7adv.MATH.11.E
Solve problems involving the volume of cylinders, cones, and spheres.
Grade 7 (Advanced) · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
problemsvolumecylindersconesspheres
Skills
- solve (problems involving the volume of cylinders) #dok2
- solve (problems involving the volume of cones) #dok2
- solve (problems involving the volume of spheres) #dok2
- apply (volume formulas for cylinders, cones, and spheres to real-world scenarios) #dok3
- justify (solutions to volume problems using mathematical reasoning) #dok3
Learning Targets
- I can identify when to use the volume formulas for cylinders, cones, and spheres. #dok1
- I can substitute given values into the volume formulas for cylinders, cones, and spheres. #dok1
- I can solve problems to find the volume of cylinders, cones, and spheres. #dok2
- I can explain the process for finding volume when given different types of three-dimensional figures. #dok2
- I can set up and interpret real-world problems involving the volume of cylinders, cones, and spheres. #dok3
- I can justify and reflect on the reasonableness of a solution involving the volume of cylinders, cones, or spheres. #dok3
Big Ideas
- Understanding and applying volume formulas allows us to solve real-world and mathematical problems involving cylinders, cones, and spheres.
- Connecting geometric concepts to real-life objects and situations helps develop spatial reasoning and problem-solving skills.
Essential Questions
- How do the formulas for volume differ among cylinders, cones, and spheres?
- What real-life situations might require calculating the volume of a cylinder, cone, or sphere?
- How can you determine which formula to use for a given problem involving three-dimensional figures?
- Why is it important to be able to solve problems involving the volume of various geometric shapes?
- How can we check if our calculated volume makes sense for the context of the problem?