1. **Problem:** Understand what $360^\circ$ means and how the quadrants are arranged on the coordinate plane. 2. **Formula / idea:** A full turn around a point is $360^\circ$. The coordinate plane is split into 4 quadrants by the $x$-axis and $y$-axis. 3. **Quadrant rules:** - Quadrant I: $x>0$, $y>0$ - Quadrant II: $x<0$, $y>0$ - Quadrant III: $x<0$, $y<0$ - Quadrant IV: $x>0$, $y<0$ 4. **Angle direction:** Starting from the positive $x$-axis and moving counterclockwise: - $0^\circ$ or $360^\circ$ points to the positive $x$-axis. - $90^\circ$ points to the positive $y$-axis. - $180^\circ$ points to the negative $x$-axis. - $270^\circ$ points to the negative $y$-axis. - Back to $360^\circ$ means one complete circle. 5. **How to remember the quadrants:** - Go counterclockwise from the right side. - Top right is Quadrant I. - Top left is Quadrant II. - Bottom left is Quadrant III. - Bottom right is Quadrant IV. 6. **Final answer:** $360^\circ$ is one full rotation, and the quadrants are numbered I, II, III, IV in counterclockwise order starting from the top-right section.