4th Grade - Plotting Points For An Equation

 
     
 
     
 
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4th
Graphs and Charts
Plotting Points for an Equation
Draw the points corresponding to linear relationships on graph paper (i.e. draw 10 points on the graph of the equation y = 3x and connect them by using a straight line).
Plot points on a graph using the ordered pairs that are determined by solving equations, like y = 3x, and connect the points by using a straight line.
 

Sample Problems

(1)

Plot each ordered pair on the coordinate grid:

(2,4) (5,6) (4,3) (1,8) (9,9)




(2)

Complete the function table below. Write the ordered pairs and plot them on a coordinate grid:

y = (x – 1) + 2


Input

Output

x

y

1


2


3


4



Ordered Pairs: ______ _____ ______ _____


[(1,2) (2,3) (3,4) (4,5)]



(3)

Write the ordered pair for each point on the coordinate grid:

(Draw points on a coordinate grid) Child will have to write the ordered pairs.

Answer: (2, 1) (3, 2) (4, 3) (5, 4) (6, 5)

(4)

Use the coordinate grid to write the ordered pairs. Complete the function table with the ordered pairs and write a rule for the input/output relationship.

[Coordinate grid will be placed here]


Input

x







Output

y







Rule : __________________


(5)

Solve the equation for y = 2x + 6

Write (5) ordered pairs: __________________________________


[(1,8) (2,10) (3,12) (4,14) (5,16)]

Learning Tips

(1)

Math Vocabulary:

Ordered pair- (x, y) a pair of numbers used to locate a point on a coordinate grid.


x-axis- the horizontal line on a coordinate grid (line that goes from left to right)


y-axis- the vertical line on a coordinate grid (line that goes from top to bottom)


x-coordinate- the first number of an ordered pair, which tells how far to move horizontally along the x-axis.


y-coordinate- the second number in an ordered pair, which tells how far to move vertically along the y-axis


Coordinate grid- a map-like tool that is used to locate specific points.



(2)

Explain the parts of a coordinate grid:

Draw a coordinate grid on large chart paper and identify the parts of the grid

  • y-axis

  • x-axis

  • how to plot points (x-coordinate go across on the x-axis; y-coordinate go straight up from the x-coordinate to number on the y-axis)

  • horizontal lines

  • vertical lines


(3)

Color code the x-axis and y-axis. Color code the ordered pairs to match the axes.

Use a red marker to outline the x-axis, use a green marker to outline the y-axis. Color code the ordered pairs the same way (x, y). This will help them to know what axis to look at for the x or y coordinate.

(4)

Relate coordinate grids to the real world:

Have the child draw a diagram of where things are located in his/her room on a coordinate grid. They can draw figures (bed, computer, t.v., etc.) to show where the items are located on the grid.


Use a globe and show them the coordinate lines on the globe and inform them that it is used to explain the location of a specific place.

(5)

Practice making a coordinate grid.

Use drawing paper, ruler and markers, and have the child draw coordinate girds and practice plotting points.


Extra Help Problems

(1)

Plot each ordered pair on the coordinate grid. Draw a line to connect the points:

(1,4) (2,5) (3,6) (4,7) (5,8)


(2)

Plot each ordered pair on the coordinate grid. Draw a line to connect the points:

(1,5) (2, 4) (3,3) (4,2) (5,1)



(3)

Plot each ordered pair on the coordinate grid. Draw a line to connect the points:

(1,3) (2,5) (3,7) (4,9) (5,11)



(4)

Plot each ordered pair on the coordinate grid. Draw a line to connect the points:

(1,1) (2,4) (3,7) (4, 10) (5, 13)



(5)

Plot each ordered pair on the coordinate grid. Draw a line to connect the points:

(1,0) (2,2) (3,4) (4,6) (5, 8)



(6)

Complete the function table below. Write the ordered pairs and plot them on a coordinate grid:

y = 2x +3


Input

x

2

3

4

5

Output

y






[(2,7) (3,9) (4,11) (5,13)]

(7)

Complete the function table below. Write the ordered pairs and plot them on a coordinate grid:

y = x +3


Input

x

2

4

6

8

Output

y






[(2,5) (4,7) (6,9) (8,11)]

(8)

Complete the function table below. Write the ordered pairs and plot them on a coordinate grid:

y = x – 4


Input

x

4

5

6

7

Output

y






[(4,0) (5,1) (6,2) (7,3)]

(9)

Complete the function table below. Write the ordered pairs and plot them on a coordinate grid:

y = (x – 3) + 2


Input

Output

x

y

5


6


7


8



[(5,4) (6,5) (7,6) (8,7)]

(10)

Complete the function table below. Write the ordered pairs and plot them on a coordinate grid:

y = 4x – 4



Input

Output

x

y

1


2


3


4



[(4,0) (2,4) (3,8) (4,12)]

(11)

Use the coordinate grid to write the ordered pairs. Complete the function table with the ordered pairs and write a rule for the input/output relationship.

[Coordinate grid will be placed here-Graph ordered pairs: (4,2) (5,4) (6,6) (7,8) (8,10) (9,12)]


Input

x







Output

y







Rule : __________________


(12)

Use the coordinate grid to write the ordered pairs. Complete the function table with the ordered pairs and write a rule for the input/output relationship.

[Coordinate grid will be placed here- Graph ordered pairs: (1,8) (2,13) (3,18) (4,23) (5,28)]


Input

x







Output

y







Rule : __________________


(13)

Use the coordinate grid to write the ordered pairs. Complete the function table with the ordered pairs and write a rule for the input/output relationship.

[Coordinate grid will be placed here- Graph ordered pairs: (3,2) (4,5) (5,8) (6,11) (7,14)]


Input

x







Output

y







Rule : __________________


(14)

Use the coordinate grid to write the ordered pairs. Complete the function table with the ordered pairs and write a rule for the input/output relationship.

[Coordinate grid will be placed here-Graph ordered pairs: (4,3) (6,4) (8,5) (10,6) (12,7)]


Input

x







Output

y







Rule : __________________


(15)

Use the coordinate grid to write the ordered pairs. Complete the function table with the ordered pairs and write a rule for the input/output relationship.

[Coordinate grid will be placed here (2,0) (3,4) (4,8) (5,12) (6,16) ]


Input

x







Output

y







Rule : __________________


(16)

Use the equation y = 2x – 2

Solve for y, if x =12


(12,22)

(17)

Use the equation y= x + 6

Solve for y, if x = 37


(37,43)

(18)

Use the equation y = x ÷ 3 + 1

Solve for y, if x = 39


(39,14)

(19)

Use the equation y = 5x

Solve for y, if x = 125


(125, 625)

(20)

Graph the ordered pairs. Is it a linear equation?

(3,2) (6,4) (9,6) (12,8)

(21)

Graph the ordered pairs. Is it a linear equation?

(1,2) (3,5) (4,6) (5,7)

(22)

Graph the ordered pairs. Is it a linear equation?

(0,0) (1,2) (2,4) (3,6)

(23)

Graph the ordered pairs. Is it a linear equation?

(1,5) (4,8) (5,3) (9,1)

(24)

Describe the x-coordinate.


(The x-coordinate is the first number in the ordered pair. It is plotted horizontally on a coordinate grid)

(25)

What is an ordered pair?


(An ordered pair is the two numbers (pair of numbers) used to plot on a coordinate grid.)

 

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