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IM 6.7.13 Lesson: Interpreting Points on a Coordinate Plane

Label each point on the coordinate plane by dragging the appropriate letter and ordered pair.

The graph shows the balance in a bank account over a period of 14 days.

The axis labeled  represents account balance in dollars. The axis labeled  represents the day. Estimate the greatest account balance. On which day did it occur?

Estimate the least account balance. On which day did it occur?

What does the point  tell you about the account balance?

How can we interpret  in the context?

The coordinate plane shows the high and low temperatures in Nome, Alaska over a period of 8 days.

The axis labeled  represents temperatures in degrees Fahrenheit. The axis labeled  represents the day. What was the warmest high temperature?

Write an inequality to describe the high temperatures, , over the 8-day period.

    What was the coldest low temperature?

      Write an inequality to describe the low temperatures, , over the 8-day period.

      On which day(s) did the largest difference between the high and low temperatures occur? Write down this difference.

        On which day(s) did the smallest difference between the high and low temperatures occur? Write down this difference.

          Before doing this problem, do the problem about taxicab distance in an earlier lesson.

          The point  is 4 taxicab units away from  and 4 taxicab units away from . Find as many other points as you can that are 4 taxicab units away from both  and . Use the applet below to help you.

          Are there any points that are 3 taxicab units away from both points?