RECTANGULAR COORDINATE SYSTEM OR CARTESIAN PLANE -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 1 2 3 4 5 -5 -4 -3 -2 -1 CONSIST OF TWO NUMBER LINES THAT INTERSECT AT A RIGHT ANGLE
RECTANGULAR COORDINATE SYSTEM OR CARTESIAN PLANE -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 1 2 3 4 5 -5 -4 -3 -2 -1 Y X X- AXIS THE HORIZONTAL LINE Y- AXIS THE VERTICAL LINE COORDINATE AXES COMPOSED OF X- AND Y- AXES
RECTANGULAR COORDINATE SYSTEM OR CARTESIAN PLANE -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 1 2 3 4 5 -5 -4 -3 -2 -1 Y X ORIGIN THE POINT OF INTERSECTION OF THE COORDINATE AXES
RECTANGULAR COORDINATE SYSTEM OR CARTESIAN PLANE ORDERED PAIR OR COORDINATES OF THE POINT IT TELLS THE LOCATION OF A POINT ( X , Y ) X – COORDINATE OR THE ABSCISSA Y – COORDINATE OR THE ORDINATE
RECTANGULAR COORDINATE SYSTEM OR CARTESIAN PLANE -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 1 2 3 4 5 -5 -4 -3 -2 -1 Y X ORIGIN THE POINT OF INTERSECTION OF THE COORDINATE AXES (0, 0)
RECTANGULAR COORDINATE SYSTEM OR CARTESIAN PLANE QUADRANT the four division of the plane which is labeled counterclockwise starting to the upper right corner of the Cartesian Plane QUADRANT I ( + , + ) QUADRANT II ( - , + ) QUADRANT III ( - , - ) QUADRANT IV ( + , - ) ( X , Y )
RECTANGULAR COORDINATE SYSTEM OR CARTESIAN PLANE -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 1 2 3 4 5 -5 -4 -3 -2 -1 Y X QUADRANT I ( + , + ) QUADRANT II ( - , + ) QUADRANT III ( - , - ) QUADRANT IV ( + , - )
RECTANGULAR COORDINATE SYSTEM OR CARTESIAN PLANE -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 1 2 3 4 5 -5 -4 -3 -2 -1 Y X EXAMPLE NO. 1 PLOT POINT A ( 4, 2 ) A (4, 2)
RECTANGULAR COORDINATE SYSTEM OR CARTESIAN PLANE -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 1 2 3 4 5 -5 -4 -3 -2 -1 Y X EXAMPLE NO. 2 PLOT POINTS A ( -1, 2 ), B ( 3, 3) AND C (2, -3) A (-1,2) B (3,3) C (2,-3)
RECTANGULAR COORDINATE SYSTEM OR CARTESIAN PLANE -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 1 2 3 4 5 -5 -4 -3 -2 -1 Y X EXAMPLE NO. 3 FIND THE COORDINATES OF THE POINTS AND ITS QUADRANT (5,4) QUADRANT I J K L M (-3,1) QUADRANT II (-6,0) ALONG X-AXIS (4,-4) QUADRANT IV
GROUP ACTIVITY 2. Connect the points in alphabetical order then connect the last letter to the first letter. What figure do the points make? A(-6,1) B(-6,3) E(0,3) F(2, 5) 1. Make a Cartesian plane on a manila paper. Use your 1x1 pictures to plot the following points: (note: each member must answer one item only) 3. How can you relate the points being connected and the figure to how a group must work? C(-4,5) D(-2, 5) G(4,5) H(6,3) I(6,1) J(0,-5)
RECTANGULAR COORDINATE SYSTEM OR CARTESIAN PLANE
RECTANGULAR COORDINATE SYSTEM OR CARTESIAN PLANE -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 1 2 3 4 5 -5 -4 -3 -2 -1 Y X QUADRANT I ( + , + ) YOU AND OTHERS KNOW QUADRANT II ( - , + ) YOU DON’T KNOW BUT OTHERS KNOW QUADRANT III ( - , - ) YOU AND OTHERS DON’T KNOW QUADRANT IV ( + , - ) YOU KNOW BUT OTHERS DON’T KNOW ABSCISSA = YOU ORDINATE = OTHERS
SEATWORK I. DETERMINE THE COORDINATES AND QUADRANT OF THE FOLLOWING POINT K L M N O P Q R S T (-7,5) (-6,-3) (6,0) (2,4) (8,-5) (-3,4) (-3,-4) (-1,0) (0,-4) (4,-4) X Y -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 K L M N O P Q R S T QII QIII along x-axis QI QIV QII QIII along x-axis along y-axis QIV
REFERENCES Grade 8 Mathematics (Patterns and Practicalities) By Gladys C. Nivera pp. 157 – 163 Conceptual Math and Beyond I Elementary Algebra By Liwag et al pp. 263 – 269