Lesson 11

Constructing the Coordinate Plane

Let’s explore and extend the coordinate plane.

Problem 1

  1. Graph these points in the coordinate plane: \((\text-2,3)\), \( (2,3)\), \( (\text-2, \text-3)\), \((2, \text-3)\).

    A coordinate plane with the origin labeled "O." The x-axis has the numbers negative 7 through 7 indicated. The y-axis has the numbers negative 5 through 5 indicated.

  2. Connect all of the points. Describe the figure.

Problem 2

Diego was asked to plot these points: \((\text-50, 0)\), \((150, 100)\), \((200, \text-100)\), \((350, 50)\), \((\text-250, 0)\). What interval could he use for each axis? Explain your reasoning.

Problem 3

Write the coordinates of each point.

Coordinate plane.

Problem 4

Find the value of each expression.

  1. \(16.2 + \text-8.4\)
  2. \(\frac25 - \frac35\)
  3. \(\text-9.2 + \text-7\)
  4. \(\text-4\frac38 - (\text-1\frac14)\)
(From Unit 7, Lesson 10.)

Problem 5

Lin and Tyler are drawing circles. Tyler's circle has twice the diameter of Lin’s circle. Tyler thinks that his circle will have twice the area of Lin’s circle as well. Do you agree with Tyler?

(From Unit 5, Lesson 15.)