Geometry
Geometric Figures and Angles
Vertical Alignment
TEKS:
| 7th | 7.9(C), 7.9(D) |
| 8th | 8.7(B) |
| Geom | G.10(A), G.11(C), G.11(D) |
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- Visual
- Word wall visual
- Lesson Plan
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Lesson Materials
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Teacher Guide
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Leveled Reading Passages
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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...
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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.
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.
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.
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.
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.”
Emphasize and celebrate each student’s use of the key vocabulary to support a culture of “no wrong answers.”