Halloween math worksheets combining coordinate graphing with integer operations to create fun, seasonal images.

This image displays two Halloween-themed math worksheets designed to teach integer operations through a "graphing mystery picture" activity. The goal is to solve the math problems to find ordered pairs (x, y), plot them on the coordinate grid, and connect the dots to reveal a picture.

I will solve this problem by first understanding the instructions and then working through the math problems on one of the worksheets to demonstrate the process.

Step 1: Understand the Activity

The core concept is straightforward:
1. Solve Math Problems: Each worksheet has a table with columns for "X-Coordinate" and "Y-Coordinate". These are not numbers but arithmetic expressions involving integers (positive and negative whole numbers).
2. Calculate Ordered Pairs: For each row, you must calculate the result of the expression in the X-Coordinate column and the Y-Coordinate column. This gives you an ordered pair, like `(-9, 5)`.
3. Plot and Connect: You then plot that point on the corresponding coordinate grid and connect it to the next point in sequence to gradually form a picture.

The theme "TRICK OR TREAT" and "DON'T BE TRICKED. INTEGERS ARE A TREAT!" suggests the activity is meant to be fun and engaging, turning potentially tricky integer arithmetic into a rewarding puzzle.

Step 2: Examine the Worksheets

There are two distinct worksheets shown:

* Left Worksheet (Pumpkin): Features a completed, colored pumpkin. The math problems involve addition and subtraction of integers.
* Example problems: `(-12) + 3`, `(-6) - 3`, `10 - 14`, etc.
* Right Worksheet (Ghost): Features a completed, colored ghost. The math problems involve multiplication and division of integers.
* Example problems: `(-3) x (3)`, `(64) ÷ (-8)`, `(-12) ÷ (-6)`, etc.

Since both worksheets follow the same principle, I will solve the first few problems from the left worksheet (pumpkin) to illustrate the solution.

Step 3: Solve the Math Problems (Pumpkin Worksheet)

Let's calculate the ordered pairs for the first few rows of the pumpkin worksheet. We need to remember the rules for adding and subtracting integers:
* Adding a negative is the same as subtracting a positive.
* Subtracting a negative is the same as adding a positive.

Here are the calculations for the first section:

| Row | X-Coordinate Calculation | X-Coordinate Result | Y-Coordinate Calculation | Y-Coordinate Result | Ordered Pair |
| :--- | :--- | :--- | :--- | :--- | :--- |
| 1 | `(-12) + 3` | `-9` | `(-3)` | `-3` | `(-9, -3)` |
| 2 | `(-6) - 3` | `-9` | `(-1)` | `-1` | `(-9, -1)` |
| 3 | `-11 + 3` | `-8` | `(-7)` | `-7` | `(-8, -7)` |
| 4 | `-10 - (-3)` | `-10 + 3 = -7` | `(-5)` | `-5` | `(-7, -5)` |
| 5 | `-3 - 1` | `-4` | `(-4)` | `-4` | `(-4, -4)` |
| 6 | `10 - 14` | `-4` | `-2 + (-6)` | `-2 - 6 = -8` | `(-4, -8)` |

Step 4: Plot the Points

To complete the activity, a student would take these calculated ordered pairs and plot them on the grid provided on the worksheet. For example:
- They would find the point where `x = -9` and `y = -3` and mark it.
- Then they would find the point where `x = -9` and `y = -1` and mark it.
- They would continue this for all the points and then connect them in order (from "Start" to "Stop") with straight lines.

As more points are plotted and connected, the outline of the jack-o'-lantern begins to appear, just as shown in the finished, colored version in the image.

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Final Answer

The problem presented in the image is a set of "mystery graph" math worksheets. To solve it, you must:

1. Perform Integer Arithmetic: Calculate the value of each expression in the "X-Coordinate" and "Y-Coordinate" columns. This involves applying the rules for adding, subtracting, multiplying, or dividing positive and negative integers.
2. Generate Ordered Pairs: The results of the calculations form ordered pairs `(x, y)`.
3. Graph the Solution: Plot each ordered pair on the provided coordinate plane and connect the points sequentially.

By completing all the calculations and plotting the points, the student reveals a hidden Halloween picture—the pumpkin on the left worksheet and the ghost on the right worksheet. The "solution" to the problem is therefore the completed, correctly graphed image, which serves as both the answer and a visual reward for mastering the integer operations.