Exercises: The Coordinate Plane -- Locating Points with Ordered Pairs
Work through each section in order. Use graph paper or a coordinate grid if it helps you visualize each point.
Recall / Warm-Up
Two lines are drawn so that they cross each other and form four right angles where they meet. What word describes these two lines?
Parallel
Perpendicular
Curved
Diagonal
A number line has tick marks at 0, 1, 2, 3, 4, and 5. Starting at 0, how many unit jumps does it take to reach the tick mark labeled 4?
If you switch the digits in the number 47 to get 74, do you end up with the same number?
Yes -- both numbers use a 4 and a 7, so they are equal.
No -- 47 and 74 have different values, so the order of the digits matters.
Fluency Practice
Look at the coordinate grid. The horizontal line is called the ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ -axis. The vertical line is called the ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ -axis. The point where they cross is called the ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ .
What is the ordered pair for the origin?
(0, 0)
(1, 1)
(0, 1)
(1, 0)
In the ordered pair (6, 2), the number 6 tells you how far to move along the ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ -axis, and the number 2 tells you how far to move along the ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ -axis.
Four points are plotted and labeled A, B, C, and D on the grid below. Which point is located at (5, 2)?
Point A
Point B
Point C
Point D
If you plot the point (0, 6), where does it lie?
On the y-axis
On the x-axis
At the origin
Nowhere -- a 0 coordinate means there is no point to plot
A point is plotted on the grid below. Write its ordered pair: ( ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ , ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ).
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