Represent Volume with Expressions
10 min
Narrative
The purpose of this Warm-up is for students to notice that figures composed of two right rectangular prisms can be decomposed in different ways, which will be useful when students find the volumes of figures composed of two right rectangular prisms in a later activity. While students may notice and wonder many things about these images, comparing the side lengths of the two figures is the important discussion point.
Launch
- Groups of 2
- Display the image.
- “What do you notice? What do you wonder?”
Teacher Instructions
- 1 minute: quiet think time
- 1 minute: partner discussion
- Share and record responses.
Student Task
What do you notice? What do you wonder?
Sample Response
Students may notice:
- Some of the side lengths are the same for the two figures.
- There is a blue prism and an orange prism in both figures.
- The blue prism is shorter in the figure on the left.
- The orange prism is longer in the prism on the left.
Students may wonder:
- Are they the same figure?
- What are the volumes of the figures?
Activity Synthesis (Teacher Notes)
- “Do you think the pictures show the same figure? Why or why not?” (Yes, they look the same. Yes, I can use the given side lengths to calculate that they are the same.)
Standards
- 5.MD.5.c·Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems.
- 5.MD.C.5.c·Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems.
10 min
25 min
Knowledge Components
All skills for this lesson
No KCs tagged for this lesson
Represent Volume with Expressions
10 min
Narrative
The purpose of this Warm-up is for students to notice that figures composed of two right rectangular prisms can be decomposed in different ways, which will be useful when students find the volumes of figures composed of two right rectangular prisms in a later activity. While students may notice and wonder many things about these images, comparing the side lengths of the two figures is the important discussion point.
Launch
- Groups of 2
- Display the image.
- “What do you notice? What do you wonder?”
Teacher Instructions
- 1 minute: quiet think time
- 1 minute: partner discussion
- Share and record responses.
Student Task
What do you notice? What do you wonder?
Sample Response
Students may notice:
- Some of the side lengths are the same for the two figures.
- There is a blue prism and an orange prism in both figures.
- The blue prism is shorter in the figure on the left.
- The orange prism is longer in the prism on the left.
Students may wonder:
- Are they the same figure?
- What are the volumes of the figures?
Activity Synthesis (Teacher Notes)
- “Do you think the pictures show the same figure? Why or why not?” (Yes, they look the same. Yes, I can use the given side lengths to calculate that they are the same.)
Standards
- 5.MD.5.c·Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems.
- 5.MD.C.5.c·Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems.