4 Free Spring Graphing Math Worksheets - Our Family Code - Free Printable

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 spring-themed image.

Let’s analyze and solve this step-by-step.

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🔍 Objective

Plot the following line segments (pairs of coordinates) on the grid, connecting each pair in order, to reveal a spring-themed picture.

We are given these coordinate pairs:

```
(9,0)(9,5)
(9,5)(7,8)
(7,8)(5,9)
(5,9)(2,9)
(2,9)(3,6)

(3,6)(5,5)
(5,5)(9,5)
(9,5)(9,11)
(9,11)(10,12)
(10,12)(12,13)

(12,13)(13,15)
(13,15)(13,20)
(13,20)(12,18)
(12,18)(11,20)
(11,20)(9,20)

(9,20)(7,20)
(7,20)(6,18)
(6,18)(5,20)
(5,20)(5,15)
(5,15)(6,13)

(6,13)(8,12)
(8,12)(9,11)
```

Note: Some points are repeated, which helps close shapes or create continuity.

---

✔ Step-by-Step Solution

Let’s interpret what's already drawn and what needs to be added.

Looking at the current graph, we can see:
- A leaf-like shape with a stem.
- The stem goes from (9,0) up to (9,5), then curves into a leaf.
- The top part of the leaf has a jagged outline resembling a maple leaf.
- There's a smaller shape near the bottom-left — possibly a flower or bud.

But the instructions say: *"Graph the lines below to reveal the Spring image."*

So, we need to plot all the listed lines on the graph. Let's go through them.

---

📌 Plotting Each Segment

We'll go one by one and describe what they draw.

#### 1. Stem
- (9,0) → (9,5): Vertical line up the stem.
- (9,5) → (7,8): Diagonal upward left.
- (7,8) → (5,9): Slight diagonal left.
- (5,9) → (2,9): Horizontal left.
- (2,9) → (3,6): Diagonal down right.

This creates the bottom-left curve of the leaf base.

#### 2. Left Side of Leaf
- (3,6) → (5,5): Down-right.
- (5,5) → (9,5): Horizontal right (base of leaf).
- (9,5) → (9,11): Up vertical.
- (9,11) → (10,12): Up-right.
- (10,12) → (12,13): Up-right.

This forms the left side of the leaf, rising toward the top.

#### 3. Top of Leaf
- (12,13) → (13,15): Up-right.
- (13,15) → (13,20): Vertical up.
- (13,20) → (12,18): Down-left.
- (12,18) → (11,20): Up-left.
- (11,20) → (9,20): Left horizontal.

This creates the top peak of the leaf.

#### 4. Right Side of Leaf
- (9,20) → (7,20): Left horizontal.
- (7,20) → (6,18): Down-left.
- (6,18) → (5,20): Up-left (this seems odd, but let's check).

Wait: (6,18) → (5,20): That’s up and left — not typical for a leaf.

But next:
- (5,20) → (5,15): Down vertical.
- (5,15) → (6,13): Down-right.

Hmm — this suggests a second smaller leaf or petal?

Wait — perhaps it's not a single leaf?

Let’s look again.

Wait — there’s an issue: (6,18) → (5,20) is upward, but (5,20) is higher than (6,18). So this might be a typo? Or intentional?

But let’s check the full sequence.

Actually, looking at the current drawing:
- We already have a large leaf centered around x=9–13, y=10–20.
- But the lower-left shape (from (2,9) to (5,5)) appears to be a blossom or flower.

Wait — now I see it!

Let’s reevaluate.

---

🌸 What Is the Image?

After plotting all the lines, the shape resembles a flower with a leaf.

But wait — the already-drawn image shows:
- A large leaf (like a maple leaf) with a stem.
- A smaller shape below and to the left — maybe a bud or flower.

But the coordinates provided include both the stem and leaf, and also additional lines that seem to form a flower.

Wait — actually, the current drawing already includes most of the leaf. But the instructions ask us to *graph the lines below* to reveal the spring image.

So perhaps the image isn’t fully drawn yet, and we’re supposed to connect the dots using the given coordinates.

But the graph already has some black lines drawn.

Wait — let’s compare.

Looking closely at the existing drawing:
- It starts at (9,0), goes up to (9,5), then to (7,8), (5,9), (2,9), (3,6), etc.
- Then it goes to (5,5), (9,5), (9,11), (10,12), (12,13), (13,15), (13,20), (12,18), (11,20), (9,20), (7,20), (6,18), (5,20), (5,15), (6,13), (8,12), (9,11).

So the entire path is already drawn.

But the last segment is (8,12) → (9,11), which connects back to the earlier point.

And (9,11) is already connected to (9,5), so it closes the loop.

Therefore, all the lines are already plotted.

So the spring image is already revealed.

---

🌿 What Is the Image?

It looks like a maple leaf with a stem, and possibly a small flower or bud at the bottom-left.

But let’s examine the lower-left shape:

From (2,9) → (3,6) → (5,5) → (5,9)? Wait — no.

Wait — (2,9) → (3,6) is one line.

Then (3,6) → (5,5): down-right.

Then (5,5) → (9,5): right.

But (5,5) is also connected to (9,5), which is the base of the leaf.

But the shape from (2,9) to (3,6) to (5,5) to (5,9)? No — (5,9) is above (5,5).

Wait — let’s list the lower-left points:

- (2,9)
- (3,6)
- (5,5)
- (5,9)

But (5,9) is already part of the main leaf.

So the path is:

- (2,9) → (3,6)
- (3,6) → (5,5)
- (5,5) → (9,5)
- (9,5) → (7,8) → (5,9) → (2,9)

So (2,9) is connected to (5,9) via (7,8), forming a loop.

But (2,9) → (3,6) → (5,5) → (9,5) → (7,8) → (5,9) → (2,9)

This forms a closed shape — a blossom or flower?

Wait — actually, (2,9) → (3,6) → (5,5) → (9,5) → (7,8) → (5,9) → (2,9)

That’s a polygon with vertices at:

- (2,9)
- (3,6)
- (5,5)
- (9,5)
- (7,8)
- (5,9)
- back to (2,9)

But (5,9) → (2,9) is horizontal.

So this is a star-shaped or flower-shaped figure?

Wait — let’s plot just the lower-left portion:

- (2,9) → (3,6): down-right
- (3,6) → (5,5): down-right
- (5,5) → (9,5): right
- (9,5) → (7,8): up-left
- (7,8) → (5,9): up-left
- (5,9) → (2,9): left

This forms a six-pointed star or flower?

No — more like a butterfly or blossom.

But the main shape is clearly a leaf.

Wait — now I see it!

The entire shape is a single maple leaf, and the lower-left part is the vein or base of the leaf.

But the point (2,9) is far left — so maybe it's a budding flower?

Alternatively, perhaps the image is a tulip or flower with a leaf.

But the title is "Graphing Spring", so likely a flower or plant.

But the drawn shape looks like a maple leaf.

Wait — let’s count the points.

Actually, after plotting all the lines, the final image is a large maple leaf with a stem, and the lower-left shape is the base of the leaf.

But the point (2,9) is way off — too far left.

Wait — let’s check the actual coordinates:

- (2,9) → (3,6): from x=2 to x=3, y=9 to y=6 — this is a diagonal.
- Then (3,6) → (5,5): continues.
- Then (5,5) → (9,5): horizontal.
- Then (9,5) → (7,8): up-left.
- (7,8) → (5,9): up-left.
- (5,9) → (2,9): left.

So the loop from (2,9) to (5,9) is a horizontal line, but it's not closed yet.

Wait — the only way this makes sense is if the entire shape is a leaf with a wavy base, and the lower-left part is a petal or bud.

But upon closer inspection, the image already drawn matches the given coordinates, so the spring image is already complete.

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✔ Final Answer

The Spring image revealed by plotting the given coordinate pairs is a maple leaf with a stem.

The coordinates trace out:
- A stem from (9,0) to (9,5)
- A leaf blade with a jagged edge (like a maple leaf)
- A base extending to the left, forming a symmetrical shape

The final image is a stylized maple leaf, which is a common symbol of spring in many regions.

Even though the title says “Spring,” the image is a leaf, which could represent new growth in spring.

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🎯 Conclusion

✔ The problem is solved by plotting all the given coordinate pairs on the grid and connecting them in order.

✔ The resulting image is a maple leaf, representing springtime renewal.

✔ The drawing is already completed in the image you provided — all the lines are drawn.

So the solution is: The spring image is a maple leaf, formed by connecting the given coordinate pairs.

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If you were to do this yourself:
1. Start at (9,0)
2. Connect each pair in order
3. Close the shape by returning to the start (though not explicitly stated, the last point connects back)

And you’ll get a beautiful maple leaf — a perfect symbol of spring! 🌿

Let me know if you'd like a visual guide or a downloadable version!