ACS (Real world applications; career connections; societal impact)
A – Students will understanding that consumers are a driving force behind the packaging of products.
C – Product design engineer creates the initial blueprints and schematics for various structures, systems, machines, or equipment involved in producing a product. Industrial engineer determines the most effective ways to use machines, people, and energy to make products. Environmental engineer to provide input on total environmental impact of producing the product. Mechanical engineer is involved in managing the equipment that is used to produce the product. Graphic designer works with the clients to determine the budget, concept, graphics and layout for product illustrations.
S – Cereal is the most popular breakfast food.
Students will be presented with a problem that will require the use of the engineering design process. They will explore the surface area and volume of various cereal boxes. They will then be challenged to create a more environmentally friendly box design while holding the same amount of cereal. Students will brainstorm possible solutions for the challenge, prototype a solution, test and evaluate the effectiveness of the prototype. The evaluation will determine if the prototype needs to be modified and tested again. Students will continue modifying their designs as needed until the best solution has been found for the problem.
Unit Academic Standards
Measurement Grade 7 Indicator 4:
- Solve problems involving proportional relationships and scale factors; e.g., scale models that require unit conversions within the same measurement system.
Measurement Grade 7 Indicator 5:
- Analyze problem situations involving measurement concepts, select appropriate strategies, and use an organized approach to solve narrative and increasingly complex problems.
Measurement Grade 7 Indicator 8:
- Understand the difference between surface area and volume and demonstrate that two objects may have the same surface area, but different volumes or may have the same volume, but different surface areas.
Measurement Grade 7 Indicator 9:
- Describe what happens to the surface area and volume of a three-dimensional object when the measurements of the object are changed; e.g., length of sides are doubled.
7.G.6 Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
8.G.9 Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.
Pre and Post Assessment (Net, Surface Area, and Volume)
Students will test the volume of their redesigned cereal box.
Post Test: Nets, Surface Area and Volume.
How to Make This a Hierarchical Unit
This is a Middle School Unit. This lesson could be modified for high school by expanding on the number of cereal boxes the students are required to redesign. Students could also be challenged to make a box with the smallest surface area possible and still hold the same volume of cereal.