Sixth Grade · Math · week 15

The coordinate plane in all four quadrants

Plot and identify ordered pairs with positive and negative coordinates in all four quadrants of the coordinate plane.

The coordinate plane has two number lines crossing at a point called the origin, (0,0): the horizontal x-axis and the vertical y-axis. Together they split the plane into four regions called quadrants.

An ordered pair (x, y) tells you how far to move: x tells left or right from the origin, where positive is right and negative is left; y tells up or down, where positive is up and negative is down.

The four quadrants are numbered I, II, III, IV counterclockwise starting at the top right: Quadrant I is (+,+), II is (−,+), III is (−,−), and IV is (+,−).

📋 For the teacher
Teach it (10–15 min):
  • Build a big coordinate plane with tape on the floor or on paper, and physically walk out a few points together.
  • Teach the quadrant order - I, II, III, IV counterclockwise from the top right - with a quick chant or hand gesture.
  • Point out that a zero in either coordinate means the point sits ON an axis, not inside a quadrant.
  • Practice both directions: plotting a given ordered pair, and naming the ordered pair for a given point.
Talk about it:
  • How do you know which quadrant a point is in just from the signs of its coordinates?
  • What does it mean if a point has a 0 as one of its coordinates?
  • Can you name a real map or grid that works like a coordinate plane?

Mastery looks like: They plot ordered pairs with any combination of signs and correctly name the quadrant, or axis, for a given point.

Common stumbles: Moving up or down before left or right; mixing up which quadrant matches which sign combination.

See it visually

Interactive, spoken-aloud tools that show this idea in motion.

Coordinate PlanePlot points and explore the four quadrants.try →
Homework for this lessonType it, write it with a stylus, or print it for pencil & paper.open →
Records attendance + 15 min of Math for this learner.
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