Ordered Pairs in All Four Quadrants

6.NOS.7 · Unit 7 · Lesson 8

Name   Period

Objectives / Objetivos

Content Objective: I can plot ordered pairs in all four quadrants of the coordinate plane.

Language Objective: I can explain my work using the words quadrant, negative coordinate, reflection, and axis.

Key Idea / Idea clave

The Four Quadrants. Formula: Quadrant I: (+, +) | Quadrant II: (−, +) | Quadrant III: (−, −) | Quadrant IV: (+, −). 1. Quadrant I: Upper-right (+, +). 2. Quadrant II: Upper-left (−, +). 3. Quadrant III: Lower-left (−, −); Quadrant IV: Lower-right (+, −)

I Notice / Observo

  • How do you know which quadrant a point is in by looking at the signs of its coordinates?
  • What do negative x-values and negative y-values mean on the map?

I Wonder / Me pregunto

  • Can a point be in more than one quadrant?

Vocabulary / Vocabulario

Term / TérminoDefinition / Definición
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.
Puntos escritos como (x, y) cuyas coordenadas positivas o negativas los ubican en uno de cuatro cuadrantes.
Quadrant
Cuadrante		One of the four parts of a coordinate grid, numbered I to IV.
Una de las cuatro partes de una cuadrícula de coordenadas, numeradas I a IV.
Negative coordinate
Coordenada negativa		A coordinate less than zero. It means left or below the center point.
Una coordenada menor que cero. Significa a la izquierda o debajo del centro.
Reflection
Reflexión		A flipped, mirror image across a line.
Una imagen reflejada al otro lado de una línea.
Axis
Eje		One of the two number lines that frame a graph: the x-axis runs across, the y-axis runs up and down.
Una de las dos rectas numéricas que enmarcan una gráfica: el eje x va horizontal y el eje y va vertical.
Integer
Número entero		Whole numbers and their opposites, like -2, -1, 0, 1, 2.
Números enteros y sus opuestos, como -2, -1, 0, 1, 2.

Practice Preview / Vista previa de práctica

  1. In which quadrant is the point (-4, 5)?
    1. Quadrant I
    2. Quadrant II
    3. Quadrant III
    4. Quadrant IV
  2. Plot one point in each quadrant: (3, 2), (-4, 1), (-2, -3), (5, -4)
  3. For each ordered pair, write the signs of x and y and name the quadrant (or axis).
  4. Find the Quadrant Error
    1. Step 1: Problem — Identify the quadrant for (-3, -5)
    2. Step 2: Student thinking — The x is -3, so I go left 3. The y is -5, so I go up 5.
    3. Step 3: Student answer — (-3, -5) is in Quadrant II

    Which step has the mistake? Explain it and write the correct work.

Reflection / Reflexión

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