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8.1: Plotting Points on a Coordinate Grid
Example 1: Plotting the following coordinates as a shape on a grid
Plot the shape on the grid:
A (1, 2)
B (3, 2)
C (2, 3)
D (3, 3)
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​
​
​
​
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1 2 3 4
0 1 2 3 4
x
y
How to plot points A-D on a grid:
Step One: Look at your coordinates for point A (1, 2)
The first number is the x value (1). The second number is the y value (2).
Step Two: Find where 1 is on the x-axis. Then go up to find where 2 is on the y-axis.
Step Three: The point where the meet is point A (1, 2); mark it with a dot.
Step four: Repeat this process for the following points B, C, and D. Connect the points to form the shape.
Practice on your own:
Plot the shape on the grid:
A (2, 4)
B (1, 3)
C (2, 2)
D (3, 3)
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​
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​
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1 2 3 4
y
0 1 2 3 4
x
Practice
Practice PDFs available for download:
8.2: Basic Transformations
Example 1: Translate the following shape 2 units right, and 1 unit down:
1 2 3 4 5 6 7 8
0 1 2 3 4 5 6 7 8
x
y
x
y
+2 (right)
-1 (Down)
x
y
1 2 3 4 5 6 7 8
0 1 2 3 4 5 6 7 8
Step By Step:
Step One: Start with identifying what type of transformation (translation, rotation, or reflection) is required. Here we are using translations (moving points up, down, right & left). We are moving the shape 2 units right, and 1 unit down.
Step Two: Select one point and move it 2 units right (on the x-axis). Then move it 1 unit down (on the y-axis).
Step Three: Repeat this process for all points.
Step Four: Connect the points with straight lines to create the translated shape.
Practice
Practice PDFs available for download:
8.3: Successive Transformations
Example 1: Translate the following shape 1 units right, and 2 unit down; twice:
x
y
-2 (Down)
y
1 2 3 4 5 6 7 8
0 1 2 3 4 5 6 7 8
1 2 3 4 5 6 7 8
0 1 2 3 4 5 6 7 8
x
y
+1 (right)
x
x
y
1 2 3 4 5 6 7 8
0 1 2 3 4 5 6 7 8
-2 (Down)
y
+1 (right)
x
x
y
1 2 3 4 5 6 7 8
0 1 2 3 4 5 6 7 8
Step By Step:
Step One: Start with identifying what type of successive transformation (translation, rotation, or reflection) is required. Here we are using successive translations (moving points up, down, right & left more than once). We are moving the shape 1 units right, and 2 unit down; twice.
Step Two: Select one point and move it 1 units right (on the x-axis). Then move it 2 unit down (on the y-axis). Do this once more for that point. This would fulfill the successive translation requirement.
Step Three: Repeat this process for the rest of the points.
Step Four: Connect the points with straight lines to create the translated shape.
Practice
Practice PDFs available for download:
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