What Is Volume?

10 min

Narrative

This Warm-up prompts students to compare four objects made of cubes. It gives students a reason to use language precisely (MP6). It gives the teacher an opportunity to hear how students use terminology to talk about the characteristics of the items in comparison to each other. During the discussion, ask students to explain the meaning of any term they use as they describe the orientations of the objects and the number of cubes in each and reason about their configurations.

This is the first time students experience the Which Three Go Together? 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.

For all Warm-up routines, consider establishing a small, discreet hand signal that students can display to indicate they have an answer that they can support with reasoning. This signal could be a thumbs-up, a certain number of fingers that tells the number of responses they have, or a different subtle signal. This is a quick way to see if students have had enough time to think about the problem. It also keeps students from being distracted or rushed by hands being raised around the class.

Launch

  • Groups of 2
  • Display the image.
  • “Pick 3 objects that go together. Be ready to share why they go together.”
  • 1 minute: quiet think time
Teacher Instructions
  • “Discuss your thinking with your partner.”
  • 2-3 minutes: partner discussion
  • Share and record responses. 

Student Task

Which 3 go together?

A
Rectangular prism. 2 cubes wide. 2 cubes long. 2 cubes high. 

B
Two rows of cubes. Bottom row, 5 cubes. Top row, 3 cubes. 

C
Rectangular prism. 2 cubes by 1 cube by 4 cubes. 

D
Rectangular prism. 5 cubes by 1 cube by 2 cubes. 

Sample Response

Sample responses:

A, B, and C go together because:

  • They each have 8 cubes.

A, B, and D go together because:

  • They are two cubes tall.

A, C, and D go together because:

  • Each row has the same number of cubes
  • Each side or face is a rectangle.

B, C, and D go together because:

  • They have only one layer of cubes.
Activity Synthesis (Teacher Notes)
  • “Compare Objects A and C.” 
  • “What is the same?” (The cubes are stacked. Each row has the same number of cubes. Each object has 8 cubes.)
  • “What is different?” (The cubes are arranged differently. C has 1 layer and A has 2 layers. The side or face of A is a square and the side or face of C is a rectangle.)
Standards
Building Toward
  • 5.MD.3·Recognize volume as an attribute of solid figures and understand concepts of volume measurement.
  • 5.MD.C.3·Recognize volume as an attribute of solid figures and understand concepts of volume measurement.

15 min

20 min