Relationship between two variables

Relationship between two variables

This lesson will teach us the basic concepts of relationship between two quantities in the coordinate system. For instances, is y a dependent variable or independent variable? What is domain and range? What is an ordered pair? What is quadrant? And how do we plot points on a graph?

Lessons

Coordinate
System
: A presentation of a real number by points on the real number line using an order pair.

Order
pairs:
A point ( x , y ) on the coordinate plane. Eg. (-3,5), (0,5)…

Origin: The intersection of x-axis and y-axis (0,0) \to ( 0 , 0 )

Relations: Sets of ordered pairs ( x , y )

Domain: All the x-values on the coordinate system

Range: All the y-values on the coordinate system

Independent Variable: The "x" values, which are also known as the inputs when solving for a solution.

Dependent Variable: The "y" values, which are also known as the outputs when solving for a solution.

quadrants on coordinate plane
  • 1.
    Understanding the difference between X & Y
    a)

    Differences between x values and y values


  • 2.
    Express the relation using mapping notation and ordered pairs.
    a)
    x = { -5 , -3 , -1 , 1 , 3 }
    y = { 2 , 4 , 6 , 10 , 12 }

    b)
    x = { -4 , -2 , 0 , 2 , 4 }
    y = { 3 , 3 , 3 , 3 , 3 }

    c)
    (1,3) , (2,2) , (3,1)


  • 3.
    Indicate the quadrant of the following points.
    a)
    (5, -3) (-3, 4) (-4, -3) (2, -6)


  • 4.
    Plot or find the points on the grid
    a)
    Find the coordinates A, B, C & D points

    Find the coordinates on the coordinate plane

    b)
    Plot the following points on the grid:
    (4,5), (-2, 4), (-4,-3) & (5,-6)

    Plot points on coordinate plane