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

Lesson 7.57.5 Small Group · Group 2

Start hereWords, worked example, and sentence starters

Name Date Period

Learning target I can plot and identify points on the coordinate plane using ordered pairs, explain what each part stands for, and build one for a situation I have not seen before.

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 2

Group 2Challenge practice

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

Learning target I can plot and identify points on the coordinate plane using ordered pairs, explain what each part stands for, and build one for a situation I have not seen before.

  1. 1Complete each step, then write the final answer.
    −4−3−2−11234−4−3−2−11234origin(−3, 0)(−3, 2.5)
    Left 3, then up 2.5.

    Plot the point (−3, 2.5) on the coordinate plane.

    1. 1Read x. Which way do you move?
    2. 2How many units left?
    3. 3Read y. How many units up?
    Final answer:
  2. 2Complete each step, then write the final answer.
    −4−3−2−11234−4−3−2−11234R
    Each grid line is 0.5 units.

    Point R is on the coordinate plane. Find its ordered pair.

    1. 1How far right or left of the origin is R? Type x.
    2. 2How far up or down is R? Type y.
    3. 3Why is x positive but y negative?
    Final answer:
  3. 3Complete each step, then write the final answer.

    To plot (−4, −1.5), how many units down do you move from the origin?

    Show your work
    Final answer:
  4. 4Circle the letter of the best answer. Show how you know.

    Which ordered pair names a point 0.5 units left of the origin and 3 units up?

    1. A(−0.5, 3)
    2. B(3, −0.5)
    3. C(0.5, 3)
    4. D(−3, 0.5)
    Show your work
  5. 5Complete each step, then write the final answer.

    On a map, the town hall is at the origin. A well is 3.5 blocks west and 2 blocks south. West is left and south is down. What is the well's x-coordinate?

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

    Ken says (−6, 1) and (1, −6) are the same point because they use the same numbers. To plot (1, −6), how many units down do you move?

    Show your work
    Final answer:

Explain your thinkingKen thinks (−6, 1) and (1, −6) are the same point. Use the signs and the order of the numbers to show he is wrong.

ChallengeWrite your own problem

Write a new word problem that uses this lesson's idea. Then solve it and show every step.

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