Name:_______________ Date:_______________

Mr. Brolsma Math

Container Project Introduction Containers are used to hold a variety of products from sugar cubes to televisions. These containers come in all sorts of sizes (volume) and must be designed within a variety of specifications. Some of these specifications include protection of the product (strength and construction), transportation and shipping (volume - the less volume per package the greater the number of products can be shipped) and, cost. The outside of the package also conveys important information such as content, weight, package volume, and other important information about the product. The purpose of this activity is to have students solve a problem, (the creation of a container), which holds 36 cubic inches of a product. The solution will be developed through mathematical and scientific concepts of area and volume. In technology class you will further design an attractive, informative exterior that will convey important information about the contents of the container in written and graphic form.

Project Problem: You work for a major design company. They have given your team (group) an assignment for a container which will hold 36 cubic inches of a product. The material of the container is up to the group, it could hold a liquid-solid-gas. Your Assignment: Your team of 3 is to: 1. Select the appropriate sizes for a container which will hold 36 cubic inches of a product. 2. Design the outside of the container to convince people to buy your product. (Package design) 3. Construct the container.

Required Work: 1. Cubic size worksheet. 2. Drawings of the container. a. Isometric/3-view drawing with dimensions (GeoGebra) b. Full pattern of your container (GeoGebra) 3. The constructed container. 4. Written evaluation of the project.

Worksheets the need to be completed

Cubic Size Worksheet The mathematical formula for volume is: Volume = Length X Width X Height The volume formula can be restated this way. Volume = Area of Base X height Volume = ______ cubic inches Answer : L _____W_____H_____

Isometric/3-view drawing with dimensions (GeoGebra) Copy and paste drawing below

Full pattern of your container (GeoGebra) Copy and paste drawing below

Self Evaluation Worksheet for the Container Project This worksheet is designed to have you (and your partner) evaluate the process used to design and to construct your container, and, the final result of your container. Fill in the following information. 1. (Your name listed first) Name: __________________________ Percentage of work done _______ Name: __________________________ Percentage of work done _______ Name: __________________________ Percentage of work done _______ 2. Using the lines below explain using complete sentences what you have learned from this project and did you like working in a group. Would you prefer to have done this project alone or in a group? What type of problems did you run into mathematically, group work, or design/production? ______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________

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Assessment Tools and Techniques Informal assessments are conducted while the students are engaged in the various components of the activity. Through individual and small group conferencing, the teacher is able to assess student comprehension and the amount of progress. The problem of designing and constructing a container that holds 36 cubic inches of material is self-evaluating. Students will be able evaluate their understanding of volume on the spreadsheet. The spreadsheet, by its design, provides instant feedback as to the results of the data entered. The drawings are to be cut out, assembled and tested for volume capacity using the one-inch cubes or 36 cubic inches of sand or rice. Using a check list and the design principles introduced during the unit, the final container will be evaluated on its ability to hold 36 cubic inches of material, and the results of the comparison between the outside design and the original specifications. The final evaluation is first done by the members of the group and then by the teacher with members of the group.

Materials Computer (GeoGebra) Graphing Calculator Internet Ruler Protractor Textbook

Standards

Geometry Strand Students will use visualization and spatial reasoning to analyze characteristics and properties of geometric shapes.

7.G.2

Calculate the volume of prisms and cylinders, using a given

7.G.3

7.G.4

formula and a calculator Identify the two-dimensional shapes that make up the faces and bases of three-dimensional shapes (prisms, cylinders, cones, and pyramids) Determine the surface area of prisms and cylinders, using a calculator and a variety of methods