IM 6.7.12 Lesson: Constructing the Coordinate Plane
The following data were collected over one December afternoon in England.
Which set of axes would you choose to represent these data?
Explain your reasoning.
Explain why the other two sets of axes did not seem as appropriate as the one you chose.
Here are three sets of coordinates. For each set, draw and label an appropriate pair of axes and plot the points. (1, 2), (3, -4), (-5, -2), (0, 2.5)
Here are three sets of coordinates. For each set, draw and label an appropriate pair of axes and plot the points. (50, 50), (0, 0), (-10, -30), (-35, 40)
Here are three sets of coordinates. For each set, draw and label an appropriate pair of axes and plot the points.
Discuss with a partner:
How are the axes and labels of your three drawings different?
How did the coordinates affect the way you drew the axes and label the numbers?
Here is a maze on a coordinate plane. The black point in the center is (0, 0). The side of each grid square is 2 units long. Enter the above maze at the location marked with a green segment. Draw line segments to show your way through and out of the maze.
Label each turning point above with a letter. Then, list all the letters and write their coordinates.
Choose any 2 turning points that share the same line segment. What is the same about their coordinates? Explain why they share that feature.
To get from the point (2, 1) to (-4, 3) you can go 2 units up and 6 units to the left, for a total distance of 8 units. This is called the “taxicab distance,” because a taxi driver has to drive 8 blocks to get between those 2 points on the map.
Find as many points as you can that have a taxicab distance of eight units away from . What shape do these points make?