1. **Problem:** Teach the 4 quadrants in the $360^\circ$ coordinate plane and draw a diagram. 2. **Formula / rule:** The coordinate plane is split by the $x$-axis and $y$-axis into 4 quadrants. 3. **Quadrant ranges:** - **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 positions in $360^\circ$:** - **Quadrant I:** from $0^\circ$ to $90^\circ$ - **Quadrant II:** from $90^\circ$ to $180^\circ$ - **Quadrant III:** from $180^\circ$ to $270^\circ$ - **Quadrant IV:** from $270^\circ$ to $360^\circ$ 5. **Important rule:** Angles are usually measured counterclockwise starting from the positive $x$-axis. 6. **Quick memory trick:** - Right and up = Quadrant I - Left and up = Quadrant II - Left and down = Quadrant III - Right and down = Quadrant IV 7. **Final answer:** The 4 quadrants in a full $360^\circ$ rotation are I, II, III, and IV, with angle ranges $0^\circ$-$90^\circ$, $90^\circ$-$180^\circ$, $180^\circ$-$270^\circ$, and $270^\circ$-$360^\circ$ respectively.