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Transformation 2013 Design Challenge 5E Lesson
Title: Authored by: Additional content and revisions by: Subject: Grade Level: Challenge Abstract:
Salt Package Design Alicia Sarvis Transformation 2013 Geometry High School In this Design Challenge, students will take on the role of package design specialists who are enlisted to develop a cost-effective packaging for salt. The students will develop a 3D prototype built around specified parameters and the package will be put through a series of tests.
Meeting the Needs of STEM Education through Design Challenge
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Design Challenge Title: Salt Package Design TEKS addressed: G.6.B – Students analyze relationships between three-dimensional geometric figures and related two dimensional representations and uses the representations to solve problems. Students use nets to represent and construct 3D geometric figures. G.8.D – Students use tools to measure and find perimeter, area, and volume in problem situations. Students find surface areas and volumes of prisms, pyramids, spheres, cones, cylinders, and composites of these figures in problem situations.
Engage Activity Approximate time: On the day that you are planning to do the engage activity, bring in several salt containers of varying shapes. Consider including packages that are cylindrical, rectangular prisms, small paper packets, bags, etc. Pass the packages around the classroom and ask the students the following probing questions…have them record their thoughts in their journals: 1. How are these packages similar? 2. How are these packages different? 3. What are the pros and cons for each type of packaging? (You might consider guiding students who are struggling with this question by suggesting that they consider structure, functionality, shelf presentation, etc.) 4. Now that you’ve had an opportunity to analyze the various packages, jot down your thoughts regarding how math is used in the creation of the containers. Regarding the questions above, debrief the students and consider adding in your own ideas. Clear up any misconceptions and highlight the math concepts that will be solidified by the completion of the challenge Present the students with the design challenge: You are “Packaging Design Specialist” working for Morton Salt Company. You must develop cost effective packaging for salt. While designing your package you need to consider volume and surface area. The container must hold a minimum volume of 50 in.3 of salt and must have a minimum surface area of 100 in.2. You also need to consider that you will be charged $0.02 per fold, $0.05 per cut, and $0.07 per seam for assembly charges. The company is offering a $10,000 bonus to each individual on the team that creates the most cost effective package. Good Luck!
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Engage Activity Products/Artifacts
Journal entry
Materials/Equipment: – Journal – Pencil – Various types of salt packaging/containers Resources: None
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Explore Activity 1 Approximate time: Students will work in teams of two. Provide each pair of students; five sheets of “9 X 12” construction paper, a pair of scissors, tape, and a ruler or tape measure. Have the students create a minimum of three container prototypes using only the materials that you have provided them. Once the students have completed their three designs, provide them with five additional pieces of construction paper and ask them to create nets of each design to scale. (The students will be asked to demonstrate the fold of the nets to the class, so they must make certain that their nets are created correctly.)
Explore I Activity Products/Artifacts
Materials/Equipment: – 9X12 construction paper – Scissors, – Tape – Ruler or tape measure
Resources: None
Minimum of 3 prototypes, minimum of 3 nets made to scale
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Explain Activity Approximate time: Have the students share their finished prototypes with the class by displaying them at the front of the classroom. Give all of the students an opportunity to review the products and have them write in their journals about the similarities and differences that they see. Ask them to make notes regarding the most unique prototypes and the most popular designs. Have the students make predictions regarding the most cost effective container, the container that has the greatest surface area, and the container that has the greatest volume. Lead the students in a discussion regarding surface area and volume of 3-D figures. Introduce the TAKS Formula Chart into the discussion, paying close attention to the components of each formula. Provide the students with examples of nets (either use the chalk/dry erase board, overhead, or PowerPoint slides) that have labeled dimensions and ask them to use their formulas to calculate the volumes and surface areas of each net. Ask the students how they can use their nets to calculate the volume and surface area for each of their prototypes. Have each of the pairs introduce their prototypes and demonstrate the folding of their nets. Explain Activity Products/Artifacts
Journal entries, notes regarding formulas and application of formulas as led by instructor
Materials/Equipment: – Journals, pencils – TAKS Formula Charts – Teacher examples Resources: TAKS Formula Chart for each student http://www.tea.state.tx.us/student.assessment/taks/math/Grade_9_10_11XL_Math_Chart.pdf
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Elaborate Activity Approximate time: Have the students return to their partners and provide each pair of students with 3 sheets of 9X12 card stock, several sheets of construction paper, flexible cardboard, craft foam sheets, a pair of scissors, tape, glue, hot glue gun, brads, a ruler or tape measure, a calculator, and a formula chart. Have the students create a final prototype using only the materials that you have provided them. Remind them that they must adhere to the constraints of the design challenge. ***Make sure that the students leave an opening so that their product can be filled with salt, as it will be put through a series of tests in the Evaluation Activity.*** Ask the students to design a label for their product to be used as part of their marketing plan. Once the students have completed their design, provide them with 3 additional pieces of construction paper and ask them to create a net of their final design to scale. Provide the students with a data collection and cost-breakdown sheet (see attachments) and have them completely fill in the charts for each prototype…including the three original designs from the Explore Activity. Ask the students to write in their journal their reasoning behind choosing the design they did and have them begin to brainstorm a marketing plan for their product. Elaborate Activity Products/Artifacts
Final prototype, net of final prototype, data collection and cost-breakdown sheet, journal entry
Materials/Equipment: – 9X12 construction paper – 9X12 card stock – Flexible cardboard – Foam craft sheets – Scissors, tape – Glue – Hot glue gun – Brads – Ruler or tape measure – Data collection and cost-breakdown sheet – Journal Resources: None
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Evaluate Approximate time: The students will put their final prototype through a series of tests to determine the feasibility of their product. Place ¼ cup of salt in each prototype and have the students seal their containers. Ask the students to lift their container, roll their container, and shake their container. Once they have completed all three tests, have the students measure the amount of salt they have left and document the results of their product testing on the data collection sheet. Have the students work with their partner to create a PowerPoint Presentation with a minimum of 5 slides that provides the following information: 1. Project Title/Design Challenge and Student Names 2. Picture of their final prototype 3. Net of their final prototype with dimensions noted 4. Completed Data Collection Sheet with results of product testing (lift, roll, and shake tests) 5. Cost-Breakdown 6. Suggested modifications Ask the students to write in their journal a reflection concerning the project. Have them identify three things that they learned during the course of the project. Also, have them reflect on the predictions that they made at the beginning of the Explain portion of the lesson cycle.
Evaluate Activity Products/Artifacts
PowerPoint Presentation, Data Collection and Cost-Breakdown Sheet, Final Prototype with Net
Materials/Equipment: – Salt, measuring cup – Computer – PowerPoint – Data Collection and Cost-Breakdown Sheet – Journal Resources: None