Graph the lines using the given coordinates to uncover a spring image on the grid.
Educational worksheet: Pin on Ludoteca. Download and print for classroom or home learning activities.
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Step-by-step solution for: Pin on Ludoteca
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Show Answer Key & Explanations
Step-by-step solution for: Pin on Ludoteca
The image you've shared is a coordinate graphing activity titled *"Graphing Spring"*, where the goal is to plot and connect given coordinate pairs on a grid to reveal a hidden image. The instructions say:
> "Graph the lines below to reveal the Spring image."
Let’s analyze and solve this step by step.
---
You are given a list of coordinate pairs (x, y), and you're supposed to:
1. Plot each point on the coordinate plane.
2. Connect the points in order (each pair is connected by a line segment).
3. When all lines are drawn, they will form a picture related to Spring.
The graph already shows a partially completed drawing — but we need to verify if all the lines have been plotted, or perhaps complete the missing parts based on the coordinates listed above.
---
Here are the coordinate pairs from the top of the image, grouped into columns:
```
Column 1:
(15,0)(15,2)
(15,2)(11,5)
(11,5)(11,8)
(11,8)(7,5)
(7,5)(3,3)
(3,3)(1,5)
(1,5)(3,11)
Column 2:
(3,11)(12,18)
(11,8)(19,8)
(13,11)(17,11)
(12,18)(14,19)
(14,19)(15,17)
(15,17)(14,15)
(14,15)(13,11)
Column 3:
(13,11)(11,8)
(15,2)(19,5)
(19,5)(19,8)
(19,8)(23,5)
(11,5)(19,5)
(14,15)(16,15)
(23,5)(27,3)
Column 4:
(27,3)(29,5)
(29,5)(27,11)
(27,11)(18,18)
(18,18)(16,19)
(16,19)(15,17)
(15,17)(16,15)
(16,15)(17,11)
Column 5:
(17,11)(19,8)
(18,18)(19,21)
(19,21)(17,23)
(17,23)(19,27)
(17,23)(13,23)
(13,23)(11,27)
(13,23)(11,21)
Column 6:
(11,21)(12,18)
```
Note: Some points appear multiple times, which suggests overlapping lines or connections.
---
Looking at the graph:
- There's a butterfly-like shape with two wings, a body, and antennae.
- The central part looks like a symmetrical figure with a triangle (body) and two curved wings.
- The bottom part has a rectangle and a triangle beneath it — possibly representing a flower or a basket?
But wait — let’s look closer at the coordinates and see what the full image should be.
---
Let’s trace some of the key segments:
#### 🌸 Possible Flower or Basket?
Look at these points:
- (11,8) → (19,8): horizontal line near the middle
- (11,5) → (19,5): lower horizontal line
- (15,17) → (16,15): diagonal down
- (15,17) → (14,15): diagonal down-left
These suggest a central structure.
Also:
- (13,11) → (17,11): horizontal line across the center
- (11,8) → (11,5): vertical line
- (19,8) → (19,5): vertical line
This looks like a butterfly or dragonfly.
Wait — now let's consider the top parts:
- (11,21) → (12,18)
- (17,11) → (19,8)
- (19,21) → (17,23)
- (19,27) → (13,23)
And the highest point is (19,27) and (11,27)? Wait — (11,27) is mentioned!
Hold on — (11,27) and (19,27) — that’s y=27, the highest point on the graph.
So we have:
- (11,27)
- (13,23)
- (17,23)
- (19,27)
That forms an inverted V shape — maybe antennae?
Then:
- (11,21) → (12,18) → (14,19) → (15,17) → (14,15) → (13,11)
This seems like left wing.
Similarly:
- (17,11) → (19,8) → (19,21) → (17,23) → (13,23) → (11,21)
Wait — this might be right wing?
But notice:
- (11,21) connects to both (12,18) and (13,23)
- (13,23) connects to (11,27) and (17,23)
- (17,23) connects to (19,27) and (19,21)
So the top of the butterfly has:
- Two upward-pointing tips at (11,27) and (19,27)
- Connected via (13,23) and (17,23)
- Then down to (11,21) and (19,21)
This is clearly a butterfly!
---
✔ Conclusion:
When all the coordinate pairs are plotted and connected in order, the resulting image is a butterfly, symbolizing springtime.
The graph already shows most of the butterfly:
- Wings: formed by curves from (11,8) to (19,8) and up to (11,27) and (19,27)
- Body: centered around (15,17) and (15,11)
- Antennae: from (11,21) to (11,27) and (19,21) to (19,27)
---
If you were to do this:
1. Take a blank coordinate grid (0–30 on x and y).
2. Plot each point from the list.
3. Connect them in the order given.
4. You’ll see a butterfly emerge.
It’s a fun way to practice plotting coordinates while creating a spring-themed picture.
---
> The hidden image revealed by graphing the coordinates is a butterfly, a classic symbol of spring.
This activity combines math (graphing coordinates) with art and seasonal themes! 🌸🦋
> "Graph the lines below to reveal the Spring image."
Let’s analyze and solve this step by step.
---
🔍 Understanding the Task
You are given a list of coordinate pairs (x, y), and you're supposed to:
1. Plot each point on the coordinate plane.
2. Connect the points in order (each pair is connected by a line segment).
3. When all lines are drawn, they will form a picture related to Spring.
The graph already shows a partially completed drawing — but we need to verify if all the lines have been plotted, or perhaps complete the missing parts based on the coordinates listed above.
---
✔ Step 1: List All Coordinate Pairs
Here are the coordinate pairs from the top of the image, grouped into columns:
```
Column 1:
(15,0)(15,2)
(15,2)(11,5)
(11,5)(11,8)
(11,8)(7,5)
(7,5)(3,3)
(3,3)(1,5)
(1,5)(3,11)
Column 2:
(3,11)(12,18)
(11,8)(19,8)
(13,11)(17,11)
(12,18)(14,19)
(14,19)(15,17)
(15,17)(14,15)
(14,15)(13,11)
Column 3:
(13,11)(11,8)
(15,2)(19,5)
(19,5)(19,8)
(19,8)(23,5)
(11,5)(19,5)
(14,15)(16,15)
(23,5)(27,3)
Column 4:
(27,3)(29,5)
(29,5)(27,11)
(27,11)(18,18)
(18,18)(16,19)
(16,19)(15,17)
(15,17)(16,15)
(16,15)(17,11)
Column 5:
(17,11)(19,8)
(18,18)(19,21)
(19,21)(17,23)
(17,23)(19,27)
(17,23)(13,23)
(13,23)(11,27)
(13,23)(11,21)
Column 6:
(11,21)(12,18)
```
Note: Some points appear multiple times, which suggests overlapping lines or connections.
---
🧩 Step 2: Analyze the Image Already Drawn
Looking at the graph:
- There's a butterfly-like shape with two wings, a body, and antennae.
- The central part looks like a symmetrical figure with a triangle (body) and two curved wings.
- The bottom part has a rectangle and a triangle beneath it — possibly representing a flower or a basket?
But wait — let’s look closer at the coordinates and see what the full image should be.
---
🐝 Let’s Identify Key Features
Let’s trace some of the key segments:
#### 🌸 Possible Flower or Basket?
Look at these points:
- (11,8) → (19,8): horizontal line near the middle
- (11,5) → (19,5): lower horizontal line
- (15,17) → (16,15): diagonal down
- (15,17) → (14,15): diagonal down-left
These suggest a central structure.
Also:
- (13,11) → (17,11): horizontal line across the center
- (11,8) → (11,5): vertical line
- (19,8) → (19,5): vertical line
This looks like a butterfly or dragonfly.
Wait — now let's consider the top parts:
- (11,21) → (12,18)
- (17,11) → (19,8)
- (19,21) → (17,23)
- (19,27) → (13,23)
And the highest point is (19,27) and (11,27)? Wait — (11,27) is mentioned!
Hold on — (11,27) and (19,27) — that’s y=27, the highest point on the graph.
So we have:
- (11,27)
- (13,23)
- (17,23)
- (19,27)
That forms an inverted V shape — maybe antennae?
Then:
- (11,21) → (12,18) → (14,19) → (15,17) → (14,15) → (13,11)
This seems like left wing.
Similarly:
- (17,11) → (19,8) → (19,21) → (17,23) → (13,23) → (11,21)
Wait — this might be right wing?
But notice:
- (11,21) connects to both (12,18) and (13,23)
- (13,23) connects to (11,27) and (17,23)
- (17,23) connects to (19,27) and (19,21)
So the top of the butterfly has:
- Two upward-pointing tips at (11,27) and (19,27)
- Connected via (13,23) and (17,23)
- Then down to (11,21) and (19,21)
This is clearly a butterfly!
---
🦋 Final Answer: The Image is a Butterfly
✔ Conclusion:
When all the coordinate pairs are plotted and connected in order, the resulting image is a butterfly, symbolizing springtime.
The graph already shows most of the butterfly:
- Wings: formed by curves from (11,8) to (19,8) and up to (11,27) and (19,27)
- Body: centered around (15,17) and (15,11)
- Antennae: from (11,21) to (11,27) and (19,21) to (19,27)
---
✔ How to Solve It Yourself
If you were to do this:
1. Take a blank coordinate grid (0–30 on x and y).
2. Plot each point from the list.
3. Connect them in the order given.
4. You’ll see a butterfly emerge.
It’s a fun way to practice plotting coordinates while creating a spring-themed picture.
---
🎉 Final Answer:
> The hidden image revealed by graphing the coordinates is a butterfly, a classic symbol of spring.
This activity combines math (graphing coordinates) with art and seasonal themes! 🌸🦋
Parent Tip: Review the logic above to help your child master the concept of easy free printable coordinate graphing pictures worksheets.