8.MATH.7.A
Solve problems involving the volume of cylinders, cones, and spheres.
Grade 8 · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
problemsvolumecylindersconesspheres
Skills
- identify (appropriate volume formulas for cylinders, cones, and spheres) #dok1
- substitute (given values into volume formulas for cylinders, cones, and spheres) #dok1
- solve (problems involving the volume of cylinders, cones, and spheres) #dok2
- apply (volume formulas to real-world and mathematical problem situations) #dok2
- analyze (how changes in dimensions affect the volume of cylinders, cones, and spheres) #dok3
Learning Targets
- I can identify the correct volume formula for cylinders, cones, and spheres. #dok1
- I can substitute given measurements into volume formulas. #dok1
- I can solve problems to find the volume of cylinders, cones, and spheres. #dok2
- I can apply volume formulas to real-world situations involving cylinders, cones, and spheres. #dok2
- I can analyze how changes in radius or height affect the volume of a cylinder, cone, or sphere. #dok3
Big Ideas
- Understanding the relationships among the formulas for the volumes of cylinders, cones, and spheres enables students to solve mathematical and real-world problems involving these shapes.
- Finding the volume of three-dimensional figures is key to making informed decisions and solving problems in geometry and everyday contexts.
Essential Questions
- How do you determine the volume of a cylinder, cone, or sphere?
- In what real-world situations might you need to calculate the volume of a cylinder, cone, or sphere?
- How do changes in the dimensions of a shape, such as radius or height, affect its volume?
- What strategies can help you solve problems involving the volume of different three-dimensional objects?
- Why is it important to know how to find and use the volume of various solids?