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1 Fill in the Blank Modeling and Prototypes Name: Class: Date: Fill in the blanks in these sentences with the word that fits. 1. The Design process is a systematic, iterative problem solving methodwhich produces solutions to meet human wants and desires. 2. At various intervals of the engineering design process, conceptual, physical, and mathematical models evaluate the design. 3. There are three different to represent our world: written & spoken, mathematical and graphical. 4. During design process, check for proper design to note areas of needed : conceptual, physical, and mathematical models evaluate the design solution. 5. The usefulness of can be tested by comparing predictions to observations in the real world. 6. models allow designs to quickly be checked and critiqued, so that the design may be refined and improved. 7. sketching is a design tool used to create conceptual models. 8. There are several types of technical that designers and engineers use to represent their ideas: isometric, oblique, perspective and orthographic. 9. drawings are three dimensional drawings of objects using true measurements. 10. In isometric drawings the front and side view of the object is drawn at a 30 to horizontal. 11. drawings are three dimensional drawings with the width represented as a horizontal line. 12. In Oblique drawings the view of object drawn at 45 degrees from horizontal. 13. drawings are three dimensional drawings of objects where lines converge on one or more points. 14. Perspective drawings are intended to be close to the human in observation. 15. Perspective drawings can to 1, 2, or 3 points. 16. models can be mock ups or prototypes.

2 17. A is a working model to test a design concept through observation and adjustment. 18. A up simulates the look of an object and not functional. 19. The basic idea of modeling is to find a mathematical relationship that behaves same way as objects or processes under investigation. 20. Mathematical modeling how a system might behave. 21. Engineers use the language of mathematics to express mathematical ideas. 22. create and use representations to organize, record, and communicate ideas. 23. Often symbolic to represent and explain mathematical relationships. 24. have greatly improved the power and use of mathematical models by performing long,complicated,or repetitive calculations. 25. Creating a mathemathical model step 1. Determine the you would like to achieve for the mathematical model and what data/information is available. 26. Creating a mathemathical model step 2. for other mathematical models already created you can use. 27. Creating a mathemathical model step 3. relationships among variables (may be related science concepts, such as Ohms Law). 28. Creating a mathemathical model step 4. the equation that relates variables. 29. Creating a mathemathical model step 5. the accuracy of your model against a similar system or over time. 30. Engineers and designers must understand basic of two dimensional and three dimensional objects. 31. For 2D objects, one must be able to calculate. 32. For 3D objects, one must be able to calculate and surface area. 33. These properties help determine related to function and marketability. 34. is the amount of surface of a 2D object. Formulas are: Rectangle: A = length x width; Triangle: A = base x 1/2 height; Circle: A = pi x radius squared 35. is amount of space a 3D object takes up. Formulas are; Rectangle Box- V = length x width x height; Pyramid- V = Area of Base x 1/3 Perpendicular Height; Sphere: V = cube of Diameter x.5236; Cylinder: V = Square of Diameter x Length x.7854

3 36. area, the measure of how much exposed area a 3D object has. Select your answers from the following words: algebra Technical Oblique Physical Perspective volume Engineering improvements Surface mathematical ways Identify modifications eye converge area Volume degrees models Computers properties Area prototype Engineers Conceptual precisely sketching Isometric Create mock simulates Check Research side solution output

4 Word Search Modeling and Prototypes Name: Class: Date: Try to find the hidden words. E Z I R K S C W A R E A P R O T O T Y P E C M U S Y K U R M P D Q W O V O L U M E A H O F F O C J Q T W M C H E C K P E R S P E C T I V E M D U G C L J X F Y G M I P R E C I S E L Y H G Q I P T K K D A E S R M W Y L J V Q E Q E S I D E F D S Y O P Z W I E L F O O K C W K D N L M J G I F H R P L W W C E S U Y U B M W I F G C P X V C M G M Q M C Q A S R U B Q T R O L X I F R X R A K J W I A K W L M E L R V R P H C V N L O Z I T I Z T W T C O M P U T E R S S U C K E D V O L I Q W P F H S V E C R G S D R S E T F E C E C D O F L R X E K I V S K W E F D X H D S R O M A A N O Y O U M E Z O Q S S A R E A E N G I N E E R S T A P K A T Q R B O O R Y D R B M G N C N D X B U L E N T C Q L F L S C Z S M Y A W G E T A N Z I G R M I H T Y L U I H W D N Y Q G M P S L U W A E T Y C I E T S T M Q C E C Q Z U Y T F Y Q F M B I T A N C Q U I U I U M O D E L S U A N C Y S R E E L G H E R O L I D E N T I F Y A P S D W Q A S E Y E N X F N A Q M P V D B V O L U M E E D P J A H B I T A E T Z I S E Q S J O B X N Q E U B L E T P C G C I E X K M R Y M I X Y M D D G F K E C R E A T E C S N C A G B E M V A X C O B N A L O Q L L M N S I S O M E T R I C M N N P Y C Select from the following words: properties Surface Create ways improvements sketching Research converge Volume output Isometric Area Engineering volume eye Computers Engineers Identify degrees Check side Conceptual Perspective Technical solution mock modifications prototype simulates Physical mathematical models precisely area algebra Oblique

5 Mix and Match Modeling and Prototypes Name: Class: Date: Fill in the blank with the letter next to the word that best completes the sentence. 1. The basic idea of modeling is to find a mathematical a. models relationship that behaves same way as objects or processes under investigation. 2. is the amount of surface of a 2D object. Formulas are: b. modifications Rectangle: A = length x width; Triangle: A = base x 1/2 height; Circle: A = pi x radius squared 3. Mathematical modeling how a system might behave. c. Research 4. Creating a mathemathical model step 1. Determine the you d. Engineering would like to achieve for the mathematical model and what data/information is available. 5. For 3D objects, one must be able to calculate and surface e. ways area. 6. Creating a mathemathical model step 4. the equation that f. volume relates variables. 7. sketching is a design tool used to create conceptual models. g. sketching 8. Engineers and designers must understand basic of two h. properties dimensional and three dimensional objects. 9. area, the measure of how much exposed area a 3D object i. Create has. 10. In isometric drawings the front and side view of the object is drawn at a 30 j. Oblique to horizontal. 11. Creating a mathemathical model step 3. relationships k. mock among variables (may be related science concepts, such as Ohms Law). 12. models can be mock ups or prototypes. l. algebra 13. The usefulness of can be tested by comparing predictions m. Volume to observations in the real world. 14. Perspective drawings are intended to be close to the human n. solution in observation. 15. A is a working model to test a design concept through o. degrees observation and adjustment.

6 16. The Design process is a systematic, iterative problem p. simulates solving methodwhich produces solutions to meet human wants and desires. 17. Creating a mathemathical model step 5. the accuracy of q. precisely your model against a similar system or over time. 18. Often symbolic to represent and explain mathematical r. prototype relationships. 19. During design process, check for proper design to note areas of needed s. Surface : conceptual, physical, and mathematical models evaluate the design solution. 20. drawings are three dimensional drawings with the width t. Identify represented as a horizontal line. 21. There are several types of technical that designers and u. Computers engineers use to represent their ideas: isometric, oblique, perspective and orthographic. 22. Creating a mathemathical model step 2. for other v. eye mathematical models already created you can use. 23. create and use representations to organize, record, and w. Physical communicate ideas. 24. models allow designs to quickly be checked and critiqued, x. output so that the design may be refined and improved. 25. These properties help determine related to function and y. improvements marketability. 26. For 2D objects, one must be able to calculate. z. Isometric 27. have greatly improved the power and use of mathematical aa. Engineers models by performing long,complicated,or repetitive calculations. 28. Engineers use the language of mathematics to express mathematical ab. Check ideas. 29. drawings are three dimensional drawings of objects where ac. Technical lines converge on one or more points. 30. In Oblique drawings the view of object drawn at 45 degrees ad. mathematical from horizontal. 31. is amount of space a 3D object takes up. Formulas are; Rectangle Box- V = length x width x height; Pyramid- V = Area of Base x 1/3 Perpendicular Height; Sphere: V = cube of Diameter x.5236; Cylinder: V = Square of Diameter x Length x.7854 ae. Area 32. A up simulates the look of an object and not functional. af. area

7 33. There are three different to represent our world: written & ag. Conceptual spoken, mathematical and graphical. 34. drawings are three dimensional drawings of objects using ah. side true measurements. 35. At various intervals of the engineering design process, conceptual, ai. converge physical, and mathematical models evaluate the design. 36. Perspective drawings can to 1, 2, or 3 points. aj. Perspective

8 Crossword Puzzle Modeling and Prototypes Name: Class: Date: Fill in the crossword puzzle by using the clues Across 1. drawings are three dimensional drawings of objects using true measurements. 2. A is a working model to test a design concept through observation and adjustment.

9 3. Creating a mathemathical model step 4. the equation that relates variables. 4. The basic idea of modeling is to find a mathematical relationship that behaves same way as objects or processes under investigation. 5. There are three different to represent our world: written & spoken, mathematical and graphical. 6. have greatly improved the power and use of mathematical models by performing long,complicated,or repetitive calculations. 7. Perspective drawings are intended to be close to the human in observation. 8. drawings are three dimensional drawings with the width represented as a horizontal line. 9. For 3D objects, one must be able to calculate and surface area. 10. area, the measure of how much exposed area a 3D object has. 11. There are several types of technical that designers and engineers use to represent their ideas: isometric, oblique, perspective and orthographic. 12. Mathematical modeling how a system might behave. 13. In isometric drawings the front and side view of the object is drawn at a 30 to horizontal. 14. sketching is a design tool used to create conceptual models. 15. During design process, check for proper design to note areas of needed : conceptual, physical, and mathematical models evaluate the design solution. 16. Engineers use the language of mathematics to express mathematical ideas. Down 1. For 2D objects, one must be able to calculate. 2. is the amount of surface of a 2D object. Formulas are: Rectangle: A = length x width; Triangle: A = base x 1/2 height; Circle: A = pi x radius squared 3. Perspective drawings can to 1, 2, or 3 points. 4. Creating a mathemathical model step 1. Determine the you would like to achieve for the mathematical model and what data/information is available. 5. Engineers and designers must understand basic of two dimensional and three dimensional objects. 6. drawings are three dimensional drawings of objects where lines converge on one or more points. 7. Often symbolic to represent and explain mathematical relationships. 8. Creating a mathemathical model step 3. relationships among variables (may be related science concepts, such as Ohms Law). 9. models allow designs to quickly be checked and critiqued, so that the design may be refined and improved. 10. The Design process is a systematic, iterative problem solving methodwhich produces solutions to meet human wants and desires.

10 11. These properties help determine related to function and marketability. 12. Creating a mathemathical model step 2. for other mathematical models already created you can use. 13. models can be mock ups or prototypes. 14. create and use representations to organize, record, and communicate ideas. 15. In Oblique drawings the view of object drawn at 45 degrees from horizontal. 16. The usefulness of can be tested by comparing predictions to observations in the real world. 17. is amount of space a 3D object takes up. Formulas are; Rectangle Box- V = length x width x height; Pyramid- V = Area of Base x 1/3 Perpendicular Height; Sphere: V = cube of Diameter x.5236; Cylinder: V = Square of Diameter x Length x Creating a mathemathical model step 5. the accuracy of your model against a similar system or over time. 19. At various intervals of the engineering design process, conceptual, physical, and mathematical models evaluate the design. 20. A up simulates the look of an object and not functional. Select your answers from the following words: solution Isometric Conceptual Engineers precisely ways mathematical output Perspective side Check Research Identify improvements Physical degrees eye models Area properties area prototype modifications mock Technical sketching Surface algebra volume Oblique Create Engineering Volume Computers simulates converge

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