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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- 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 total surface area?
Total surface area is…Relational
How is total surface area different from volume?
Total surface area is different from volume because…Inferential
Why do you think total surface area is important in the construction industry?
I think total surface area is important in the construction industry because…
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Students might notice in this visual:
- There is a rectangular prism and a cylinder.
- Both shapes get unfolded.
- The rectangular prism has 6 sides.
- There are formulas and numbers.
- The sides are added together at the end.
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 do you have to add up all the sides separately?
- Is the formula the same for every 3D shape?
- What is the difference between total surface area and just area?
- When would someone actually use this in real life?
- Why does the cylinder formula have pi in it but the rectangular prism one does not?
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 total surface area?
LOW-LEVEL
Total surface area is the measurement of all the outside faces of a 3D shape added together.
HIGH-LEVEL
Total surface area is the sum of the areas of all faces of a three-dimensional figure, including the lateral face and both 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.”
