Quadrants

Learning Objectives Identify the x-axis, y-axis, and origin on a coordinate plane. Describe the positive and negative directions along both the x-axis and y-axis. Define what a quadrant is and explain how the axes divide the plane into four regions. Correctly label and identify Quadrants I, II, III, and IV using Roman numerals. Determine the quadrant in which a given ordered pair (x, y) lies based on the signs of its coordinates. Plot points on a coordinate plane and identify the quadrant they fall into. Distinguish between points located within a quadrant and points located on an axis. Have you ever used a map or played a game where you had to find a specific location? 🗺️ Mathematics uses a special 'map' called a coordinate plane to pinpoint exact spots! In thi...

TermDefinitionExample Coordinate PlaneA flat surface formed by two perpendicular number lines (the x-axis and y-axis), used to locate points.Imagine a grid like a chessboard, but with numbers on the lines extending infinitely in all directions. X-axisThe horizontal number line on the coordinate plane. Positive numbers are to the right of the origin, and negative numbers are to the left.When you walk left or right, you're moving along the x-axis. Y-axisThe vertical number line on the coordinate plane. Positive numbers are above the origin, and negative numbers are below.When you go up or down in an elevator, you're moving along the y-axis. OriginThe point where the x-axis and y-axis intersect. Its coordinates are (0, 0).It's like the 'starting point' or 'cente...

Quadrant I Rule $(x, y)$ where $x > 0$ and $y > 0$ Points in Quadrant I have both positive x-coordinates and positive y-coordinates. This is the top-right section of the coordinate plane. Quadrant II Rule $(x, y)$ where $x < 0$ and $y > 0$ Points in Quadrant II have negative x-coordinates and positive y-coordinates. This is the top-left section of the coordinate plane. Quadrant III Rule $(x, y)$ where $x < 0$ and $y < 0$ Points in Quadrant III have both negative x-coordinates and negative y-coordinates. This is the bottom-left section of the coordinate plane. Quadrant IV Rule $(x, y)$ where $x > 0$ and $y < 0$ Points in Quadrant IV have positive x-coordinates and negative y-coordinates. This is the bottom-right section of the coordinat...