7.MATH.9.A
Solve problems involving the volume of rectangular prisms, triangular prisms, rectangular pyramids, and triangular pyramids.
Grade 7 · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
problemsvolumerectangular prismstriangular prismsrectangular pyramidstriangular pyramids
Skills
- solve (problems involving the volume of prisms and pyramids) #dok2
- identify (the appropriate volume formulas for different 3D shapes) #dok1
- apply (volume formulas to real-world and mathematical problems) #dok2
- analyze (how changes in dimensions affect volume) #dok3
- justify (solutions and processes used in solving volume problems) #dok3
Learning Targets
- I can identify formulas for the volume of rectangular prisms, triangular prisms, rectangular pyramids, and triangular pyramids. #dok1
- I can use given measurements to calculate the volume of these geometric shapes. #dok2
- I can solve real-world and mathematical problems that require finding the volume of prisms and pyramids. #dok2
- I can explain and justify my reasoning when solving problems involving the volume of prisms and pyramids. #dok3
- I can analyze how changes in base area or height affect the volume of prisms and pyramids. #dok3
Big Ideas
- Volume is a measure of the amount of space inside three-dimensional figures such as prisms and pyramids.
- Different solids have different volume formulas, and understanding the structure of these solids helps in solving real-world and mathematical problems.
Essential Questions
- How do you calculate the volume of a prism or a pyramid?
- Why do prisms and pyramids with the same base area and height have different volumes?
- In what real-life situations might you need to find the volume of these shapes?
- How does changing the dimensions of a prism or pyramid affect its volume?
- What strategies can be used to check the reasonableness of your solution for volume problems?