Side Lengths of Rectangular Prisms
10 min
Narrative
The purpose of this Warm-up is for students to notice that each face of a prism can be the base, which will be useful when students use a base of a prism to find the prism’s volume in a later activity. While students may notice and wonder many things about these images, the relationship between the images of the prism and the images of the rectangular figures are the important discussion points.
This is the first time students experience the Notice and Wonder routine in grade 5. Students are familiar with this routine from a previous grade, however, they may benefit from a brief review of the steps involved.
Launch
- Groups of 2
- Display the images for all to see.
Teacher Instructions
- Ask students to think of at least one thing they notice and at least one thing they wonder.
- 1 minute: quiet think time
- 2 minute: partner discussion
- Share and record responses.
Student Task
What do you notice? What do you wonder?
Sample Response
Students may notice:
- All the prisms have a volume of 12 unit cubes.
- The bottoms of the prisms match the rectangular figures.
- The prism on the left is 2 units long and so is the rectangular figure underneath it.
Students may wonder:
- Are they all the same prism?
- Is the prism supposed to be moving?
- Do the prisms fit on top of the rectangular figures?
Activity Synthesis (Teacher Notes)
- “These rectangular figures show different faces of the prisms. Any face of a prism can be a ‘base.’ We are going to learn more about this in the activities.”
- “Where do we see each base in the prism?”
Standards
- 5.MD.5.b·Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems.
- 5.MD.C.5.b·Apply the formulas <span class="math">\(V = l \times w \times h\)</span> and <span class="math">\(V = b \times h\)</span> for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems.
10 min
15 min
10 min
Knowledge Components
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Side Lengths of Rectangular Prisms
10 min
Narrative
The purpose of this Warm-up is for students to notice that each face of a prism can be the base, which will be useful when students use a base of a prism to find the prism’s volume in a later activity. While students may notice and wonder many things about these images, the relationship between the images of the prism and the images of the rectangular figures are the important discussion points.
This is the first time students experience the Notice and Wonder routine in grade 5. Students are familiar with this routine from a previous grade, however, they may benefit from a brief review of the steps involved.
Launch
- Groups of 2
- Display the images for all to see.
Teacher Instructions
- Ask students to think of at least one thing they notice and at least one thing they wonder.
- 1 minute: quiet think time
- 2 minute: partner discussion
- Share and record responses.
Student Task
What do you notice? What do you wonder?
Sample Response
Students may notice:
- All the prisms have a volume of 12 unit cubes.
- The bottoms of the prisms match the rectangular figures.
- The prism on the left is 2 units long and so is the rectangular figure underneath it.
Students may wonder:
- Are they all the same prism?
- Is the prism supposed to be moving?
- Do the prisms fit on top of the rectangular figures?
Activity Synthesis (Teacher Notes)
- “These rectangular figures show different faces of the prisms. Any face of a prism can be a ‘base.’ We are going to learn more about this in the activities.”
- “Where do we see each base in the prism?”
Standards
- 5.MD.5.b·Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems.
- 5.MD.C.5.b·Apply the formulas <span class="math">\(V = l \times w \times h\)</span> and <span class="math">\(V = b \times h\)</span> for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems.