5.MATH.4.G
Use concrete objects and pictorial models to develop the formulas for the volume of a rectangular prism, including the special form for a cube ($V = l \times w \times h$, $V = s \times s \times s$, and $V = Bh$).
Grade 5 · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
concrete objectspictorial modelsformulasvolumerectangular prismcubelengthwidthheightbasesidespecial formthree-dimensional figure
Skills
- use (concrete objects) #dok1
- use (pictorial models) #dok1
- develop (formulas for the volume of a rectangular prism and a cube) #dok2
- describe (the relationship between length, width, height, and volume) #dok2
- apply (formulas for volume to solve problems) #dok3
Learning Targets
- I can use concrete objects to show the volume of a rectangular prism and a cube. #dok1
- I can use pictorial models to represent volume in three-dimensional figures. #dok1
- I can develop the formula for the volume of a rectangular prism and a cube using models. #dok2
- I can describe how length, width, and height determine volume. #dok2
- I can apply formulas like V = l × w × h or V = s × s × s to solve volume problems. #dok3
- I can solve real-world volume problems by modeling with objects or pictures and explaining my thinking. #dok3
Big Ideas
- Volume can be understood and calculated using concrete objects, pictorial models, and mathematical formulas for three-dimensional figures.
- Formulas for the volume of rectangular prisms and cubes are derived from understanding the relationship between the dimensions and the space occupied.
Essential Questions
- How do concrete objects and pictorial models help you understand the concept of volume?
- What is the formula for finding the volume of a rectangular prism and a cube, and how is it developed?
- How do the length, width, and height of a prism relate to its volume?
- Why is understanding the formula for volume important in real-life situations?
- How can you use models and formulas to solve volume problems with accuracy?