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

Lesson 7.57.5 Small Group · Group 1

Start hereWords, worked example, and sentence starters

Name Date Period

Learning target With my small group, I can plot and identify points on the coordinate plane using ordered pairs — 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
Coordinate planeSpanish: Plano cartesiano A grid with a line going across and a line going up to plot points. x-axis across, y-axis up
Ordered pairSpanish: Par ordenado Two numbers (x, y) that tell where a point is on a grid. (−3, 4) is an ordered pair
OriginSpanish: Origen The point (0, 0) where the two grid lines cross. every plot starts here
QuadrantSpanish: Cuadrante One of the four parts of a coordinate grid, numbered I to IV. Quadrant II is upper left
ReflectionSpanish: Reflexión A flipped, mirror image across a line. (3, 2) reflected over the x-axis becomes (3, -2) — same x, opposite y
IntegerSpanish: Número entero Whole numbers and their opposites, like -2, -1, 0, 1, 2. ..., -3, -2, -1, 0, 1, 2, 3, ...

How it worksWorked exampleplotting a point with rational coordinates

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

Plot the point (−3.5, 2.5) on a coordinate plane and name the quadrant it lands in.

  1. Start at the origin, the point where the two axes cross.
  2. The x-coordinate is −3.5, so move left three and a half units along the x-axis.
  3. The y-coordinate is 2.5, so move up two and a half units from there.
  4. Left and up together land the point in the upper left section. Label it.

Answer: The point (−3.5, 2.5) sits in Quadrant II — left of the y-axis and above the x-axis.

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 (1.5, −4.5) on a coordinate plane and name the quadrant it lands in.

  1. Start at the , the point where the two axes cross.
  2. The x-coordinate is , so move that many units.
  3. The y-coordinate is , so move from there.
  4. Those two moves land the point in Quadrant . Label it.
Answer:the plotted point and its quadrant

Say it and write itSentence starters

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

  • The ordered pair tells me to move and then .
  • The point lands in Quadrant because its signs are .
  • I always start at the origin because .
  • A point sitting on the -axis has a coordinate of .

Word bank coordinate planeordered pairoriginquadrantx-axisy-axisx-coordinatey-coordinatehorizontalverticalleftright

Watch outA common mistake

A common mistake in Graph on the Coordinate Plane is swapping the order of the coordinates — moving up/down first instead of right/left first. For example, when plotting (5, 2), students often move up 5 and right 2, landing on the wrong point (2, 5) instead of (5, 2). Remember: the x-coordinate (first number) always tells you how far to move right or left along the x-axis; the y-coordinate (second number) tells you how far up or down along the y-axis.

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

Lesson 7.57.5 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 and identify points on the coordinate plane using ordered pairs — one step at a time, with support.

  1. 1Complete each step, then write the final answer.
    01234567890123456789origin(4, 0)(4, 7)
    Right 4, then up 7.

    Plot the point (4, 7) on the coordinate plane.

    1. 1Where do we start?
    2. 2Read x. How many units do we move right?
    3. 3Read y. How many units do we move up?
    Final answer:
  2. 2Complete each step, then write the final answer.
    01234567890123456789P
    This time, read the point.

    Point P is on the coordinate plane. Write its ordered pair.

    1. 1Start at the origin. How many units right is P?
    2. 2How many units up is P?
    3. 3Write the ordered pair. Which number goes first?
    Final answer:
  3. 3Complete each step, then write the final answer.

    To plot (1, 5), how many units do you move right from the origin?

    Show your work

    Hint The first number is x. It tells how far to move right.

    Final answer:
  4. 4Complete each step, then write the final answer.
    01234567890123456789A

    Point A is on the coordinate plane. What is the x-coordinate of A?

    Show your work

    Hint Start at the origin. Count how far right you go to reach A.

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

    On a town map, the school is at the origin. The park is at (6, 5). East is right and north is up. How many blocks north of the school is the park?

    Show your work

    Hint North is up. Which number tells how far up?

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

    Tia plots (3, 8). She moves 8 units right and 3 units up. Is she right? How many units right should she move?

    Show your work

    Hint Which number in (3, 8) comes first? That one tells how far right.

    Final answer:

Explain your thinkingTia mixed up the two numbers. How do you remember which number tells you to move right?

Sentence starter The first number tells me ___. · (3, 8) and (8, 3) are different because ___.

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