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6-8 Grado 6 Unit 7 Lesson 15

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Lesson 15

15.1 Warm-up 15.2 Activity 15.3 Activity Student Lesson Summary

Unit 7, Lesson 15

Figuras en el plano de coordenadas

Grado 6

15.1

Warm-up

Figur-ando el plano de coordenadas

Dibuja una figura en el plano de coordenadas que tenga por lo menos tres de las siguientes propiedades:

6 vértices
exactamente 1 par de lados paralelos
al menos 1 ángulo recto
2 lados con la misma longitud

A coordinate plane with the origin labeled “O”. The numbers 0 through 18 are indicated on the horizontal axis and the numbers 0 through 14 are indicated on the vertical axis.

Are You Ready for More?

15.2

Activity

Grafiquemos polígonos

Estas son las coordenadas de cuatro polígonos. Márcalas en el plano de coordenadas, une los puntos en el orden en que se muestran y marca cada polígono con la letra de su nombre.

Polígono A:
Polígono B:
Polígono C:
Polígono D:

Blank coordinate plane, origin O, horizontal axis negative 10 to 10 by twos, vertical axis negative 8 to 8 by twos.

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15.3

Activity

Cuatro cuadrantes de un laberinto

El diagrama muestra la ruta de Andre a través de un laberinto. Él comenzó en la entrada inferior derecha.

A maze on a coordinate plane. Please ask for additional help.

¿Cuáles son las coordenadas de los dos primeros y los dos últimos puntos de su ruta?
¿Cuánto caminó desde su punto de partida hasta su punto de llegada? Explica o muestra tu razonamiento.

Are You Ready for More?

Student Lesson Summary

Las coordenadas se pueden usar para encontrar longitudes de segmentos en el plano de coordenadas.

Coordinate plane, origin O, axes labeled by ones.

Por ejemplo, para hallar el perímetro de este polígono, podemos encontrar la suma de las longitudes de sus lados. Si comenzamos en y nos movemos en sentido de las manecillas del reloj, podemos ver que las longitudes de los segmentos son 6, 3, 3, 3, 3 y 6 unidades. Por lo tanto, el perímetro es 24 unidades.

En general:

Si dos puntos tienen la misma coordenada , entonces están sobre la misma recta vertical y podemos encontrar la distancia entre ellos.
Si dos puntos tienen la misma coordenada , entonces están sobre la misma recta horizontal y podemos encontrar la distancia entre ellos.

Glossary

None