Grade 6 Mathematics · Unit 7: Integers, Rational Numbers, and the Coordinate PlaneStandard 6.NOS.7

Lesson 7.87.8 Small Group · Group 1

Start hereWords, worked example, and sentence starters

Name Date Period

Learning target With my small group, I can plot ordered pairs in all four quadrants of the coordinate plane — one step at a time, with support.

Start hereWords for this lesson

Read each word before you begin. Say it out loud.

WordWhat it meansExample
QuadrantSpanish: Cuadrante One of the four parts of a coordinate grid, numbered I to IV. I (+, +) top-right, II (-, +) top-left, III (-, -) bottom-left, IV (+, -) bottom-right
Negative coordinateSpanish: Coordenada negativa A coordinate less than zero. It means left or below the center point. (-3, 2) means 3 left and 2 up from the origin
ReflectionSpanish: Reflexión A flipped, mirror image across a line. (3, 2) reflected over the y-axis is (-3, 2) — same distance, opposite side
AxisSpanish: Eje One of the two number lines that frame a graph: the x-axis runs across, the y-axis runs up and down. The x-axis goes left-right; the y-axis goes up-down; they cross at (0, 0)
IntegerSpanish: Número entero Whole numbers and their opposites, like -2, -1, 0, 1, 2. ..., -3, -2, -1, 0, 1, 2, 3, ...

How it worksWorked example

These numbers are not on your problems. The steps are. Follow them with your own numbers.

Plot the point (−3, −4). Name the quadrant it is in.

  1. Start at the origin: (0, 0)
  2. Read x. Move left 3 units: x = −3 → left 3
  3. Read y. Move down 4 units: y = −4 → down 4
  4. Use the signs to name the quadrant: (−, −) → Quadrant III
  5. (−3, −4) is in Quadrant III.

Now you trySame steps, your turn

The steps are the same as the worked example. The numbers are yours. Do the work.

Plot the point (−5, 2). Name the quadrant it is in.

Answer:

Say it and write itSentence starters

Finish each sentence out loud with a partner. Then use them in your writing.

  • In Quadrant , the x-coordinate is and the y-coordinate is . I know (-3, -4) is in Quadrant because both coordinates are .

Word bank QuadrantNegative coordinateReflectionAxisIntegerquadrantpositivenegativex-coordinatey-coordinateleftright

Watch outA common mistake

A common mistake in Ordered Pairs in All Four Quadrants is matching each sign to the wrong axis — for example, seeing (-2, 5) and thinking "the x is negative so I move DOWN, and the y is positive so I move RIGHT," which lands the point in Quadrant IV. But the x-coordinate always controls left/right, never up/down: negative x means LEFT (not down), and positive y means UP (not right). So (-2, 5) is actually left 2, up 5 — Quadrant II. Before you submit, check that you used the x-coordinate for left/right and the y-coordinate for up/down, and never swapped them.

Grade 6 Mathematics · Unit 7: Integers, Rational Numbers, and the Coordinate PlaneStandard 6.NOS.7

Lesson 7.87.8 Small Group · Group 1

Group 1Supported practice

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
Name Date Period

Learning target With my small group, I can plot ordered pairs in all four quadrants of the coordinate plane — one step at a time, with support.

  1. 1Complete each step, then write the final answer.
    −6−5−4−3−2−1123456−6−5−4−3−2−1123456origin(−2, 0)(−2, −5)
    Left 2, then down 5.

    Plot the point (−2, −5). Name the quadrant it is in.

    1. 1The x is −2. Which way do we move, and how far?
    2. 2The y is −5. Which way do we move, and how far?
    3. 3Left and down puts the point in which quadrant?
    Final answer:
  2. 2Complete each step, then write the final answer.
    −6−5−4−3−2−1123456−6−5−4−3−2−1123456(3, −5)
    This time x is positive.

    Plot the point (3, −5). Name the quadrant it is in.

    1. 1The x is 3. Which way do we move, and how far?
    2. 2The y is −5. Which way do we move, and how far?
    3. 3Right and down puts the point in which quadrant?
    Final answer:
  3. 3Complete each step, then write the final answer.

    Which quadrant is the point (−4, 1) in?

    Show your work

    Hint Negative x means move left. Positive y means move up.

    Final answer:
  4. 4Complete each step, then write the final answer.

    Which quadrant is the point (−6, −2.5) in?

    Show your work

    Hint Look only at the signs. A decimal does not change the quadrant.

    Final answer:
  5. 5Complete each step, then write the final answer.

    A ship is 4 units east and 3 units south of base camp at (0, 0). East is the positive x-direction. North is the positive y-direction. Which quadrant is the ship in?

    Show your work

    Hint Turn east and south into signs. South is the opposite of north.

    Final answer:
  6. 6Complete each step, then write the final answer.

    Tia plots (2, −6) by moving up 2 and right 6. She says the point is in Quadrant I. What quadrant is (2, −6) really in?

    Show your work

    Hint Which number tells you to move left or right? Which tells you up or down?

    Final answer:

Explain your thinkingTia used the numbers in the wrong order and ignored a sign. How do you plot an ordered pair the right way?

Sentence starter First I read x and move ___. · The sign of y tells me ___.

How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help