6.NOS.7 Lesson 7-8-group1 🟡 Group 1 · Set B
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

7.8 Small Group · Group 1

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

Ordered Pairs in All Four Quadrants · Quadrant · Procedural Fluency · Real-World Applications

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ CONCEPT SUMMARY & GUIDED NOTES: Let's build it together — How do you plot points in all four quadrants?
1The signs of (x, y) tell you the quadrant: (+,+) is I, (-,+) is II, (-,-) is III, (+,-) is IV.
  • The coordinate plane has four parts called quadrants. A negative coordinate means you move left (for x) or down (for y) from the origin instead of right or up. 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 (-3, -4). I start at the origin (0, 0).
  2. The x is -3, which is negative, so I move 3 units to the LEFT.
  3. The y is -4, which is negative, so I move 4 units DOWN. I place my dot.
  4. Both coordinates are negative, so the point is in Quadrant III.
3Mathematical Word Bank
  • Ordered Pairs in All Four Quadrants (Pares ordenados en los cuatro cuadrantes) — Points written as (x, y) whose positive or negative coordinates place them in one of four quadrants.
  • Quadrant (Cuadrante) — One of the four parts of a coordinate grid, numbered I to IV.
  • Negative coordinate (Coordenada negativa) — A coordinate less than zero. It means left or below the center point.
  • Reflection (Reflexión) — A flipped, mirror image across a line.
  • Axis (Eje) — One of the two number lines that frame a graph: the x-axis runs across, the y-axis runs up and down.
  • Integer (Número entero) — Whole numbers and their opposites, like -2, -1, 0, 1, 2.
4Watch out
  • A common mistake in Ordered Pairs in All Four Quadrants is matching each sign to the wrong axis — for example, seeing (-2, 5) and thinking "the x is negative so I move DOWN, and the y is positive so I move RIGHT," which lands the point in Quadrant IV. But the x-coordinate always controls left/right, never up/down: negative x means LEFT (not down), and positive y means UP (not right). So (-2, 5) is actually left 2, up 5 — Quadrant II. Before you submit, check that you used the x-coordinate for left/right and the y-coordinate for up/down, and never swapped them.
SECTION 1 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 1 MULTIPLE CHOICE

    Point A is at (-5, 3). If you move 8 units to the right, what are the new coordinates?

    1. A(3, 3)
    2. B(-13, 3)
    3. C(-5, 11)
    4. D(-5, -5)
    ✏️ Workspace & Solution Steps
  2. 2 MULTIPLE CHOICE

    In which quadrant is the point (-3, 5)?

    1. AQuadrant I
    2. BQuadrant II
    3. CQuadrant III
    4. DQuadrant IV
    ✏️ Workspace & Solution Steps
  3. 3 MULTIPLE CHOICE

    What are the coordinates of a point 4 units right and 2 units down from the origin?

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

    A sonar ping locates an enemy submarine at (-5, -2). In which quadrant should Captain Vega aim her shot?

    1. AQuadrant I
    2. BQuadrant II
    3. CQuadrant III
    4. DQuadrant IV
    ✏️ Workspace & Solution Steps
  5. 5 MULTIPLE CHOICE

    Captain Vega's lookout reports a ship in Quadrant II. What signs will its coordinates (x, y) have?

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

    Level 2 Extension — The Misfired Shot

    1. 1Target:An enemy ship is at (-3, 4). In which quadrant should Captain Vega fire?
    2. 2Gunner's thinking:Ignore the signs and just use the numbers 3 and 4. Both numbers are there, so it must be a bottom-left target.
    3. 3Gunner's answer:Fire on Quadrant III

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

    ✏️ Corrected Mathematical Work & Explanation
📐 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