6th Grade Math Textbook, Fundamentals

 &KDSWHU

1-11

Key Concept

Graph Coordinates

• Start at the origin, (0, 0).


• Move horizontally along the x-axis the number of units
  indicated by the x-coordinate. Move to the rightfor a
  positivenumber, and move to the leftfor a negativenumber.


• From that location, move vertically the number of units
  indicated by the y-coordinate. Move upfor a positive
  number, and move downfor a negativenumber.


• Draw a dot, and label the point with its coordinates.

The Coordinate Plane

Objective To identify and graph points located in all four quadrants, on the x-axis,

and on the y-axis • To identify the quadrant or axis location of an ordered pair

Russ used graph paper to draw rectangle ABCDon the
grid at the right. The coordinatesthat give the location
of points A, B, C,and Dare A (5, 2), B(3, 2), C(3, 4),
and D(5, 4). How can Russ determine which of the
following points lie inside the rectangle?

E(1, 2),F(4, 5), G(5, 0), H(0, 5), O(0, 0)

The is a grid system formed by two

number lines that cross at their zero points. The point

at which the number lines cross is called the.

The horizontal number line is the. The vertical

number line is the y-axis.

x-axis

origin

coordinate plane

Each point on the grid can be represented by an ordered pairof numbers (x, y)

called the coordinatesof the point. The is the first number in the

ordered pair. It locates the point by telling how many units to the left or right

of the origin the point is. The is the second number in the ordered

pair. It locates the point by telling how many units above or below the origin

the point is.

y-coordinate

x-coordinate

The coordinates that locate a point are called an

because the x-coordinate is always first,

and the y-coordinate is always second.

To determine which points lie inside the rectangle, draw a

coordinate grid on graph paper. Graph points A, B, C, D,and

connect them to form a rectangle. Then graph the other points.

ordered pair

y

x

  













F

A

G

B

C H D

E

 O













y

x

  

























C 

B 

D

 A

Point E is inside the rectangle.

Point F is outside the rectangle.

PointG lies on the rectangle.

Point His outside the rectangle.

Point Ois inside the rectangle.

So points E and Olie inside rectangle ABCD.