Ordered Pairs in All Four Quadrants
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 / Término | Definition / 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
Read each task. Show your work in the spaces provided and explain how you know.
1. In which quadrant is the point (-4, 5)?
- A Quadrant I
- B Quadrant III
- C Quadrant II
- D Quadrant IV
Answer:
2. Plot one point in each quadrant: (3, 2), (-4, 1), (-2, -3), (5, -4)
- I: (3, 2)
- II: (-4, 1)
- III: (-2, -3)
- IV: (5, -4)
3. For each ordered pair, write the signs of x and y and name the quadrant (or axis).
Complete each empty cell. Show your reasoning below.
| Point | x sign | y sign | Quadrant or Axis |
|---|---|---|---|
| (6, -2) | |||
| (-3, -5) | |||
| (0, 7) | |||
| (-1, 8) | |||
| (4, 0) |
4. Find the Quadrant Error
Which step has the mistake, and what should it be?
Reflection / Reflexión
One thing I learned today / Una cosa que aprendí hoy: