Interpreting Points in a Coordinate Plane

5 min

Teacher Prep
Setup
3 minutes quiet work time followed by whole-class discussion.

Narrative

In this Warm-up, students practice skills that they have developed for plotting points in all four quadrants of the coordinate plane. This Warm-up also gives students the opportunity to describe points that do not fall nicely on the intersection of grid lines. This will be useful in following activities, when students apply these skills to answer questions in context.

Launch

Give students 3 minutes of quiet work time, and follow with a whole-class discussion.

Student Task

Label each point in the coordinate plane with the letter that represents its coordinates.

Coordinate plane.
Coordinate plane, horizontal axis, negative 10 to 10 by ones, vertical axis, negative 10 to 10 by ones. One point is 8 units left and 4 units up from the origin. A point is 3 point 5 left and point 2 up from the origin. A point is three units right and 2 units up from the origin. A point is 7 units right and between 5 and 6 units below the origin.

  

A(7,-5.5)A (7, \text-5.5)

B(-8,4)B (\text-8, 4)

C(3,2)C (3, 2)

D(-3.5,0.2)D (\text-3.5, 0.2)

Sample Response

<p>Points on a coordinate plane.</p>

Activity Synthesis (Teacher Notes)

The main goal of this discussion is to make sense of points that don't fall on the intersection of grid lines. Invite students to explain how they knew which points matched with which coordinates. Ask students how they would make sense of point DD, since it doesn't fall nicely where grid lines cross.

Standards
Addressing
  • 6.NS.6.c·Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane.
  • 6.NS.C.6.c·Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane.
Building Toward
  • 6.NS.8·Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.
  • 6.NS.C.8·Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.

20 min

10 min