6.NOS.6
Lesson 7-5-part2
Apply Day · Set B
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice
7.5 · Part II
Second Practice Form · Independent Application and Spiral Review
Graph on the Coordinate Plane · Coordinate plane
■ ADVANCED CONCEPT ANCHOR: 7.5 · Part II
1Coordinate Plane: Plotting Points
2The Structural Procedure
- Always start at the Origin (0, 0)
- x-coordinate: Move right for positive (+), left for negative (-)
- 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]
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1 MULTIPLE CHOICE
A point is at (6, 2). What does the 6 tell you?
- AMove 6 units to the right
- BMove 6 units up
- CMove 6 units to the left
- DThe point is in Quadrant 6
✏️ Workspace & Solution Steps
SECTION 2
REAL-WORLD CONTEXTS & PROBLEM SOLVING
[Applications]
-
2 MULTIPLE CHOICE
Starting at the origin, which point is located by moving 4 units LEFT and 3 units UP?
- A(−4, 3)
- B(4, 3)
- C(3, −4)
- D(−3, 4)
✏️ Workspace & Solution Steps -
3 MULTIPLE CHOICE
Which ordered pair names a point 3 units right and 7 units up from the origin?
- A(3, 7)
- B(7, 3)
- C(3, 3)
- D(0, 7)
✏️ Workspace & Solution Steps -
4 MULTIPLE CHOICE
What are the coordinates of the origin?
- A(0, 0)
- B(1, 1)
- C(0, 1)
- D(1, 0)
✏️ 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.