8.MATH.7.B
Use previous knowledge of surface area to make connections to the formulas for lateral and total surface area and determine solutions for problems involving rectangular prisms, triangular prisms, and cylinders.
Grade 8 · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
previous knowledgesurface areaformulaslateral surface areatotal surface arearectangular prismstriangular prismscylinderssolutionsproblems
Skills
- use (previous knowledge of surface area) #dok1
- make connections (between previous knowledge and formulas for lateral and total surface area) #dok2
- determine solutions (for problems involving rectangular prisms, triangular prisms, and cylinders) #dok2
- apply (surface area formulas to solve real-world and mathematical problems) #dok2
- analyze (problems to select the most appropriate surface area formula) #dok3
Learning Targets
- I can recall formulas for lateral and total surface area of prisms and cylinders. #dok1
- I can identify rectangular prisms, triangular prisms, and cylinders from problem contexts. #dok1
- I can connect my prior understanding of surface area to the formulas for lateral and total surface area. #dok2
- I can use the correct surface area formula to solve problems with prisms and cylinders. #dok2
- I can determine solutions to surface area problems involving rectangular prisms, triangular prisms, and cylinders. #dok2
- I can analyze a word problem to select the appropriate formula for surface area. #dok3
- I can explain how previous knowledge informs my use of surface area formulas for different three-dimensional figures. #dok3
Big Ideas
- Understanding surface area connects prior knowledge to the use of specific formulas for solving real-world geometric problems.
- Different three-dimensional figures require specific lateral and total surface area formulas to determine solutions effectively.
Essential Questions
- How does your previous knowledge of surface area help you understand new formulas for different shapes?
- What is the difference between lateral and total surface area, and when do you use each?
- How can you determine which surface area formula to use for a given three-dimensional figure?
- In what ways do rectangular prisms, triangular prisms, and cylinders differ when calculating surface area?
- Why might it be important to distinguish between lateral and total surface area when solving real-world problems?