Task Teacher Guide
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In This Purposeful Practice…
Students will continue visualizing and drawing the top front and side view of rectangular prisms. They will explore the relationship between the area of the base and the height of the prism, and the total volume in cubic units.
Intentionality…
The purpose of the Day 4 activities is to reinforce key concepts from Days 1, 2 and 3. Students will engage in a string of related problems through a math talk and will have an opportunity to complete independent purposeful practice.
The math talk and purposeful practice serve to develop a deeper understanding of the following big ideas:
- Volume and capacity can be measured using non-standard and standard units;
- A rectangular prism has three views. It can be viewed from the top, front and side. Each of these three faces are two dimensional, with a length and a width;
- A rectangular prism has three dimensions, which can be described using three linear measurements; the length, the width and the height;
- The measurements of length, width, and height are used to determine volume;
- Volume can be determined by multiplying the area of the base by the height of the prism;
- Volume is related to the operations of multiplication and addition;
- A solid figure which can be packed without gaps or overlaps using a quantity of unit cubes is said to have a volume of that same quantity of cubic units.
Math Talk
Related String of Problems
Share each total volume of a rectangular prism one at a time. Encourage students to determine the prism made of linking cubes that could have this total volume. Draw the top, front, and side view. Label the dimensions.
10 cubes
20 cubes
40 cubes
32 cubes
Purposeful Practice
While Students Are Practicing…
Students will have an opportunity to independently complete practice to reinforce concepts related to volume without the use of a calculator.
As students are working, you might consider using this opportunity to pose purposeful questions and document student thinking for the purpose of formative assessment.
Pay close attention to the strategies that students are using.
Are students:
- Using linking cubes.
- Using a pictorial representation and drawing the boxes.
- Using a 3D array.
- Using a formula or numeric representation.
- Using addition.
- Using skip-counting.
- Using multiplication.
While students are working independently, you might also consider strategically pulling students individually or in small groups to offer guided instruction in order to move them along their developmental continuum.
Questions: Volume of a Rectangular Prism
Question #1:
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Question #2:
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Question #3:
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Question #4:
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We suggest collecting this reflection as an additional opportunity to engage in the formative assessment process to inform next steps for individual students as well as how the whole class will proceed.
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Explore The Entire Unit of Study
This Make Math Moments Task was designed to spark curiosity for a multi-day unit of study with built in purposeful practice, and extensions to elicit and emerge mathematical models and strategies.
Click the links at the top of this task to head to the other related lessons created for this unit of study.
What are the dimensions…
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…
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1. Consider the rectangular prisms…
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2. Consider the rectangular prisms…
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3. Greg the Grocer…
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4. Greg is creating…
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Download Editable/Printable Handout
Become a member to access purposeful practice to display via your projector/TV, download the PDF to upload to your LMS and/or print for students to have a physical copy