Objects on a coordinate plane

Learning Objectives Identify and label the x-axis, y-axis, and origin on a coordinate plane. Accurately plot points in all four quadrants given ordered pairs. Determine the coordinates of a given point on a coordinate plane. Draw simple geometric shapes by plotting their vertices on a coordinate plane. Describe the location of objects using ordered pairs and quadrant names. Calculate the horizontal and vertical distances between two points on a coordinate plane. Ever wondered how a treasure map works, or how GPS knows exactly where you are? 🗺️ It's all thanks to a special grid system! In this lesson, you'll learn how to use a coordinate plane to precisely locate and describe points and shapes. This skill is super important for understanding maps, designing things,...

TermDefinitionExample Coordinate PlaneA flat surface formed by two perpendicular number lines, used to locate points.Imagine a checkerboard or a grid paper; that's like a coordinate plane. x-axisThe horizontal number line on the coordinate plane.When you look at a graph, the line going left-to-right is the x-axis. y-axisThe vertical number line on the coordinate plane.The line going up-and-down on a graph is the y-axis. OriginThe point where the x-axis and y-axis intersect, represented by the ordered pair (0,0).The very center of the coordinate plane, where you start counting, is the origin. Ordered PairA pair of numbers (x, y) that gives the exact location of a point on the coordinate plane.The ordered pair (3, -2) tells you to go 3 units right and 2 units down from the origin. Quad...

Plotting a Point To plot a point `P(x, y)`: Start at the origin `(0,0)`. Move `|x|` units horizontally (right if `x` is positive, left if `x` is negative). Then, move `|y|` units vertically (up if `y` is positive, down if `y` is negative). This rule tells you the exact steps to place any point on the coordinate plane using its ordered pair. Remember to always move horizontally first, then vertically. Horizontal Distance Between Two Points For two points `(x_1, y)` and `(x_2, y)` that share the same y-coordinate, the horizontal distance `D_h` is given by `D_h = |x_2 - x_1|`. Use this rule to find the length of a horizontal line segment. It's the absolute difference between the x-coordinates, ensuring the distance is always positive. Vertical Distance Between Two Poin...