Position, Direction & Motion | Mathematics for Grade 4 PDF Download

Introduction

In today's class, we will learn about positions, directions, and motion on a 2-D grid. We will understand how to describe positions using coordinates in the first quadrant, plot points on a grid, and complete polygons. We will also explore symmetry and how to recognize and create symmetric figures. Let's dive in!
Describing Positions on a 2-D Grid: A 2-D grid is like a map with two axes - the horizontal x-axis and the vertical y-axis. The point where these axes intersect is called the origin, denoted by (0, 0).

Example: Let's consider a grid where each square represents one unit. Suppose we want to describe the position of a point that is three units to the right and four units up from the origin. We can write the position as (3, 4).
It will be represented as:

Q.1: Plot the point (4, 3) on a graph sheet. It is the same as the point (3, 4)?

Sol:
We can see that (4, 3) is not the same point as (3,4)

Plotting Points and Completing Polygons: To plot a point on a grid, we need to locate its position using coordinates. We move right along the x-axis for positive values and left for negative values. Similarly, we move up along the y-axis for positive values and down for negative values.
Example: