- The problem involves identifying the pattern governing the rotation of arrows in a 7x8 grid.
- Each cell contains an arrow pointing in one of eight cardinal or intercardinal directions, labeled with a number from 0 to 7.
- The key observation is that each row follows a consistent rotational pattern: every subsequent arrow in a row is rotated 45 degrees clockwise (i.e., its label increases by 1 modulo 8) from the previous one.
- For example, Row 1 starts with label 6 at position 1, then 7, 0, 1, 2, 3, 4 — increasing by 1 each time modulo 8.
- Similarly, Row 2 starts with label 8 (which is equivalent to 0 mod 8), then 1, 2, 3, 4, 5, 6 — again increasing by 1 each time modulo 8.
- This pattern holds for all rows: the label in column j of row i is given by `(start_label_i + j - 1) mod 8`, where `start_label_i` is the label in the first column of row i.
- Therefore, the solution is to recognize that each row progresses by incrementing the direction label by 1 (mod 8) from left to right.
Parent Tip: Review the logic above to help your child master the concept of vectors worksheet answers.
