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

7.5 Small Group · Group 1

Tier 2 Intervention · Concrete-Representational-Abstract (CRA) · Dual-Language Anchors

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

    A point is at (6, 2). What does the 6 tell you?

    1. AMove 6 units to the right
    2. BMove 6 units up
    3. CMove 6 units to the left
    4. DThe point is in Quadrant 6
    ✏️ Workspace & Solution Steps
  2. 2 DRAG SORT

    Put these steps in order for plotting the point (4, 5).

    Target Categories: Group 1 Group 2
    • Start at the origin (0, 0)
    • Move 4 units to the right along the x-axis
    • Move 5 units up from that spot
    • Place a dot at the point (4, 5)
  3. 3 MATCHING GAME

    Match each ordered pair to its description.

    1. (0, 0)
    2. (4, 2)
    3. (1, 6)
    4. (5, 5)
    5. (3, 0)
    6. (0, 4)
    • AOrigin
    • BRight 4, Up 2
    • CRight 1, Up 6
    • DRight 5, Up 5
    • EOn the x-axis
    • FOn the y-axis
SECTION 2 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 4 MULTIPLE CHOICE

    Which ordered pair names a point 3 units right and 7 units up from the origin?

    1. A(3, 7)
    2. B(7, 3)
    3. C(3, 3)
    4. D(0, 7)
    ✏️ Workspace & Solution Steps
  2. 5 MULTIPLE CHOICE

    What are the coordinates of the origin?

    1. A(0, 0)
    2. B(1, 1)
    3. C(0, 1)
    4. D(1, 0)
    ✏️ Workspace & Solution Steps
SECTION 3 MATHEMATICAL WRITING & ERROR ANALYSIS [Reasoning & Critique]
  1. 6 ERROR ANALYSIS

    Spot the Common Mistake

    1. 1Clue:Plot the point (5, 2).
    2. 2Start:Start at the origin (0, 0). Good.
    3. 3Move up:Move 5 units UP along the y-axis.
    4. 4Move right:Move 2 units to the right. Place the dot at (2, 5).

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

    ✏️ Corrected Mathematical Work & Explanation
🗣️ MATHEMATICAL DISCOURSE & TALK MOVES SMP.3 / Construct Viable Arguments

Group Discussion Prompt: How does your visual model justify your mathematical solution?

🗣️ Partner A:
Partner A: "I modeled this by identifying the relationship and..."
👂 Partner B:
Partner B: "I agree with your step because the standard mathematical rule states..."
✍️ The Writing Revolution (TWR) · Sentence Expansion Because · But · So

Complete each sentence stem to demonstrate precise mathematical reasoning:

BECAUSE The mathematical model proves the solution because each step preserves quantitative equivalence.
BUT An estimate provides a quick benchmark, but an exact proof is required for precision.
SO The quantities follow the standard rule, so the final result is verified with certainty.
📐 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