6.NOS.7
Lesson 7-8-part2
Apply Day · Set B
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice
7.8 · Part II
Second Practice Form · Independent Application and Spiral Review
Ordered Pairs in All Four Quadrants · Quadrant
■ ADVANCED CONCEPT ANCHOR: 7.8 · Part II
1The Four Quadrants
2The Structural Procedure
- Quadrant I: Upper-right (+, +)
- Quadrant II: Upper-left (−, +)
- 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 MULTIPLE CHOICE
A sonar ping locates an enemy submarine at (-5, -2). In which quadrant should Captain Vega aim her shot?
- AQuadrant I
- BQuadrant II
- CQuadrant III
- DQuadrant IV
✏️ Workspace & Solution Steps -
2 MULTIPLE CHOICE
Captain Vega's lookout reports a ship in Quadrant II. What signs will its coordinates (x, y) have?
- A(+, +)
- B(-, +)
- C(-, -)
- D(+, -)
✏️ Workspace & Solution Steps -
3 MULTIPLE CHOICE
Reflecting the point (3, -6) across the x-axis gives which point?
- A(3, 6)
- B(-3, -6)
- C(-3, 6)
- D(6, 3)
✏️ Workspace & Solution Steps -
4 MULTIPLE CHOICE
In which quadrant is the point (-4, 5)?
- AQuadrant I
- BQuadrant II
- CQuadrant III
- DQuadrant IV
✏️ Workspace & Solution Steps -
5 MULTIPLE CHOICE
A point has a positive x-coordinate and a negative y-coordinate. Which quadrant is it in?
- AQuadrant I
- BQuadrant II
- CQuadrant III
- DQuadrant IV
✏️ Workspace & Solution Steps -
6 MULTIPLE CHOICE
Which point is located on the x-axis?
- A(4, 0)
- B(0, 4)
- C(4, 4)
- D(-4, -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.