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Cartesian Coordinate system
Than Nguyen
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Activity Description
Learning about Cartesian Coordinate
System.
Someone in family study how to solvemath problem using Cartesian coordinate
system
All people in family are ready study. Start.
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Cartesian System
A Cartesian coordinate system, alsoknown as rectangular coordinate system,
can be used to plot points and graph lines
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Caresian System
Four Quardr
ants
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Caresian System
Four Qua
rdra
nts
The horizontal line is called x-axis and the vertical line is
called y-axis
It has 4 quadrants.
In quadrant I, x and y are positive
In quadrant II, x is negative, but y is positive
In quadrant III, x and y are negative
In quadrant IV, x is positive, but y is negative
The center, or intersection of the two axis is equal to (0,0)
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The Coordination of M(x, y)
Locate point
M(2, 3):
x = 2, y = 3.
2 4
3
O
M(2, 3)
5
x
x
y y
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Coordination of M(x, y)
Example.
P
(
Coordination of:
M(2, 3), N(- 3, 1),
and P(- 1.5, - 2.5)
M
N
PP
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Family Activity # 1.
All members in fa
mily rea
dya
nswer.
Question: 1- On the Cartesian coordinate system. Find
coordination of H(5, 4), K(3, 2), R(- 4, -5) ?
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Family Activity # 2
Pra
ctice.
Questions # 2.
On the coordination xx, yy.
Draw the line cross over two points A(2, 3), and B(5, 7) ?
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Family Activity # 3
Question # 3.
On the coordination xx, yy
a- Draw the line cross over two pointsA(2, 3), and B(5, 7) ?
b- Draw the line cross over two points
C(7, 4), and D(2, 7) ?
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Family Activity # 4
- All members in family participate to
discuss to find the equation of the line.
The equation of the line always be written
as y = mx + b, where m is slope of the
line, and b is y-intercept of the line, and
m = (y1 y2) / (x1 - x2).
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Family Activity # 5
Questions:
1- Find the equation of the line AB cross
over two points
A(3, 5), and B(4, 7)
2- Find the equation of the line CD cross
over two points C(6, 2), and D(2, 6) ?
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Family Activity # 5
All members in family to participate tosolve problems.
Questions # 3
Draw the line AB of equation2x + y = 9 (1),
and the line CD of equation
x + y = 7 (2).
Two lines AB, and CD intersects at M.
Coordination of M is the solution of two
equation (1), and (2). Find coordination of M?
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Family Activity # 6
All members in family to participate tosolve problems
Questions # 4
Find the value of x and y on the Cartesian
coordination system of system of
equations
2x + y = 9 (1)
x + y = 7 (2)
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Family Activity # 7.
All members in family to participate to
solve problems
Solve by graphs the system of equations:
2x + 3y = 11 (1)
3x + 2y = 9 (2)
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Family Activity
All membersin family to participatetosolve
math problems. Childrenhave many
opportunitiestostudy the Cartesian
coordinatesystem well, improvingtheir
math abilities.
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