# 4th Grade - Plotting Points For An Equation

 Grade Level: 4th Skill: Graphs and Charts Topic: Plotting Points for an Equation Goal: 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). Skill Description: 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.

## Building Blocks/Prerequisites

### 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.)