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Build a Better Candy BagBuild Your Own Robot ArmCritical LoadWorking With Wind Energy
Activities
Corali Ferrer
Yvonne Pelham
14-15 November 2010
TISP:
Spain and PortugalSeptember 2010
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Corali FerrerR9 TISP Coordinator
Build a Better Candy Bag
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+Learning Objectives
Problem Solving: Recognize and apply geometric ideas in areas
outside of the mathematics classroomApply and adapt a variety of appropriate
strategies
Communication: Communicate mathematical thinking
coherently and clearly to peers, teachers, and others
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+Candy For Sale
Loads of Candy
Owners want a new candy bag that is attractive and more functional than the one they currently use.
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Design Objective
Design and implement a candy bag using the available materials Limit of 1 meter of tape per group of 2
The bag is to be hand carried
The bag is to be sturdy, functional and aesthetically pleasing
A design with unusual shape or “twist” is highly desirable
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Outline and Procedures (1)
Divide into teams of two (2), Agree on a name for your team
Brainstorm and create a sketch of a design of a candy bag
Build a model of your design with given materials: a limit of 1 meter of tape per team
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+Candy Bag
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Available Materials
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Outline and Procedures (2)Predict how much weight the bag might hold
Test the strength of your bagOnly after all sketches and
calculations were complete
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Outline and Procedures (3)Discuss and agree upon a redesigned
bagProvide a sketch and estimate of
weight to be carried
Answer reflection questions as a team
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Reflection Questions
What 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?
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Corali FerrerR9 TISP Coordinator
Build Your Own Robotic Arm
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+Learning Objectives
Learn about technological design
Use mathematical calculations for design
Learn about motion and force
Practice communication skills through written and oral exercises
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European Robotic Arm
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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.
Robot ArmInternational Space Station
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Large symmetrical robotic arm with 7 degrees of freedom
The 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.
Robot ArmThe European Robot Arm
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+Robot Arm
We will build a robot arm from simple materials
The arm must pick up a plastic cup from a distance of 45cm Lift the cup to a height of at least 15cm Bring the cup back to rest and release it
Pick up cup upside down
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Building the European Robotic Arm
+Robot Arm
You cannot get too close…
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You cannot get any closer than 45cm to the cup at any time
CupStudent
Robot Arm
45cm
+Robot Arm
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Available Materials
+Robot Arm
Divide into teams of two (2)
Review the requirements
Discuss a solution and create a sketch of your design
Build a model of your design with given materials
Test your model
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Outline and Procedures
+Robot Arm
Discuss and agree upon a redesign If needed after testing, or to enhance the
previous design
Answer reflection questions as a team
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Redesign after testing
+Robot Arm
1. The arm must pick up a plastic cup from a distance of 45cm
Lift the cup to a height of at least 15cm
Bring the cup back to rest and release it
2. Lift and release the cup when it is upside down
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Design requirements
+Robot Arm
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 experience
Are 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?
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Reflection Questions
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Corali FerrerR9 TISP Coordinator
Critical Load
+Learning Objectives
Learn about structural engineering
Learn how to reinforce the design of a structure to hold more weight.
Use mathematical calculations for testing
Practice communication skills through written and oral exercises
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Millau Viaduct
Millau, France
World’s Tallest Bridge
2460m long434m pylon height270m road height
December, 2004
Critical LoadGreat Structures of the World
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Skyscraper of Cards
2010 World RecordHouse of Cards
Made of 218,792 cards, measuring 10.39m long, 2.88m tall and wide. No glue or tape; just cards
Built by Bryan Berg in 2010
Critical LoadGreat Card Structures of the World
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Venetian Macao-Resort-Hotel in Macau, China, on 10 March 2010.
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Force is placed on a structure
Structure can support up to a certain force created by the weight
At a certain point, the structure will fail, breaking
The maximum force the structure can sustain before failure is known as the “Critical Load”
Critical LoadWhat is Critical Load?
Force
Force
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+Critical Load
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 load
These two parameters are combined in an “Efficiency Rating”:
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Efficiency
+Critical Load
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Groups of 2
Up to 10 cards + 1m tape
Devise a plan to build a load bearing structure Should have a flat top Support load with base area of
10x10cm at least 8 cm above the table
No altering of cards allowed – just tape!
No wrap-ups of tape Tape is used to connect cards only
Your Turn
+Critical Load
Your efficiency rating:[Load at Failure] / [# of cards used]
Predict what the rating of your design will be
Build your designTest it!Discuss improvements, then repeat
exercise for a second design
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Your Turn
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Corali FerrerR9 TISP Coordinator
Working With
Wind Energy
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+Learning Objectives
Learn about wind energy conversion
Design a wind turbine
Construct the wind turbine
Test the wind turbine
Evaluate Performance
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A Wind Turbine
The wind hits the blades…
Shaft leads to a gearbox whose output leads to a generator to make electricity
Usually has 2 or 3 blades
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WINDWIND
24 - 25 SEP 2010
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+ Many blade designs34
+Your Challenge
Design, construct and test your own wind turbine design
Lift weight – 15 cmas quickly as possible
Maximum 1 minute
No human interaction!
Blowdryer at least30cm away from turbine
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> 1ft, 30cm
+Turbine Requirements
Must have a rotor shaft around which to wind up given weight
Must be freestanding (no human interaction)
Must use only materials provided
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> 1ft, 30cm
+Test Procedure
Blowdryer at least 30 cm away from turbine
No human interaction with turbine
Attach weight around rotor
Up to 1 minute to wind up weight for 15cm
Record time to wind up weight
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> 1ft, 30cm
+Materials
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+Procedure
Teams of two (2)
Develop and sketch your design
Construct initial design
Preliminary test
Modify design, if necessary
Final test
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+Evaluate Your Design
Efficiency of design may depend onCost 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”?
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