Objects on a coordinate plane - all four quadrants

Learning Objectives Identify and label the x-axis, y-axis, origin, and four quadrants of a coordinate plane. Plot ordered pairs (x, y) in all four quadrants of a coordinate plane. Identify the coordinates of a given point located in any of the four quadrants. Draw simple geometric shapes (e.g., squares, rectangles, triangles) by plotting their vertices on a coordinate plane. Calculate the horizontal and vertical distances between two points on a coordinate plane. Describe the position of an object or point using ordered pairs in all four quadrants. Have you ever used a map to find a hidden treasure or a specific location? 🗺️ Just like maps use grids, mathematicians use a special grid called a coordinate plane to pinpoint exact locations! In this lesson, you'll learn ho...

TermDefinitionExample Coordinate PlaneA two-dimensional surface formed by the intersection of two perpendicular number lines, used to locate points.Imagine a grid where you can place dots to show where things are. X-axisThe horizontal number line on the coordinate plane, representing horizontal positions.It's like the horizon line, stretching left and right. Y-axisThe vertical number line on the coordinate plane, representing vertical positions.It's like a tall building, stretching up and down. OriginThe point where the x-axis and y-axis intersect, represented by the ordered pair (0, 0).This is the 'starting point' or 'home base' of the coordinate plane. Ordered PairA pair of numbers (x, y) that specifies the location of a point on a coordinate plane, where &...

Rule for Plotting an Ordered Pair (x, y) 1. Start at the Origin (0, 0). 2. Move horizontally along the x-axis: right for positive x, left for negative x. 3. From that new position, move vertically along the y-axis: up for positive y, down for negative y. This final spot is your point. This rule tells you the exact steps to follow to place any point on the coordinate plane correctly. Rule for Identifying Quadrants Quadrant I: (x > 0, y > 0) Quadrant II: (x < 0, y > 0) Quadrant III: (x < 0, y < 0) Quadrant IV: (x > 0, y < 0) This rule helps you determine which of the four regions a point lies in based on the signs (positive or negative) of its x and y coordinates. Rule for Horizontal Distance Between Two Points If two points $(x_1, y_1)$ and $(...