1. Problem: Understand what $360^\circ$ means and identify the quadrants (which angle ranges are in each quadrant). 2. Start with a full turn - A full rotation is $360^\circ$. - We measure angles starting from the positive $x$-axis (to the right) and move counterclockwise. 3. Draw the coordinate plane for the four quadrants - Quadrant I: from $0^\circ$ up to $90^\circ$. - Quadrant II: from $90^\circ$ up to $180^\circ$. - Quadrant III: from $180^\circ$ up to $270^\circ$. - Quadrant IV: from $270^\circ$ up to $360^\circ$. 4. Match “which is which” using signs - In Quadrant I: $x>0$ and $y>0$. - In Quadrant II: $x<0$ and $y>0$. - In Quadrant III: $x<0$ and $y<0$. - In Quadrant IV: $x>0$ and $y<0$. 5. Quick check with common angles - $0^\circ$ (right) and $360^\circ$ are on the positive $x$-axis. - $90^\circ$ (up) is on the positive $y$-axis. - $180^\circ$ (left) is on the negative $x$-axis. - $270^\circ$ (down) is on the negative $y$-axis.