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

Lesson 7.5Represent Rational Numbers on the Coordinate Plane

Set B · Version ASecond form · supported 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.

Why This Matters Captain Vega left a treasure map, but instead of an 'X marks the spot,' she hid the directions as ordered pairs! To find the treasure, you need to plot each point on the coordinate plane and connect them in order. The first clue says: Start at (2, 1), then go to (5, 4), then (8, 1).

RememberRepresent Rational Numbers on the Coordinate Plane

Coordinate Plane: Plotting Points. Formula: Ordered Pair: (x, y) = (Horizontal, Vertical) An ordered pair (x, y) is two numbers that tell you exactly where a point goes. The first number moves you right or left. The second number moves you up or down.

  1. Always start at the Origin (0, 0).
  2. x-coordinate: Move right for positive (+), left for negative (-).
  3. y-coordinate: Move up for positive (+), down for negative (-)

Words: Coordinate plane (Plano cartesiano)Ordered pair (Par ordenado)Origin (Origen)Quadrant (Cuadrante)Reflection (Reflexión)

Part 1Understand the ideamodels and meaning
  1. 1Circle the letter of the best answer. Show how you know.

    A drone delivery company programs flight paths using coordinate pairs. A drone starts at the warehouse (0, 0), flies to pickup at (3, 6), then delivers to (8, 2), then returns to base (0, 0). In the ordered pair (3, 6), what does the 3 tell the drone?

    1. AMove 3 units horizontally, along the x-axis
    2. BMove 3 units vertically
    3. CFly for 3 minutes
    4. DLand at altitude 3
    Show your work
Part 2Apply itreal-world problems
  1. 2Circle the letter of the best answer. Show how you know.

    Which symbol makes this true? −6 ___ −2

    1. A>
    2. B=
    3. C≥
    4. D<
    Show your work
  2. 3Circle the letter of the best answer. Show how you know.

    Order from least to greatest: −4, 3, −7, 0

    1. A3, 0, −4, −7
    2. B−4, −7, 0, 3
    3. C−7, −4, 0, 3
    4. D−7, −4, 3, 0
    Show your work
  3. 4Circle the letter of the best answer. Show how you know.

    On a number line, a number to the LEFT of another number is always…

    1. Agreater than it
    2. Bequal to it
    3. Cfarther from zero
    4. Dless than it
    Show your work
  4. 5Circle the letter of the best answer. Show how you know.

    Two towns record temperatures of −3 °F and −11 °F. Which town is colder?

    1. AThe town at −11 °F
    2. BThe town at −3 °F
    3. CThey are the same
    4. DYou cannot tell
    Show your work
  5. 6Circle the letter of the best answer. Show how you know.

    A drone delivery company programs flight paths using coordinate pairs. A drone starts at the warehouse (0, 0), flies to pickup at (3, 6), then delivers to (8, 2), then returns to base (0, 0). What shape does the flight path make?

    1. AA square
    2. BA straight line
    3. CA triangle
    4. DA circle
    Show your work

Explain your thinkingYou plotted a triangle. How did the ordered pairs tell you exactly where to place each point?

Sentence starter The first number in the ordered pair tells me ___ and the second number tells me ___. The point (5, 4) means ___.

3-Point Exit Checklist: ☐ 1. Units & Labels Verified ☐ 2. Mathematical Reasoning Stated ☐ 3. Calculations Double-Checked
How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help
Grade 6 Mathematics · Unit 7: Integers, Rational Numbers, and the Coordinate PlaneStandard 6.NOS.6

Lesson 7.5Represent Rational Numbers on the Coordinate Plane

Set B · Version BSecond form · core 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.

Why This Matters Captain Vega left a treasure map, but instead of an 'X marks the spot,' she hid the directions as ordered pairs! To find the treasure, you need to plot each point on the coordinate plane and connect them in order. The first clue says: Start at (2, 1), then go to (5, 4), then (8, 1).

Part 1Understand the ideamodels and meaning
  1. 1Circle the letter of the best answer. Show how you know.

    Spot 2 — The map marks the Lookout Tower at (4, 9). What does the 4 tell you to do from the origin?

    1. AMove 4 units to the right along the x-axis
    2. BMove 4 units up along the y-axis
    3. CMove 4 units to the left
    4. DStay on the y-axis at 4
    Show your work
  2. 2Write the letter of the matching item on each line.

    Spot 4 — Match each treasure landmark to its ordered pair (x, y).

    1. Sandy Dock
    2. Lookout Tower
    3. Coconut Grove
    4. Hidden Cave
    5. Fresh Spring
    6. Treasure Chest
    • A(7, 2)
    • B(4, 9)
    • C(3, 8)
    • D(6, 5)
    • E(1, 4)
    • F(9, 6)
  3. 3Write the name of the correct group on each line.

    Spot 5 — Sort each treasure landmark by how far RIGHT it is, ordering by its x-coordinate from closest-to-shore (smallest x) to farthest (largest x).

    Groups: Closest (smallest x) Middle x Farthest (largest x)
    • Fresh Spring (1, 4)
    • Coconut Grove (3, 8)
    • Treasure Chest (9, 6)
Part 2Apply itreal-world problems
  1. 4Circle the letter of the best answer. Show how you know.

    A drone delivery company programs flight paths using coordinate pairs. A drone starts at the warehouse (0, 0), flies to pickup at (3, 6), then delivers to (8, 2), then returns to base (0, 0). Which point is farthest to the right?

    1. A(3, 6)
    2. B(0, 0)
    3. C(8, 2)
    4. DThey are all the same
    Show your work
  2. 5Circle the letter of the best answer. Show how you know.

    Spot 1 — Captain Vega's first clue says the Sandy Dock is right 7 and up 2 from the origin. Which ordered pair names the Sandy Dock?

    1. A(2, 7)
    2. B(2, 2)
    3. C(7, 2)
    4. D(7, 0)
    Show your work
  3. 6Circle the letter of the best answer. Show how you know.

    Spot 3 — Vega writes: 'The Coconut Grove is 3 across and 8 up.' Which point on the map is the Coconut Grove?

    1. A(0, 8)
    2. B(3, 8)
    3. C(3, 3)
    4. D(8, 3)
    Show your work

Explain your thinkingYou plotted a triangle. How did the ordered pairs tell you exactly where to place each point?

3-Point Exit Checklist: ☐ 1. Units & Labels Verified ☐ 2. Mathematical Reasoning Stated ☐ 3. Calculations Double-Checked
How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help