The Arizona STEM Acceleration Project

Packaging Redesign - Performance Based Learning about Volume of Cylinders, Cones and Spheres

Packaging Redesign - Performance Based Learning about Volume of Cylinders, Cones and Spheres

Cenon Ryan Mendoza

April 2023

Notes for Teachers

-This activity can be classified as Performance Based Learning.

-Student teams take on the role of engineers as they redesign existing packaging that are already in the market. For example, a cylinder box used by Dunkin Donuts, if they would like to redesign it, how and why.

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List of Materials

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• Cardboards
• Scissors
• Pencil
• Tape
• (Any accessories that they would like to include on their proposed redesigned package)

AZ Standards

Math

8.G.C Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.

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Science and Engineering Practices

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● ask questions and define problems

● develop and use models

● plan and carry out investigations

● analyze and interpret data

● use mathematics and computational thinking

● construct explanations and design solutions

● engage in argument from evidence

● obtain, evaluate, and communicate information

Objective(s):

Today we are going to apply the formula in solving the volume of cylinders, cones and spheres.

Today we are going to redesign and create a packaging that is already used by a company in the market.

Agenda (2-3 class periods)

• Intro

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• Vocabulary

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• Hands-on Activity

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• Assessment/Conclusion

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Intro

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Students will watch the video about the relationships of the volume of three solid figures namely, cylinders, cones and spheres.

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Tell them to observe properly so they can answer the questions you’ll be giving after.

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Video

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Ask the following questions:

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1. How many cones of water were used to fill the cylinder? What does it imply?

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1. How many spheres of water were used to fill the cylinder? What does it imply?

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Vocabulary

Vocabulary

Hands-on Activity Instructions

PROCEDURES:

1. Students will be divided into groups of 2-3 members.
2. They have to choose a packaging of any store or brand that they would like to redesign.
3. Make a plan for what kind of solid figure they will use and why.
4. Ask the students to find the volume of their packaging.
5. Student teams then create a new design for the packaging that must have at least the same volume.
6. Students should sketch the design and label the dimensions as well as the volume (the design can be by hand or digital - CAD).

Assessment

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Students will work on finding the volumes of cones, cylinders and spheres.

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https://www.mathworksheets4kids.com/volume/cylinder/customary/integers-easy-1.pdf

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https://www.mathworksheets4kids.com/volume/cone/customary/integers-easy-1.pdf

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https://www.mathworksheets4kids.com/volume/sphere/customary/integers-easy-1.pdf

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Differentiation

Teacher can assign students in pairs. Give each pair a solid to work on whether it’s a sphere, cone or a cylinder and measuring materials. Instruct them to collaborate in measuring the height (except for sphere) , and the radius and apply the formula so they can find the volume.

Remediation

Extension/Enrichment

Assign students to create their own solid figures using the following materials.

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1. Cardboard/Manila paper
2. Tape

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