6.NOS.6 Lesson 7-5-group1 🟡 Group 1 · Set B
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

7.5 Small Group · Group 1

Second Practice Form · Re-Teach, Homework or Retake · Same Standard, New Problems

Graph on the Coordinate Plane · Coordinate plane · Procedural Fluency · Reasoning & Critique

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ CONCEPT SUMMARY & GUIDED NOTES: Let's build it together — How do you plot a point on the coordinate plane?
1Always start at the origin (0, 0), move right/left first, then up/down.
  • 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. We'll walk through a worked example, try one together, then you'll try a few with hints right there when you need them.
2Worked Example — Watch me
  1. I will plot the point (5, 4). The 5 is the x-coordinate, and the 4 is the y-coordinate.
  2. I start at the origin, which is (0, 0).
  3. First I move 5 units to the right along the x-axis.
  4. Then I move 4 units up. I place my dot. That is the point (5, 4).
3Mathematical Word Bank
  • Graph on the Coordinate Plane (Representar en el plano de coordenadas) — Plot a point by moving horizontally to its x-coordinate and vertically to its y-coordinate.
  • Coordinate plane (Plano cartesiano) — A grid with a line going across and a line going up to plot points.
  • Ordered pair (Par ordenado) — Two numbers (x, y) that tell where a point is on a grid.
  • Origin (Origen) — The point (0, 0) where the two grid lines cross.
  • Quadrant (Cuadrante) — One of the four parts of a coordinate grid, numbered I to IV.
  • Reflection (Reflexión) — A flipped, mirror image across a line.
4Watch out
  • 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.
SECTION 1 CONCEPTUAL UNDERSTANDING & VISUAL MODELS [Visual Modeling]
  1. 1 MULTIPLE CHOICE

    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
    ✏️ Workspace & Solution Steps
SECTION 2 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 2 MULTIPLE CHOICE

    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(7, 2)
    2. B(2, 7)
    3. C(7, 0)
    4. D(2, 2)
    ✏️ Workspace & Solution Steps
  2. 3 MULTIPLE CHOICE

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

    1. A(3, 8)
    2. B(8, 3)
    3. C(3, 3)
    4. D(0, 8)
    ✏️ Workspace & Solution Steps
SECTION 3 MATHEMATICAL WRITING & ERROR ANALYSIS [Reasoning & Critique]
  1. 4 ERROR ANALYSIS

    Level 2 Extension — Captain Vega's Misread Coordinate

    1. 1Clue:The Pirate Flag is at (3, 6).
    2. 2Read the x-coordinate:Move 3 units to the right along the x-axis.
    3. 3Read the y-coordinate:Move 1 unit up along the y-axis.
    4. 4Plot the point:Place the flag where (3, 1) would go.

    Which step contains the error? Explain the mathematical misconception and write the correct calculation below.

    ✏️ Corrected Mathematical Work & Explanation
  2. 5 ERROR ANALYSIS

    Miscounted Grid Lines

    1. 1Ordered pair:(7, 3)
    2. 2Move along the x-axis:Start at the origin (0, 0) and count 7 units to the right.
    3. 3Move along the y-axis:Count up from the x-axis: 1, 2, 3, 4 — stop on 4.
    4. 4Plot the point:Place the dot at (7, 4).

    Which step contains the error? Explain the mathematical misconception and write the correct calculation below.

    ✏️ Corrected Mathematical Work & Explanation
  3. 6 OPEN RESPONSE

    A student says that (3, 5) and (5, 3) are the same point because they use the same numbers. Is the student correct? Explain why or why not, and describe where each point is located on the coordinate plane.

    💬 Sentence Starter: The student is ___ because (3, 5) means ___ while (5, 3) means ___. The ORDER matters because ___.
    ✏️ Mathematical Justification & Response
📐 CER MATHEMATICAL PROOF MATRIX (CER 2.0) SMP.3 / Proof & Justification

Writing Task: Justify why your mathematical solution is accurate and complete.

C Claim
Starter: My mathematical claim is that the solution is...
E Evidence
Starter: The evidence from the model/table demonstrates that...
R Reasoning
Starter: This proves my answer because the standard mathematical definition of...
Student Mastery Self-Assessment:
1 · Need More Support
2 · Getting Closer
3 · Got It / Solid
4 · Master / Can Teach It