Problem Analysis
The task involves solving a puzzle where letters are transformed using directional arrows (`←`, `→`, `↑`, `↓`) to move through a grid. The goal is to determine the resulting letter after applying the specified sequence of movements starting from a given letter.
#### Grid Layout
The grid is a 7x7 matrix with letters arranged as follows:
```
I G E C X D
K H P W V Y
H X R Y M T
F L Z E K C
D T Q H O E
N J W S U B
```
#### Movement Rules
- `←`: Move left (decrease column index).
- `→`: Move right (increase column index).
- `↑`: Move up (decrease row index).
- `↓`: Move down (increase row index).
If a movement would take you outside the grid, it wraps around to the opposite side of the grid. For example:
- Moving left from the first column wraps to the last column.
- Moving right from the last column wraps to the first column.
- Moving up from the first row wraps to the last row.
- Moving down from the last row wraps to the first row.
#### Example
The example provided is:
- Start with `F`.
- Move `→ → ↓`:
1. `F` → `L` (move right).
2. `L` → `Z` (move right).
3. `Z` → `Q` (move down).
- Result: `Q`.
Solution Approach
For each problem, we will:
1. Identify the starting position of the given letter in the grid.
2. Apply the sequence of movements step by step.
3. Determine the final letter after all movements.
#### Step-by-Step Solutions
1.
S ← ↑ = ?
- Start at `S` (row 5, column 3).
- Move `←`: `S` → `W` (wrap around to column 6).
- Move `↑`: `W` → `P` (move up to row 4).
- Result:
P.
2.
G ↓ ← ← = ?
- Start at `G` (row 1, column 2).
- Move `↓`: `G` → `H` (move down to row 2).
- Move `←`: `H` → `K` (move left).
- Move `←`: `K` → `D` (wrap around to column 7).
- Result:
D.
3.
L → ↑ ↑ = ?
- Start at `L` (row 4, column 2).
- Move `→`: `L` → `Z` (move right).
- Move `↑`: `Z` → `R` (move up).
- Move `↑`: `R` → `E` (move up).
- Result:
E.
4.
O ↑ → = ?
- Start at `O` (row 5, column 5).
- Move `↑`: `O` → `H` (move up).
- Move `→`: `H` → `X` (move right).
- Result:
X.
5.
F → ↑ = ?
- Start at `F` (row 4, column 1).
- Move `→`: `F` → `L` (move right).
- Move `↑`: `L` → `X` (move up).
- Result:
X.
6.
J → → = ?
- Start at `J` (row 6, column 2).
- Move `→`: `J` → `W` (move right).
- Move `→`: `W` → `S` (move right).
- Result:
S.
7.
V ↓ ← = ?
- Start at `V` (row 2, column 5).
- Move `↓`: `V` → `M` (move down).
- Move `←`: `M` → `Y` (move left).
- Result:
Y.
8.
Z ↑ → = ?
- Start at `Z` (row 4, column 3).
- Move `↑`: `Z` → `R` (move up).
- Move `→`: `R` → `Y` (move right).
- Result:
Y.
9.
P ← ↑ = ?
- Start at `P` (row 2, column 3).
- Move `←`: `P` → `H` (move left).
- Move `↑`: `H` → `G` (move up).
- Result:
G.
10.
Q ↓ ← ← = ?
- Start at `Q` (row 4, column 4).
- Move `↓`: `Q` → `H` (move down).
- Move `←`: `H` → `T` (move left).
- Move `←`: `T` → `O` (move left).
- Result:
O.
11.
M ↓ ↓ = ?
- Start at `M` (row 3, column 5).
- Move `↓`: `M` → `O` (move down).
- Move `↓`: `O` → `B` (move down).
- Result:
B.
Final Answers
1.
P
2.
D
3.
E
4.
X
5.
X
6.
S
7.
Y
8.
Y
9.
G
10.
O
11.
B
Bonus Question
The verse "Jesus said, 'I am ___'" is located at positions 1, 2, and 3 in the grid. Using the solved letters:
- Position 1:
P
- Position 2:
D
- Position 3:
E
Thus, the verse is "Jesus said, 'I am
PDE'". This is a reference to John 8:58, where Jesus says, "Before Abraham was born, I am."
Final Answer
\[
\boxed{P, D, E}
\]
Parent Tip: Review the logic above to help your child master the concept of bible worksheet for middle school.
