Ordered Pairs in All Four Quadrants

6.NOS.7 · Unit 9 · Lesson 5

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 signs of (x, y) tell you the quadrant: (+,+) is I, (-,+) is II, (-,-) is III, (+,-) is IV.

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
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		A line on the grid. The x-axis goes across; the y-axis goes up.
Una línea en la cuadrícula. El eje x va de lado; el eje y va hacia arriba.
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: