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6-8 Grado 7 Unit 7 Lesson 5

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IM K-5 Math
IM 6-8 Math
IM 9-12 Math

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Lesson 5

5.1 Warm-up 5.2 Activity 5.3 Activity Student Lesson Summary

Unit 7, Lesson 5

Usemos ecuaciones para encontrar ángulos desconocidos

Grado 7

5.1

Warm-up

¿Es suficiente?

Tyler piensa que en esta figura hay suficiente información para averiguar los valores de y .

¿Estás de acuerdo? Explica tu razonamiento.

Two rays on the same side of line l meet at the same point to form 3 angles, a, 90 degrees, b.

Are You Ready for More?

5.2

Activity

¿A qué se parece?

Elena y Diego escribieron cada uno ecuaciones para representar estos diagramas. Para cada diagrama, decide con cuál ecuación estás de acuerdo y luego resuélvela.

Elena:

Diego:
Elena:

Diego:
Elena:

Diego:
Elena:

Diego:
Elena:

Diego:

Are You Ready for More?

5.3

Activity

Calculemos la medida

Encuentra las medidas de los ángulos desconocidos. Muestra tu razonamiento. Organízalo para que otros puedan entenderlo.

Two lines meet to form 4 angles. One set of adjacent angles is labeled w degrees, 124 degrees.

Two rays on the same side of line l meet at point Q to form 3 angles, 52 degrees, b degrees, 23 degrees.

Two lines and a ray meet at the point where line m is perpendicular to line l. Ask for additional assistance.

Two lines form vertical angles, one is labeled 120 degrees, the other is split by rays into three angles labeled m degrees, 66 degrees, m degrees.

Are You Ready for More?

Student Lesson Summary

Para encontrar una medida desconocida de un ángulo, algunas veces es útil escribir y resolver una ecuación que representa la situación. Por ejemplo, supongamos que queremos saber el valor de en este diagrama.

Two lines meet to form 4 angles. An angle is labeled 144 degrees. It's vertical angle is split into 4 smaller angles, x degrees, x degrees, x degrees, 90 degrees.

Usando lo que sabemos sobre ángulos opuestos por el vértice, podemos escribir la ecuación para representar esta situación. Después podemos resolver la ecuación.

Glossary

None

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