Represent Polygons on the Coordinate Plane

6.NOS.9 · Unit 7 · Lesson 7

Name   Period

Objectives / Objetivos

Content Objective: I can draw polygons from their vertex coordinates on the coordinate plane, and use coordinates to find side lengths and solve perimeter and area problems.

Language Objective: I can explain how I found a distance using the words vertices, coordinates, and absolute value.

Key Idea / Idea clave

Polygons on the Coordinate Plane. 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

Vocabulary / Vocabulario

Term / TérminoDefinition / Definición
vertex
vértice		A corner point of a polygon, named by an ordered pair on the coordinate plane.
Un punto de esquina de un polígono, nombrado por un par ordenado en el plano de coordenadas.
polygon
polígono		A closed figure made of line segments; on the plane you draw it by plotting the vertices and connecting them in order.
Una figura cerrada hecha de segmentos; en el plano se dibuja marcando los vértices y conectándolos en orden.
perimeter
perímetro		The total distance around a polygon — the sum of all its side lengths.
La distancia total alrededor de un polígono: la suma de todos sus lados.
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.
Cuando dos vértices comparten una coordenada x o y, la distancia es la diferencia absoluta de las otras coordenadas.
scale
escala		What one grid unit stands for in the real situation.
Lo que representa una unidad de la cuadrícula en la situación real.

Practice Preview / Vista previa de práctica

  1. Vertices (-4.5, 3) and (5, 3) share y = 3. What is the distance between them?
    1. 9.5 units
    2. 0.5 units
    3. 8 units
    4. 1.5 units
  2. The park's marked vertices are 3 units apart and each unit is 100 feet. What is the park's width?
    1. 300 feet
    2. 3 feet
    3. 103 feet
    4. 30 feet
  3. The park's area must be 240,000 sq ft and its width is 300 ft. What is its length?
    1. 800 feet
    2. 80,000 feet
    3. 720 feet
    4. 240,300 feet
  4. 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. Space A — 1,000 sq ft vs 900 sq ft
    2. Space B — 900 sq ft vs 850 sq ft
    3. They are equal
    4. Space B — because a square always beats a rectangle

Reflection / Reflexión

One thing I learned today / Una cosa que aprendí hoy: