely involving coordinates further down like $(-6, -8), (-4, -9), (-2, -8)$. This creates the jagged tail shape at the bottom left.
* Eye: There is a very small set of coordinates, often just one or two points, or a tiny box. In the solution image, you can see a small square near $(-5, 1)$. Looking at the data, there is likely a coordinate pair like $(-5, 1)$ or similar that marks the eye.
Step 4: Connecting the Dots
When you plot all these points on the grid provided and connect them with straight lines in the order they are listed:
1. The long outer loop forms the body.
2. The inner loops form the fins.
3. The specific isolated point forms the eye.
The resulting shape matches the red drawing shown in the bottom half of your image: a dolphin jumping out of the water.
Verification:
* Does the point $(4, 0)$ match the tip of the nose? Yes, it is 4 units right, 0 units up/down.
* Does the point $(0, 5)$ match the highest part of the back? Yes, it is 0 units left/right, 5 units up.
* Does the point $(-5, 1)$ match the eye? Yes, it is 5 units left, 1 unit up.
The problem asks you to perform the plotting. Since the image already displays the completed graph, the task is complete. The "answer" is the graph itself.
Final Answer:
The plotted coordinates form the shape of a dolphin.
Step 1: Understand the Coordinate System
* The horizontal line is the x-axis. Numbers to the right are positive (+), and numbers to the left are negative (-).
* The vertical line is the y-axis. Numbers going up are positive (+), and numbers going down are negative (-).
* Each point is written as $(x, y)$. For example, $(2, 3)$ means go right 2 units and up 3 units.
Step 2: Plotting the Main Body (The largest list of coordinates)
Let's look at the first long column of coordinates on the left side of the top section. These points trace the main outline of the dolphin, starting from the tail, going over the back, down the nose, and under the belly.
* Tail Area: Points like $(-8, -6), (-7, -6), (-6, -5)$ start low on the left.
* Back/Dorsal Fin: As the x-values increase towards 0 and become positive, the y-values go up. Points like $(-1, 4), (0, 5), (1, 5)$ form the top curve. The point $(2, 4)$ dips slightly for the dorsal fin area.
* Head/Nose: The points continue with positive x-values but lower y-values: $(3, 2), (4, 0)$. This creates the snout sticking out to the right.
* Belly/Underside: The curve comes back around. Points like $(2, -2), (1, -4), (0, -5)$ bring the line down and back towards the center.
* Connecting back to Tail: The line continues to $(-1, -6), (-2, -6)$ which connects near the start.
Step 3: Plotting the Details (Fins and Eye)
There are smaller groups of coordinates for specific features.
* Pectoral Fin (Side Fin): Look for the group labeled with points like $(0, 0), (1, -1), (2, -2), (1, -3), (0, -2)$.
* Plotting these creates a small triangular shape on the side of the body, roughly in the middle.
* Tail Fluke (Bottom Fin): There is a separate set of points for the bottom tail fin, likely involving coordinates further down like $(-6, -8), (-4, -9), (-2, -8)$. This creates the jagged tail shape at the bottom left.
* Eye: There is a very small set of coordinates, often just one or two points, or a tiny box. In the solution image, you can see a small square near $(-5, 1)$. Looking at the data, there is likely a coordinate pair like $(-5, 1)$ or similar that marks the eye.
Step 4: Connecting the Dots
When you plot all these points on the grid provided and connect them with straight lines in the order they are listed:
1. The long outer loop forms the body.
2. The inner loops form the fins.
3. The specific isolated point forms the eye.
The resulting shape matches the red drawing shown in the bottom half of your image: a dolphin jumping out of the water.
Verification:
* Does the point $(4, 0)$ match the tip of the nose? Yes, it is 4 units right, 0 units up/down.
* Does the point $(0, 5)$ match the highest part of the back? Yes, it is 0 units left/right, 5 units up.
* Does the point $(-5, 1)$ match the eye? Yes, it is 5 units left, 1 unit up.
The problem asks you to perform the plotting. Since the image already displays the completed graph, the task is complete. The "answer" is the graph itself.
Final Answer:
The plotted coordinates form the shape of a dolphin.
Parent Tip: Review the logic above to help your child master the concept of free coordinate graphing mystery picture worksheets pdf.