Presentation on theme: "Corali Ferrer Yvonne Pelham November 2010"— Presentation transcript:
1 Corali Ferrer Yvonne Pelham 14-15 November 2010 TISP:Spain and Portugal September 2010Build a Better Candy Bag Build Your Own Robot Arm Critical Load Working With Wind Energy ActivitiesCorali FerrerYvonne Pelham14-15 November 2010
3 Learning Objectives Problem Solving: Recognize and apply geometric ideas in areas outside of the mathematics classroomApply and adapt a variety of appropriate strategiesCommunication:Communicate mathematical thinking coherently and clearly to peers, teachers, and others
4 Candy For Sale Loads of Candy Owners want a new candy bag that is attractive and more functional than the one they currently use.
5 5Design ObjectiveDesign and implement a candy bag using the available materialsLimit of 1 meter of tape per group of 2The bag is to be hand carriedThe bag is to be sturdy, functional and aesthetically pleasingA design with unusual shape or “twist” is highly desirable
6 Outline and Procedures (1) 6Divide into teams of two (2), Agree on a name for your teamBrainstorm and create a sketch of a design of a candy bagBuild a model of your design with given materials: a limit of 1 meter of tape per teamMaterial bags for teams to build…
7 Candy Bag 2 sheets of plastic Tape Twine/String Available Materials Material bags for teams to build…
8 Outline and Procedures (2) 8Outline and Procedures (2)Predict how much weight the bag might holdTest the strength of your bagOnly after all sketches and calculations were complete
9 Outline and Procedures (3) 9Outline and Procedures (3)Discuss and agree upon a redesigned bagProvide a sketch and estimate of weight to be carriedAnswer reflection questions as a team
10 Reflection Questions What was one thing you liked about your design? 10Reflection QuestionsWhat was one thing you liked about your design?What is one thing you would change about your design based on your experience?How did the materials provided impact your design?How might you incorporate this activity into your classroom instruction?
11 Corali Ferrer R9 TISP Coordinator Build Your Own Robotic ArmCorali Ferrer R9 TISP Coordinator
12 Learning Objectives Learn about technological design Use mathematical calculations for designLearn about motion and forcePractice communication skills through written and oral exercisesEuropean Robotic Arm
13 Robot Arm International Space Station Europe, through ESA, is one of the five partners (NASA, Russian Federal Space Agency, ESA, JAXA, CSA) contributing to the development of the International Space Station. The European Robot Arm (ERA) is one such contribution.ERA acts as a tool for:Installation, deployment and replacement of elements of the Russian Segment of the International Space Station,Inspection of the Russian Segment,Support/transfer of EVA cosmonauts,Transfer of Orbital Replacement Units and other assembly tasks.Main Contractor: Dutch Space (Leiden, The Netherlands), leading a consortium of manysubcontractors
14 Robot Arm The European Robot Arm Large symmetrical robotic arm with 7 degrees of freedomThe arm consists of 2 End Effectors, 2 Wrists, 2 Limbs and 1 Elbow joint together with electronics and cameras. Both ends act as either a “hand” for the robot or the base from which it can operate.
15 Robot Arm We will build a robot arm from simple materials Building the European Robotic ArmWe will build a robot arm from simple materialsThe arm must pick up a plastic cup from a distance of 45cmLift the cup to a height of at least 15cmBring the cup back to rest and release itPick up cup upside down
16 You cannot get any closer than 45cm to the cup at any time Robot ArmYou cannot get too close…Robot ArmStudentCup45cmYou cannot get any closer than 45cm to the cup at any time
17 Robot Arm Available Materials Wire Paper clips Cardboard Short pencils ClothespinsTapeIce Cream sticksPaper fastenersRubber bandsBinder clipsMaterial bags for teams to build…
18 Robot Arm Outline and Procedures Divide into teams of two (2) Review the requirementsDiscuss a solution and create a sketch of your designBuild a model of your design with given materialsTest your modelMaterial bags for teams to build…
19 Robot Arm Redesign after testing Discuss and agree upon a redesign If needed after testing, or to enhance the previous designAnswer reflection questions as a team
20 Robot Arm Design requirements The arm must pick up a plastic cup from a distance of 45cmLift the cup to a height of at least 15cmBring the cup back to rest and release itLift and release the cup when it is upside down
21 Robot Arm Reflection Questions What was one thing you liked about your design? What is its main weakness?What is one thing you would change about your design based on your experienceAre there algebraic and physical principles that can be applied to this activity?How would you modify the instructions to create a better experience for the participants?
23 Learning Objectives Learn about structural engineering Learn how to reinforce the design of a structure to hold more weight.Use mathematical calculations for testingPractice communication skills through written and oral exercises
24 Critical Load Great Structures of the World Millau Viaduct Millau, FranceWorld’s Tallest Bridge2460m long 434m pylon height 270m road heightDecember, 2004
25 Critical Load Great Card Structures of the World Skyscraper of Cards 2010 World Record House of CardsMade of 218,792 cards, measuring 10.39m long, 2.88m tall and wide. No glue or tape; just cardsBuilt by Bryan Berg in 2010Venetian Macao-Resort-Hotel in Macau, China, on 10 March 2010.
26 Critical Load What is Critical Load? Force is placed on a structure Structure can support up to a certain force created by the weightAt a certain point, the structure will fail, breakingThe maximum force the structure can sustain before failure is known as the “Critical Load”ForceForce
27 Critical Load Efficiency A high critical load is not the only parameter to considerIs the best bridge made by filling a canyon with concrete? It certainly would have a high critical load!Consider also the weight of the structureLighter is better, given the same critical loadThese two parameters are combined in an “Efficiency Rating”:
28 Critical Load Your Turn Groups of 2 Up to 10 cards + 1m tape Devise a plan to build a load bearing structureShould have a flat topSupport load with base area of 10x10cm at least 8 cm above the tableNo altering of cards allowed – just tape!No wrap-ups of tapeTape is used to connect cards only
29 Critical Load Your Turn Your efficiency rating: [Load at Failure] / [# of cards used]Predict what the rating of your design will beBuild your designTest it!Discuss improvements, then repeat exercise for a second design
35 Your Challenge Design, construct and test your own wind turbine design Lift weight – 15 cm as quickly as possibleMaximum 1 minuteNo human interaction!Blowdryer at least 30cm away from turbine> 1ft, 30cm
36 Turbine RequirementsMust have a rotor shaft around which to wind up given weightMust be freestanding (no human interaction)Must use only materials provided> 1ft, 30cm
37 Test Procedure Blowdryer at least 30 cm away from turbine No human interaction with turbineAttach weight around rotorUp to 1 minute to wind up weight for 15cmRecord time to wind up weight> 1ft, 30cm
39 Procedure Teams of two (2) Develop and sketch your design Construct initial designPreliminary testModify design, if necessaryFinal test
40 Evaluate Your Design Efficiency of design may depend on Cost of materialsSpeed (rotations per minute)Power (time to wind weight)Possible measure of efficiency:Eff. = (Cost of materials) / (time [sec] to lift weight)Are two designs that have the same rotational speed equally as “good”?