Fill in the Blank Modeling and Prototypes. Name: Class: Date:
|
|
- Agnes Porter
- 5 years ago
- Views:
Transcription
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
Modeling and Prototypes
Modeling and Prototypes 4.4.1 Unit 4, Lesson 4 Explanation The Unit Big Idea The Engineering Design process is a systematic, iterative problem solving method which produces solutions to meet human wants
More informationNets and Drawings for Visualizing Geometry. Unit 1 Lesson 1
Nets and Drawings for Visualizing Geometry Unit 1 Lesson 1 Students will be able to: Represent three-dimensional figures using nets. Make isometric and orthographic drawings. Key Vocabulary: Net Isometric
More informationMeasurement 1 PYTHAGOREAN THEOREM. The area of the square on the hypotenuse of a right triangle is equal to the sum of the areas of
Measurement 1 PYTHAGOREAN THEOREM Remember the Pythagorean Theorem: The area of the square on the hypotenuse of a right triangle is equal to the sum of the areas of the squares on the other two sides.
More informationVocabulary. Term Page Definition Clarifying Example. cone. cube. cylinder. edge of a threedimensional. figure. face of a polyhedron.
CHAPTER 10 Vocabulary The table contains important vocabulary terms from Chapter 10. As you work through the chapter, fill in the page number, definition, and a clarifying example. cone Term Page Definition
More informationPRACTICAL GEOMETRY SYMMETRY AND VISUALISING SOLID SHAPES
UNIT 12 PRACTICAL GEOMETRY SYMMETRY AND VISUALISING SOLID SHAPES (A) Main Concepts and Results Let a line l and a point P not lying on it be given. By using properties of a transversal and parallel lines,
More informationseen something like it many times when playing video games.
Cakes and Pancakes Translating and Stacking Two-Dimensional Figures.2 Learning Goals In this lesson, you will: Apply translations to two-dimensional plane figures to create three-dimensional solids. Describe
More informationLet a line l and a point P not lying on it be given. By using properties of a transversal and parallel lines, a line which passes through the point P
Let a line l and a point P not lying on it be given. By using properties of a transversal and parallel lines, a line which passes through the point P and parallel to l, can be drawn. A triangle can be
More informationGeometry Workbook WALCH PUBLISHING
Geometry Workbook WALCH PUBLISHING Table of Contents To the Student..............................vii Unit 1: Lines and Triangles Activity 1 Dimensions............................. 1 Activity 2 Parallel
More informationMathematics Background
Measurement All measurements are approximations. In their work in this Unit, students explore ways to find measures for two and three dimensional figures. Even using exact formulas depends on how students
More informationThe figures below are all prisms. The bases of these prisms are shaded, and the height (altitude) of each prism marked by a dashed line:
Prisms Most of the solids you ll see on the Math IIC test are prisms or variations on prisms. A prism is defined as a geometric solid with two congruent bases that lie in parallel planes. You can create
More informationAnswer Key: Three-Dimensional Cross Sections
Geometry A Unit Answer Key: Three-Dimensional Cross Sections Name Date Objectives In this lesson, you will: visualize three-dimensional objects from different perspectives be able to create a projection
More informationGeometry B. The University of Texas at Austin Continuing & Innovative Education K 16 Education Center 1
Geometry B Credit By Exam This Credit By Exam can help you prepare for the exam by giving you an idea of what you need to study, review, and learn. To succeed, you should be thoroughly familiar with the
More informationChapter 1: Symmetry and Surface Area
Chapter 1: Symmetry and Surface Area Name: Section 1.1: Line Symmetry Line of symmetry(or reflection): divides a shape or design into two parts. Can be found using: A mirra Folding Counting on a grid Section
More informationGeometry--Unit 10 Study Guide
Class: Date: Geometry--Unit 10 Study Guide Determine whether each statement is true or false. If false, give a counterexample. 1. Two different great circles will intersect in exactly one point. A) True
More informationBMGM-2 BMGM-3 BMGM-1 BMGM-7 BMGM-6 BMGM-5 BMGM-8 BMGM-9 BMGM-10 BMGM-11 DXGM-7 DXGM-23 BMGM-12 BMGM-13 BMGM-14 BMGM-15 BMGM-16 DXGM-9
Objective Code Advance BMGM-2 BMGM-3 BMGM-1 BMGM-7 BMGM-6 BMGM-5 BMGM-8 BMGM-9 BMGM-10 BMGM-11 DXGM-7 DXGM-8 BMGM-12 BMGM-13 BMGM-14 BMGM-15 BMGM-16 DXGM-9 DXGM-10 DXGM-11 DXGM-15 DXGM-17 DXGM-16 DXGM-18
More informationDate Lesson Text TOPIC Homework. SA of Prisms & Pyramids Pg. 441 # 1, 3, 5a, 7b, 11bc, 16. Surface Area of Cylinders WS 6.6
UNIT 6 MEASUREMENT Date Lesson Text TOPIC Homework May 6.1 8.1 May 4 6. 8. The Pythagorean Theorem Pg. 4 # 1ac, ac, ab, 4ac, 5, 7, 8, 10 Perimeter and Area (NO CIRCLES) Pg. 4 # 1acde, abdf,, 4, 11, 14,
More informationGrade 6 Mathematics Item Specifications Florida Standards Assessments
Content Standard MAFS.6.G Geometry MAFS.6.G.1 Solve real-world and mathematical problems involving area, surface area, and volume. Assessment Limits Calculator s Context A shape is shown. MAFS.6.G.1.1
More informationLesson 10T ~ Three-Dimensional Figures
Lesson 10T ~ Three-Dimensional Figures Name Period Date Use the table of names at the right to name each solid. 1. 2. Names of Solids 3. 4. 4 cm 4 cm Cone Cylinder Hexagonal prism Pentagonal pyramid Rectangular
More informationSolve 3-D problems using Pythagoras theorem and trigonometric ratios (A*) Solve more complex 2-D problems using Pythagoras theorem & trigonometry (A)
Moving from A to A* Solve 3-D problems using Pythagoras theorem and trigonometric ratios (A*) A* Use the sine & cosine rules to solve more complex problems involving non right-angled triangles (A*) Find
More informationPrecalculus, Quarter 2, Unit 2.1. Trigonometry Graphs. Overview
13 Precalculus, Quarter 2, Unit 2.1 Trigonometry Graphs Overview Number of instructional days: 12 (1 day = 45 minutes) Content to be learned Convert between radian and degree measure. Determine the usefulness
More informationDRAFT CHAPTER. Surface Area GET READY. xxx. Math Link. 5.1 Warm Up xxx. 5.1 Views of Three-Dimensional Objects xxx. 5.
CHAPTER 5 Surface Area GET READY Math Link xxx xxx 5.1 Warm Up xxx 5.1 Views of Three-Dimensional Objects xxx 5.2 Warm Up xxx 5.2 Nets of Three-Dimensional Objects xxx 5.3 Warm Up xxx 5.3 Surface Area
More informationThe radius for a regular polygon is the same as the radius of the circumscribed circle.
Perimeter and Area The perimeter and area of geometric shapes are basic properties that we need to know. The more complex a shape is, the more complex the process can be in finding its perimeter and area.
More informationTIPS4Math Grades 4 to 6 Overview Grade 4 Grade 5 Grade 6 Collect, Organize, and Display Primary Data (4+ days)
Collect, Organize, and Display Primary Data (4+ days) Collect, Organize, Display and Interpret Categorical Data (5+ days) 4m88 Collect data by conducting a survey or an experiment to do with the 4m89 Collect
More informationUnit #13 : Integration to Find Areas and Volumes, Volumes of Revolution
Unit #13 : Integration to Find Areas and Volumes, Volumes of Revolution Goals: Beabletoapplyaslicingapproachtoconstructintegralsforareasandvolumes. Be able to visualize surfaces generated by rotating functions
More informationFind the surface area of the tent model. Round to the nearest tenth if necessary.
Use isometric dot paper and the orthographic drawings to sketch the solid. left view: The figure is 3 units high in the 1st, 5th, and 6th columns. The figure is 1 unit high at the 2nd and 3rd columns.
More informationPLC Papers. Created For:
PLC Papers Created For: 3D shapes 2 Grade 4 Objective: Identify the properties of 3-D shapes Question 1. The diagram shows four 3-D solid shapes. (a) What is the name of shape B.. (1) (b) Write down the
More informationMathematics Standards for High School Geometry
Mathematics Standards for High School Geometry Geometry is a course required for graduation and course is aligned with the College and Career Ready Standards for Mathematics in High School. Throughout
More informationLesson 9. Three-Dimensional Geometry
Lesson 9 Three-Dimensional Geometry 1 Planes A plane is a flat surface (think tabletop) that extends forever in all directions. It is a two-dimensional figure. Three non-collinear points determine a plane.
More information11 cm. A rectangular container is 12 cm long, 11 cm wide and 10 cm high. The container is filled with water to a depth of 8 cm.
Diagram NOT accurately drawn 10 cm 11 cm 12 cm 3.5 cm A rectangular container is 12 cm long, 11 cm wide and 10 cm high. The container is filled with water to a depth of 8 cm. A metal sphere of radius 3.5
More informationUNIT 4: LENGTH, AREA, AND VOLUME WEEK 16: Student Packet
Name Period Date UNIT 4: LENGTH, AREA, AND VOLUME WEEK 16: Student Packet 16.1 Circles: Area Establish the area formula for a circle. Apply the area formula for a circle to realistic problems. Demonstrate
More informationThree-Dimensional Figures
Three-Dimensional Figures The number of coins created by the U.S. Mint changes each year. In the year 2000, there were about 28 billion coins created and about half of them were pennies!.1 Whirlygigs for
More informationVocabulary. Triangular pyramid Square pyramid Oblique square pyramid Pentagonal pyramid Hexagonal Pyramid
CP1 Math 2 Unit 8: S.A., Volume, Trigonometry: Day 7 Name Surface Area Objectives: Define important vocabulary for 3-dimensional figures Find the surface area for various prisms Generalize a formula for
More informationUNIT 5: GEOMETRIC AND ALGEBRAIC CONNECTIONS. Apply Geometric Concepts in Modeling Situations
UNIT 5: GEOMETRIC AND ALGEBRAIC CONNECTIONS This unit investigates coordinate geometry. Students look at equations for circles and use given information to derive equations for representations of these
More informationA VERTICAL LOOK AT KEY CONCEPTS AND PROCEDURES GEOMETRY
A VERTICAL LOOK AT KEY CONCEPTS AND PROCEDURES GEOMETRY Revised TEKS (2012): Building to Geometry Coordinate and Transformational Geometry A Vertical Look at Key Concepts and Procedures Derive and use
More informationMake geometric constructions. (Formalize and explain processes)
Standard 5: Geometry Pre-Algebra Plus Algebra Geometry Algebra II Fourth Course Benchmark 1 - Benchmark 1 - Benchmark 1 - Part 3 Draw construct, and describe geometrical figures and describe the relationships
More informationThe Juice Seller s Problem
The Juice Seller s Problem Hello and welcome, I'm Ghada Suleiman Abdullah Marmash, a teacher in the schools of King Abdullah II, His Excellence from Jordan. I hope that you can help me solve a problem;
More informationMath 7 Glossary Terms
Math 7 Glossary Terms Absolute Value Absolute value is the distance, or number of units, a number is from zero. Distance is always a positive value; therefore, absolute value is always a positive value.
More informationEDEXCEL NATIONAL CERTIFICATE UNIT 4 MATHEMATICS FOR TECHNICIANS OUTCOME 1
EDEXCEL NATIONAL CERTIFICATE UNIT 4 MATHEMATICS FOR TECHNICIANS OUTCOME 1 TUTORIAL 4 AREAS AND VOLUMES Determine the fundamental algebraic laws and apply algebraic manipulation techniques to the solution
More informationFirst Grade Mathematical I Can Statements
NUMBERS AND OPERATIONS 1.1.1 I can count forward to 100 with and without manipulatives. I can count backward from 20 with and without manipulatives. 1.1.2 I can read numbers to 100 using multiple strategies,
More informationG-GMD.1- I can explain the formulas for volume of a cylinder, pyramid, and cone by using dissection, Cavalieri s, informal limit argument.
G.MG.2 I can use the concept of density in the process of modeling a situation. 1. Each side of a cube measures 3.9 centimeters. Its mass is 95.8 grams. Find the density of the cube. Round to the nearest
More informationA triangle that has three acute angles Example:
1. acute angle : An angle that measures less than a right angle (90 ). 2. acute triangle : A triangle that has three acute angles 3. angle : A figure formed by two rays that meet at a common endpoint 4.
More informationVirginia Mathematics Checkpoint Assessment GEOMETRY G.14. Topic: Three-Dimensional Figures
Virginia Mathematics Checkpoint Assessment GEOMETRY G.14 Topic: Three-Dimensional Figures Standards of Learning Blueprint Summary Reporting Category Geometry SOL Number of Items Reasoning, Lines, and G.1(a-d),
More informationMr. Whelan Name: Block:
Mr. Whelan Name: Block: Geometry/Trig Unit 10 Area and Volume of Solids Notes Packet Day 1 Notes - Prisms Rectangular Prism: How do we find Total Area? Example 1 6cm Find the area of each face: Front:
More informationUnit 7: 3D Figures 10.1 & D formulas & Area of Regular Polygon
Unit 7: 3D Figures 10.1 & 10.2 2D formulas & Area of Regular Polygon NAME Name the polygon with the given number of sides: 3-sided: 4-sided: 5-sided: 6-sided: 7-sided: 8-sided: 9-sided: 10-sided: Find
More informationChapter 7. Description or Example. Found on Page. Vocabulary Term. Definition. base. center. circumference. chord. complex figure. cone.
C H A P T E R 7 This is an alphabetical list of new vocabulary terms you will learn in Chapter 7. As you complete the study notes for the chapter, you will see Build Your Vocabulary reminders to complete
More informationDraw and Classify 3-Dimensional Figures
Introduction to Three-Dimensional Figures Draw and Classify 3-Dimensional Figures Identify various three-dimensional figures. Course 2 Introduction to Three-Dimensional Figures Insert Lesson Title Here
More informationArizona Academic Standards
Arizona Academic Standards This chart correlates the Grade 8 performance objectives from the mathematics standard of the Arizona Academic Standards to the lessons in Review, Practice, and Mastery. Lesson
More informationSOL Review April Home work-nallari Math 8 Measurement & Geometry SOL -CAT Questions 13 SOL 8.6a, 8.7a-b, 8.8a-b,8.9,8.10a-b&8.
SOL Review April 18-22 Home work-nallari Math 8 Measurement & Geometry SOL -CAT Questions 13 SOL 8.6a, 8.7a-b, 8.8a-b,8.9,8.10a-b&8.11 Nallari Math 8 Class 1 SOL8.6a 1. If two angles add up to 180 o they
More informationPrentice Hall Mathematics: Pre-Algebra 2004 Correlated to: Colorado Model Content Standards and Grade Level Expectations (Grade 8)
Colorado Model Content Standards and Grade Level Expectations (Grade 8) Standard 1: Students develop number sense and use numbers and number relationships in problemsolving situations and communicate the
More informationTHREE-DIMENSIONAL GEOMETRY
Mathematics Revision Guides Three-dimensional Geometry Page 1 of 17 M.K. HOME TUITION Mathematics Revision Guides Level: GCSE Higher Tier THREE-DIMENSIONAL GEOMETRY Version:. Date: 18-03-018 Mathematics
More information2 nd Semester Final Exam Review
2 nd Semester Final xam Review I. Vocabulary hapter 7 cross products proportion scale factor dilation ratio similar extremes scale similar polygons indirect measurements scale drawing similarity ratio
More informationDeductive reasoning can be used to establish area formulas.
Mathematics: Modeling Our World Unit 4: THE RIGHT STUFF S U P P L E M E N TAL ACTIVITY AREA PROOFS S4.1 Deductive reasoning can be used to establish area formulas. 1.Many area proofs are based on a fact
More informationIn this chapter, we will investigate what have become the standard applications of the integral:
Chapter 8 Overview: Applications of Integrals Calculus, like most mathematical fields, began with trying to solve everyday problems. The theory and operations were formalized later. As early as 70 BC,
More informationExample: The following is an example of a polyhedron. Fill the blanks with the appropriate answer. Vertices:
11.1: Space Figures and Cross Sections Polyhedron: solid that is bounded by polygons Faces: polygons that enclose a polyhedron Edge: line segment that faces meet and form Vertex: point or corner where
More informationSection 7.2 Volume: The Disk Method
Section 7. Volume: The Disk Method White Board Challenge Find the volume of the following cylinder: No Calculator 6 ft 1 ft V 3 1 108 339.9 ft 3 White Board Challenge Calculate the volume V of the solid
More informationPractice A Introduction to Three-Dimensional Figures
Name Date Class Identify the base of each prism or pyramid. Then choose the name of the prism or pyramid from the box. rectangular prism square pyramid triangular prism pentagonal prism square prism triangular
More informationVolume of Cylinders. Volume of Cones. Example Find the volume of the cylinder. Round to the nearest tenth.
Volume of Cylinders As with prisms, the area of the base of a cylinder tells the number of cubic units in one layer. The height tells how many layers there are in the cylinder. The volume V of a cylinder
More information7 th GRADE PLANNER Mathematics. Lesson Plan # QTR. 3 QTR. 1 QTR. 2 QTR 4. Objective
Standard : Number and Computation Benchmark : Number Sense M7-..K The student knows, explains, and uses equivalent representations for rational numbers and simple algebraic expressions including integers,
More informationAlignment of Destination Math Courseware with GRADE 4 Benchmarks (B1-B3)
NUMBER SENSE SAM04101- B1 Read write whole numbers in the millions (1.1) 1.1 Read write whole numbers in the millions. I Number Sense Unit: Large Small Whole to One Million Ordering Rounding Whole SAM04102a-B1
More information25. How would you make the octahedral die shown below?
304450_ch_08_enqxd 12/6/06 1:39 PM Page 577 Chapter Summary 577 draw others you will not necessarily need all of them. Describe your method, other than random trial and error. How confident are you that
More informationMathematics High School Geometry
Mathematics High School Geometry An understanding of the attributes and relationships of geometric objects can be applied in diverse contexts interpreting a schematic drawing, estimating the amount of
More informationFLORIDA GEOMETRY EOC TOOLKIT
FLORIDA GEOMETRY EOC TOOLKIT CORRELATION Correlated to the Geometry End-of-Course Benchmarks For more information, go to etacuisenaire.com\florida 78228IS ISBN 978-0-7406-9565-0 MA.912.D.6.2 Find the converse,
More informationPages do a,c,e only (for questions that have parts)
use their knowledge of rectangles, parallelograms and triangles to deduce formulae for the area of a parallelogram, and a triangle, from the formula for the area of a rectangle solve problems involving
More informationIn Maths, each class is allocated to a grade. The work for each grade for this half term is outlined on the following slides.
In Maths, each class is allocated to a grade. The work for each grade for this half term is outlined on the following slides. You need to know which grade you are learning about to know which section to
More informationGeometry Assessment. Eligible Texas Essential Knowledge and Skills
Geometry Assessment Eligible Texas Essential Knowledge and Skills STAAR Geometry Assessment Reporting Category 1: Geometric Structure The student will demonstrate an understanding of geometric structure.
More information3. Draw the orthographic projection (front, right, and top) for the following solid. Also, state how many cubic units the volume is.
PAP Geometry Unit 7 Review Name: Leave your answers as exact answers unless otherwise specified. 1. Describe the cross sections made by the intersection of the plane and the solids. Determine if the shape
More informationDIOCESE OF HARRISBURG MATHEMATICS CURRICULUM GRADE 5
5A.Numbers and Operations Read, write, and identify whole numbers to the billions place. a. Demonstrate understanding of place value of whole numbers and decimal numbers. Match standard form to word form
More informationDesign and Communication Graphics
An approach to teaching and learning Design and Communication Graphics Solids in Contact Syllabus Learning Outcomes: Construct views of up to three solids having curved surfaces and/or plane surfaces in
More informationDetermine the surface area of the following square-based pyramid. Determine the volume of the following triangular prism. ) + 9.
MPM 1D Name: Unit: Measurement Date: Calculating and of Three Dimensional Figures Use the Formula Sheet attached to help you to answer each of the following questions. Three problems are worked out for
More informationFebruary 07, Dimensional Geometry Notebook.notebook. Glossary & Standards. Prisms and Cylinders. Return to Table of Contents
Prisms and Cylinders Glossary & Standards Return to Table of Contents 1 Polyhedrons 3-Dimensional Solids A 3-D figure whose faces are all polygons Sort the figures into the appropriate side. 2. Sides are
More informationS3 (3.1) N5 Volume.notebook April 30, 2018
Daily Practice 16.3.2018 Q1. Multiply out and simplify (3x - 2)(x 2-7x + 3) Daily Practice 19.3.2018 Q1. Multiply out and simplify (2x + 3)(x 2 + 7x + 4) Q2. Factorise fully 3x 2-75 Q2. Simplify x 3 (x
More informationPractice Test - Chapter Use isometric dot paper and the orthographic drawings to sketch the solid.
1. Use isometric dot paper and the orthographic drawings to sketch the solid. top view: There are 3 rows and 6 columns. The dark segments indicate changes in depth at the 2nd and 3rd columns. left view:
More informationMATHOMAT SENIOR TEMPLATE. A technical and creative drawing tool for senior secondary school students.
SENIOR TEMPLATE A technical and creative drawing tool for senior secondary school students. Mathomat Senior has been specifically developed for Sketching and presentation of work by students from years
More informationGeometry 10 and 11 Notes
Geometry 10 and 11 Notes Area and Volume Name Per Date 10.1 Area is the amount of space inside of a two dimensional object. When working with irregular shapes, we can find its area by breaking it up into
More informationAldine ISD Benchmark Targets /Geometry SUMMER 2004
ASSURANCES: By the end of Geometry, the student will be able to: 1. Use properties of triangles and quadrilaterals to solve problems. 2. Identify, classify, and draw two and three-dimensional objects (prisms,
More informationThree-Dimensional Figures
Three-Dimensional Figures The number of coins created by the U.S. Mint changes each year. In the year 2000, there were about 28 billion coins created and about half of them were pennies!.1 Whirlygigs for
More informationMPM 1D Learning Goals and Success Criteria ver1 Sept. 1, Learning Goal I will be able to: Success Criteria I can:
MPM 1D s and ver1 Sept. 1, 2015 Strand: Number Sense and Algebra (NA) By the end of this course, students will be able to: NA1 Demonstrate an understanding of the exponent rules of multiplication and division,
More informationCalifornia Standard Study Island Topic Common Core Standard
State: CA Subject: Math Grade Level: 4 California Standard Study Island Topic Standard NUMBER SENSE 1.0: Students understand the place value of whole numbers and decimals to two decimal places and how
More informationVirginia Geometry, Semester A
Syllabus Virginia Geometry, Semester A Course Overview Virginia Geometry, Semester A, provides an in-depth discussion of the basic concepts of geometry. In the first unit, you ll examine the transformation
More informationMath-2 Lesson 6-3: Area of: Triangles, rectangles, circles and Surface Area of Pyramids
Math- Lesson 6-3: rea of: Triangles, rectangles, circles and Surface rea of Pyramids SM: Lesson 6-3 (rea) For the following geometric shapes, how would you answer the question; how big is it? Describe
More informationGanado Unified School District 7 th Grade Mathematics
Ganado Unified School District 7 th Grade Mathematics PACING Guide SY 2014-2015 Quarter 3 Week 1 Graphs Text Reference Concept : Use random sampling to draw inferences about population. 7.SP.A.1. Understand
More informationSurface Area and Volume
Surface Area and Volume Day 1 - Surface Area of Prisms Surface Area = The total area of the surface of a three-dimensional object (Or think of it as the amount of paper you ll need to wrap the shape.)
More informationExplore Solids
1212.1 Explore Solids Surface Area and Volume of Solids 12.2 Surface Area of Prisms and Cylinders 12.3 Surface Area of Pyramids and Cones 12.4 Volume of Prisms and Cylinders 12.5 Volume of Pyramids and
More information4) Simplify 5( 6) Simplify. 8) Solve 1 x 2 4
Algebra Summer Assignment 1) Simplify x 4y 10 x ) Simplify 4y 6x 3( x y) 3) Simplify 1 3 ( x 3) 4) Simplify 5( x 9x) (3x 4) 7 5) Simplify ( x 3)( x ) 6) Simplify ( x 4) 3 7) Simplify ( 5x 8)(4x 1) 8) Solve
More informationName: Period 3/23/12 4/12/12 Pre-AP
Name: Period 3/23/12 4/12/12 Pre-AP UNIT 14: SOLIDS I can define, identify and illustrate the following terms: Face Edge Vertex Cross section Prism Height Surface area Lateral surface area Net Volume Scale
More informationPrentice Hall Mathematics: Geometry 2007 Correlated to: Arizona Academic Standards for Mathematics (Grades 9-12)
Strand 1: Number Sense and Operations Every student should understand and use all concepts and skills from the previous grade levels. The standards are designed so that new learning builds on preceding
More informationGeometry: Semester 2 Practice Final Unofficial Worked Out Solutions by Earl Whitney
Geometry: Semester 2 Practice Final Unofficial Worked Out Solutions by Earl Whitney 1. Wrapping a string around a trash can measures the circumference of the trash can. Assuming the trash can is circular,
More informationVOLUME OF A REGION CALCULATOR EBOOK
19 March, 2018 VOLUME OF A REGION CALCULATOR EBOOK Document Filetype: PDF 390.92 KB 0 VOLUME OF A REGION CALCULATOR EBOOK How do you calculate volume. A solid of revolution is a solid formed by revolving
More informationAlgebra II. Slide 1 / 181. Slide 2 / 181. Slide 3 / 181. Conic Sections Table of Contents
Slide 1 / 181 Algebra II Slide 2 / 181 Conic Sections 2015-04-21 www.njctl.org Table of Contents click on the topic to go to that section Slide 3 / 181 Review of Midpoint and Distance Formulas Introduction
More information4th Grade Math Scope & Sequence-June 2017
4th Grade Math Scope & Sequence-June 2017 Topic Strand Concept State Standard 1: Generalize Place Value Understanding * Read and write numbers in expanded form, with number names. * Recognize the relationship
More informationMathematics Scope & Sequence Geometry
Mathematics Scope & Sequence Geometry Readiness Standard(s) First Six Weeks (29 ) Coordinate Geometry G.7.B use slopes and equations of lines to investigate geometric relationships, including parallel
More informationMathematics High School Geometry An understanding of the attributes and relationships of geometric objects can be applied in diverse contexts
Mathematics High School Geometry An understanding of the attributes and relationships of geometric objects can be applied in diverse contexts interpreting a schematic drawing, estimating the amount of
More informationGeometry. Geometry. Domain Cluster Standard. Congruence (G CO)
Domain Cluster Standard 1. Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance
More informationPrentice Hall Mathematics: Course Correlated to: Colorado Model Content Standards and Grade Level Expectations (Grade 8)
Colorado Model Content Standards and Grade Level Expectations (Grade 8) Standard 1: Students develop number sense and use numbers and number relationships in problemsolving situations and communicate the
More informationUsing the Best of Both!
Using the Best of Both! A Guide to Using Connected Mathematics 2 with Prentice Hall Mathematics Courses 1, 2, 3 2012, and Algebra Readiness MatBro111707BestOfBothPH10&CMP2.indd 1 6/7/11 11:59 AM Using
More informationVisualising Solid Shapes
VISUALISING SOLID SHAPES 2 7 7 Visualising Solid Shapes Chapter 15 15.1 INTRODUCTION: PLANE FIGURES AND SOLID SHAPES In this chapter, you will classify figures you have seen in terms of what is known as
More informationOhio s Learning Standards-Extended. Mathematics. Congruence Standards Complexity a Complexity b Complexity c
Ohio s Learning Standards-Extended Mathematics Congruence Standards Complexity a Complexity b Complexity c Most Complex Least Complex Experiment with transformations in the plane G.CO.1 Know precise definitions
More information11.6 Start Thinking Warm Up Cumulative Review Warm Up
11.6 Start Thinking The diagrams show a cube and a pyramid. Each has a square base with an area of 25 square inches and a height of 5 inches. How do the volumes of the two figures compare? Eplain your
More informationName: Target 12.2: Find and apply surface of Spheres and Composites 12.2a: Surface Area of Spheres 12.2b: Surface Area of Composites Solids
Unit 12: Surface Area and Volume of Solids Target 12.0: Euler s Formula and Introduction to Solids Target 12.1: Find and apply surface area of solids 12.1a: Surface Area of Prisms and Cylinders 12.1b:
More informationGeometry. Cluster: Experiment with transformations in the plane. G.CO.1 G.CO.2. Common Core Institute
Geometry Cluster: Experiment with transformations in the plane. G.CO.1: Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of
More information