Cartesian Coordination

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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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