Cereal Geometry

1. Cereal Geometry A Common Core Unit of Study

2. Daily Health EnterprisesNew Products Division • The company is branching out into cereal products. Due to your excellent track record marketing Go-Go Granola Bars, your team has been selected to compete in this project. • The winning teams will receive a free trip to London, England when the cereal will be released to consumers.

3. Daily Health EnterprisesNew Products Division • For your presentation to the Vice President of the New Products Division, you will need to: • Explain your box shape, flat printing representation (net), all measurements, capacity, and design, as well as the shape of your cereal and how many servings will fit into your cereal container. • Estimate the volume of a cereal box using your cereal piece or cereal design. Describe what strategies you would use and how. Be sure to include how a net would help you.

4. Task 1: Discovering Nets and Data Gathering • In your marketing team, you are researching the best way to package your new cereal. Explore boxes in which everyday items are contained. Bring in a clean small box from home to represent rectangular prisms and use them with your team (and other teams) to make nets to recreate the solid figures they represent. • Create a chart comparing different figures, surface areas and volumes

5. Task 1: Discovering Nets and Data Gathering Product to Create • Make a chart of at least 6 different boxes from different people. • Label the chart for box description, height, length, and depth. The nets must be useable, have all edges measured correctly. • Label surface area and volume. Must use unit cubes and measurements to identify volume. Must use measurements to identify surface area. • Complete your chart to demonstrate your understanding of nets, volume, and surface area. Must write an explanation of the relationship between two boxes with different measures, but have the same surface area. • Bonus: Determine how to use measurements of circular or alternate shaped containers to find surface area and volume. • Work in groups of four (your marketing team).

6. Task 2:Cereal Box • Your marketing team can hear Big Ben and you are so close to winning that trip to London. Using your knowledge of nets and volume, begin designing your ideal cereal package for your new product. The cereal box must accommodate a volume of 400 cubic inches. Your printing department will need all the dimensions and volume in order to print your cereal container.

7. Task 2:Cereal Box Product to Create • Create a new cereal box, determine dimensions needed to construct a box/net that has 400 cubic inches. • Identify dimensions for the net • Create a net from your dimensions • Build the cereal box from your net • Explain each step and all calculations used to create a cereal box with a 400 cubic inch capacity • To “out-do” the other teams build other boxes using different dimensions, but with the same capacity.

8. Task 3:Cereal Piece • Design a cereal piece that will fill the box from Task #2. The product division of your company needs to adjust their cereal making machines to place the correct amount of your cereal into each box. Your team needs to determine which geometric solid figure best represents your final cereal piece. You need to calculate how much cereal based on your chosen solid will fit best in your cereal box.

9. Task 3:Cereal Piece Product to Create • Create three prism nets • Triangular prism: 1 cm each side • Cube: 1 cm each side • Rectangular prism 1 x 2 x 1 cm • Written steps estimating how many of each solid (cereal piece) would fit into the volume of the cereal box from Task #2 • Accurately calculate the volume of each cereal piece • Determine the number of each piece that will fit into the cereal box. • Determine the best shape and your reasoning behind your choice. • Create and justify alternate cereal shapes.

10. Task 4:Cereal Box Design • Create a cereal box with appealing artwork that meets the specifications of the company. All their container designs must include geometric shapes in their designs

11. Task 4:Cereal Box Design Product to Create • As you create your cereal box design, you must include at least four of the following geometric figures. Box demonstrates correct division of rectangles into polygons. • 1 right triangle • 1 equilateral triangle • 1 trapezoid • 1 octagon • 1 pentagon

12. Task 4:Cereal Box Design Product to Create • Determine the area of each shape so the printers will know how much ink and which ink colors will be used on the box. • Accurately determine area of all shapes to be included. • Explain how shapes can be divided and related back to a rectangle inch capacity • Explain and demonstrate the triangle formula and formulas of other polygons. • Explain and demonstrate the volume formula for rectangular prisms and other figures. • Work with your group of four (marketing team).

13. Task 5:Final Proposal • It is finally the big day, your team will present your product, you need to impress the New Products Division Manager for Daily Health Enterprises.

14. Task 5:Final Proposal Product to Create • You must present a colorful cereal box and pieces of cereal (the ones you created in Tasks 3 & 4). • You must present your information in an informative and interesting manner. • You must use charts, posters, display boards, scrapbook, journal, and/or power point to illustrate your points, show you work, and explain your reasoning for each task along the way. • Everything must look professional and ready to impress!