Graph points on a coordinate plane

Learning Objectives Identify and label the x-axis, y-axis, and origin on a coordinate plane. Explain the meaning of an ordered pair (x, y) and its components. Accurately plot points on a coordinate plane given their ordered pairs, including those with negative integers. Write the ordered pair for a given point on a coordinate plane. Describe the movement required to graph a point from the origin. Identify the quadrant in which a point lies or if it lies on an axis. Ever wonder how GPS knows exactly where you are, or how video games place characters on a screen? 🗺️ It all uses a system very similar to what we'll learn today! In this lesson, you'll learn how to graph points on a coordinate plane using ordered pairs. This fundamental skill helps us describe exact loc...

TermDefinitionExample Coordinate PlaneA two-dimensional surface formed by two intersecting number lines, used to locate points.Imagine a grid like graph paper, where every square has a specific address. Ordered PairA pair of numbers (x, y) that gives the exact location of a point on a coordinate plane. The order matters!The point (3, 5) is different from (5, 3). x-axisThe horizontal number line on the coordinate plane. It measures the horizontal distance from the origin.Think of it as the 'left-right' street. Positive numbers are to the right, negative to the left. y-axisThe vertical number line on the coordinate plane. It measures the vertical distance from the origin.Think of it as the 'up-down' street. Positive numbers are up, negative down. OriginThe point where th...

Plotting a Point from an Ordered Pair $(x, y)$ To graph a point given its ordered pair $(x, y)$: 1. Start at the Origin $(0,0)$. 2. Move horizontally along the x-axis: $|x|$ units to the right if $x$ is positive, or $|x|$ units to the left if $x$ is negative. 3. From that new position, move vertically parallel to the y-axis: $|y|$ units up if $y$ is positive, or $|y|$ units down if $y$ is negative. 4. Mark the point. Identifying an Ordered Pair for a Point $(x, y)$ To identify the ordered pair for a point already on the coordinate plane: 1. Start at the point. 2. Determine its horizontal distance from the y-axis. This is the x-coordinate. It's positive if the point is to the right of the y-axis, negative if to the left. 3. Determine its vertical distance from the x-axi...