Quadrants and axes

Learning Objectives Identify and label the x-axis and y-axis on a coordinate plane. Locate and describe the origin (0,0) on a coordinate plane. Identify and label the four quadrants (I, II, III, IV) of a coordinate plane. Determine the quadrant or axis in which a given point (x, y) lies. Plot points in the correct quadrant or on the correct axis given their coordinates. Describe the characteristics of coordinates (positive/negative) within each quadrant. Ever wondered how GPS knows exactly where you are, or how video games track character movement? 🗺️ It all starts with understanding location on a grid! In this lesson, you'll explore the coordinate plane, a fundamental tool in mathematics. We'll learn about its main parts: the x-axis, y-axis, origin, and the four...

TermDefinitionExample Coordinate PlaneA flat surface formed by two intersecting perpendicular number lines, used to locate points.Imagine a grid where you can pinpoint any spot, like a map with streets running east-west and north-south. 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.If you're walking across a field from left to 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.If you're climbing a ladder up or down, you're moving along the y-axis. OriginThe point where the x-axis and y-axis intersect. Its coordinates are (0, 0).The exact center of the coordinat...

Rule for Points on the X-axis A point $(x, y)$ lies on the x-axis if and only if $y = 0$. Any point with a y-coordinate of zero will be found directly on the horizontal x-axis, meaning it has no vertical distance from the origin. Rule for Points on the Y-axis A point $(x, y)$ lies on the y-axis if and only if $x = 0$. Any point with an x-coordinate of zero will be found directly on the vertical y-axis, meaning it has no horizontal distance from the origin. Rule for Quadrant Signs The signs of the coordinates $(x, y)$ determine the quadrant: - Quadrant I: $(+, +)$ - Quadrant II: $(-, +)$ - Quadrant III: $(-,-)$ - Quadrant IV: $(+,-)$ This rule helps quickly identify which of the four regions a point belongs to based on whether its x and y values are positive or negati...