Cartesian Coordinate System.pdf

math 8

1. THE CARTESIAN
COORDINATE SYSTEM
Mathematics8

2. ACartesianplaneisagraphwith
onex-axisandoney-axis(that’s
whyit’ssometimescalledanXY
graph). These two axes are
perpendicular to each other.
Theorigin(O)isintheexact
centerofthegraph.Numbersto
therightofthezeroonthex-
axisarepositive;numberstothe
leftofzeroarenegative.Forthe
y-axis,numbersbelowzeroare
negative andnumbersaboveare
positive.
What is Cartesian
Coordinate
System/Cartesian Plane?

3. ●FirstQuadrant=Topright.
●SecondQuadrant=Topleft.
●ThirdQuadrant=Bottomleft.
●FourthQuadrant=Bottomright.
Funfact:Theinventionofthis
systemwasrevolutionary forits
time.Itgave usthefirst
systematiclinkbetweenalgebraand
geometry.
Cartesian Plane
Quadrants

4. ●Ordinateandabscissarefer
toorderedpairsona
Cartesianplane.
●Theabscissaisthex-
value(thefirstnumber
inanorderedpair).
●Theordinateisthey-
value(thesecondnumber
inanorderedpair).
Ordinate and Abscissa
on a Cartesian Plane

5. What is an Origin?
It is often denoted by O, and the coordinates are always zero. In one
dimension we simply write the origin as 0; it’s the point where we
start numbering on a number line. You can go in either of two
directions:
●Going left, you would count off negative numbers
●Going right, you would count off with positive numbers.
Either way you can go an infinite distance (to infinityor negative
infinity).
A number line showing the distance between -1 and 1.0is in the center.

6. Intwodimensions, using the
Cartesianplane,anoriginisthe
pointwherethexandyaxes
intersect.Thispointiswritten
as(0,0).
Origin on a
Cartesian Plane

7. Practice Problem
Locate below points on the Cartesian
Coordinate System. Also, mention the
quadrant points belong to.
(i) (2, 3)
(ii) (-3, 1)
(iii) (-1.5, -2.5)
(iv) (0,0)

9. Performance Task
Youarebotharchitectsandengineers,andyouwork
fortheEngineering Department ofyour local
municipality.Yourdepartment headhaschargedyou
withtheresponsibility ofdeliveringtothebarangay
captainsinyourtownathree-dimensional miniature
modelofabusiness thatisdoingverywell
commercially.
Beguidedtothelocationoftheestablishments:
1.School(1,3);Quadrant1
2.MilkteaShop(5,-4);Quadrant4
3.ShoppingMall(-4,-2);Quadrant3
4.AmusementPart(-3,4);Quadrant2
5.Clinic(0,-10);y-axis