Rectangular coordinate system

introduction to cartesian pl
ane

1. RECTANGULAR COORDINATE SYSTEM BY: CATHY P. FRANCISCO

2. OBJECTIVES : Define a Cartesian plane. Identify the quadrant/axis does a point lie based on the sign of the coordinates.

3. Review of Number Line 1 2 3 -1 -2 -3 -4 4 What are the parts/composition of a number line? Where is zero in the number line? What integers can be seen on the left side of zero? What about on the right of zero?

4. RECTANGULAR COORDINATE SYSTEM It is also known as xy plane or Cartesian Plane in honor of the French Mathematician Rene Descartes (1596-1650), who is known as the “Father of Modern Mathematics”. It 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. It is composed of infinitely many points. Each point in the coordinate system is defined by an ordered pair of form ( x,y ). The first coordinate of a point is called the x-coordinate or the abscissa. The second coordinate of a point is called the y-coordinate or the ordinate.

5. RENE DESCARTES

6. The sign of the first and second coordinates of point vary in the four quadrants as indicated below: Quadrant I ( + , +) Quadrant II ( - , + ) Quadrant III ( - , - ) Quadrant IV ( + , -) There are also point which lie in 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), where x and y real numbers.

7. CARTESIAN PLANE

8. Identify the coordinates & the quadrant/axis where the following objects were belonged. OBJECT COORDINATES QUADRANT/AXIS Spoon Television set Laptop Bag Pillow Camera table IV IV (-5,6) II (2,-4) (-4,-3) (6,-5) (1,5) (0,0) III (-2,2) origin II I p. 128

9. Write the quadrant/axis where the following points belonged. GIVEN ANSWER A(-2,-6) B(3,-3) C(-1,4) D(5,0) E(0,-2) III IV II x-axis y -axis

10. EVALUATION: What is a Cartesian plane? - It 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. Who is the “Father of Modern Mathematics”? - Rene Descartes

11. Bring the following materials: Graphing paper Ruler Pencil and ballpen Coloring material

12. THANK YOU and SEE YOU TOMORROW!!!