Embedded Files
Core concept: Objects that appear different may have the same volume & internal volume can be explored by packing and stacking with no gaps.
Packing and stacking Part 1 – 10 minutes
Packing and stacking Part 1 – 10 minutes
Model how the ‘long’ is made of 10 units stacked together. Copy the ‘long’ using units and ask students to count the units.
Model how the ‘long’ is made of 10 units stacked together. Copy the ‘long’ using units and ask students to count the units.
Explain to students that the stack of 10 units (or 10 ones) means that the ‘long’ has a volume of 10 as this is the amount of space it takes up.
Explain to students that the stack of 10 units (or 10 ones) means that the ‘long’ has a volume of 10 as this is the amount of space it takes up.
Explain that, with a partner, students will explore volume using MAB units. Students will use MAB units to problem solve and create as many representations as possible that have a volume of 10. Explain that the units must line up to the edges of at least one other unit.
Explain that, with a partner, students will explore volume using MAB units. Students will use MAB units to problem solve and create as many representations as possible that have a volume of 10. Explain that the units must line up to the edges of at least one other unit.
Packing and stacking Part 2 – 30 minutes
Packing and stacking Part 2 – 30 minutes
Explain that, here on Earth, people also measure and compare how much containers can hold. One way to do that is to pack containers with blocks of the same size.
Explain that, here on Earth, people also measure and compare how much containers can hold. One way to do that is to pack containers with blocks of the same size.
Display the selection of boxes available to the class. Explain that the word ‘container’ applies to these boxes, as well as to objects such as bottles, jars and tubs.
Display the selection of boxes available to the class. Explain that the word ‘container’ applies to these boxes, as well as to objects such as bottles, jars and tubs.
Model the steps for direct comparison with blocks:
Model the steps for direct comparison with blocks:
- Pack a container with no gaps or spaces.
- Select a second container.
- Transfer the blocks from container 1 to container 2.
- Share reasoning about the internal volume (capacity) of each container such as container 1 holds more blocks than container 2 because it is longer and taller.
- Model recording your results.
Display the packed boxes and ask:
Display the packed boxes and ask:
What difficulties did you encounter as you packed and layered?
What difficulties did you encounter as you packed and layered?
Can you predict which one will have the greatest internal volume?
Can you predict which one will have the greatest internal volume?
Can you see any that you think will have the same internal volume? Why?
Can you see any that you think will have the same internal volume? Why?
Why do you think having no gaps or spaces is essential?
Why do you think having no gaps or spaces is essential?
What can you do to ensure there are no gaps or spaces?
What can you do to ensure there are no gaps or spaces?
Do you think the units were a good measuring device? Why or why not?
Do you think the units were a good measuring device? Why or why not?
Consolidation and meaningful practice: Real life packing and stacking – 10 minutes
Consolidation and meaningful practice: Real life packing and stacking – 10 minutes
Ask:
Ask:
What do you see and what do you wonder?
What do you see and what do you wonder?
Have these cargo ships and/or delivery trucks been packed and stacked with no gaps? How do you know?
Have these cargo ships and/or delivery trucks been packed and stacked with no gaps? How do you know?
Can we accurately measure the internal volume of the ship or truck? Can we estimate which cargo ship and/or delivery truck has the greatest internal volume?
Can we accurately measure the internal volume of the ship or truck? Can we estimate which cargo ship and/or delivery truck has the greatest internal volume?
Are the cargo boxes and/or the objects on the delivery trucks useful shapes for packing and stacking? Why or why not?
Are the cargo boxes and/or the objects on the delivery trucks useful shapes for packing and stacking? Why or why not?
How would you pack and stack the cargo boxes and/or objects so that more can fit?
How would you pack and stack the cargo boxes and/or objects so that more can fit?
Which cargo ship and/or delivery truck has been packed and stacked using the internal volume most effectively? Explain your thinking.
Which cargo ship and/or delivery truck has been packed and stacked using the internal volume most effectively? Explain your thinking.
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