Rectangular Coordinate System2 examples.pptx

cartesian plane

1. Rectangular Coordinate System

2. H G GRADE 12 F GRADE 11 CANTEEN WORKSHOP GARDEN E GRADE 10 D FLAGPOLE GRADE 9 C GUARD HOUSE GRADE 8 B PRINCIPAL’S OFFICE A GRADE 7 1 2 3 4 CANTEEN GRADE 8 GRADE 7 WORKSHOP GUARD HOUSE = 2F = 4C = 3A = 3F = 1C FIND THE COORDINATES

3. CARTESIAN COORDINATE PLANE

4. The rectangular coordinate system consists of two real number lines that intersect at a right angle. The horizontal number line is called the x-axis, and the vertical number line is called the y-axis. These two number lines define a flat surface called a plane, and each point on this plane is associated with an ordered pair of real numbers( x,y ). The first number is called the x-coordinate or the abscissa of the point, and the second number is called the y-coordinate or the ordinate of the point. The intersection of the two axes is known as the origin , which corresponds to the point ( 0, 0 ). The x-axis is often called the axis of abscissa and the y-axis is called as axis of coordinate.

5. The coordinate system we commonly use is called the Cartesian system, after the French mathematician René Descartes (1596-1650), who developed it in the 17th century. Legend has it that Descartes, who liked to stay in bed until late, was watching a fly on the ceiling from his bed. He wondered how to best describe the fly's location and decided that one of the corners of the ceiling could be used as a reference point. René Descartes also known as the Father of Modern Mathematics

6. In quadrant I, both the axis are positive. (+ , +) In quadrant II, x-axis is negative and y-axis is positive. (- , +) In quadrant III, both axis are negative. (- , -) In quadrant IV, x-axis is positive and y-axis is negative. (+ , -) QUADRANTS

7. (-3, 4) (-1, 1) (2, -7) (5, 6) (-3, -2) = QUADRANT II = QUADRANT II = QUADRANT IV = QUADRANT I = QUADRANT III IDENTIFY THE QUADRANTS 6. (1, 4) 7. (2, 0) 8. (0, -8) 9. (1, 6) 10. (-8, -13) = QUADRANT I = NOT IN ANY QUADRANT = NOT IN ANY QUADRANT = QUADRANT I = QUADRANT III

8. PLOTTING THE COORDINATES Plot these pairs 1 2 3 4 5 6 7 -1 -2 -3 -4 -5 -6 -7 1 2 3 4 5 6 8 7 -8 8 -1 -2 -3 -4 -5 -6 -7 y x (3,7) 1. (3,7) 2. (-4,3) (-4,3) 3. (-3,-2) (-3,-2) 4. (4,-6) (4,-6) 5. (5,-2) (5,- 2 )

9. PLOTTING THE COORDINATES Plot these pairs. (-3,7), (-4,-1), (7,-3) and connect 1 2 3 4 5 6 7 -1 -2 -3 -4 -5 -6 -7 1 2 3 4 5 6 8 7 -8 8 -1 -2 -3 -4 -5 -6 -7 y x (-3,7) (-4,-1) (7,-3)

10. PLOTTING THE COORDINATES Plot these pairs. (3,3), (-3,3), (-3,-3),(3,-3) and connect 1 2 3 4 5 6 7 -1 -2 -3 -4 -5 -6 -7 1 2 3 4 5 6 8 7 -8 8 -1 -2 -3 -4 -5 -6 -7 y x (3,3) (-3,3) (-3,-3) (3,-3)

11. PLOTTING THE COORDINATES Plot these pairs. (3,3), (3,-3), (-3,-3),(3,-3) and connect 1 2 3 4 5 6 7 -1 -2 -3 -4 -5 -6 -7 1 2 3 4 5 6 8 7 -8 8 -1 -2 -3 -4 -5 -6 -7 y x (3,3) (-3,3) (-3,-3) (3,-3)

12. WORLD MAP COORDINATES

13. MAP COORDINATES

14. MAP COORDINATES

15. Draw a Cartesian plane and plot the f ollowing points. Then connect all the points according to the sequence of letters indicated below and identify the figure formed. 1. (0, 4) 2. (-3, -4) 3. (4, 1) 4. (-4, 1) 5. (3, -4)