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7th Grade lateral surface area 🌐 Ver en Español
Geometry
Geometric Figures and Angles
Vertical Alignment

TEKS:

7th7.9(C), 7.9(D)
8th8.7(B)
GeomG.10(A), G.11(C), G.11(D)
Linked To
Structured Conversation Questions
Observational

What is lateral surface area?

Lateral surface area is...
Relational

How is lateral surface area related to a Base?

Lateral surface area is related to a Base because...
Inferential

Why do you think its important to consider the lateral surface area when constructing a building?

I think its important to consider the lateral surface area when constructing a building because...
Vocab Visual
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Students might notice in this visual:
  • The lateral surface area includes only the side faces of the shapes
  • The Base is not included in the lateral surface area
  • The cube has 4 equal side faces
  • The pyramid has triangular side faces instead of square ones
  • The area of each face is calculated and then added together
EXTENDING THE DISCUSSION
After the observational question, randomly call on one or more students to share what they or their partner answered. Then ask the class, “Did anyone notice…?” using the suggestions above or anything else you’ve noticed.
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Students might wonder:
  • Why are there 4 lateral faces in both shapes?
  • How do we know which faces are lateral faces and which are the Base?
  • Why are the lateral faces different shapes (squares vs. triangles)?
  • How do we find the area of each lateral face?
  • Why do we multiply the area of one face by 4?
EXTENDING THE DISCUSSION
After students have shared what they notice, ask the class, “Did anyone wonder…?” using the suggestions above or anything else you might think is interesting or relevant to the lesson.
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Example student responses

To the observational question, What is lateral surface area?

LOW-LEVEL

Lateral surface area is the area of the sides of a shape.

HIGH-LEVEL

Lateral surface area is the total area of all the faces of a three-dimensional figure except for the bases.

RESPONDING TO RESPONSES
Emphasize and celebrate each student’s use of the key vocabulary to support a culture of “no wrong answers.”
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