Represent Rational Numbers on the Coordinate Plane

6.NOS.6 · Unit 7 · Lesson 5

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 / TérminoDefinition / 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

  1. Which ordered pair names a point 3 units right and 7 units up from the origin?
    1. (3, 7)
    2. (7, 3)
    3. (3, 3)
    4. (0, 7)
  2. Plot these points to reveal a hidden shape: (1, 1), (1, 5), (6, 5), (6, 1)
  3. Match each point to its quadrant or axis.
  4. Miscounted Grid Lines
    1. Step 1: Ordered pair — (7, 3)
    2. Step 2: Move along the x-axis — Start at the origin (0, 0) and count 7 units to the right.
    3. Step 3: Move along the y-axis — Count up from the x-axis: 1, 2, 3, 4 — stop on 4.
    4. Step 4: Plot the point — Place the dot at (7, 4).

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

Reflection / Reflexión

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