Teacher: Alicia Foy and Rachel Aguero Primary Subject Area: STEM Outside Subject Area: Language Arts Class: General Science, Math Class Level: Regular, Advanced, ELL Grade Level: 5th grade PBL Title: Engineers Investigate and Design Solutions for Shoreline Erosion. Profile Sheet Student Roles: Students will work in groups of four to design a wind testable erosion limiting structure. Students will serve in one of four engineering roles throughout their research for possible solutions for this structure: Student 1 will act as lead engineer and environmental expert; Student 2 will act as construction manager to determine appropriate materials; Student 3 will act as design manager, researching possible types of structural designs in proper proportion; Student 4 will act as administrator in charge of cost and time. Even though the four students’ roles may research different aspects of the problem, all students will research possible solutions to address the problem of beach erosion. After each group has determined their best design of an erosion limiting structure, the top recommended project group will report to the Mayor of Lantana and Town Council on which erosion limiting structure would best serve the community to aid in beach erosion. Problem Situation: Students will receive a letter from the mayor of the city of Lantana asking for professional guidance and engineering design structures that will aid with beach erosion due to high winds. They are requesting relief structures to help aid with shoreline building safety and flooding. Students will also receive documents related to beach erosion from the city of Miami Beach, Florida Department of Environmental Protection, New York Department of Environmental Protection and Beachapedia in order to compare successful and less successful erosion determents of different coastal cities. They will report their findings from their investigations to the Town of Lantana Mayor/Council members. The presentation will be given at the Town meeting on May 20, 2015. A deadline of June 1st is given for the permanent structure to be built, tested and installed due to the start of Hurricane season. A budget of 250,000 dollars will be providing to the construction of the best erosion limiting structure. Resources: Web Sites: * http://www.palmbeachpost.com/news/news/local/lake-worth-juno-piers-and-lantana-beachclosed-by-/njPyG/ * http://npbc.blog.palmbeachpost.com/2014/12/11/beach-erosion-in-lantana-the-proof-is-in-thephotos/ http://www.wptv.com/news/region-c-palm-beach-county/lantana/lantana-recovering-from-beacherosion-event (video) * http://www.miamidade.gov/environment/library/reports/erosion-control-budget-10-11.pdf https://www.floridabuilding.org/bc/bc_default.aspx * http://www.dec.ny.gov/permits/67096.html * http://www.beachapedia.org/Shoreline_Structures http://www.ct.gov/deep/lib/deep/waste_management_and_disposal/debris_management/fema_eli gible_sand_replacement_on_public_beaches.pdf https://books.google.com/books?id=1Xvl7QBT0F8C&pg=PA58&lpg=PA58&dq=cost+to+repla ce+eroded+sand&source=bl&ots=a27gBndxlE&sig=kKrE8XOyjyyMjt7B58LmgFTWMDA&hl =en&sa=X&ei=2o0pVfGHJIiigwSjiYHwAg&ved=0CDMQ6AEwAw#v=onepage&q=cost%20t o%20replace%20eroded%20sand&f=false http://articles.sun-sentinel.com/2011-09-18/news/fl-muni-beach-nourishment20110917_1_breakwaters-replenishing-sand-hillsboro-beach https://www.youtube.com/watch?v=l_O7OOTKlsI&feature=youtu.be http://whyfiles.org/091beach/4.html * http://www.dep.state.fl.us/beaches/programs/becp/restore.htm * http://www.flbeacheshcp.com/ URLs with * will be printed for students to use for research. Books: The Beach Book: Science of the Shore, Carl Heywood Hobbs, August 20, 2013 Columbia University Press, ISBN 978-0-23-1160551 Online Encyclopedia: https://en.wikipedia.org/wiki/Coastal_erosion Adaptations for ELL students: Contrast and compare student native landforms with beach landforms. Develop knowledge of other country landforms with all students. Discover student prior knowledge by simple question and answer to determine if student knows if native country uses erosion limiting structures. If unknown, use this as an assigned research project to be presented visually in a power point or other visual technology piece. If known, assign research as with other students. Adaptations for ESE students: ESE students will have modifications as needed per individual. Since this is a hands-on, group activity, cooperative learning, paired writing and student tutoring would work well. Shared note taking, shorter requirements on the work charts, and reducing the difficulty of the math problems would be workable adaptations for ESE students. The teacher could also provide explicit instruction and allow orally given responses instead of filling in charts. Standards and Learning Outcomes NGSSS in Science: SC.5.E.7.3: Recognize how air temperature, barometric pressure, humidity, wind speed and direction, and precipitation determine the weather in a particular place and time. LO#1: Working in groups, students will determine the direction and average wind speed of a wind model (fan) on three different speeds scoring at least satisfactory on the report rubric. SC.5.N.1.1: Define a problem, use appropriate reference materials to support scientific understanding, plan and carry out scientific investigations of various types such as: systematic observations, experiments requiring the identification of variables, collecting and organizing data, interpreting data in charts, tables, and graphics, analyze information, make predictions, and defend conclusions. LO #2: Working in groups, students will determine the shoreline erosion problem under different wind- conditions and devise an experiment to test the strength of their erosion limiting structure scoring at least satisfactory on the report rubric. SC.5.P.13.2: Investigate and describe that the greater the force applied to it, the greater the change in motion of a given object. LO#3: After testing and measuring different wind strengths on their erosion limiting structures, students will produce a record of their results scoring at least satisfactory on the report rubric. SC.5.P.13.3: Investigate and describe that the more mass an object has, the less effect a given force will have on the object's motion. LO#4: After testing and measuring different masses on their erosion limiting structures, students will produce a record of their results scoring at least satisfactory on the report rubric. SC.5.P.13.4: Investigate and explain that when a force is applied to an object but it does not move, it is because another opposing force is being applied by something in the environment so that the forces are balanced. LO#5: Working as a whole group, students will determine which erosion structures will withstand the most force at each of the wind strengths scoring at least satisfactory on the report rubric. SC.5.N.2.1: Recognize and explain that science is grounded in empirical observations that are testable; explanation must always be linked with evidence. LO#6: Using data, students will justify their erosion limiting structure with at least 3 accurate scientific facts. SC.4.E.6.4: Describe the basic differences between physical weathering (breaking down of rock by wind, water, ice, temperature change, and plants) and erosion (movement of rock by gravity, wind, water, and ice). LO#7: Working in groups, students will compare and contrast weathering and erosion scoring at least satisfactory on the report rubric. SC.4.E.5.4: Relate that the rotation of Earth (day and night) and apparent movements of the Sun, Moon, and stars are connected. LO#8: After reviewing the A2Sci dvd segment (https://www.youtube.com/watch?v=l_O7OOTKlsI&feature=youtu.be), students will accurately diagram the movement of the moon around the earth with a coordinating tidal pull. Mathematics: MAFS.5.OA 2.3: Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule “Add 3″ and the starting number 0, and given the rule “Add 6″ and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. LO#9: After comparing wind rates to mass, students will construct a function chart with accurate data. LO#10: After comparing wind rates to volume, students will construct a function chart with accurate data. LO#11: After comparing wind rates to density, students will construct both a function chart with accurate data. MAFS.5.NF.2.5: Interpret multiplication as scaling (resizing), by: Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication. LO#12: Working in groups, students will design a model that correctly meets the requirements of a scale. English Language Arts: LAFS.5.RI 5.9: Integrate information from several texts on the same topic in order to write or speak about the subject knowledgeably. LAFS.5.W.3.9: Draw evidence from literary or informational texts to support analysis, reflection, and research. LO#13: After gathering information from print and digital sources, students will propose possible solutions to address the shoreline erosion problem scoring at least satisfactory on the rubric. STEM Areas: Science: Concepts of weather and how wind affects the earth are investigated. Gravitational pull of the Moon is reviewed. Laws of Force and Motion are incorporated throughout. Students must determine how erosion rate affects shorelines. Students must apply different levels of force to determine structural strength. Students must carry out the investigations using a control and a testing method with results based on empirical data. Technology: Students will use a table fan as a model to simulate wind. Students will use an anemometer to measure varying wind speeds in conjunction with a pan balance to measure amounts of sand that are moved to determine erosion rate. Students will video and observe models of wind and water forces applied to sand. Students will compare different erosion limiting structures they have designed to different amounts of erosion rates using video clips. Engineering: Students will design erosion limiting structures in order to reduce wind and water erosion of a shoreline model. Mathematics: Students will count and record anemometer rates for varying wind speed. Students will measure amount of sand moved by each level of wind speed. Students will record the rpm/mass ratios on a line graph in the first quadrant. Students will record the wind/erosion rate compared to the mass of the erosion limiting structure on a table and then graph in the first quadrant. Students will record the wind/erosion rate compared to the volume of the limiting structure on a chart and then graph in the first quadrant. Students will record the wind/erosion rate compared to the density of the erosion limiting structure on a chart and then graph in the first quadrant. Students will compare the different graphs and make conclusions. All students will research and provide possible solutions to the shoreline erosion problem. Meet the Problem Method Students will receive the following letter from the Mayor. Additional Meet the Problem documents may be located at the http://www.gulfcoast.edu/pbl/resources.htm site. Office of Mayor and Town Council Town of Lantana 500 Greynolds Circle Lantana, FL 33462 May 4. 2015 Engineering Group Foy Center for Beach Renewal Lantana, FL 33462 Dear Engineering Group: As you know, our great state of Florida beaches are constantly being eroded by wind and surf, especially during the windy winter months of January and February, and also during Hurricane season. The constant challenge for the town of Lantana is to keep our beaches open for use by the public, to keep our seawalls intact and to protect the foundations of the businesses, homes and condominiums. Our beaches are a great source of enjoyment for our town and also provide revenue. When they are unusable, everyone loses. In the past, we have raised revenue in order to keep supplying sand to replenish our shoreline that has been worn away by heavy winds. We have spent many dollars dredging up the washed away sand to replace it back on the beach. After multiple heavy wind storms during the past few years, our constant beach renewal is costing our town hundreds of thousands of dollars that could be spent on other town projects. We need your help. We need informed and tested ideas to help us with this constant unending problem. We would like for you to prepare a presentation with a recommendation as to how best to save our beach sand from eroding away. Please be ready to present your recommendation at our next Mayor/Council meeting at 10:00 am on May 20, 2015. Please bring a design of your top recommendations to address this problem. The town of Lantana will provide $250,000 dollars for the construction of the winning design. Please provide in your recommendation a detailed description of your plan, why it will work with quantified documentation. Please describe your model in detail providing us with facts that will support your recommendation. We plan on having an erosion evasion structure built and in place by June 1, 2015. The city of Lantana eagerly awaits your recommendation, David Stewart Mayor Town Hall Lantana, Florida Problem Statement: How can we, as engineers, minimize shore erosion in such a way that: We will meet the deadline for the presentation. We provide the Mayor and Council members with accurate data. We determine which structures provide the best protection to minimize erosion. We present the solutions in such a manner that the Mayor and Council members will understand. Know Board: 1. A constant challenge for the city of Lantana is to keep the beaches from being eroded by wind and surf. 2. Seawalls must be kept intact. 3. Beaches are a great source of revenue. 4. The cost of beach renewal uses funds that could be used for other projects. 5. Solutions are required on May 20, 2015 to the Mayor/Council meeting. 6. A solution for the design of a structure to solve shoreline erosion is required at the Mayor’s meeting. 7. By June 1, 2015, an erosion evasion structure will be located. 8. More than 485 miles, or approximately 59%, of the state’s beaches are affected by erosion. 9. One method to restore eroded beaches is through beach nourishment. 10. One strategy to ease beach erosion is through sand replenishment. Need to Know: 1. 2. 3. 4. 5. 6. 7. What environmental regulations govern beachfront and ocean construction projects? What building materials would work best? What scale size of model would be best to test? What are the effects of different wind speeds on sand? How does the tide affect sand erosion? How do we calculate wind velocity? What styles of structures withstand winds at different speeds? 8. How will mass of a structure affect durability during wind? 9. How will angle designs affect erosion outcomes of sand? 10. What is the best design that we have built that will withstand the highest wind speed? 11. How can we show empirical evidence supporting our best design? Capstone Performance Description: The Capstone Performance for the problem includes two parts. Students will be required to produce a written report and participate in an oral presentation to the Mayor/Council members. Individual students will be assessed on both of these parts using two different rubrics: a written report rubric and an oral presentation rubric. The initial capstone performance assignment is the writing composition. After the student has researched possible solutions to the design of an erosion limiting structure, the student will write a report that addresses all of the scientific and mathematical concepts of the structure. In addition, the student will provide two possible designs of structures and include at least four justifications for why he is recommending one design over the other. In their groups, students will share their individual reports with each other. As a group, they will either pick the best proposed solution or design or come up with a new solution using a combination of ideas from the individual reports. Each member must give one justification for why they believe the overall best solution to be the best. In an oral presentation to the Mayor and Council members of Lantana on June 1, 2015, the determined team of 4 students will present 2 possible structural solutions to the erosion problem. The group will cover all of the conditions presented in the problem statement in the presentation. The team will present its best solution or design that will be justified by each member of the group providing at least 1 accurate justification for the groups’ choice. Following the oral presentation, the Mayor or Council members will ask each student one question related to the design of the structure. Groups will be provided 15 minutes to present their possible solutions. Following each group’s presentation, an additional 5 minutes will be provided for a question/answer session with each student. Students will have 3 class periods of 55 minutes each to prepare for their Capstone Performances. The Mayor and Council members will be composed of a member from the Lantana Chamber of Commerce, the school’s principal, the media specialist, and two parents. The audience will be composed of all classmates and will be conducted in the classroom. The teacher will provide the invited guests with questions to ask the students. The room will be arranged with the invited guests sitting at a table on the left side of the room. This is to ensure that all of the students can see the presenters at the front of the room. Each student will be able to use the podium, the Smartboard, the Whiteboard, or other technology devices which will be located at the front of the classroom. All other students will be seated at desks, and the teacher will be seated at the back of the classroom. Any other visitors, including parents or other concerned citizens, will be in chairs lining the perimeter of the room. Student autonomy is encouraged as each student can decide which of his two individual designs that he/she will present during the oral presentation, and each student can plan his own method of delivery. Metacognition is encouraged as each student will complete a reflection questionnaire after all of the groups have presented. Sample reflection questions that may be used on the reflection questionnaire: 1. What was one obstacle that you faced during this lesson? 2. Were there any concepts from this lesson that you found confusing? If so, describe one. 3. What kinds of resources were most useful to you during this lesson? 4. What types of problem solving strategies did you use during this lesson? 5. Why do you think that it is important to have erosion limiting structures? Classroom Arrangement: Whiteboard or Smartboard Presenters Panel of Invited Guests Students’ Desks (remainder of students) Teacher Written Report Rubric Criteria Content Accuracy Superior 30 points Mathematical and scientific content are 100% accurate. Alignment to Problem Statement Required Components 20 points Each solution must align with all conditions in the Problem Statement. 45 points Report must contain each of the following: 1. log of wind strengths with 100% accuracy 2. log of mass results with 100% accuracy 3. comparison of weathering and erosion with 3 accurate scientific facts 4. a diagram of the movement of the moon around the earth with 3 accurate facts 5. a function chart that compares wind rates to mass that includes 100% accurate data 6. a function chart that compares wind rates to volume that includes 100% accurate data 7. a function chart that compares wind rates to density that includes 100% accurate data 8. each design is 100% accurately drawn to scale 9. 2 possible designs or solutions 10. 4 justifications for selecting one design or solution over the other Satisfactory 25 points Poor 5 points Mathematical and scientific content are 90-99% accurate. 15 points Mathematical and scientific content are less than 90% accurate. 5 points One solution aligns with all conditions; the other solution aligns with all but one condition. 40 points Report contains: Neither solution aligns with all of the conditions. 1. log of wind strengths with at least 80% accuracy 2. log of mass results with at least 80% accuracy 3. comparison of weathering and erosion with at least 2 accurate scientific facts 4. a diagram of the movement of the moon around the earth with 2 accurate facts 5. a function chart that compares wind rates to mass that includes at least 80% accurate data 6. a function chart that compares wind rates to volume that includes at least 80% accurate data 7. a function chart that compares wind rates to density that includes at least 80% accurate data 8. each design is at least 80% accurately drawn to scale 9. 2 possible designs or solutions 10. 4 justifications for selecting one design or 1. log of wind strengths with at less than 80% accuracy 2. log of mass results with less than 80% accuracy 3. comparison of weathering and erosion with at least 1 accurate scientific fact 4. a diagram of the movement of the moon around the earth with at least 1 accurate fact 5. a function chart that compares wind rates to mass that includes less than 80% accurate data 6. a function chart that compares wind rates to volume that includes less than 80% accurate data 7. a function chart that compares wind rates to density that includes less than 80% accurate data 8. 1 design is less than 80% accurately drawn to scale 9. At least 1 possible design or solution 20 points Report contains: Mechanics 5 points Report contains no grammatical errors (spelling, capitalization, punctuation, subject verb agreement). solution over the other 3 points Report contains 1-3 grammatical errors. Scoring Guide Superior: 90-100 points Satisfactory: 70-89 points Poor: Below 70 points 1 point Report contains more than 3 grammatical errors. Oral Presentation Rubric Criteria Delivery Comprehension and Accuracy Quality of Individual Solution Explanation Quality of Individual Justification Explanation Completion of Reflection Questionnaire Superior 30 points Maintains eye contact with audience 90% or more of the time; fluctuations in volume and inflection are intended and add to clarity of presentation; no non-purposeful movement; volume is loud enough to be heard in back of room 90% or more of the time. 15 points Student answered audience member’s question correctly, providing at least 3 accurate scientific facts 20 points Individual design or solution aligns to all conditions in group Problem Statement 25 points Reason given for advocating the group “best solution or design” is scientifically accurate and mathematically correct. 10 points Student answers all 5 reflection questions. Satisfactory 25 points Maintains eye contact with audience over 80% of the time (but less than 90%); 1-2 non-purposeful movements; volume is loud enough to be heard in the back of the room 80-89% of the time. Poor 10 points Eye contact is less than 80%; more than 2 nonpurposeful movements; inaudible in back of room more than 20% of the time. 10 points Student answered audience member’s question correctly, providing at least 2 accurate scientific facts 15 points Individual design or solution aligns with all but one condition 15 points Reason is scientifically accurate, but not be mathematically correct. 5 points Student failed to answer question correctly or could not provide a scientific fact 5 points Student answers at least 4 reflection questions. 5 points Individual solution or design fails to align with 2 or more conditions 5 points Reason is not scientifically accurate, but may or may not be mathematically correct. Score Conversion Chart Superior: 90-100 points Satisfactory: 70-89 points Poor: Below 70 points Two Alternative Solutions: Solution One: The engineers recommend developing structures to deter the wind erosion at Lantana Beach. After careful investigation of multiple manmade design structures, it was found that sand erosion was occurring less because of certain structural designs during different wind speeds. This recommendation is provided for manmade structures but not for natural structures. Pros The beach will be usable and enjoyed by people. Less erosion will cause less damage to buildings and seawalls. Lesser storms won’t cause as much erosion with new protective, wind deterring structures. Beach sand will not need to be replenished as often, resulting in less tax dollars spent. Cons Erosion will continue to be a problem. Seawalls and buildings will still be at risk for erosion caused damage City of Lantana will lose revenue due to eroded beach during a heavy storm. City of Lantana will eventually need to replenish beach sand with tax dollars. Consequences: Structures will reduce erosion on the beach. Structures will help preserve tax dollars. Structures will provide an amount of seawall and building foundation safety. Structures will be manmade raising concerns for natural beauty of beach and water safety. Solution Two: The engineers recommend developing natural structures to deter the wind erosion at Lantana Beach. After careful investigation of multiple natural design structures, it was found that sand erosion was occurring much less because of certain naturally designed structures during different wind speeds. This recommendation is provided for naturally designed structures but not for manmade structures. Pros The beach will be usable and enjoyed by people. The integrity of the natural look of the beach will be preserved. Lesser storms won’t cause as much erosion with natural wind determent. Lesser storms will cause less seawall and building damage. Cons Erosion will continue to be a problem. Seawalls and buildings will still be at risk for erosion caused damage City of Lantana will lose revenue due to eroded beach during a heavy storm City of Lantana will eventually need to replenish beach sand with tax dollars. Consequences: Structures will reduce erosion on the beach. Structures will help preserve tax dollars. Structures will provide an amount of seawall and building foundation safety. Structures will maintain natural beauty of the beach. Justification for Best Solution: Best solution: Solution Two. Beaches world-wide have erosion. Many studies suggest that the best solution is to retreat inland from the erosion, but since this is not an available option for people that reside and work on Lantana beach, Solution Two is the best choice. According to Dalrymple in the article by Beach Erosion (http://whyfiles.org/091beach/4.html) heavy rock placement along the shoreline set up in a breakwater sometimes alleviates washing away of beach sand during heavy winds. When winds erode the beach, the rocks help hold the sand so it doesn’t wash into the ocean, although sands may shift dramatically. In the article, Native Plants for Coastal Dune Restoration: What, When, and How for Florida by M.J. Williams Plant Materials Specialist USDA, NRCS Gainesville, FL (http://www.nrcs.usda.gov/Internet/FSE_DOCUMENTS/nrcs141p2_014913.pdf ) states that planting of sea grass, mangroves and sea oats along the beach allows root systems to hold sand in place when winds are high. The grasses, mangroves and sea oats are adapted to withstand high winds, heat, salt and surf. Officials report that beaches in Miami have naturally replenished since Hurricane Andrew because of natural plantings and rock placement resulting in less tax dollars spent on beach sand. Natural structures that don’t obscure the view, provide natural habitat for sea creatures and plants seems to be the most logical and less expensive answer to the erosion issue. Some manmade structures that are built to deter wind and surf erosion are successful as with the Casey Key jetty. The seawall is strong and allows for safe boating because eroded sand hasn’t caused sand bar build up requiring dredging. Other manmade structures have caused pooling of water, pollution build up, loss of habitat, along with algal blooms that choke out underwater plants and cause red tide. Those community ecosystems are compromised and lead to less use of the beach by locals and tourists causing less revenue, tourism and personal enjoyment. Debriefing Plan: All teams of engineers will make presentations to the City of Lantana government (designated teachers or other chosen leaders acting as Lantana government) in the presence of all other students to ensure that all students hear all solutions of designs. The teacher will record each team’s best solution and list the justifications for why the team’s best solution was chosen as the best. The teacher will compile a list of best solutions with justifications for student engineers to rank later. After all teams have presented and a ranking sheet has been created, all student engineers will rate each best solution providing a list in priority order (#1 is the best of the “best”). Points are assigned for each place on the list designated below. The teacher will tally the points for each solution. Points on the Ordered List Place Points Awarded 1 5 2 4 3 3 4 2 5 1 6 0 The two solutions receiving the most points will then be examined in a whole class discussion. The teacher will ask the class if there is a way to combine the two solutions to make one “even better” solution. Through a class discussion, students will reach a consensus on portions of the solutions to use. The teacher will write a bulleted list of these portions on the Whiteboard for all students to see. Essential Concepts: Each solution must incorporate accurate scientific concepts. Explanation must include how wind and erosion affects each of the following: *coastline *surf *manmade structures to reduce erosion *natural structures to reduce erosion *habitats *economy *function charts *coordinate planes *proportions In the course of the problem based learning lesson, the teacher will be rotating among the engineering teams, making sure that they are focused on the essential concepts. In the event that a concept does not get addressed, the teacher will ask questions. Coaching Questions: C=Cognitive M=Meta-cognitive E=Epistemic Type of Question Meet the Problem Question C M E Know/Need to Know Board What is the student role in this problem? What do you already know about beach erosion? How realistic is this problem? C M E What is beach erosion? How do you know wind is eroding the beach? Do all of the questions need to be answered on the need to know board in order to find a solution? Problem Statement C M E What types of structures do other cities with beach erosion problems build? How do you know that certain structures are successful? Do you need to know more? What are the common factors in many beach erosion situations? Research C M E What types of calculations does the group need to do for this problem? What terms can you think of that might be helpful in doing a “Google” search for this problem? What different types of resources could be helpful in solving this problem? Generating Possible Solutions C M E What scientific evidence do you have to back up this solution? Why do you think that Solution 2 is better than Solution 1? Do you think this solution would work in the real world?