Click on the image below to use the interactive plotter to plot each of the sets of points below.In this section, you will look for patterns that will help you identify the Quadrant in which certain ordered pairs of rational numbers will appear.
Click on the image below to use the interactive plotter to plot each of the sets of points below.
NeedInteractive popup. Assistance may be required.
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| Set 1 | |
|---|---|
| x | y |
| 1.5 | 2 |
| 3 | 4 |
| 3 One fourth 1 4 | 7.2 |
| 6.1 | 5 |
| 4 | 3.7 |
| Set 2 | |
|---|---|
| x | y |
| -1.5 | 2 |
| -3 | 4 |
| -3One fourth 1 4 | 7.2 |
| -6.1 | 5 |
| -4 | 3.7 |
| Set 3 | |
|---|---|
| x | y |
| -1.5 | -2 |
| -3 | -4 |
| -3One fourth 1 4 | -7.2 |
| -6.1 | -5 |
| -4 | -3.7 |
| Set 4 | |
|---|---|
| x | y |
| 1.5 | -2 |
| 3 | -4 |
| 3 One fourth 1 4 | -7.2 |
| 6.1 | .5 |
| 4 | -3.7 |
Copy the table below in your notes. Use the results of the plotted points to fill in the table.
Set Number |
Quadrant Containing Plotted Points |
Sign of |
Sign of |
Relationship between Quadrant and Signs of x- and y-coordinates |
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2 |
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3 |
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4 |
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Set Number Quadrant Containing Plotted Points Sign of Sign of Relationship between Quadrant and Signs of x- and y-coordinates 1 Quadrant I positive positive Quadrant I contains points with positive x-coordinates and positive y-coordinates 2 Quadrant II negative positive Quadrant II contains points with negative x-coordinates and positive y-coordinates 3 Quadrant III negative negative Quadrant III contains points with negative x-coordinates and negative y-coordinates 4 Quadrant IV positive negative Quadrant IV contains points with positive x-coordinates and negative y-coordinates
x-coordinates
y-coordinates
Practice #1
Which of the following points appears in Quadrant II?
(6.5, 73 over 8 3 8) (-4.1, 8) (81, -17) (-152 over 3 2 3, 8) (-18, -10)
Interactive popup. Assistance may be required. What will be the sign of the x-coordinates and y-coordinates in Quadrant II? Interactive popup. Assistance may be required.
(-4.1, 8) and (-152 over 3 2 3, 8)
Practice #2
Study the coordinate grid below.
Which point(s) have coordinates that satisfy the conditions x > −0.5 and y ≤ 13 over 4 3 4?
Interactive popup. Assistance may be required. Draw a vertical line along the line representing the x-coordinate of –0.5 and a horizontal line along the line representing the y-coordinate of 13 over 4 3 4.
Interactive popup. Assistance may be required. Points T, V, and W