8/6/2019 Cartesian Coordination

1/17

Cartesian Coordinate system

Than Nguyen

8/6/2019 Cartesian Coordination

2/17

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.

8/6/2019 Cartesian Coordination

3/17

Cartesian System

A Cartesian coordinate system, alsoknown as rectangular coordinate system,

can be used to plot points and graph lines

8/6/2019 Cartesian Coordination

4/17

Caresian System

Four Quardr

ants

8/6/2019 Cartesian Coordination

5/17

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)

8/6/2019 Cartesian Coordination

6/17

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

8/6/2019 Cartesian Coordination

7/17

Coordination of M(x, y)

Example.

P

(

Coordination of:

M(2, 3), N(- 3, 1),

and P(- 1.5, - 2.5)

M

N

PP

8/6/2019 Cartesian Coordination

8/17

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) ?

8/6/2019 Cartesian Coordination

9/17

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) ?

8/6/2019 Cartesian Coordination

10/17

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) ?

8/6/2019 Cartesian Coordination

11/17

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).

8/6/2019 Cartesian Coordination

12/17

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) ?

8/6/2019 Cartesian Coordination

13/17

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?

8/6/2019 Cartesian Coordination

14/17

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)

8/6/2019 Cartesian Coordination

15/17

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)

8/6/2019 Cartesian Coordination

16/17

Family Activity

All membersin family to participatetosolve

math problems. Childrenhave many

opportunitiestostudy the Cartesian

coordinatesystem well, improvingtheir

math abilities.

8/6/2019 Cartesian Coordination

17/17