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Unit 05 · Rational Numbers and CoordinatesLesson

Day 071Points in Four Quadrants

LearnClassworkAnswer keyPDF packet ↗
Standards 6.NS.C.6b6.NS.C.6c
LEARNING TARGET

I can plot ordered pairs in all four quadrants.

01 · LEARN

Build the idea

Start at the origin. Move horizontally by x, then vertically by y. Quadrant signs are I (+,+), II (-,+), III (-,-), IV (+,-). A point on an axis belongs to no quadrant.

WORKED EXAMPLE 1

Plot P(4, -6) on a coordinate plane and name its quadrant.

Quadrant IV

Move 4 right, then 6 down.

WORKED EXAMPLE 2

Plot P(4, -3) on a coordinate plane and name its quadrant. Then plot Q on the y-axis at the same height and name its coordinates.

Quadrant IV; Q(0, -3)

Move 4 right, then 3 down.

02 · PRACTICE

Your turn

Work in order. Start with the foundations, then build toward explanation and application.

  1. Plot P(-2, -3) on a coordinate plane and name its quadrant.

  2. Plot P(7, -5) on a coordinate plane and name its quadrant.

  3. Plot P(-7, 4) on a coordinate plane and name its quadrant.

  4. Plot P(4, -2) on a coordinate plane and name its quadrant.

  5. Plot P(-6, -4) on a coordinate plane and name its quadrant.

  6. Plot P(5, 4) on a coordinate plane and name its quadrant.

  7. Plot P(-7/2, -3/2) on a coordinate plane and name its quadrant. Then plot Q on the y-axis at the same height and name its coordinates.

  8. Plot P(4, -7/2) on a coordinate plane and name its quadrant. Then plot Q on the y-axis at the same height and name its coordinates.

  9. Plot P(-5/2, 5/2) on a coordinate plane and name its quadrant. Then plot Q on the y-axis at the same height and name its coordinates.

  10. Plot P(7/2, -3) on a coordinate plane and name its quadrant. Then plot Q on the y-axis at the same height and name its coordinates.

03 · CHECK

Answers and reasoning

Reveal the teacher answer key
  1. Quadrant III

    Move 2 left, then 3 down.

  2. Quadrant IV

    Move 7 right, then 5 down.

  3. Quadrant II

    Move 7 left, then 4 up.

  4. Quadrant IV

    Move 4 right, then 2 down.

  5. Quadrant III

    Move 6 left, then 4 down.

  6. Quadrant I

    Move 5 right, then 4 up.

  7. Quadrant III; Q(0, -3/2)

    Move 7/2 left, then 3/2 down.

  8. Quadrant IV; Q(0, -7/2)

    Move 4 right, then 7/2 down.

  9. Quadrant II; Q(0, 5/2)

    Move 5/2 left, then 5/2 up.

  10. Quadrant IV; Q(0, -3)

    Move 7/2 right, then 3 down.

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