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Rectangular Coordinate System

The rectangular coordinate system, also known as the Cartesian coordinate system, was developed by the French mathematician René Descartes. It uses two perpendicular number lines, the x-axis and y-axis, that intersect at the origin (0,0) to locate points in a plane. Each point is identified with an ordered pair of numbers known as Cartesian coordinates that represent the distance from the origin on the x-axis and y-axis. The system divides the plane into four quadrants and allows points to be easily plotted and located.

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Rectangular Coordinate System • Also called CARTESIAN COORDINATE SYSTEM. • French mathematician René Descartes (1596 – 1650) who is known as the “Father of Modern Mathematics” , came up with this idea of his coordinate system, the CARTESIAN PLANE.
Parts of the Cartesian Plane • The Cartesian plane is composed of two perpendicular number lines that meet at the point of origin (0, 0) and divide the plane into four regions called Quadrants.
Horizontal line= x-axis Vertical line= y-axis ORIGIN (0,0)
• It is composed of infinitely many points. Each point in the coordinate system is defined by an ordered pair of the form (x, y). • The first coordinate of a point is called the x-coordinate or abscissa and the second coordinate is called the y-coordinate or ordinate.
Horizontal axis= x-axis Vertical axis= y-axis QUADRANT I (+,+) QUADRANT II (-,+) QUADRANT III (-,-) QUADRANT IV (+,-)
GAME TIME!!!
•There are also points which lie in the x- and y-axes. The points which lie in the x- axis have coordinates (x, 0) and the points which lie in the y-axis have coordinates (0, y)
Horizontal axis= x-axis Vertical axis= y-axis (2, 0) (0,-8) (0,8) (-2, 0)
GROUP ACTIVITY: How can the Rectangular Coordinate System be used in real life?
USES: • Finding a particular place on the map. • To locate the seat of your classmate in your classroom using ordered pairs. • Cartesian plane is used in drawing objects.
SHORT QUIZ: Illustrate a Cartesian plane. Plot and label the following points. 1.C(0, 4) 2.2. A(3, -2) 3.3. R(-5, 3) 4. T(0, 7) 5. E(-3, 6)
ASSIGNMENT: Research constellations and their names. Choose the one that you like most. Make your own constellation using graphing paper, ruler, pencil or ballpen, and any coloring material.