6.NOS.9 Lesson 7-7-part2 Apply Day · Set B
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

7.7 · Part II

Second Practice Form · Independent Application and Spiral Review

vertex · polygon

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 7.7 · Part II
1Polygons on the Coordinate Plane
2The Structural Procedure
  1. Plot all given vertices and connect them in order to form the polygon
  2. Find side lengths by counting grid units or using coordinate distance formulas
  3. Perimeter = Sum of all side lengths; Area = Use standard polygon formulas
3Mathematical Word Bank
  • vertex (vértice) — A corner point of a polygon, named by an ordered pair on the coordinate plane.
  • polygon (polígono) — A closed figure made of line segments; on the plane you draw it by plotting the vertices and connecting them in order.
  • perimeter (perímetro) — The total distance around a polygon — the sum of all its side lengths.
  • distance between vertices (distancia entre vértices) — When two vertices share an x- or y-coordinate, the distance between them is the absolute difference of the other coordinates.
  • scale (escala) — What one grid unit stands for in the real situation.
4Watch out
  • Subtracting coordinates without the absolute value — from y = 3 down to y = −3.75 the distance is 3 + 3.75 = 6.75 units, not 3.75 − 3 = 0.75. Distances that cross zero are the whole reason the absolute value is there.
SECTION 1 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 1 MULTIPLE CHOICE

    The known vertices of the park are at (2, 4) and (5, 4), and the length runs DOWNWARD 8 units. Where are the other two vertices?

    1. A(2, -4) and (5, -4)
    2. B(2, 12) and (5, 12)
    3. C(10, 4) and (13, 4)
    4. D(2, -8) and (5, -8)
    ✏️ Workspace & Solution Steps
  2. 2 MULTIPLE CHOICE

    A rectangle has vertices (-3, 2), (4, 2), (4, -1), (-3, -1). What is its perimeter?

    1. A20 units
    2. B10 units
    3. C21 units
    4. D13 units
    Formula
    Put the numbers in
    Work it out
    Answer with its unit
  3. 3 MULTIPLE CHOICE

    Vertices (-4.5, 3) and (5, 3) share y = 3. What is the distance between them?

    1. A9.5 units
    2. B0.5 units
    3. C8 units
    4. D1.5 units
    My work — one step per lineWhat I did to both sides
  4. 4 MULTIPLE CHOICE

    Vertices (5, 3) and (5, -3.75) share x = 5. What is the distance between them?

    1. A6.75 units
    2. B0.75 units
    3. C5 units
    4. D8.75 units
    My work — one step per lineWhat I did to both sides
  5. 5 MULTIPLE CHOICE

    What is the perimeter of the rectangle with side lengths 9.5 and 6.75 units?

    1. A32.5 units
    2. B16.25 units
    3. C64.125 units
    4. D26 units
    Formula
    Put the numbers in
    Work it out
    Answer with its unit
SECTION 2 MATHEMATICAL WRITING & ERROR ANALYSIS [Reasoning & Critique]
  1. 6 OPEN RESPONSE

    The park design used width from coordinates, then length from the area, then the scale to place the missing vertices. Design your own version: pick an area and a scale, mark two vertices, and show where the other two go.

    ✏️ Mathematical Justification & Response
  2. 7 OPEN RESPONSE

    Check the deck's perimeter of 32.5 units a DIFFERENT way than adding the four sides in order.

    ✏️ 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