Follow directions on a coordinate plane

Learning Objectives Interpret directional commands (e.g., 'move right,' 'move up') on a coordinate plane. Accurately plot a starting point on a coordinate plane given its ordered pair. Determine the new coordinates of a point after following a sequence of horizontal and vertical movements. Trace a path on the coordinate plane by following multiple sequential directions. Identify the final position (ordered pair) of a point after a series of movements. Distinguish between movements along the x-axis and y-axis. Ever wonder how GPS knows exactly where you are and how to get to your destination? 🗺️ It uses a system very similar to what we'll learn today! In this lesson, you'll learn how to interpret and follow directions to move points around on a...

TermDefinitionExample Coordinate PlaneA two-dimensional surface formed by the intersection of two perpendicular number lines, used to locate points.A graph paper grid is a visual representation of a coordinate plane. OriginThe point (0,0) where the x-axis and y-axis intersect on the coordinate plane.If you start at the origin, you are at the center of the coordinate plane. X-axisThe horizontal number line on the coordinate plane, representing horizontal position.Moving 'right' or 'left' changes a point's position along the x-axis. Y-axisThe vertical number line on the coordinate plane, representing vertical position.Moving 'up' or 'down' changes a point's position along the y-axis. Ordered PairA pair of numbers (x, y) that specifies the ex...

Moving Right/Left (Horizontal Movement) To move right by 'a' units, add 'a' to the x-coordinate: $(x, y) \rightarrow (x+a, y)$. To move left by 'a' units, subtract 'a' from the x-coordinate: $(x, y) \rightarrow (x-a, y)$. Horizontal movements affect only the x-coordinate. Moving right increases the x-value, and moving left decreases it. The y-coordinate remains unchanged. Moving Up/Down (Vertical Movement) To move up by 'b' units, add 'b' to the y-coordinate: $(x, y) \rightarrow (x, y+b)$. To move down by 'b' units, subtract 'b' from the y-coordinate: $(x, y) \rightarrow (x, y-b)$. Vertical movements affect only the y-coordinate. Moving up increases the y-value, and moving down decreases it. The...