6.NOS.7 Lesson 7-8-part2 Apply Day · Version B
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

7.8 · Part II

On-Level Application · Standard Rigor

Ordered Pairs in All Four Quadrants · Quadrant

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 7.8 · Part II
1The Four Quadrants
2The Structural Procedure
  1. Quadrant I: Upper-right (+, +)
  2. Quadrant II: Upper-left (−, +)
  3. Quadrant III: Lower-left (−, −); Quadrant IV: Lower-right (+, −)
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.
  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
📐 CER MATHEMATICAL PROOF MATRIX (CER 2.0) SMP.3 / Proof & Justification

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

C Claim
State your direct mathematical answer/claim with units.
E Evidence
Cite exact numbers, calculations, dimensions, or graph data.
R Reasoning
Explain the mathematical theorem, property, or definition connecting evidence to claim.
Student Mastery Self-Assessment:
1 · Need More Support
2 · Getting Closer
3 · Got It / Solid
4 · Master / Can Teach It
6.NOS.7 Lesson 7-8-part2 Apply Day · Challenge
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

7.8 · Part II

Extension & Non-Routine Application

Ordered Pairs in All Four Quadrants · Quadrant

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 7.8 · Part II
1The Four Quadrants
2The Structural Procedure
  1. Quadrant I: Upper-right (+, +)
  2. Quadrant II: Upper-left (−, +)
  3. Quadrant III: Lower-left (−, −); Quadrant IV: Lower-right (+, −)
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

    In which quadrant does the point (−4, 3) lie?

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

    A point (a, b) has a < 0 and b < 0. In which quadrant does it lie?

    1. AQuadrant I
    2. BQuadrant II
    3. CQuadrant IV
    4. DQuadrant III
    ✏️ Workspace & Solution Steps
SECTION 2 MATHEMATICAL WRITING & ERROR ANALYSIS [Reasoning & Critique]
  1. 3 OPEN RESPONSE

    A point starts in Quadrant I at (4, 6). Describe a move that puts it in Quadrant III. What must happen to both coordinates? Can you give the exact new coordinates after your move?

    ✏️ 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
State your direct mathematical answer/claim with units.
E Evidence
Cite exact numbers, calculations, dimensions, or graph data.
R Reasoning
Explain the mathematical theorem, property, or definition connecting evidence to claim.
Student Mastery Self-Assessment:
1 · Need More Support
2 · Getting Closer
3 · Got It / Solid
4 · Master / Can Teach It