Make Your Math Super Powered

Size: px
Start display at page:

Download "Make Your Math Super Powered"

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 Vicki Pettiross Mthemticin in Residence Zeno 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

Math Circles Finite Automata Question Sheet 3 (Solutions)

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 information

Student Book SERIES. Fractions. Name

Student 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 information

Student Book SERIES. Patterns and Algebra. Name

Student 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 information

SECOND EDITION STUDENT BOOK GRADE

SECOND 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 information

TRUMBULL PUBLIC SCHOOLS

TRUMBULL 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 information

Series. Teacher. Numbers

Series. 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 information

The Math Learning Center PO Box 12929, Salem, Oregon Math Learning Center

The 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 information

Polar Coordinates. July 30, 2014

Polar 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 information

GRADE SECOND EDITION HOME CONNECTIONS ANSWER KEY

GRADE 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 information

Misty. Sudnow Dot Songs

Misty. 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 information

Patterns and Relationships

Patterns 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 information

Abacaba-Dabacaba! by Michael Naylor Western Washington University

Abacaba-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 information

Spotted at APA. Top Points this week. Spring f ro. Year 7. Year 8. Year 9. Year 10. Year 11. Student Newsletter ~

Spotted 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 information

SECOND EDITION HOME CONNECTIONS GRADE

SECOND 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 information

Have u Herd? Herd is the Word. join. toolkit. COOL WAYS to TALK ABOUT BOOKS WITH YOUR

Have 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 information

Challenge! 1 Warm-up. 2 Conversation. Language box. a Discuss the pictures with a partner.

Challenge! 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 information

SECOND EDITION HOME CONNECTIONS GRADE

SECOND 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 information

Spiral Tilings with C-curves

Spiral 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 information

Kirchhoff s Rules. Kirchhoff s Laws. Kirchhoff s Rules. Kirchhoff s Laws. Practice. Understanding SPH4UW. Kirchhoff s Voltage Rule (KVR):

Kirchhoff 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 information

Example. Check that the Jacobian of the transformation to spherical coordinates is

Example. 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 information

How to Build Wealth Like Warren Buffett.

How 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 information

ECE 274 Digital Logic Fall 2009 Digital Design

ECE 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 information

SECOND EDITION HOME CONNECTIONS ANSWER KEY GRADE

SECOND 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 information

Unit 1: Chapter 4 Roots & Powers

Unit 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 information

METHOD OF LOCATION USING SIGNALS OF UNKNOWN ORIGIN. Inventor: Brian L. Baskin

METHOD 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 information

MONOCHRONICLE STRAIGHT

MONOCHRONICLE 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 information

CHAPTER 2 LITERATURE STUDY

CHAPTER 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 information

Patterns and Algebra

Patterns 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 information

Application Note. Differential Amplifier

Application 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 information

Addition Mission: Facts Practice

Addition 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 information

Theme: Don t get mad. Learn mod.

Theme: 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 information

STUDENT CODEBOOK WAVE 1. NOTE: All variables that need to be reverse-coded are already reverse-coded in the data files STUDENT QUESTIONNAIRE

STUDENT 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 information

Geometric quantities for polar curves

Geometric 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 information

Samantha s Strategies page 1 of 2

Samantha 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 information

SOLVING TRIANGLES USING THE SINE AND COSINE RULES

SOLVING 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 information

EQ: What are the similarities and differences between matrices and real numbers?

EQ: 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 information

1 tray of toffee 1 bar of toffee. 10 In the decimal number, 0 7, the 7 refers to 7 tenths or

1 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 information

SPECIAL EDITION. Spring 2012 Ezine. where crafty is contagious

SPECIAL 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 information

CS 135: Computer Architecture I. Boolean Algebra. Basic Logic Gates

CS 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 information

Triangles and parallelograms of equal area in an ellipse

Triangles 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 information

9.4. ; 65. A family of curves has polar equations. ; 66. The astronomer Giovanni Cassini ( ) studied the family of curves with polar equations

9.4. ; 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 information

Module 9. DC Machines. Version 2 EE IIT, Kharagpur

Module 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 information

LECTURE 9: QUADRATIC RESIDUES AND THE LAW OF QUADRATIC RECIPROCITY

LECTURE 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 information

ABB 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

ABB 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 information

Aquauno Select MINUTES. (duration) FREQUENCY LED. OFF 8h AQUAUNO SELECT 5 MIN FREQUENCY. the timer is being programmed;

Aquauno 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 information

Exercise 1-1. The Sine Wave EXERCISE OBJECTIVE DISCUSSION OUTLINE. Relationship between a rotating phasor and a sine wave DISCUSSION

Exercise 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 information

Click Here to BEGIN: Independent Agent Contracting Link

Click 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 information

First Round Solutions Grades 4, 5, and 6

First 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 information

The Discussion of this exercise covers the following points:

The 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 information

Arduino for Model Railroaders

Arduino 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 information

Experiment 3: Non-Ideal Operational Amplifiers

Experiment 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 information

ECE 274 Digital Logic

ECE 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 information

Sequential Logic (2) Synchronous vs Asynchronous Sequential Circuit. Clock Signal. Synchronous Sequential Circuits. FSM Overview 9/10/12

Sequential 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 information

FP2 POLAR COORDINATES: PAST QUESTIONS

FP2 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 information

Algorithms for Memory Hierarchies Lecture 14

Algorithms 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 information

Topic 20: Huffman Coding

Topic 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 information

Regular languages can be expressed as regular expressions.

Regular 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 information

CAL. NX15 DUO-DISPLAY QUARTZ

CAL. 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 information

Section 17.2: Line Integrals. 1 Objectives. 2 Assignments. 3 Maple Commands. 1. Compute line integrals in IR 2 and IR Read Section 17.

Section 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 information

Multi-beam antennas in a broadband wireless access system

Multi-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 information

Experiment 3: Non-Ideal Operational Amplifiers

Experiment 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 information

Probability and Statistics P(A) Mathletics Instant Workbooks. Copyright

Probability 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 information

Shuli s Math Problem Solving Column

Shuli 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 information

ECE 274 Digital Logic. Digital Design. Datapath Components Shifters, Comparators, Counters, Multipliers Digital Design

ECE 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 information

MATH 118 PROBLEM SET 6

MATH 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 information

MAXIMUM FLOWS IN FUZZY NETWORKS WITH FUNNEL-SHAPED NODES

MAXIMUM 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 information

Understanding Basic Analog Ideal Op Amps

Understanding 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 information

Domination and Independence on Square Chessboard

Domination 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 information

Section 16.3 Double Integrals over General Regions

Section 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 information

Lecture 20. Intro to line integrals. Dan Nichols MATH 233, Spring 2018 University of Massachusetts.

Lecture 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 information

Operation Manual. Addendum. Embroidery Machine. Product Code: 884-T13

Operation 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 information

CS2204 DIGITAL LOGIC & STATE MACHINE DESIGN fall 2008

CS2204 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 information

Fitting & User Instructions

Fitting & 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 information

10.4 AREAS AND LENGTHS IN POLAR COORDINATES

10.4 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 information

Comparing 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

Comparing 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 information

Redundancy Data Elimination Scheme Based on Stitching Technique in Image Senor Networks

Redundancy 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 information

PRACTICING LAW. law to write. school. Large goals, like writing a best-seller in two years, are inspiring, Morbid but tends

PRACTICING 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 information

Yellowknife km Vancouver km NEL

Yellowknife 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 information

Synchronous Generator Line Synchronization

Synchronous 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 information

Birka B22: threaded in variation

Birka 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 information

THE SONGWRITING CLUB SONGS

THE 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 information

BUBBLE 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 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 information

ABOUT THIS MANUAL ABOUT THIS MANUAL

ABOUT 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 information

arxiv: v1 [cs.cc] 29 Mar 2012

arxiv: 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 information

CS2204 DIGITAL LOGIC & STATE MACHINE DESIGN SPRING 2005

CS2204 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 information

On the Description of Communications Between Software Components with UML

On 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

(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 information

Cardinal Fiber Co. Fine hand dyed yarns

Cardinal 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 information

Mini Mario & Friends: amiibo Challenge

Mini 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. & 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 information

Engineer-to-Engineer Note

Engineer-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 information

Automatic Heuristic Construction in a Complete General Game Player

Automatic 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 information

EE Controls Lab #2: Implementing State-Transition Logic on a PLC

EE 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 information

A Novel Back EMF Zero Crossing Detection of Brushless DC Motor Based on PWM

A 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 information

Electronic Circuits I - Tutorial 03 Diode Applications I

Electronic 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 information

How To Play Against Stronger Players

How 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 information

Digital Design. Sequential Logic Design -- Controllers. Copyright 2007 Frank Vahid

Digital 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 information

MEASURE THE CHARACTERISTIC CURVES RELEVANT TO AN NPN TRANSISTOR

MEASURE 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 information

INSTITUTE OF AERONAUTICAL ENGINEERING (Autonomous) Dundigal, Hyderabad

INSTITUTE 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 information

Synchronous Machine Parameter Measurement

Synchronous 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