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

7.7 · Part II

Supported Application · Guided Entry to Today's Problem

vertex · polygon

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ CONCEPT SUMMARY & GUIDED NOTES: 7.7 · Part II
1Polygons on the Coordinate Plane
2Strategy Model — step by step
  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

    Why are two of the terms multiplied by 2 in the perimeter calculation?

    1. AA rectangle's opposite sides are equal, so each length appears on two sides
    2. BBecause perimeter always doubles the area
    3. CBecause there are two coordinates in each ordered pair
    4. DIt is a rounding rule
    ✏️ Workspace & Solution Steps
  2. 2 MULTIPLE CHOICE

    To draw a polygon from a list of vertices, you:

    1. APlot each ordered pair, then connect them in order with segments
    2. BPlot only the first vertex
    3. CConnect the points in any random order
    4. DAdd all the coordinates together
    ✏️ Workspace & Solution Steps
SECTION 2 MATHEMATICAL WRITING & ERROR ANALYSIS [Reasoning & Critique]
  1. 3 OPEN RESPONSE

    A square has vertices (1, 2), (6, 2), (6, -3), (1, -3). Find one side length and the perimeter.

    💬 Sentence Starter: The vertices ___ and ___ share ___ .<br>So one side is ___ , and the perimeter is ___ .
    ✏️ 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
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
6.NOS.9 Lesson 7-7-part2 Apply Day · Version B
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

7.7 · Part II

On-Level Application · Standard Rigor

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.
  1. 1 MULTIPLE CHOICE

    The park's marked vertices are 3 units apart and each unit is 100 feet. What is the park's width?

    1. A300 feet
    2. B3 feet
    3. C103 feet
    4. D30 feet
    ✏️ Workspace & Solution Steps
  2. 2 MULTIPLE CHOICE

    The park's area must be 240,000 sq ft and its width is 300 ft. What is its length?

    1. A800 feet
    2. B80,000 feet
    3. C720 feet
    4. D240,300 feet
    Formula
    Put the numbers in
    Work it out
    Answer with its unit
  3. 3 MULTIPLE CHOICE

    The length is 800 feet and each unit represents 100 feet. How many units long is the park on the map?

    1. A8 units
    2. B80 units
    3. C800 units
    4. D0.8 units
    ✏️ 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.9 Lesson 7-7-part2 Apply Day · Challenge
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

7.7 · Part II

Extension &amp; Non-Routine Application

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.
  1. 1 MULTIPLE CHOICE

    A rectangle has vertices at (1, 1), (7, 1), (7, 5), and (1, 5). What is its perimeter?

    1. A20 units
    2. B24 units
    3. C12 units
    4. D10 units
    Formula
    Put the numbers in
    Work it out
    Answer with its unit
  2. 2 MULTIPLE CHOICE

    Maria is choosing between two store spaces on a grid where each unit is 1 foot and each grid line is 5 feet apart. Space A is a rectangle 25 ft by 40 ft; Space B is 30 ft by 30 ft. Which has more floor area?

    1. ASpace A — 1,000 sq ft vs 900 sq ft
    2. BSpace B — 900 sq ft vs 850 sq ft
    3. CThey are equal
    4. DSpace B — because a square always beats a rectangle
    ✏️ Workspace & Solution Steps
  3. 3 MULTIPLE CHOICE

    A square has vertices (a, b) and (a, b + s) on one side. Which operation gives the side length for ANY values?

    1. ASubtract the y-coordinates and take the absolute value
    2. BAdd all four coordinates
    3. CMultiply a × b
    4. DAverage the coordinates
    ✏️ 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