Make Your Math Super Powered
|
|
- Annabel Crawford
- 5 years ago
- Views:
Transcription
1 Mke Your Mth Super Powered: Use Gmes, Chllenges, nd Puzzles Where s the fun? Lern Mth Workshop model by prticipting in one nd explore fun nocost/low-cost gmes nd puzzles tht you cn esily bring into your clssroom. Lern how the gmes nd ctivities support the CCSS. Agend Engged, hppy lerners + Stndrds for Mth prctice = Super Powered Mth Wrm Up Gols To lern bout the CC Mth Prctices nd how they re imbued in gmes nd enrichment ctivities To leve with gmes nd ctivities for centers Mini Lesson Center Work Reflection Closure Mnuel Crowley Director of Mth Eduction Zeno mnuelcr@zenomth.org Vicki Pettiross Mthemticin in Residence Zeno vickipe@zenomth.org We believe tht with the self-confidence nd skills gined by experiencing mth in unique wys, person s possibilities re infinite. Our gmes re-frme mth s fun nd relevnt so tht ll kids, dults, nd fmilies cn build mth confidence nd lifetime skills! Common Core Stndrds for Mthemticl Prctice 1. Mke sense of problems nd persevere in solving them. *** 2. Reson bstrctly nd quntittively. 3. Construct vible rguments nd critique the resoning of others. *** 4. Model with mthemtics. 5. Use pproprite tools strtegiclly. 6. Attend to precision. *** 7. Look for nd mke use of structure. 8. Look for nd express regulrity in repeted resoning. *** The Mth Prctices covered in this workshop
2 Drw lrge circle on the bord. All the numbers you write inside the circle follow certin rule; none of the numbers outside the circle follow the rule. As you dd numbers inside nd out, students try to determine the rule. The esiest exmple is evens in the circle, odds outside the circle. Other possibilities include fctors of 12; multiples of 4; divisible by 3 or 5 or... ; primes nd composites; two-digits in the circle, one- nd three-digits outside; numbers less thn 20, numbers greter thn 20; regulr qudrilterls in, irregulr qudrilterls out. Or try trick question on the kids: only numbers written with stright lines (1, 4, 7) in the circle, only becuse they hve both stright nd curved lines. This gme cn lso be esily dpted to other subject res. More possibilities: ½), numbers in the circle double the tens plce less) thn the number in the ones plce (i.e.: 32, 98, 76, or 23, 45, 67; to mke it more chllenging, try 1098, 5432) t dd to certin totl (57, 183, 48) Digit Plce Gme (STRAND: Mthemticl Resoning): The gol of this gme is for students to use logicl resoning to deduce secret three-digit (or, more difficult, four-digit) number. The techer (or leder) writes down threedisclose it. Students tke turns guessing the number. With ech guess, the techer gives one of the following clues for ech digit in the number:: correct digit nd in the correct plce correct digit but in the wrong plce no digits re correct (but sk students wht vluble informtion this provides) As students get more informtion bout the number, they strt mking educted, rther thn rndom, guesses.
3 Digit Plce Gme Nme Clues Digit (D) mens the digit is correct but it is in the wrong plce. Plce (P) mens the digit is correct nd in the correct plce. GUESS CLUES Digit Plce Gme Nme Clues Digit (D) mens the digit is correct but it is in the wrong plce. Plce (P) mens the digit is correct nd in the correct plce GUESS CLUES
4 Students work t problems they don t utomticlly understnd Mke nd evlute conjectures Try to communicte precisely to others Deep Understnding o Listen or red rguments of others, decide whether they mke sense, nd sk useful questions to clrify or improve the rguments Clculte ccurtely nd efficiently Check for understnding nd chnge course if necessry o Justify conclusions Persevernce o Give crefully formulted explntions to ech other Students tlk bout the problem nd then shre strtegies used to solve them Investigte the ccurcy of their own mthemticl resoning nd the resoning of others Gin experience grppling with problems nd persevering through complex mthemticl situtions
5 Pttern locks A Nme: How mny blocks did you use to solve puzzle A? Puzzle Totl How mny different wys did you solve puzzle A?
6 Pttern locks Nme: How mny blocks did you use to solve puzzle? Puzzle Totl How mny different wys did you solve puzzle?
7 Pttern locks Nme: How mny blocks did you use to solve puzzle C? Puzzle Totl C C C C C C C C C How mny different wys did you solve puzzle C?
8 Pttern locks Nme: How mny blocks did you use to solve puzzle D? Puzzle Totl D D D D D D D D D How mny different wys did you solve puzzle D?
9 Slute (STRAND: Number Sense-Addition/Multipliction): division or subtrction. Ech group will need deck of crds with fce crds removed (ces = 1). One plyer is the judge. ddition. The judge gives ech plyer crd, fce down. When the judge forehed so the judge nd the other plyer cn see it. The judge then nnounces the sum (using the proper word-sum) of the two numbers. The first plyer to correctly nnounce his/her own number wins the two crds. The other plyer must sy their number lso. The gme winner is the one with the most crds. For exmple, if plyer A sees tht Plyer hs 7 nd the judge nnounces the sum s 13, Plyer A knows tht her crd is 6 nd sys so. Slute works the sme wy for multipliction. To mke the ddition gme more chllenging, ply with four plyers. The judge nnounces the sum nd ech plyer hs to look t two other numbers before deciding wht his/hers is. Ech plyer should be sked to stte his/her number. Twenty-five (STRAND: Number Sense-Add/Sub): fce crds removed (ce = 1) for ech group of plyers. efore plying the gme, review the number pirs tht dd to 10. Then hve the students look for wys to use this knowledge to help them dd nd subtrct fster. Del out ll the crds, n equl number to ech plyer. The crds re left fce down in pile in front of ech plyer. The first plyer turns over the top crd nd plces it fce up in the center of the ply re nnouncing the number. The next plyer turns over crd, dds the number to the crd lredy plyed, sys the sum out loud, nd plces the crd on top of the previously plyed crd. The next plyer turns over crd nd dds the number to the sum of the first two crds. Ply continues in this wy until someone hs crd tht, when dded, will give sum greter thn 25. When tht hppens, the plyer must subtrct rther thn dd. Ply continues until someone gets sum of exctly 25. The plyer, who gets sum of exctly 25, wins tht round nd goes first in the next round.
10 Website Informtion Groupmker Explntion nd Excel Progrm Expnd Your Crd Pck Reprint Your Crd Pck Fun Mth Gmes After School Mth Squd nd Other Zeno Progrms Usernme: zeno-guest; Pssword: infinity Kkoom Greg Tng Ten Pin Limbo Greg Tng Preschool Number Gmes Gwen Dewr
11
12
13
14
15
16
17
18 A 7 yer-old girl hd been encourged to find wys to identify ptterns in more thn just mth clss. Would she enjoy music more? Hve deeper understnding of biology? elieve in her own bility to lern? The fther of 10 yer-old ws ble to re-lern frctions school. Would his new knowledge impct his son? Could they lern together? Would it deepen their own reltionship? Zeno, non-profit orgniztion, believes tht with the self-confidence nd skills gined by gmes nd progrms re-frme mth s fun nd relevnt so tht ll kids, techers nd fmilies cn build mth confidence nd lifetime skills. See us t School Prtnerships Mth Clubs: A before or fter school hotspot, students revel in vriety of interctive, hnds-on mth ctivities nd gmes. Monthly Mth Chllenge: Kids vie to ctpult their clssroom to mth strdom by nswering this lwys rigorous, yet-ever-prcticl, mth question. Fmily Mth Nights: School cfeteris cn brely contin the enthusism of students, prents nd techers s they ply mth gmes together. Mthemticin-in-Residence (MIR): tem up with clssroom techers to model new nd exciting wys of teching mth. Community Connections Summer Mth Cmps: More fun thn cmping, cnoeing nd crfts combined, these cmps re designed to eliminte summer lerning loss nd increse mth competency in exciting wys. Community MthWys: Prents nd pr-eductors nd build their own confidence nd enthusism for engging kids in mth. Mth + Science Night Out: In prtnership with the Pcific Science Center, experience the fun stuff MATH cn mke possible! MthFest: This event sees kids nd fmilies plying mth gmes together in crnivl-like tmosphere! While plying, kids build their confidence nd enthusism for mth, nd see tht the community supports their involvement. To schedule tour of Zeno progrms or lern more bout how your school cn prtner with Zeno, plese contct Citlin Nunberg t citlinnu@zenomth.org.
Math Circles Finite Automata Question Sheet 3 (Solutions)
Mth Circles Finite Automt Question Sheet 3 (Solutions) Nickols Rollick nrollick@uwterloo.c Novemer 2, 28 Note: These solutions my give you the nswers to ll the prolems, ut they usully won t tell you how
More informationStudent Book SERIES. Fractions. Name
D Student Book Nme Series D Contents Topic Introducing frctions (pp. ) modelling frctions frctions of collection compring nd ordering frctions frction ingo pply Dte completed / / / / / / / / Topic Types
More informationStudent Book SERIES. Patterns and Algebra. Name
E Student Book 3 + 7 5 + 5 Nme Contents Series E Topic Ptterns nd functions (pp. ) identifying nd creting ptterns skip counting completing nd descriing ptterns predicting repeting ptterns predicting growing
More informationSECOND EDITION STUDENT BOOK GRADE
SECOND EDITION STUDENT BOOK GRADE 5 Bridges in Mthemtics Second Edition Grde 5 Student Book Volumes 1 & 2 The Bridges in Mthemtics Grde 5 pckge consists of: Bridges in Mthemtics Grde 5 Techers Guide Units
More informationTRUMBULL PUBLIC SCHOOLS
PS TRUMBULL PUBLC SCHOOLS CURRCULUM DEPARTMENT 6254 Min St., Trumbull, CT 06611 (203) 452-4336 FAX (203) 452-4342 Lind S. Pslov, Ed.D. Director of Curriculum, nstruction, & Assessments e-mil: pslovl@trumbullps.org
More informationSeries. Teacher. Numbers
Series B Techer Copyright 2009 3P Lerning. All rights reserved. First edition printed 2009 in Austrli. A ctlogue record for this book is vilble from 3P Lerning Ltd. ISBN 978-1-921860-17-1 Ownership of
More informationThe Math Learning Center PO Box 12929, Salem, Oregon Math Learning Center
Resource Overview Quntile Mesure: Skill or Concept: 300Q Model the concept of ddition for sums to 10. (QT N 36) Model the concept of sutrction using numers less thn or equl to 10. (QT N 37) Write ddition
More informationPolar Coordinates. July 30, 2014
Polr Coordintes July 3, 4 Sometimes it is more helpful to look t point in the xy-plne not in terms of how fr it is horizontlly nd verticlly (this would men looking t the Crtesin, or rectngulr, coordintes
More informationGRADE SECOND EDITION HOME CONNECTIONS ANSWER KEY
HOME CONNECTIONS SECOND EDITION ANSWER KEY GRADE 4 Bridges in Mthemtics Second Edition Grde 4 Home Connections Volumes 1 & 2 The Bridges in Mthemtics Grde 4 pckge consists of: Bridges in Mthemtics Grde
More informationMisty. Sudnow Dot Songs
Sudnow Dot Songs isty T The Dot Song is nottionl system tht depicts voiced chords in wy where the non-music reder cn find these firly redily. But the Dot Song is not intended be red, not s sight reder
More informationPatterns and Relationships
Series Techer Ptterns nd Reltionships opyright 009 3P Lerning. All rights reserved. First edition printed 009 in Austrli. A ctlogue record for this ook is ville from 3P Lerning Ltd. ISBN 978-1-91860-3-4
More informationAbacaba-Dabacaba! by Michael Naylor Western Washington University
Abcb-Dbcb! by Michel Nylor Western Wshington University The Abcb structure shows up in n mzing vriety of plces. This rticle explores 10 surprising ides which ll shre this pttern, pth tht will tke us through
More informationSpotted at APA. Top Points this week. Spring f ro. Year 7. Year 8. Year 9. Year 10. Year 11. Student Newsletter ~
Spring 2017 Top Points this week Yer 7 ly l x Mo Ale Yer 8 ict is Le w ed Be n Yer 9 sh er Ele Du ej on e Yer 10 Yer 11 ri em Me Another very busy week in the cdemy hs just gone by s we hd our APA World
More informationSECOND EDITION HOME CONNECTIONS GRADE
SECOND EDITION HOME COECTIONS GRADE 4 Bridges in Mthemtics Second Edition Grde 4 Home Connections Volumes 1 & 2 The Bridges in Mthemtics Grde 4 pckge consists of: Bridges in Mthemtics Grde 4 Techers Guide
More informationHave u Herd? Herd is the Word. join. toolkit. COOL WAYS to TALK ABOUT BOOKS WITH YOUR
Hve u Herd? Herd is the Word join Th to K nks Wel ir from Libr lingto comin ry L n b g brilli up with for The nt nme the Word o Herd f! toolkit COOL WAYS to TALK ABOUT BOOKS WITH YOUR your friends for
More informationChallenge! 1 Warm-up. 2 Conversation. Language box. a Discuss the pictures with a partner.
Focus Grmmr Vocbulry Strtegy tlking bout wishes nd possibilities second conditionl I wish + simple pst verbs nd definitions moving to new country showing surprise 1 Wrm-up Discuss the pictures with prtner.
More informationSECOND EDITION HOME CONNECTIONS GRADE
SECOND EDITION HOME CONNECTIONS GRADE 5 Bridges in Mthemtics Second Edition Grde 5 Home Connections Volumes & 2 The Bridges in Mthemtics Grde 5 pckge consists of: Bridges in Mthemtics Grde 5 Techers Guide
More informationSpiral Tilings with C-curves
Spirl Tilings with -curves Using ombintorics to Augment Trdition hris K. Plmer 19 North Albny Avenue hicgo, Illinois, 0 chris@shdowfolds.com www.shdowfolds.com Abstrct Spirl tilings used by rtisns through
More informationKirchhoff s Rules. Kirchhoff s Laws. Kirchhoff s Rules. Kirchhoff s Laws. Practice. Understanding SPH4UW. Kirchhoff s Voltage Rule (KVR):
SPH4UW Kirchhoff s ules Kirchhoff s oltge ule (K): Sum of voltge drops round loop is zero. Kirchhoff s Lws Kirchhoff s Current ule (KC): Current going in equls current coming out. Kirchhoff s ules etween
More informationExample. Check that the Jacobian of the transformation to spherical coordinates is
lss, given on Feb 3, 2, for Mth 3, Winter 2 Recll tht the fctor which ppers in chnge of vrible formul when integrting is the Jcobin, which is the determinnt of mtrix of first order prtil derivtives. Exmple.
More informationHow to Build Wealth Like Warren Buffett.
Your FREE gift for ordering How to Build Welth Like Wrren Buffett The video ABC-TV clled lively, informtive, nd lot of fun. You cn t help but get swept up by the enthusism of this rewrding film. Don t
More informationECE 274 Digital Logic Fall 2009 Digital Design
igitl Logic ll igitl esign MW -:PM, IL Romn Lysecky, rlysecky@ece.rizon.edu http://www.ece.rizon.edu/~ece hpter : Introduction Slides to ccompny the textbook igitl esign, irst dition, by rnk Vhid, John
More informationSECOND EDITION HOME CONNECTIONS ANSWER KEY GRADE
SECOND EDITION HOME CONNECTIONS ANSWER KEY GRADE 5 Bridges in Mthemtics Second Edition Grde 5 Home Connections Volumes & 2 The Bridges in Mthemtics Grde 5 pckge consists of: Bridges in Mthemtics Grde 5
More informationUnit 1: Chapter 4 Roots & Powers
Unit 1: Chpter 4 Roots & Powers Big Ides Any number tht cn be written s the frction mm, nn 0, where m nd n re integers, is nn rtionl. Eponents cn be used to represent roots nd reciprocls of rtionl numbers.
More informationMETHOD OF LOCATION USING SIGNALS OF UNKNOWN ORIGIN. Inventor: Brian L. Baskin
METHOD OF LOCATION USING SIGNALS OF UNKNOWN ORIGIN Inventor: Brin L. Bskin 1 ABSTRACT The present invention encompsses method of loction comprising: using plurlity of signl trnsceivers to receive one or
More informationMONOCHRONICLE STRAIGHT
UPDATED 09-2010 HYDROCARBON Hydrocrbon is poncho-style cowl in bulky-weight yrn, worked in the round. It ws designed to be s prcticl s it is stylish, with shping tht covers the neck nd shoulders nd the
More informationCHAPTER 2 LITERATURE STUDY
CHAPTER LITERATURE STUDY. Introduction Multipliction involves two bsic opertions: the genertion of the prtil products nd their ccumultion. Therefore, there re two possible wys to speed up the multipliction:
More informationPatterns and Algebra
Student Book Series D Mthletis Instnt Workooks Copyright Series D Contents Topi Ptterns nd funtions identifying nd reting ptterns skip ounting ompleting nd desriing ptterns numer ptterns in tles growing
More informationApplication Note. Differential Amplifier
Appliction Note AN367 Differentil Amplifier Author: Dve n Ess Associted Project: Yes Associted Prt Fmily: CY8C9x66, CY8C7x43, CY8C4x3A PSoC Designer ersion: 4. SP3 Abstrct For mny sensing pplictions, desirble
More informationAddition Mission: Facts Practice
Addition Mission: Fcts Prctice ++ Tble of Contents Addition Mission: Fcts Prctice Mth Counting Apple Mth Hippity Hop Crunchy Celery Addition Superstr Cherry Mth At the Librry Mth Sld -0 Sunny Summer Mth
More informationTheme: Don t get mad. Learn mod.
FERURY When 1 is divided by 5, the reminder is. nother wy to sy this is opyright 015 The Ntionl ouncil of Techers of Mthemtics, Inc. www.nctm.org. ll rights reserved. This mteril my not be copied or distributed
More informationSTUDENT CODEBOOK WAVE 1. NOTE: All variables that need to be reverse-coded are already reverse-coded in the data files STUDENT QUESTIONNAIRE
Blue text indictes vrible lbels/nmes Red text indictes dt vlues Green text indictes nmes of scles nd summry vribles Pink text indictes notes STUDENT CODEBOOK WAVE NOTE: All vribles tht need to be reverse-coded
More informationGeometric quantities for polar curves
Roerto s Notes on Integrl Clculus Chpter 5: Bsic pplictions of integrtion Section 10 Geometric quntities for polr curves Wht you need to know lredy: How to use integrls to compute res nd lengths of regions
More informationSamantha s Strategies page 1 of 2
Unit 1 Module 2 Session 3 Smnth s Strtegies pge 1 of 2 Smnth hs been working with vriety of multiplition strtegies. 1 Write n expression to desribe eh of the sttements Smnth mde. To solve 18 20, I find
More informationSOLVING TRIANGLES USING THE SINE AND COSINE RULES
Mthemtics Revision Guides - Solving Generl Tringles - Sine nd Cosine Rules Pge 1 of 17 M.K. HOME TUITION Mthemtics Revision Guides Level: GCSE Higher Tier SOLVING TRIANGLES USING THE SINE AND COSINE RULES
More informationEQ: What are the similarities and differences between matrices and real numbers?
Unit 4 Lesson 1 Essentil Question Stndrds Objectives Vocbulry Mtrices Mtrix Opertions Wht re the similrities nd differences between mtrices nd rel numbers? M.ALGII.2.4 Unit 4: Lesson 1 Describe how you
More information1 tray of toffee 1 bar of toffee. 10 In the decimal number, 0 7, the 7 refers to 7 tenths or
Chpter 3 Deciml Numers Do you know wht DECIMAL is? In chpter, we delt with units, s, 0 s nd 00 s. When you tke single unit nd divide it into (or 0 or 00) its, wht we then hve re deciml frctions of whole
More informationSPECIAL EDITION. Spring 2012 Ezine. where crafty is contagious
Spring 2012 Ezine SPECIAL EDITION www.clubchiccircle.com where crfty is contgious shmrock sttionery It is so esy to mke these festive homemde crds! Mke homemde stmp from the end of n pencil erser. With
More informationCS 135: Computer Architecture I. Boolean Algebra. Basic Logic Gates
Bsic Logic Gtes : Computer Architecture I Boolen Algebr Instructor: Prof. Bhgi Nrhri Dept. of Computer Science Course URL: www.ses.gwu.edu/~bhgiweb/cs35/ Digitl Logic Circuits We sw how we cn build the
More informationTriangles and parallelograms of equal area in an ellipse
1 Tringles nd prllelogrms of equl re in n ellipse Roert Buonpstore nd Thoms J Osler Mthemtics Deprtment RownUniversity Glssoro, NJ 0808 USA uonp0@studentsrownedu osler@rownedu Introduction In the pper
More information9.4. ; 65. A family of curves has polar equations. ; 66. The astronomer Giovanni Cassini ( ) studied the family of curves with polar equations
54 CHAPTER 9 PARAMETRIC EQUATINS AND PLAR CRDINATES 49. r, 5. r sin 3, 5 54 Find the points on the given curve where the tngent line is horizontl or verticl. 5. r 3 cos 5. r e 53. r cos 54. r sin 55. Show
More informationModule 9. DC Machines. Version 2 EE IIT, Kharagpur
Module 9 DC Mchines Version EE IIT, Khrgpur esson 40 osses, Efficiency nd Testing of D.C. Mchines Version EE IIT, Khrgpur Contents 40 osses, efficiency nd testing of D.C. mchines (esson-40) 4 40.1 Gols
More informationLECTURE 9: QUADRATIC RESIDUES AND THE LAW OF QUADRATIC RECIPROCITY
LECTURE 9: QUADRATIC RESIDUES AND THE LAW OF QUADRATIC RECIPROCITY 1. Bsic roerties of qudrtic residues We now investigte residues with secil roerties of lgebric tye. Definition 1.1. (i) When (, m) 1 nd
More informationABB STOTZ-KONTAKT. ABB i-bus EIB Current Module SM/S Intelligent Installation Systems. User Manual SM/S In = 16 A AC Un = 230 V AC
User Mnul ntelligent nstlltion Systems A B 1 2 3 4 5 6 7 8 30 ma 30 ma n = AC Un = 230 V AC 30 ma 9 10 11 12 C ABB STOTZ-KONTAKT Appliction Softwre Current Vlue Threshold/1 Contents Pge 1 Device Chrcteristics...
More informationAquauno Select MINUTES. (duration) FREQUENCY LED. OFF 8h AQUAUNO SELECT 5 MIN FREQUENCY. the timer is being programmed;
Aquuno Select Pg. INSTALLATION. Attch the timer to cold wter tp, following these simple instructions. Do not instll the timer in pit or vlve ox, elow ground level or indoors. Do not use the timer with
More informationExercise 1-1. The Sine Wave EXERCISE OBJECTIVE DISCUSSION OUTLINE. Relationship between a rotating phasor and a sine wave DISCUSSION
Exercise 1-1 The Sine Wve EXERCISE OBJECTIVE When you hve completed this exercise, you will be fmilir with the notion of sine wve nd how it cn be expressed s phsor rotting round the center of circle. You
More informationClick Here to BEGIN: Independent Agent Contracting Link
LOA Guide : Getting Contrcted with AllWell Centene Medicre Advntge This guide is for ll gents who ssign commissions to n gency. You will NOT need to provide ny gency informtion in this contrcting; s ll
More informationFirst Round Solutions Grades 4, 5, and 6
First Round Solutions Grdes 4, 5, nd 1) There re four bsic rectngles not mde up of smller ones There re three more rectngles mde up of two smller ones ech, two rectngles mde up of three smller ones ech,
More informationThe Discussion of this exercise covers the following points:
Exercise 4 Bttery Chrging Methods EXERCISE OBJECTIVE When you hve completed this exercise, you will be fmilir with the different chrging methods nd chrge-control techniques commonly used when chrging Ni-MI
More informationArduino for Model Railroaders
Steve Mssikker Arduino for Model Rilroders Ornge Book Protocol 2 Full Description November 28 Tble of contents Dontors Documenttion Kit V.4-8 Pge 2 I wnt to tke the time to sincerely thnk you for your
More informationExperiment 3: Non-Ideal Operational Amplifiers
Experiment 3: Non-Idel Opertionl Amplifiers Fll 2009 Equivlent Circuits The bsic ssumptions for n idel opertionl mplifier re n infinite differentil gin ( d ), n infinite input resistnce (R i ), zero output
More informationECE 274 Digital Logic
ECE - Digitl Logic (Textbook - Required) ECE Digitl Logic Instructor: Romn Lysecky, rlysecky@ece.rizon.edu Office Hours: TBA, ECE F Lecture: MWF :-: PM, ILC Course Website: http://www.ece.rizon.edu/~ece/
More informationSequential Logic (2) Synchronous vs Asynchronous Sequential Circuit. Clock Signal. Synchronous Sequential Circuits. FSM Overview 9/10/12
9//2 Sequentil (2) ENGG5 st Semester, 22 Dr. Hden So Deprtment of Electricl nd Electronic Engineering http://www.eee.hku.hk/~engg5 Snchronous vs Asnchronous Sequentil Circuit This Course snchronous Sequentil
More informationFP2 POLAR COORDINATES: PAST QUESTIONS
FP POLAR COORDINATES: PAST QUESTIONS. The curve C hs polr eqution r = cosθ, () Sketch the curve C. () (b) Find the polr coordintes of the points where tngents to C re prllel to the initil line. (6) (c)
More informationAlgorithms for Memory Hierarchies Lecture 14
Algorithms for emory Hierrchies Lecture 4 Lecturer: Nodri Sitchinv Scribe: ichel Hmnn Prllelism nd Cche Obliviousness The combintion of prllelism nd cche obliviousness is n ongoing topic of reserch, in
More informationTopic 20: Huffman Coding
Topic 0: Huffmn Coding The uthor should gze t Noh, nd... lern, s they did in the Ark, to crowd gret del of mtter into very smll compss. Sydney Smith, dinburgh Review Agend ncoding Compression Huffmn Coding
More informationRegular languages can be expressed as regular expressions.
Regulr lnguges cn e expressed s regulr expressions. A generl nondeterministic finite utomton (GNFA) is kind of NFA such tht: There is unique strt stte nd is unique ccept stte. Every pir of nodes re connected
More informationCAL. NX15 DUO-DISPLAY QUARTZ
L. NX15 UO-ISPLY QURTZ l nlogue time disply l igitl time nd clendr l hronogrph l Tchymeter l t recll function l lrm l Illuminting light (Electroluminescent pnel) ENGLISH Illuminting light (TIME/LENR mode
More informationSection 17.2: Line Integrals. 1 Objectives. 2 Assignments. 3 Maple Commands. 1. Compute line integrals in IR 2 and IR Read Section 17.
Section 7.: Line Integrls Objectives. ompute line integrls in IR nd IR 3. Assignments. Red Section 7.. Problems:,5,9,,3,7,,4 3. hllenge: 6,3,37 4. Red Section 7.3 3 Mple ommnds Mple cn ctully evlute line
More informationMulti-beam antennas in a broadband wireless access system
Multi-em ntenns in rodnd wireless ccess system Ulrik Engström, Mrtin Johnsson, nders Derneryd nd jörn Johnnisson ntenn Reserch Center Ericsson Reserch Ericsson SE-4 84 Mölndl Sweden E-mil: ulrik.engstrom@ericsson.com,
More informationExperiment 3: Non-Ideal Operational Amplifiers
Experiment 3: Non-Idel Opertionl Amplifiers 9/11/06 Equivlent Circuits The bsic ssumptions for n idel opertionl mplifier re n infinite differentil gin ( d ), n infinite input resistnce (R i ), zero output
More informationProbability and Statistics P(A) Mathletics Instant Workbooks. Copyright
Proility nd Sttistis Student Book - Series K- P(A) Mthletis Instnt Workooks Copyright Student Book - Series K Contents Topis Topi - Review of simple proility Topi - Tree digrms Topi - Proility trees Topi
More informationShuli s Math Problem Solving Column
Shuli s Mth Problem Solvig Colum Volume, Issue Jue, 9 Edited d Authored by Shuli Sog Colordo Sprigs, Colordo shuli_sog@yhoocom Cotets Mth Trick: Metl Clcultio: b cd Mth Competitio Skill: Divisibility by
More informationECE 274 Digital Logic. Digital Design. Datapath Components Shifters, Comparators, Counters, Multipliers Digital Design
ECE 27 Digitl Logic Shifters, Comprtors, Counters, Multipliers Digitl Design..7 Digitl Design Chpter : Slides to ccompny the textbook Digitl Design, First Edition, by Frnk Vhid, John Wiley nd Sons Publishers,
More informationMATH 118 PROBLEM SET 6
MATH 118 PROBLEM SET 6 WASEEM LUTFI, GABRIEL MATSON, AND AMY PIRCHER Section 1 #16: Show tht if is qudrtic residue modulo m, nd b 1 (mod m, then b is lso qudrtic residue Then rove tht the roduct of the
More informationMAXIMUM FLOWS IN FUZZY NETWORKS WITH FUNNEL-SHAPED NODES
MAXIMUM FLOWS IN FUZZY NETWORKS WITH FUNNEL-SHAPED NODES Romn V. Tyshchuk Informtion Systems Deprtment, AMI corportion, Donetsk, Ukrine E-mil: rt_science@hotmil.com 1 INTRODUCTION During the considertion
More informationUnderstanding Basic Analog Ideal Op Amps
Appliction Report SLAA068A - April 2000 Understnding Bsic Anlog Idel Op Amps Ron Mncini Mixed Signl Products ABSTRACT This ppliction report develops the equtions for the idel opertionl mplifier (op mp).
More informationDomination and Independence on Square Chessboard
Engineering nd Technology Journl Vol. 5, Prt, No. 1, 017 A.A. Omrn Deprtment of Mthemtics, College of Eduction for Pure Science, University of bylon, bylon, Irq pure.hmed.omrn@uobby lon.edu.iq Domintion
More informationSection 16.3 Double Integrals over General Regions
Section 6.3 Double Integrls over Generl egions Not ever region is rectngle In the lst two sections we considered the problem of integrting function of two vribles over rectngle. This sitution however is
More informationLecture 20. Intro to line integrals. Dan Nichols MATH 233, Spring 2018 University of Massachusetts.
Lecture 2 Intro to line integrls Dn Nichols nichols@mth.umss.edu MATH 233, Spring 218 University of Msschusetts April 12, 218 (2) onservtive vector fields We wnt to determine if F P (x, y), Q(x, y) is
More informationOperation Manual. Addendum. Embroidery Machine. Product Code: 884-T13
Emroidery Mchine Opertion Mnul Addendum Product Code: 884-T13 Be sure to red this document efore using the mchine. We recommend tht you keep this document nery for future reference. ABOUT THIS MANUAL ABOUT
More informationCS2204 DIGITAL LOGIC & STATE MACHINE DESIGN fall 2008
CS224 DIGITAL LOGIC & STATE MACHINE DESIGN fll 28 STAND ALONE XILINX PROJECT 2-TO- MULTIPLEXER. Gols : Lern how to develop stnd lone 2-to- multiplexer () Xilinx project during which the following re introduced
More informationFitting & User Instructions
Issue 03 Alexnder Universl Furniture Risers Note: These frmes require the ddition of n ttchment. (See pges 4 - ) Bse Frme Mrk Bse Frme Mrk Fitting & User Instructions These instructions pply to the rising
More information10.4 AREAS AND LENGTHS IN POLAR COORDINATES
65 CHAPTER PARAMETRIC EQUATINS AND PLAR CRDINATES.4 AREAS AND LENGTHS IN PLAR CRDINATES In this section we develop the formul for the re of region whose oundry is given y polr eqution. We need to use the
More informationComparing Fractions page 1 of 2 1 Color in the grid to show the fractions below. Each grid represents 1 whole. a 1 2 b 1. d 16
Unit 2 Moule Session 2 Compring Frtions pge of 2 Color in the gri to show the frtions below. Eh gri represents whole. 2 b 4 0 0 e 4 2 Use the pitures bove to help omplete eh omprison below using ,
More informationRedundancy Data Elimination Scheme Based on Stitching Technique in Image Senor Networks
Sensors & Trnsducers 204 by IFSA Publishing, S. L. http://www.sensorsportl.com Redundncy Dt Elimintion Scheme Bsed on Stitching Technique in Imge Senor Networks hunling Tng hongqing Technology nd Business
More informationPRACTICING LAW. law to write. school. Large goals, like writing a best-seller in two years, are inspiring, Morbid but tends
I willing Whtever But prticulrly if re write len like write, something on scribbling recretionl it will bd. estblish bout Then ctivities, chrcters, hbit. cn look becuse revisit, Once t work. rewrite, if
More informationYellowknife km Vancouver km NEL
ic tio n Yellowknife Pr e- Pu bl 1566 km 67.3 Vncouver 112 1870 km hpter 3 tio n cute Tringle Trigonometry ic LERNING GOLS You will be ble to develop your sptil sense by Pr e- Pu bl? Using the sine lw
More informationSynchronous Generator Line Synchronization
Synchronous Genertor Line Synchroniztion 1 Synchronous Genertor Line Synchroniztion Introduction One issue in power genertion is synchronous genertor strting. Typiclly, synchronous genertor is connected
More informationBirka B22: threaded in variation
Tblet Weving: 4-Hole Ptterns Stringcrfter The chrt, fining your wy roun the pttern, n suggestions for viking style bris for rnks in the Drchenwl Acemy of Defence You will nee: 22 crs 1 repet 88 Thres:
More informationTHE SONGWRITING CLUB SONGS
THE SOGWRITIG LUB SOGS LYRIS AD UKE HORDS BOOK OE It s time to sing with your friends nd fmily! Tips for plying re included re on the lst pge. You cn listen to the recordings (nd the kroke trcks) nd find
More informationBUBBLE BOBBLE 1 o C r t n o s l 2 t e G t g n i a t S r d e t 3 a B s c i Pl y a 4 a G m S e r c e n e 5 in r Sco g 6 ms e It 7 a P s s o w d r
BUBBLE BOBBLE 1 Control s 2 Gettin g Strted 3 Bsc i Ply 4 Gm e Sce r en 5 Scoring 6 Items 7 Psswor d 1 Control s Bsic Controls Move left pssword Jump Blow s Confirm/Puse/Resume Menu nd right/enter nvigtion
More informationABOUT THIS MANUAL ABOUT THIS MANUAL
ABOUT THIS MANUAL ABOUT THIS MANUAL This mnul provides detils on IQ Designer, which is ville with the upgrde. Mke sure tht the mchine hs een upgrded to the most recent version. When you find this icon
More informationarxiv: v1 [cs.cc] 29 Mar 2012
Solving Mhjong Solitire ords with peeking Michiel de Bondt rxiv:1203.6559v1 [cs.cc] 29 Mr 2012 Decemer 22, 2013 Astrct We first prove tht solving Mhjong Solitire ords with peeking is NPcomplete, even if
More informationCS2204 DIGITAL LOGIC & STATE MACHINE DESIGN SPRING 2005
CS2204 DIGITAL LOGIC & STATE MACHINE DESIGN SPRING 2005 EXPERIMENT 1 FUNDAMENTALS 1. GOALS : Lern how to develop cr lrm digitl circuit during which the following re introduced : CS2204 l fundmentls, nd
More informationOn the Description of Communications Between Software Components with UML
On the Description of Communictions Between Softwre Components with UML Zhiwei An Dennis Peters Fculty of Engineering nd Applied Science Memoril University of Newfoundlnd St. John s NL A1B 3X5 zhiwei@engr.mun.c
More information(1) Primary Trigonometric Ratios (SOH CAH TOA): Given a right triangle OPQ with acute angle, we have the following trig ratios: ADJ
Tringles nd Trigonometry Prepred y: S diyy Hendrikson Nme: Dte: Suppose we were sked to solve the following tringles: Notie tht eh tringle hs missing informtion, whih inludes side lengths nd ngles. When
More informationCardinal Fiber Co. Fine hand dyed yarns
Crdinl Fiber Co. Fine hnd dyed yrns Crdinl Fiber Compny Trunk Show SATURDAY MAY 5 1:00 TO 3:00 PM Frncofille nits hs new nme. ocl hnd dyer, B. Devn Steiner, is now crfting her beutiful yrns under the nme
More informationMini Mario & Friends: amiibo Challenge
Mrio & Friends: Chllenge 1 Importnt Informtion Bsic Informtion 2 Introduct ion 3 About Gme 4 Gettin g Strted 5 Sving nd Deleting Dt How to Ply 6 Level Mp 7 Plying Levels 8 Mi ni Toy Abilities 9 Objects/
More information& Y Connected resistors, Light emitting diode.
& Y Connected resistors, Light emitting diode. Experiment # 02 Ojectives: To get some hndson experience with the physicl instruments. To investigte the equivlent resistors, nd Y connected resistors, nd
More informationEngineer-to-Engineer Note
Engineer-to-Engineer Note EE-236 Technicl notes on using Anlog Devices DSPs, processors nd development tools Contct our technicl support t dsp.support@nlog.com nd t dsptools.support@nlog.com Or visit our
More informationAutomatic Heuristic Construction in a Complete General Game Player
Automtic Heuristic Construction in Complete Generl Gme Plyer Gregory Kuhlmnn, Kurt Dresner nd Peter Stone Deprtment of Computer Sciences, The University of Texs t Austin 1 University Sttion C0500, Austin,
More informationEE Controls Lab #2: Implementing State-Transition Logic on a PLC
Objective: EE 44 - Controls Lb #2: Implementing Stte-rnsition Logic on PLC ssuming tht speed is not of essence, PLC's cn be used to implement stte trnsition logic. he dvntge of using PLC over using hrdwre
More informationA Novel Back EMF Zero Crossing Detection of Brushless DC Motor Based on PWM
A ovel Bck EMF Zero Crossing Detection of Brushless DC Motor Bsed on PWM Zhu Bo-peng Wei Hi-feng School of Electricl nd Informtion, Jingsu niversity of Science nd Technology, Zhenjing 1003 Chin) Abstrct:
More informationElectronic Circuits I - Tutorial 03 Diode Applications I
Electronic Circuits I - Tutoril 03 Diode Applictions I -1 / 9 - T & F # Question 1 A diode cn conduct current in two directions with equl ese. F 2 When reverse-bised, diode idelly ppers s short. F 3 A
More informationHow To Play Against Stronger Players
How To Ply Aginst Stronger Plyers Ver.. jcs -NOV-00 Vol. : Illustrtive Teching Gmes SAKAI Michihru Professionl -Dn English Lnguge Go Super Book 00 Americn Go Assocition All rights reserved. Reproduction
More informationDigital Design. Sequential Logic Design -- Controllers. Copyright 2007 Frank Vahid
Digitl Design Sequentil Logic Design -- Controllers Slides to ccompny the tetook Digitl Design, First Edition, y, John Wiley nd Sons Pulishers, 27. http://www.ddvhid.com Copyright 27 Instructors of courses
More informationMEASURE THE CHARACTERISTIC CURVES RELEVANT TO AN NPN TRANSISTOR
Electricity Electronics Bipolr Trnsistors MEASURE THE HARATERISTI URVES RELEVANT TO AN NPN TRANSISTOR Mesure the input chrcteristic, i.e. the bse current IB s function of the bse emitter voltge UBE. Mesure
More informationINSTITUTE OF AERONAUTICAL ENGINEERING (Autonomous) Dundigal, Hyderabad
Hll Ticket No Question Pper Code: AEC009 INSTITUTE OF AERONAUTICAL ENGINEERING (Autonomous) Dundigl, Hyderd - 500 043 MODEL QUESTION PAPER Four Yer B.Tech V Semester End Exmintions, Novemer - 2018 Regultions:
More informationSynchronous Machine Parameter Measurement
Synchronous Mchine Prmeter Mesurement 1 Synchronous Mchine Prmeter Mesurement Introduction Wound field synchronous mchines re mostly used for power genertion but lso re well suited for motor pplictions
More information