Sally's Join Me Up puzzle challenges you to place numbers 1 to 7 in circles without connecting consecutive numbers.

Problem Description:

The task is to place the numbers 1 through 7 into the circles of a hexagonal grid such that no two consecutive numbers are directly connected by a line. Consecutive numbers are defined as numbers that differ by 1 (e.g., 3 cannot be next to 2 or 4).

Solution Approach:

1. Understand the Grid Structure:
- The grid consists of 7 circles arranged in a hexagonal pattern.
- Each circle is connected to its adjacent circles by lines.

2. Constraints:
- Numbers 1 through 7 must be used exactly once.
- No two consecutive numbers can be directly connected.

3. Strategy:
- Start by placing a number in one of the circles and then systematically fill in the rest while adhering to the constraints.
- Use trial and error, but with logical reasoning to avoid placing consecutive numbers next to each other.

Step-by-Step Solution:

#### Step 1: Label the Circles
Let's label the circles for clarity:
```
A
/ \
B---C
/ \ / \
D---E---F
\ / \
G
```

#### Step 2: Choose a Starting Number
We can start by placing the number 1 in any circle. Let's place it in circle `A`.

#### Step 3: Place Remaining Numbers
- Since 1 is in `A`, the numbers 2 and 7 cannot be in `B` or `C` (adjacent to `A`).
- Next, we can place 2 in a circle that is not adjacent to `A`. Let's place 2 in `D`.
- Now, 1 and 2 are placed. The numbers 3 and 1 cannot be in `B` or `C` (adjacent to `A`), and 3 and 2 cannot be in `E` or `G` (adjacent to `D`).

Following this logic, we can continue filling in the circles:

1. Place 1 in `A`.
2. Place 2 in `D`.
3. Place 3 in `F` (not adjacent to 1 or 2).
4. Place 4 in `C` (not adjacent to 2 or 3).
5. Place 5 in `B` (not adjacent to 3 or 4).
6. Place 6 in `G` (not adjacent to 4 or 5).
7. Place 7 in `E` (the only remaining circle).

#### Final Placement:
```
1
/ \
5---4
/ \ / \
2---7---3
\ / \
6
```

Verification:

- Check all connections to ensure no consecutive numbers are adjacent:
- `A (1)` is connected to `B (5)` and `C (4)`: OK (no consecutive numbers).
- `B (5)` is connected to `A (1)` and `E (7)`: OK.
- `C (4)` is connected to `A (1)` and `F (3)`: OK.
- `D (2)` is connected to `B (5)` and `G (6)`: OK.
- `E (7)` is connected to `C (4)` and `F (3)`: OK.
- `F (3)` is connected to `D (2)` and `G (6)`: OK.
- `G (6)` is connected to `E (7)` and `D (2)`: OK.

All constraints are satisfied.

Final Answer:

\[
\boxed{
\begin{array}{ccc}
& 1 & \\
5 & & 4 \\
& 7 & \\
2 & & 3 \\
& 6 &
\end{array}
}
\]