MidSchoolMath 1

Being able to determine the dimensions of a rectangular prism or its volume by counting unit cubes is the foundation for understanding volume problems that students will encounter as they advance through Geometry. In Cubicle Dudes, Dude #1 and Dude #2 are working on figuring out the volume of a box so they can tell the printing company what to print on the packaging label. The dudes become stumped when they get two different answers. The data provided is the image of the box, along with an image of the unit cubes each dude is using.

LESSON: CUBICLE DUDESWhich dude is right?

Cubicle Dudes

5.MD.C.3a-bMeasurement & DataA cube with side length 1 unit, called a "unit cube," is said to have "one cubic unit" of volume, and can be used to measure volume.A solid figure, which can be packed without gaps or overlaps using n unit cubes, is said to have a volume of n cubic units.

The Math SimulatorTM

ImmersionPlay Cubicle Dudes Immersion video, whole-class. Restate the question: Which dude is right?Facilitate classroom discussion; ask students: "What do we need to know?"

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2 Data & ComputationPrint the Data Artifact, cut into halves, and distribute to students. Allow students work time. Ask students: "Does your answer make sense?"Consider using a sharing protocol leading to mathematical insights and/or highlighting misconceptions. Allow students to revise their work.

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Download the Detailed Lesson PlanAvailable on the Teacher Dashboard

3 ResolutionPlay Cubicle Dudes Resolution video, whole-class. Prepare and give brief lecture (Teacher Instruction).

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+ Simulation TrainerAssign the Simulation Trainer.Use protocols that encourage students to help each other.Use Progress Monitoring to access real-time data for the classroom.Provide individual help for students who are not making progress.

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(Use student headphones.)

MidSchoolMath 2Cubicle Dudes

Clicker QuizLaunch the Clicker Quiz, whole-class.

5.MD.C.3a-bMeasurement & Data

Gladys: Consider assessing (informally) student knowledge around the geometric concepts of perimeter and area, as well as on geometric vocabulary (dimensions, length, width, height, units, etc.). Students' communication will benefit throughout this standard having had such a review.

Kevin: While exploring this standard, provide students with numerous opportunities to fill objects with cubes of different sizes. Discuss the differences in the volumes (relate it to the Cubicle Dudes). Emphasize the importance of having no gaps or overlaps when using unit cubes to determine volume.

Megan: As a critical thinking opportunity, ask students to explain why "unit cubes" are best to use when filling objects to determine volume, as opposed to blocks with non-uniform side lengths or blocks that have side lengths of, say, 2 units or 3 units.

KevinSimpson

GladysGraham

MeganLeBleu

Ex. Clicker Quiz #5Standard Math Procedures

Instruction at a Glance

1 Determine how many unit cubes can fit in the bottom of the prism.

10 cubes wide and 3 cubes deep = 30 cubes on bottom

5 layers of 30 cubes = 150 cubes

C: 150 units3

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3

Determine how many layers of 30 cubes will fill the prism.

Select the option that uses correct notation for volume, which is in three dimensions.

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CUBICLE DUDESWhich dude is right?

The dudes have a new box, the volume of which they need to determine. They have agreed to use a cube with a side length of 1 inch, however they have gotten diff erent answers. This means that one of the dudes has made a mistake in his calculation.

Which dude is right?

5.MD.C.3a-b

A cube with side length 1 unit, called a “unit cube,” is said to have “one cubic unit” of volume, and can be used to measure volume.

A solid fi gure, which can be packed without gaps or overlaps using n unit cubes, is said to have a volume of n cubic units.

About this standard

Date PeriodName

MidSchoolMath Cubicle Dudes 1 of 2

Which dude is right?

Dude #1 Dude #2

Explain how you know.

APPLYING THE STANDARD

MidSchoolMath 2 of 2

Date PeriodName

How might this standard appear on a test?

Cubicle Dudes

What is the volume, in cubic units, of each fi gure?1)

What is the volume of the fi gure?2) What is the volume of the fi gure?3)

What is the volume of a cube with side lengths of 1 unit?

4)

Joaquin works at a computer store and is getting ready to ship a box full of wall adapters like the one pictured below. When the prongs are folded up, the adapter measures 1 inch, by 1 inch, by 1 inch. Joaquin has already packed some of the adapters into the box as shown below.

7)

What is the volume of a cube with side lengths of 2 units?

5) What is the volume of a cube with side lengths of 3 units?

6)

a) b) c)

How many wall adapters will fi t into the box?

Check out my worked example #2

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