IM 6.7.11 Lesson: Points on the Coordinate Plane
Choose a horizontal or a vertical line on the grid. Draw 4 points on the line and label each point with its coordinates.
Tell your partner whether your line is horizontal or vertical, and have your partner guess the locations of your points by naming coordinates.
If a guess is correct, put an X through the point. If your partner guessed a point that is on your line but not the point that you plotted, say, “That point is on my line, but is not one of my points.”
Take turns guessing each other’s points, 3 guesses per turn.
The colored points on the coordinate plane are like targets. Hit each point by entering its coordinates as an ordered pair in the Input Bar, like this:
What do you notice about the locations and ordered pairs of , , and ?
How are they different from those for point ?
Plot a point at (-2, 5). Label it E. Plot another point at (3, -4.5). Label it F.
The coordinate plane is divided into four quadrants, I, II, III, and IV, as shown here.
In which quadrant is located?
In which quadrant is located? In which quadrant is located?
In which quadrant is located?
A point has a positive -coordinate. In which quadrant could it be?
Here is an image of an archery target on a coordinate plane (applet below). The scores for landing an arrow in the colored regions are:
- Yellow: 10 points
- Red: 8 points
- Blue: 6 points
- Green: 4 points
- White: 2 points
- 6 points
- 10 points
- 2 points
- No points
- 4 points
- 8 points
Pretend you are stuck in a coordinate plane. You can only take vertical and horizontal steps that are one unit long.
How many ways are there to get from the point to if you will only step down and to the right? Use the applet below to help you determine your answer.
How many ways are there to get from the point to if you will only step down and to the right?
Make up some more problems like this and see what patterns you notice.