5th Grade - Points On The Coordinate Plane

 
     
 
     
 
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5th
Graphs
Points on the Coordinate Plane
Identify and graph ordered pairs in the four quadrants of the coordinate plane.
Ability to locate and draw points anywhere on a coordinate grid. Ability to graph ordered pairs.
 

Sample Problems

(1)

Graph and label the ordered pair.

( 5,4)

(2)

Graph and label the ordered pair.

(0,6)

(3)

Identify each ordered pair for each point.


Point A ________ (3,5)


Point B ________ (4,6)


Point C_________ (7,4)


Point D_________ (1,8)













(4)

Name the ordered pair described.


Start at the origin. Move 4 units to the right and 6 units up. (4,6)

(5)

Name the ordered pair described.


Start at the origin. Move 8 units to the left and 4 units up. (-8, 7)

Learning Tips

(1)

Math Vocabulary

Ordered pair- a pair of numbers used to locate a point on a grid

Coordinate plane: plane formed by the perpendicular intersection of two number lines.

Coordinates: numbers in the form of an ordered pair that identify a position on the coordinate plane.

x-axis: The line on a graph that runs horizontally (left-right) through zero.

y-axis: The line on a graph that runs vertically (up-down) through zero.

Origin: point where the x- axis and the y-axis intersect (0,0)

(2)

Have your child practice ordered pairs by understanding which axis is which. The x-axis runs horizontally and the y-axis runs vertically.


The first number in an ordered pair shows the number of units for the x-axis. The second number of units is to be placed according to the y-axis.


When naming a point on a grid, make sure your child writes the number in the correct order. ( x,y)


Important: Always go to the right or left (negative numbers) of the origin for the x-axis and up or down (negative numbers) for the y-axis.

(3)

If your child is confused about the x and y axis have them “act out” which way each axis runs.

For example, have your child put one of their arms horizontally in front of their body. Tell them this represents the x-axis because it goes across The y-axis is demonstrated by holding their arm vertically in front of them. Tell them they can move their arm up or down, just like the y-axis.

Encourage them to physically do this representation of the axis so they don’t make careless mistakes when graphing on coordinate planes.

(4)

I your child continues to transpose the x and y axis, have them draw an arrow up or across above each ordered pair.

For example, in the following problem (3,9) above the 3 draw a horizontal arrow and above the 9 draw an arrow facing up. This will remind your child to go across and then up when plotting points.

(5)

Another important tip for your child is to be very precise when plotting points. Make sure your child neatly places the points on the grid. If the plot is not on the write spot it will be marked incorrect. This concept can be grasped fairly easy, if your child takes time while plotting the points.

Extra Help Problems

(1)

For questions 1-10 use the following grid. Graph and label the ordered pair.

A(9,8)



(2)

Graph and label the ordered pair.


B (-1,3)


(3)

Graph and label the ordered pair.


C (-3,-7)


(4)

Graph and label the ordered pair.


D (6,7)

(5)

Graph and label the ordered pair.


E (1,-5)

(6)

Graph and label the ordered pair.


F (0,8)

(7)

Graph and label the ordered pair.


G (2,3)

(8)

Graph and label the ordered pair.


H (9,-2)

(9)

Graph and label the ordered pair.


I (-3,3)

(10)

Graph and label the ordered pair.


J (-8,1)

(11)

For questions 11-15 use the following grid. Identify each ordered pair for each point.


Point A


(12)

Identify each ordered pair for each point.


Point B

(13)

Identify each ordered pair for each point.


Point C


(14)

Identify each ordered pair for each point.


Point D


(15)

Identify each ordered pair for each point.


Point E


(16)

Name the ordered pair described.


Start at the origin. Move 11 units to the left. (-11,0)


(17)

Name the ordered pair described.


Start at the origin. Move 7 units to the left and 2 units down. ( -7,-2)

(18)

Name the ordered pair described.


Start at the origin. Move 6 units to the left and 6 units up. (6,6)

(19)

Name the ordered pair described.


Start at the origin. Move 8 units to the right and 1 unit up. (8,1)

(20)


Name the ordered pair described.


Start at the origin. Move 5 units to the right and 9 units up. (5,9)

(21)

Name the ordered pair described.


Start at the origin. Move 3 units to the right and 9 units up. (3,9)


(22)



Name the ordered pair described.


Start at the origin. Move six units to the right. (6,0)

(23)

Name the ordered pair described.


Start at the origin. Move 5 units to the left and 6 units down. (-5,-6 )

(24)

Name the ordered pair described.


Start at the origin. Move 4 units to the right and 6 units down. (4,-6)

(25)

Name the ordered pair described.


Start at the origin. Move 5 units down. (0, -5)

 

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