Represent Rational Numbers on the Coordinate Plane
Name Period
Objectives / Objetivos
Content Objective: I can plot and identify points on the coordinate plane using ordered pairs.
Language Objective: I can explain my work using the words coordinate plane, ordered pair, origin, and quadrant.
Key Idea / Idea clave
Coordinate Plane: Plotting Points. Formula: Ordered Pair: (x, y) = (Horizontal, Vertical). 1. Always start at the Origin (0, 0). 2. x-coordinate: Move right for positive (+), left for negative (-). 3. y-coordinate: Move up for positive (+), down for negative (-)
I Notice / Observo
- What shape will the three points make when connected?
- Which number tells you how far right/left? Which tells you up/down?
I Wonder / Me pregunto
- What if one of the coordinates was negative?
Vocabulary / Vocabulario
| Term / Término | Definition / Definición |
|---|---|
| Graph on the Coordinate Plane Representar en el plano de coordenadas | Plot a point by moving horizontally to its x-coordinate and vertically to its y-coordinate. Ubicar un punto moviéndose horizontalmente hasta su coordenada x y verticalmente hasta su coordenada y. |
| Coordinate plane Plano cartesiano | A grid with a line going across and a line going up to plot points. Una cuadrícula con una línea horizontal y una vertical para marcar puntos. |
| Ordered pair Par ordenado | Two numbers (x, y) that tell where a point is on a grid. Dos números (x, y) que dicen dónde está un punto en una cuadrícula. |
| Origin Origen | The point (0, 0) where the two grid lines cross. El punto (0, 0) donde se cruzan las dos líneas de la cuadrícula. |
| 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. |
| Reflection Reflexión | A flipped, mirror image across a line. Una imagen reflejada al otro lado de una línea. |
Practice Preview / Vista previa de práctica
Read each task. Show your work in the spaces provided and explain how you know.
1. Which ordered pair names a point 3 units right and 7 units up from the origin?
- A (0, 7)
- B (3, 7)
- C (3, 3)
- D (7, 3)
Answer:
2. Plot these points to reveal a hidden shape: (1, 1), (1, 5), (6, 5), (6, 1)
- A: (1, 1)
- B: (1, 5)
- C: (6, 5)
- D: (6, 1)
3. Match each point to its quadrant or axis.
Write the letter of the matching item in the blank.
| 1. | (3, 2) | A. | Quadrant III | |
| 2. | (-4, 5) | B. | x-axis | |
| 3. | (-2, -6) | C. | Quadrant I | |
| 4. | (7, -1) | D. | Quadrant II | |
| 5. | (0, 3) | E. | y-axis | |
| 6. | (5, 0) | F. | Quadrant IV |
4. Miscounted Grid Lines
Which step has the mistake, and what should it be?
Reflection / Reflexión
One thing I learned today / Una cosa que aprendí hoy: