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Modeling and Prototypes Presentation 4.4.1 Explanation
© 2011 International Technology and Engineering Educators Association, STEMCenter for Teaching and Learning™ Foundations of Technology ©International Technology Education Association Center to Advance the Teaching of Technology & Science Engineering byDesign™
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The Unit Big Idea The Engineering Design process is a systematic, iterative problem solving method which produces solutions to meet human wants and desires. © 2011 International Technology and Engineering Educators Association, STEMCenter for Teaching and Learning™ Foundations of Technology ©International Technology Education Association Center to Advance the Teaching of Technology & Science Engineering byDesign™
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The Lesson Big Idea At various intervals of the engineering design process, conceptual, physical, and mathematical models evaluate the design solution. © 2011 International Technology and Engineering Educators Association, STEMCenter for Teaching and Learning™ Foundations of Technology ©International Technology Education Association Center to Advance the Teaching of Technology & Science Engineering byDesign™
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Modeling As learned in the engagement there are three different ways to represent our world Written & Spoken Mathematical Graphical © 2011 International Technology and Engineering Educators Association, STEMCenter for Teaching and Learning™ Foundations of Technology ©International Technology Education Association Center to Advance the Teaching of Technology & Science Engineering byDesign™
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Modeling During design process, check for proper design to note areas of needed improvements Conceptual, physical, and mathematical models evaluate the design solution Usefulness of models can be tested by comparing predictions to observations in the real world © 2011 International Technology and Engineering Educators Association, STEMCenter for Teaching and Learning™ Foundations of Technology ©International Technology Education Association Center to Advance the Teaching of Technology & Science Engineering byDesign™
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Conceptual Models Conceptual models Technical sketching is a
Allow designs to quickly be checked and critiqued Design may be refined and improved. Technical sketching is a design tool used to create conceptual models © 2011 International Technology and Engineering Educators Association, STEMCenter for Teaching and Learning™ Foundations of Technology ©International Technology Education Association Center to Advance the Teaching of Technology & Science Engineering byDesign™
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Conceptual Models Several types of technical sketching Isometric
Oblique Perspective Orthographic (note: already discussed in exploration) © 2011 International Technology and Engineering Educators Association, STEMCenter for Teaching and Learning™ Foundations of Technology ©International Technology Education Association Center to Advance the Teaching of Technology & Science Engineering byDesign™
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Isometric 3D drawings of objects using true measurements
Front & side drawn at a 30o to horizontal For more info, search for “isometric drawing” © 2011 International Technology and Engineering Educators Association, STEMCenter for Teaching and Learning™ Foundations of Technology ©International Technology Education Association Center to Advance the Teaching of Technology & Science Engineering byDesign™
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Oblique Drawings 3D drawings with the width represented as a horizontal line. Side view of object drawn at 45o from horizontal For more info, search for “oblique drawing” 45˚ © 2011 International Technology and Engineering Educators Association, STEMCenter for Teaching and Learning™ Foundations of Technology ©International Technology Education Association Center to Advance the Teaching of Technology & Science Engineering byDesign™
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Perspective 3D drawings of objects where lines converge on one or more points. Intended to be close to the human eye in observation. Can be 1, 2, or 3 point. For more info, search for “perspective drawing” © 2011 International Technology and Engineering Educators Association, STEMCenter for Teaching and Learning™ Foundations of Technology ©International Technology Education Association Center to Advance the Teaching of Technology & Science Engineering byDesign™
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Physical Models Mock ups or prototypes.
Prototype is a working model to test a design concept through observation and adjustment Mock up simulates the look of an object and not functional. © 2011 International Technology and Engineering Educators Association, STEMCenter for Teaching and Learning™ Foundations of Technology ©International Technology Education Association Center to Advance the Teaching of Technology & Science Engineering byDesign™
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Mathematical Models Find a mathematical relationship that behaves same way as objects or processes under investigation Mathematical modeling simulates how a system might behave. Express mathematical ideas precisely © 2011 International Technology and Engineering Educators Association, STEMCenter for Teaching and Learning™ Foundations of Technology ©International Technology Education Association Center to Advance the Teaching of Technology & Science Engineering byDesign™
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Mathematical Models Create representations to organize, record, and communicate ideas Symbolic algebra to represent and explain mathematical relationships Computers improved power and use of mathematical models by performing long, complicated, or repetitive calculations © 2011 International Technology and Engineering Educators Association, STEMCenter for Teaching and Learning™ Foundations of Technology ©International Technology Education Association Center to Advance the Teaching of Technology & Science Engineering byDesign™
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Mathematical Modeling
Example of Mathematical Modeling Designer wants to create hot air balloon designs without creating physical models Algebraic formulas represents increases or decreases of lift based on inside volume or temperature Calculations are communicated on spreadsheets or computer based simulations © 2011 International Technology and Engineering Educators Association, STEMCenter for Teaching and Learning™ Foundations of Technology ©International Technology Education Association Center to Advance the Teaching of Technology & Science Engineering byDesign™
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Creating a Mathematical Model Determine
Output you would like to achieve for the mathematical model What data/information is available Research for other mathematical models already created you can use. © 2011 International Technology and Engineering Educators Association, STEMCenter for Teaching and Learning™ Foundations of Technology ©International Technology Education Association Center to Advance the Teaching of Technology & Science Engineering byDesign™
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Creating a Mathematical Model
Identify relationships among variables (science concepts, such as Ohm’s Law) Create equation that relates variables Check accuracy of model against a similar system or over time © 2011 International Technology and Engineering Educators Association, STEMCenter for Teaching and Learning™ Foundations of Technology ©International Technology Education Association Center to Advance the Teaching of Technology & Science Engineering byDesign™
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Properties of 2 & 3 Dimensional Objects
Engineers and designers must understand basic properties of 2D & 3D objects 2D objects, must be able to calculate area 3D objects, must be able to calculate volume and surface area Properties help determine modifications related to function and marketability © 2011 International Technology and Engineering Educators Association, STEMCenter for Teaching and Learning™ Foundations of Technology ©International Technology Education Association Center to Advance the Teaching of Technology & Science Engineering byDesign™
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Calculating Area Area is the amount of surface of a 2D object. Formulas are below. Rectangle: A = length x width Triangle: A = base x ½ (height) Circle: A = ∏ x radius 2 © 2011 International Technology and Engineering Educators Association, STEMCenter for Teaching and Learning™ Foundations of Technology ©International Technology Education Association Center to Advance the Teaching of Technology & Science Engineering byDesign™
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Calculating Volume Volume is amount of space a 3D object takes up. Formulas below. Rectangle Box: V = length x width x height Pyramid: V = Area of Base x 1/3 Perpendicular Height Sphere: V = Diameter3 x .5236 Cylinder: V = Diameter2 x Length x .7854 © 2011 International Technology and Engineering Educators Association, STEMCenter for Teaching and Learning™ Foundations of Technology ©International Technology Education Association Center to Advance the Teaching of Technology & Science Engineering byDesign™
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Calculating Surface Area
Surface area, the measure of how much exposed area a 3D object has. Formulas below Rectangle Box: SA = (H x W x 2) (H x D x 2) (D x W x 2) Pyramid: SA = (Perimeter of Base x ½ Slant Height) + (area of base) Sphere: SA = Diameter2 x Cylinder: SA= (Diameter x Length of curved surface x ) + (area of bottom + area of top) © 2011 International Technology and Engineering Educators Association, STEMCenter for Teaching and Learning™ Foundations of Technology ©International Technology Education Association Center to Advance the Teaching of Technology & Science Engineering byDesign™
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All Models Important that they function as close to the real world as possible They must be continually checked and refined during the design process. More than one of the three types is often used for the same product © 2011 International Technology and Engineering Educators Association, STEMCenter for Teaching and Learning™ Foundations of Technology ©International Technology Education Association Center to Advance the Teaching of Technology & Science Engineering byDesign™
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