6.NOS.6 Lesson 7-5-part2 Apply Day · Practice
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

7.5 · Part II

Application Practice for Today's Problem

Graph on the Coordinate Plane · Coordinate plane

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ CONCEPT SUMMARY & GUIDED NOTES: 7.5 · Part II
1Coordinate Plane: Plotting Points
2Strategy Model — step by step
  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 (-)
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 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