 In mathematics, we use a grid to locate points.

The coordinate plane is formed by the perpendicular intersection of two number lines called axes.

Horizontal axis is called the x-axis

Vertical axis is called the y-axis

The intersection of the two axes is called the origin

The intersection of the two number lines forms four quadrants.

Divides into Four Quadrants I

Divides into Four Quadrants I II

Divides into Four Quadrants I II III

Divides into Four Quadrants I II III IV

Divides into Four Quadrants and… I II III IV

Math Alert The quadrants do not include the axes I II III IV

Math Alert A point on the x or y axis is not in a quadrant I II III IV

Each point in the coordinate plane is associated with an ordered pair, (x,y) (x,y)

The x and y of the ordered pair, (x,y), are called its coordinates (x,y)

Math Alert There is an infinite amount of points in the Cartesian plane

 Always start at (0,0)---every point “originates” at the origin

 In plotting (x,y) ---remember the directions of both the x and y axis y x

 ( x,---) x-axis goes left and right

 ( ---, y ) y-axis goes up and down

 Start at (0,0)  (, ---)  Move right 2 +

 (---, )  (---, 1)  Move up 1 +

 Start at (0,0)  (, ---)  Move right 4 +

 (---, )  (---, -2)  Move down 2 -

 Start at (0,0) (, ---)  Move left 3 -

 (---, )  (---, 5)  Move up 5 +

 Start at (0,0)  (none,---)  No move right or left

 (0, )  (---, 4)  Move up 4 +

 Start at (0,0)  (,---)  Move left 5

 ( ---, 0)  No move up or down

Approximate the coordinates of the point--- Or what is the ‘(x,y)’ of the point? Directions:

Approximate the coordinates of the point Directions:

Approximate the coordinates of the point Directions:

Approximate the coordinates of the point Directions:

Approximate the coordinates of the point Directions:

Approximate the coordinates of the point Directions:

Approximate the coordinates of the point Directions:

Approximate the coordinates of the point Directions:

Approximate the coordinates of the point Directions:

Approximate the coordinates of the point Directions:

Approximate the coordinates of the point Directions:

Approximate the coordinates of the point Directions:

Find the coordinates of the point two units to the left of the y-axis and five units above the x-axis Directions:

Find the coordinates of the point two units to the left of the y-axis and five units above the x-axis Directions:

Find the coordinates of the point on the x-axis and three units to the left of the y-axis Directions:

Find the coordinates of a point on the x-axis and three units to the left of the y-axis Directions: