MCKE 3043-Sec 001: Geometry And Measurement Spring
MCKE 3043-Sec 001: Geometry and MeasurementSpring 2013Instructor: Dr. RaKissa CribariOffice: CU Bldg. Room 620Phone: 303-556-8463E-mail: rakissa.cribari@ucdenver.eduCourse dates/times: M/W 12:30-1:45pmCourse Location: NC 3205Office Hours: M/T/W: 11:00-12:00pmOther times available by appt.Dept. Associate Chair: Lynn Bennethum – Office CU 638, Phone: 303-556-4810Prerequisites: Completion of MCKE 3042 with a ‘C’ or better or its equivalentCourse Description: This is the third of a 3-course sequence particularly pertinent to prospectiveelementary teachers, presenting geometry and measurement from a modern approach. Its primaryemphasis is the development of spatial reasoning. Explorations focus on the investigations of two- andthree-dimensional shapes, including their properties, measurements, constructions, andtransformations. Mathematics content is presented in a problem solving and exploratory context.Geometry is full of exciting discoveries – be prepared to have fun!Required Textbooks: We will use the Singapore curriculum, which consists of a main text and 6workbooks. The required materials are: Elementary Geometry for Teachers (Parker & Baldridge, 2008). This is the main text. New Elementary Mathematics (NEM) Syllabus D (Yoong & Meng, 2006) Primary Mathematics 3B (Marshall Cavendish Education, 2003) Primary Mathematics 4A (Marshall Cavendish Education, 2003) Primary Mathematics 5A (Marshall Cavendish Education, 2003) Primary Mathematics 5B (Marshall Cavendish Education, 2003) Primary Mathematics 6B (Marshall Cavendish Education, 2003)Required Materials: Ruler Protractor Compass Mira (available at the bookstore) Graph paper or engineering paper Scissors 2 inch binder Suggested: Colored pencils or markers, and a geoboard (www.etacuisenaire.com)“A genius is a talented person who does his homework.” Thomas EdisonMethod of Evaluation:Homework: Homework problems will be assigned daily. However, I will not collect the homeworkfor a grade. You will be allowed to use your homework on weekly homework quizzes. Therefore, it isimportant that you complete your homework each week.1
Quizzes: There will be 12 homework quizzes over the course of the semester. Each quiz will be overthe prior week’s homework and will be given every Wednesday except during exam weeks (e.g.homework assigned in week 1 will be covered in the quiz on Wednesday of week 2). To compensatefor unforeseen circumstances, two-quiz scores will be dropped. No makeup quizzes will be given.You must contact me in advance to arrange another time to take the quiz (prior to the scheduled inclass quiz). In class quizzes will be given at the beginning of the class. Do not be late!Exams: There will be 2 in class exams – see tentative schedule for dates. There will be no makeupexams. You must contact me in advance so that we may arrange another test date (prior to thescheduled in class exam): documentation will be requested. In class exams will comprise 300 points ofyour grade. You must bring your student ID card and/or a government issued photo ID to each exam.Group Activities/Projects: Students will work in groups every day. Throughout the semester groupswill be required to work on activities or mini-projects they will turn in for a group grade. Any groupparticipants not in attendance will take a zero (0) on the assignment. Group Activities/Projects willmake up no more than 100 points of your grade.Writing Assignments/Reflections/Portfolio: Throughout the semester I will ask you to write about themathematics you are learning, reflect on articles related to teaching, and analyze and reflect on studentthinking/strategies for solving problems. These activities will comprise no more than 150 points ofyour grade.Final Exam: There will be a comprehensive final exam worth 200 points. Attendance at the finalexam is mandatory. Having the final rescheduled is extremely rare and is not permitted for reasonssuch as a plane ticket that was purchased earlier or attendance at weddings. There will be no makeupfinal exams and a missed final exam will result in a 0 for the final.Grading: The following scale will be used in determining course grades.90%-100% A80%-89% B70%-79% C60%-69% DBelow 60% FNote: I will not use /- grading.Attendance: Attendance will be taken daily. You are expected to attend class faithfully and to takeresponsibility for your own learning. Each student is allowed to miss up to 3 class periods over thecourse of the semester. If you chose to miss more than the allotted 3, you will lose the opportunity toimprove prior exam grades on the final exam. Remember, mathematics is not a spectator sport – youhave to be present and active in your learning.Missing Class work and Materials. If you know ahead of time that you will have to miss a class youshould contact me immediately to get the homework, any class handouts, etc. It is not myresponsibility to make sure you don’t miss deadlines or assignments it is your responsibility!You should also contact your group-mates for help with missed class work. You are responsible forknowing the material if you miss a class.Class Code of Conduct: Be on time to all classes and attend the entire class period. Come prepared and with a positive and energetic attitude. Focus on learning and limit side activities or interruptions. Gossip, negativism, whining, and rudeness will not be acceptable. Respect each person, treat each other with dignity, and encourage all to participate.2
Coursework Guidelines: Label (i.e., use units) and clearly identify your answers! In many cases, you will be required to justify your answer via an explanation (you shouldpractice this on all assignments). Your explanations should be carefully worded, accurate, andin complete sentences. In most cases, your explanation should pertain to WHY you can find thesolution using your method, rather than WHAT your method is. SHOW ALL WORK! Also, make sure that it is mathematically accurate and coherent. Know, use and accurately spell appropriate vocabulary.Other ConcernsAcademic DishonestyStudents are required to know, understand, and comply with the CU Denver Academic DishonestyPolicy as detailed in the Catalog and on the CLAS website. Academic dishonesty consists ofplagiarism, cheating, fabrication and falsification, multiple submission of the same work, misuse ofacademic materials, and complicity in academic dishonesty. If you are not familiar with the definitionsof these offenses, go to onesty.aspx. This course assumes your knowledge ofthese policies and definitions.Failure to adhere to them can result in possible penalties ranging from failure of this course todismissal from the University; so, be informed and be careful. If this is unclear to you, ask me. TheCollege of Liberal Arts and Sciences (CLAS) Ethics Bylaws allow the instructor to decide how torespond to an ethics violation, whether by lowering the assignment grade, lowering the course grade,and/or filingcharges against the student with the Academic Ethics Committee. Violating the Academic Honor Codecan lead to expulsion from the University.DisruptionsClass disruptions (cell phones, music, etc) and any other inappropriate behavior will not be tolerated. Iwill penalize accordingly. Please see the CU-Denver Code of Student Conduct for details.DisabilitiesStudents with disabilities who need accommodations should make me aware of this either bycontacting me directly or by having the Disabilities Services Office (North Classroom 2514; 303-5563450) contact me by the end of week 1 of classes.Getting HelpThe Center for Learning Assistance Offers free tutoring and help concerning class assignments, course-loads, and study skills Located in North Classroom (NC) Room 2006. 303-556-2802MERC (Math Education Resource Center) Free assistance on assignments NC 4015. 303-556-8532 Must bring valid CU-Denver ID.3
GEOMETRY AND MEASUREMENTMCKE 3043TENTATIVE COURSE SCHEDULEWeek of:SectionsJanuary 21stIntros; Chapter 1January 28thChapter 1 & Transformations Supplemental MaterialQ1February 4thTransformations Q2February 11thTransformations & Chapter 2 Q3February 18thChapter 2 Q4February 25thChapter 3 & Exam 1March 4thChapter 3 & Quad. Supplemental Materials Q5March 11thQuad Materials Q6March 18thChapter 5 & Area Supp. Materials Q7March 25thNo Class – Spring BreakApril 1stArea Materials & Chapter 6 Q8April 8thChapter 6 & 8 Q9April 15thChapter 8 & Exam 2April 22ndVolume Supplemental Materials & Chapter 9Q10April 29thChapter 9 & 7 Q11May 6thChapter 7 Q12May 13thFinal Exam – Date and Time TBDNOTE: I reserve the right to change the schedule throughout the course of the semester.4
Course Objectives:Upon successful completion of this course, students will be able to: Proceed from analyzing the properties of geometric objects to making connections among theproperties of those objects to finally reasoning informally and making deductions aboutgeometric objects (as suggested by the Van Hiele levels). Develop and reflect on knowledge of two- and three-dimensional shapes through a variety ofproblem solving opportunities. Make and investigate mathematical conjectures as well as develop and evaluate deductiveand spatial reasoning. Communicate mathematical thinking coherently and clearly to peers in small groups and inwhole-class discussions and to teachers in one-on-one dialog and on written work. Understand how geometrical mathematical ideas interconnect with mathematical ideas and tocontexts outside of mathematics. Create and apply multiple representations to organize, record, and communicate geometricaland measurement ideas. Utilize appropriate technology to study geometry and measurement. Use manipulatives to develop conceptual understanding from concrete to abstract. Be aware of the role of culture and history in the development of geometry and measurement. Demonstrate ability to visualize and solve problems involving two- and three-dimensionalshapes. Demonstrate how rigid motions in the plane result in congruent figures. Demonstrate understanding of how similar figures result from a dilation, and the role ofproportional relationships in determining similarity. Identify common two- and three-dimensional shapes and list their basic characteristics andproperties. Understand the common forms of measurement and choose appropriate tools and units formeasuring. Understand, derive, and use measurement techniques and formulas for length, area, andvolume.Outline of Course Content: We will cover chapters 1-3, section 4.4, chapters 5-6, chapters 8-9, andchapter 7 (if time allows). Two-Dimensional Shapes (e.g., triangles, quadrilaterals, polygons, and circles) Analyzing Properties of Two-Dimensional Shapes Attributes Concave/convex Properties of sides and angles Congruence Parallel and perpendicular lines Symmetry (line and rotational) Measurements Angle measures in degrees Linear measures (e.g., perimeter) Area measures5
Constructions Folding MIRA Straight edge and compass Transformations of Polygons Rigid Motions in Geometry Translations Rotations Reflections Combinations of Motions Non-rigid Motions Magnification Similarity Tessellations of PolygonsThree-Dimensional Objects (e.g., cylinders/prisms, cones/pyramids, and polyhedra) Analyzing Properties of Three-Dimensional Objects Attributes Vertex, Edge, and Face Symmetry (plane and rotational) Measurements Surface area Volume Mass and weight Constructions and Two-Dimensional Representations Nets Orthographic projectionsMeasurement Systems of Measurement Customary system Metric system Nonstandard systems Dimensional Analysis (unit analysis) Conversions within a measurement system Rates (e.g., velocity and density) Scale FactorsThese instructional goals are aligned with Common Core Content Standards for Mathematics, theGeometry Standard and Measurement Standard of the National Council of Teachers of Mathematics,and the geometry and measurement recommendations for elementary teacher preparation by theConference Board of the Mathematical Sciences.6
Spring 2013 CLAS Academic PoliciesThe following policies pertain to all degree students in the College of Liberal Arts and Sciences(CLAS). Schedule verification: It is each student’s responsibility to verify online that his/herofficial registration is correct: verify before classes begin and prior to the drop/adddeadline. Failure to verify schedule accuracy is not sufficient reason to justify a late add ordrop. E-mail: Students must activate and regularly check their official student e-mail account forCU Denver business: Mail.aspx.Those who forward email must check CU Denver e-mail regularly for messages notautomatically forwarded.Waitlists: Students are not automatically notified if they are added to a class from a waitlist. Students are not automatically dropped from a class if they never attended, stoppedattending, or do not make tuition payments. Waitlists are purged after the 1st week of classes, after which a paper ScheduleAdjustment Form (SAF or drop/add form) is required. It is the student's responsibilityto get the form (online or at the Advising Office, NC 4002), have it signed, deliver it tothe Registrar (Annex 100) or the Student Services Center (NC 1003), and verify her/hisschedule online.Late adds (after 6 February) will be approved only when circumstances surrounding thelate add are beyond the student’s control. This will require a written petition and verifiabledocumentation. Petition forms are available in NC 4002. The signature of a faculty memberon a SAF does not guarantee that a late add petition will be approved.Late drops (after 6 February) will be approved only when circumstances surrounding thelate drop have arisen after the published drop deadline and are beyond the student’scontrol. This will require a written petition and verifiable documentation. The signature of afaculty member does not guarantee that a late drop petition will be approved.Tuition: Students are responsible for completing arrangements with financial aid, family,scholarships, etc. to pay their tuition prior to Census Date (6 February). Students who dropafter that date are (1) financially responsible for tuition and fees, (2) academicallyresponsible and will receive a "W" grade, and (3) are ineligible for a refund of COF hours ortuition.Graduation: Undergraduate students wishing to graduate in spring 2013 must (1) first meet withtheir CLAS advisor; (2) then meet with their major and minor advisor(s), who willcomplete the electronic form required to verify eligibility to graduate; and (3), only then,apply for graduation online through UCDAccess. These steps must be completed byCensus Date (6 February), which is an absolute deadline without exceptions. Graduate students wishing to graduate in spring semester 2013 must complete theonline Intent to Graduate form and have a Request for Admissions to Candidacy on filewith the CU Denver Graduate School (LSC 1251) no later than 5 PM, February 6, 2013.Important Dates and Deadlines7
January 21, 2013: Martin Luther King Holiday. Last day to withdraw from all classes viaUCDAccess and receive a refund of the 200 advance payment and all tuition.January 22, 2013: First day of classes. January 27, 2013: Last day to add or waitlist classes using UCDAccess. After this date, aSchedule Adjustment Form (SAF) is required to change, add, or drop. January 28, 2013: Last day to drop without a 100 drop charge. No adds permitted on thisday.January 29 - February 6, 2013: UCDAccess registration is closed; registration now requires a SAF with faculty signature. Verify your registration via UCDAccess. You are not registered for a course unless yourname appears on the official roster; conversely, your name may have been addedautomatically from the waitlist without notification, which means that you will be heldresponsible.February 6, 2013: Census date. 2/6/13, 5 PM: Last day to add structured courses without a written petition for a lateadd. This is an absolute deadline and is treated as such. This does not apply toindependent studies, internships, project hours, thesis hours, dissertation hours, andmodular courses. 2/6/13, 5 PM: Last day to drop a course or completely withdraw from spring 2013using a SAF and still receive a tuition refund, minus the drop fee. After this date, tuitionis forfeited and a "W" will appear on the transcript. This includes section changes. Thisis an absolute deadline. 2/6/13, 5 PM: Last day to request Pass/Fail or No-Credit option for a course. 2/6/13, 5 PM: Last day for a graduate student to register for a Candidate for Degreeand last day for a Ph.D. student to petition for a reduction in hours. 2/6/13, 5 PM: Last day to apply for spring 2013 graduation. If an undergraduate, youmust make an appointment and see your academic advisor to apply. If a graduatestudent, you must complete the Intent to Graduate and Candidate for Degree forms.February 11-20 (estimated), 2013: Faculty can use the Early Alert system.March 25-31, 2013: Spring Break.April 1, 2013, 5 PM: Last day for non-CLAS students to drop or withdraw without a petitionand special approval from the academic dean. After this date, a dean’s signature is required.April 15, 2013, 5 PM: Last day for CLAS students to drop or withdraw with signatures fromthe faculty and dean but without a full petition. After this date, all schedule changes requirea full petition. Petitions are available in NC 4002 for undergraduates and in the CU DenverGraduate School offices for graduate students. May 13-18, 2013: Finals Week. No schedule changes will be granted once finals week hasstarted--there are no exceptions to this policy. Commencement is May 18. May 22, 2013 (tentative): Due date for faculty submission of grades.May 27, 2013 (tentative): Spring final grades available on UCD Access.8
Primary Mathematics 3B (Marshall Cavendish Education, 2003) Primary Mathematics 4A (Marshall Cavendish Education, 2003) Primary Mathematics 5A (Marshall Cavendish Education, 2003) Primary Mathematics 5B (Marshall Cavendish Education, 2003) Primary Mathematics 6B (Marshall Cave
rope High Knee Jog Push ups Over head Slam Dips Kettle Bell Swing Goblet Squat Split Jump Mountain Climbers Alt Lunge Crunches Plank Reverse Curl Cycle Legs Warm up: Rowing Machine 500 meters 20 sec 20 sec 20 sec 20 sec 20 sec 20 sec 20 sec 20 sec 20 sec 20 sec 20 sec 20 sec 20 sec 20 sec 20 sec 20 sec Stop watch required. Complete each
Calf Raise - standing or seated 12 reps 60 sec 10 reps 60 sec 8 reps 60 sec 6 reps 60 sec CORE Crunches 20 reps 30 sec 20 reps 30 sec 20 reps 30 sec Plank 60 sec 30 sec 60 sec 30 sec 60 sec 30 sec Plate Twist 20 reps 30 sec 20 reps 30 sec 20 reps 30 sec THE WAY TO BULK
holux hxe-w01 hp 290483-b21 310798-b21 311314-001 311314-002 311315-b21 311340-001 311349-003 311949-001 343110-001 343117-001 350579-001 359498-001 35h00013-00 35h00014-00 35h00063-00m 377358-001 382877-001 382878-001 383745-001 383858-001 395780-001 398687-001 399858
cycle time 1/(ops/sec) required sec/op equipment capability actual sec/op actual sec/op required sec/op - happiness required sec/op actual sec/op - misery (or multiple resources) Typical cycle times: 3-5 sec manual small parts 5-10 sec small robot 1-4 sec small fixed automation 10-60 sec large robot or manual large parts
001 10 001 055 dyson andrew pass 001 10 001 056 gomani only pass 001 10 001 057 jasten wonderful pass 001 10 001 058 jobo yona pass . 001 10 003 083 wanda kastom l pass 001 10 003 084 y
JBoss EAP (Java EE) 2 - 3 sec 3 sec 40 MB 200 - 400 MB 23K req/sec JBoss EAP (Spring) 2 - 3 sec 7 sec 40 MB 500 - 700 MB 9K req/sec JBoss WS/Tomcat (Spring) 0 - 1 sec 8 sec 40 MB 0.5 - 1.5 GB 8K req/sec Fat JAR (Spring Boot) N/A 3 sec 30 MB 0.5 - 2.0 GB 11K r
Abe, Genki 064 31798 001 039 230 86/05/05 Abendroth, Walter 100 325769 001 001 230 86/11/03 Aberg, Einar 105 009428 001 155 230 86/16/05 Abetz, Otto 100 004219 001 022 230 86/11/06 Abjanic, Theodore 105 253577 001 132 230 86/16/01 Abrey, Richard See Sovloot (100-382419) Abs, Hermann J. 105 056532 001 167 230 86/16/06 Abualy, Aldina 105 007801 001 183 230 86/17/02 Abwehr 065 37193 001 122 230 .
Abrasive water jet (AWJ) machining has been known for over 40 years. It was introduced, described and presented by Hashish [1]. It is often used to cut either semi-finished products or even final products, namely from plan-parallel plates of material. Nevertheless, applications of abrasive water jets for milling [2], turning [3], grinding [4] or polishing [5] are tested more and more often .
