To solve this "Graphing Spring" puzzle, we need to plot the points given in the list and connect them with lines. The instructions say to "graph the lines below to reveal the Spring image."
Let's break down how to do this step-by-step using the first few pairs of coordinates to understand the pattern.
Step 1: Understand the Coordinates
Each pair is written as $(x, y)$.
- The first number is the
x-coordinate (how far right to go).
- The second number is the
y-coordinate (how far up to go).
For example, take the first pair: $(13, 27)$ and $(15, 22)$.
1. Find $x = 13$ on the bottom axis. Go up to $y = 27$. Put a dot there.
2. Find $x = 15$ on the bottom axis. Go up to $y = 22$. Put a dot there.
3. Draw a straight line connecting these two dots.
Step 2: Plotting the Lines
The worksheet provides many pairs. Let's look at a few more to see what shape is forming.
- Pair: $(15, 22)$ and $(14, 21)$
- Connect the point from the previous step $(15, 22)$ to $(14, 21)$. This continues the line downwards and slightly left.
- Pair: $(14, 21)$ and $(13, 18)$
- Connect $(14, 21)$ to $(13, 18)$.
- Pair: $(13, 18)$ and $(14, 15)$
- Connect $(13, 18)$ to $(14, 15)$.
If you continue plotting all the pairs listed in the columns, you will notice they form connected segments.
Step 3: Revealing the Image
As you connect all the points according to the list:
- The left side forms a wing shape.
- The right side forms a matching wing shape.
- The middle section forms a body and antennae.
Specifically:
- Points like $(13, 27)$, $(15, 22)$, $(14, 21)$... create the upper left wing.
- Points like $(17, 27)$, $(15, 22)$... create the upper right wing.
- Points around $x=15$ in the lower middle (like $(15, 7)$, $(13, 11)$, $(17, 11)$) form the lower wings and tail.
- Points high up in the middle (like $(13, 27)$ is actually part of the wing, but look at $(15, 22)$ connecting to other central points) help define the center. Actually, looking closely at the provided solution image in the prompt, the lines are already drawn!
Wait, the user uploaded an image that
already has the graph completed. The black lines are already drawn on the grid, forming a clear picture. The text says "Graph the lines below to reveal the Spring image," and the image shows the result of that graphing.
So, the task is effectively asking:
What image is revealed when you graph these lines?
Looking at the completed graph in the image:
- It has two large symmetrical wings on the sides.
- It has a central body.
- It has two antennae sticking up from the top center.
- It has smaller lower wings or tail sections.
This shape is universally recognized as a
butterfly.
Therefore, the "Spring image" revealed by graphing the coordinates is a butterfly.
Final Answer:
The image revealed by graphing the lines is a
butterfly.
Parent Tip: Review the logic above to help your child master the concept of easy coordinate graphing worksheet.
