Student Book SERIES. Patterns and Algebra. Name


 Elisabeth Watson
 5 years ago
 Views:
Transcription
1 E Student Book Nme
2 Contents Series E Topic Ptterns nd functions (pp. ) identifying nd creting ptterns skip counting completing nd descriing ptterns predicting repeting ptterns predicting growing ptterns function mchines tht s my numer pply Dte completed Topic Equtions nd equivlence (pp. 3 ) understnding equivlence not equl to symol greter thn nd less thn lnced equtions using + nd using symols for unknowns fruit vlues solve mystery sncks solve Series Author: Nicol Herringer Copyright
3 Ptterns nd functions identifying nd creting ptterns Look round you, cn you see pttern? A pttern is n rrngement of shpes, numers or colours formed ccording to rule. Ptterns re everywhere, you cn find them in nture, rt, music nd even in dnce! Ptterns cn grow or repet depending on the rule. Recognising numer ptterns is n importnt prt of feeling confident in mths. In this topic we will look t different numer ptterns ut first let s look t shpe ptterns. Look t these repeting shpe ptterns. Drw the lst two shpes: c In these repeting shpe ptterns, drw the missing shpes: 3 Complete wht comes next in this growing pttern: E
4 Ptterns nd functions identifying nd creting ptterns 4 Look t these repeting shpe ptterns. Drw the next two shpes: c d e 5 If the ptterns (ove) continued, wht would the 0th shpe e on ech row: c d e 6 Write your nme y putting ech letter in the grid s repeting pttern. For exmple, if your nme is Ben, you would write: B E N B E N B E N B Which letter of your nme will e under the letter 3? How did you work this out? E
5 Ptterns nd functions skip counting There re mny skip counting ptterns to discover on hundred grid. Colour the skip counting pttern on ech hundred grid: Show the 4s pttern. Show the 3s nd 6s pttern. Shde the 3s nd circle the 6s c Show the s pttern d Shde the 9s pttern, then put circle round ll the numers 5 less thn numers ending in Complete these numer ptterns y looking for skip counting ptterns. c E 3
6 Ptterns nd functions skip counting 3 Colour the skip counting pttern for 3s up to 30. If you kept going on complete hundred grid, would 5 e coloured in? How cn you tell without using whole hundred grid? 4 Only 3 numers re shded in ech of the skip counting ptterns elow. Work out the pttern nd complete the shding: This shows skip counting pttern of: This shows skip counting pttern of: 5 Shde these sequences on the hundred grid: Sequence : strt t nd show skip counting pttern of. Sequence : strt t nd show skip counting pttern of E
7 Ptterns nd functions completing nd descriing ptterns So fr we hve looked t skip counting ptterns tht egin t zero. Here is skip counting pttern of 5s tht egins t 7. This pttern strts t 7. The rule is: dd Continue the pttern from the strting numer: c Add 0 Add 5 Sutrct Prctise counting ckwrds y 0 nd 00. Bckwrds y 0: Bckwrds y 00: c 583 c 00 3 Look crefully t these numer pttern grids. There re four rules: cross, down, nd long ech digonl E 5
8 Ptterns nd functions completing nd descriing ptterns 4 Figure out the missing numers in ech pttern nd write the rule Rule: Rule: c d Rule: Rule: Some numer ptterns cn e formed with two opertions ech time. For exmple: The rule is to multiply y nd dd 3 ech time. 5 Complete these numer ptterns, y following the rules written in the dimond shpes. Descrie the rule underneth x + 5 x + 5 x The rule is 6 Roll die to mke the strting numer. Continue the sequence y following the rule: Rule: + 4 Rule: + 3 c Rule: E
9 Ptterns nd functions predicting repeting ptterns When we use numer ptterns in tles, it cn help us to predict wht comes next. Look t the tle elow nd how we cn use it to predict the totl numer of sweets needed for ny numer of children t prty. This tle shows us tht sweet g contins 8 sweets nd gs contin 6 sweets. We cn see tht the rule for the pttern is to multiply the top row y 8 to get the ottom row ech time. Numer of sweet gs Numer of sweets To find out how mny sweets re in 0 gs, we don t need to extend the tle, we cn just pply the rule So, 0 gs contin 80 sweets. This helps us pln how mny sweets re needed for prty. Complete the tle for ech prolem: Tom receives $5 week pocket money s long s he does ll his chores. How much pocket money does Tom get fter 0 weeks? Weeks Pocket money 5 0 A flower hs 7 petls. How mny petls re there in unch of 0 flowers? Flowers Numer of petls 7 4 c A flg hs 6 strs. How mny strs re there on 0 flgs? Flgs Numer of strs 6 d At pizz prty, ech person ets 3 pieces of pizz. How mny pieces of pizz do 0 people et? Guests Pizz pieces 9 E 7
10 Ptterns nd functions predicting repeting ptterns Ech of these kids wrote the first 3 numers of skip counting pttern of 6, strting t different numers. Ech kid s sequence goes down the column. Imgine the sequence continues. Mel Brinn Brd Gen Jo Kte Who hd the numer 4 in their column? Who hd the numer 50 in their column? 3 Look t ech pttern of shpes nd complete the tle elow: Repet section Numer of circles Numer of tringles Show wht this entire sequence would look like with 0 repet sections: Look for the section tht repets. Wht is it mde up of? This is the rule. 8 E
11 Ptterns nd functions predicting growing ptterns Numer ptterns in tles cn help us with prolems like this. Mi is mking this sequence of shpes with mtchsticks nd wnts to know how mny she will need for 0 shpes. Shpe Shpe Shpe 3 Shpe numer Numer of mtchsticks To find out how mny mtchsticks re needed for 0 tringles, we don t need to extend the tle, we cn just pply the function rule: Numer of mtchsticks Shpe numer 3 Complete the tle for ech sequence of mtchstick shpes nd find the numer of mtchsticks needed for the 0th shpe. Shpe Shpe Shpe 3 Shpe numer Numer of mtchsticks 4 Shpe Shpe Shpe 3 Shpe numer Numer of mtchsticks 6 c Shpe Shpe Shpe 3 Shpe numer Numer of mtchsticks 7 E 9
12 Ptterns nd functions predicting growing ptterns Look t these growing ptterns. Complete the tle nd follow the rule to drw Picture 5: Picture Picture Picture 3 Picture 4 Picture 5 l l l l l l l l l l l l l l l l Picture numer Numer of dots Rule Picture numer Numer of dots Picture Picture Picture 3 Picture 4 Picture 5 Picture numer Numer of squres Rule Picture numer + Numer of squres How mny squres will Picture 8 hve? 0 E
13 Ptterns nd functions function mchines This is function mchine. Numers go in, hve the rule pplied, nd come out gin. IN 8 RULE: 3 OUT Look crefully t the numers going in these function mchines nd the numers coming out. Wht is the rule? IN 5 RULE: OUT 5 IN 4 RULE: OUT Wht numers will come out of these function mchines? IN 3 4 RULE: 8 OUT IN 4 48 RULE: 8 OUT Wht numers go in to these numer function mchines? IN RULE: 0 OUT 36 5 IN RULE: + 0 OUT E
14 Tht s my numer! pply Getting redy This is gme for plyers. You will need some trnsprent counters ech in different colours nd dice. copy Wht to do Plyer rolls dice. The first die shows the strting numer nd the second die shows the skip counting pttern. Plyer writes down the first 4 numers of their sequence. For exmple, if Plyer rolls nd 6, the strting numer is nd the rule is + 6. So Plyer writes, 8, 4, 0 nd chooses one of these numers to cover with their counter. Plyer hs their turn, following the sme steps s ove. They choose numer to cover with their counter. If the numer is lredy covered, they cn t put down counter. Continue with Plyer nd Plyer rolling gin until there is winner. The im is to e the first to hve their counters in group of 4 ( ) E
15 Equtions nd equivlence understnding equivlence Look t these lnced scles. On one side there is the sum nd on the other side there is totl of 7 tringles. This mkes sense ecuse it shows the eqution Eqution is nother word for sum. With equtions, oth sides must e equl Blnce ech set of scles y writing numer in the ox tht is equivlent to the totl numer of shpes. Then write the mtching eqution Blnce ech set of scles y writing numer in the ox. Then write the mtching eqution E 3
16 Equtions nd equivlence not equl to symol When two sides of n eqution re not lnced, it mens tht they re not equl. To show tht n eqution is not equl, we use the not equls symol like this: Write numers in ech ox to show equtions tht re not lnced: c 35 d Complete the equtions elow y using only the numers in the crds. Look crefully to see whether it is n or symol c + 35 d E
17 Equtions nd equivlence greter thn nd less thn When two sides of n eqution re not lnced, one side is greter thn the other. We cn show this with greter thn (>) nd less thn (<) symols like this: < > 5 Complete the equtions elow y using only the numers in the crds. Look crefully to see whether it is n > or < symol. The first one hs een done for you < 50 + > c d > + < Alex is older thn Gilly ut younger thn Tylor. Their ges could e descried s: 6 > > 9 How old is ech person? Alex is Gilly is Tylor is E 5
18 Equtions nd equivlence greter thn nd less thn 3 Complete the numer sentences elow y writing numers in the lnk oxes: 38 + > < 00 c > d 500 < e + > 000 f + < 000 g + > h + < 4 Sm nd Will s mother is trying to work out how much to udget for her children s dily lunch orders. She is wondering if $50 is enough for When you dd these mounts, look for onds to $. For exmple: $.40 + $.60 (40c + 60c) + $ + $ $3 oth Sm nd Will. Add up the cost of ech child s lunch order for the week nd then complete mtching numer sentence. Sm s lunch orders Mondy Tuesdy Wednesdy Thursdy Fridy $4.60 $5.40 $7.30 $3.70 $6 Will s lunch orders Mondy Tuesdy Wednesdy Thursdy Fridy $5.0 $3.80 $5.90 $6.0 $5 + $50 Sm s totl Will s totl 6 E
19 Equtions nd equivlence lnced equtions using + nd There re different equtions we could write for one set of lnced scles Work out the vlues of the symols in ech prolem: c d E 7
20 Equtions nd equivlence lnced equtions using + nd Find the vlues of these symols: If is 5, wht is the vlue of? 5 5 If is 8, wht is the vlue of? Find the vlues of oth symols from the clues: If oth sides re equl to 36, wht is the vlue of ech symol? 3 If oth sides re equl to 0, wht is the vlue of ech symol? E
21 Equtions nd equivlence using symols for unknowns Write n eqution for these word prolems. Write n eqution using s for the unknown numer. Bec collects stickers. She hs 48 umper stickers, glitter stickers nd 5 smiley fce stickers. How mny stickers does Bec hve in her collection? s s Chrlie sved $5 week of his pocket money over 8 weeks ut then spent $5. How much did Chrlie hve t the end of 8 weeks? s c people re specttors t footll mtch. 700 re there to support Tem A while the rest re there to support Tem B. How mny specttors support Tem B? s In this tringle, the numers on the sides re the totls. So Work out the vlue of the other symols: 0 E 9
22 Fruit vlues solve Wht to do Work out the vlue of ech type of fruit: E
23 Mystery sncks solve Wht to do Work out wht is the snck ox from the clues. Clue Clue Hint: Keep the scle lnced y dding Crunchy Os to ech side in Clue. Then work out wht else pckets of chips is equl to. From there, you cn work out your nswer. E
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 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 informationMath 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 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 9781921860171 Ownership of
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 97819186034
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 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 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 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 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 informationAbacabaDabacaba! by Michael Naylor Western Washington University
AbcbDbcb! 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 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 informationSAMPLE. End of term: TEST A. Year 4. Name Class Date. Complete the missing numbers in the sequences below.
End of term: TEST A You will need penil nd ruler. Yer Nme Clss Dte 2 Complete the missing numers in the sequenes elow. 50 25 00 75 8 30 3 28 2 9 Put irle round two of the shpes elow whih hve 3 shded. 3
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 informationc The scaffold pole EL is 8 m long. How far does it extend beyond the line JK?
3 7. 7.2 Trigonometry in three dimensions Questions re trgeted t the grdes indicted The digrm shows the ck of truck used to crry scffold poles. L K G m J F C 0.8 m H E 3 m D 6.5 m Use Pythgors Theorem
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 informationMake Your Math Super Powered
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/lowcost gmes nd puzzles tht you cn esily bring into your
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 informationMONOCHRONICLE STRAIGHT
UPDATED 092010 HYDROCARBON Hydrocrbon is ponchostyle cowl in bulkyweight 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 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 informationSo Many Possibilities page 1 of 2
Otober Solving Problems Ativities & So Mny Possibilities pge of Use the blnk spe to solve eh problem. Show ll your work inluding numbers, words, or lbeled skethes. Write omplete sentene below your work
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 informationMultiplication and Division
Series Student Multiplication and Division My name E Copyright 009 P Learning. All rights reserved. First edition printed 009 in Australia. A catalogue record for this book is available from P Learning
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 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 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 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 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 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 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 informationEE Controls Lab #2: Implementing StateTransition Logic on a PLC
Objective: EE 44  Controls Lb #2: Implementing Stternsition 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 informationSolutions to exercise 1 in ETS052 Computer Communication
Solutions to exercise in TS52 Computer Communiction 23 Septemer, 23 If it occupies millisecond = 3 seconds, then second is occupied y 3 = 3 its = kps. kps If it occupies 2 microseconds = 2 6 seconds, then
More informationHomework #1 due Monday at 6pm. White drop box in Student Lounge on the second floor of Cory. Tuesday labs cancelled next week
Announcements Homework #1 due Mondy t 6pm White drop ox in Student Lounge on the second floor of Cory Tuesdy ls cncelled next week Attend your other l slot Books on reserve in Bechtel Hmley, 2 nd nd 3
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 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 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 informationAlgebra Practice. Dr. Barbara Sandall, Ed.D., and Travis Olson, M.S.
By Dr. Brr Sndll, Ed.D., Dr. Melfried Olson, Ed.D., nd Trvis Olson, M.S. COPYRIGHT 2006 Mrk Twin Medi, Inc. ISBN 9781580377546 Printing No. 404042EB Mrk Twin Medi, Inc., Pulishers Distriuted y CrsonDellos
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 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 informationBirka B22: threaded in variation
Tblet Weving: 4Hole 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 informationTranslate and Classify Conic Sections
TEKS 9.6 A.5.A, A.5.B, A.5.D, A.5.E Trnslte nd Clssif Conic Sections Before You grphed nd wrote equtions of conic sections. Now You will trnslte conic sections. Wh? So ou cn model motion, s in E. 49. Ke
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 informationSection 6.1 Law of Sines. Notes. Oblique Triangles  triangles that have no right angles. A c. A is acute. A is obtuse
Setion 6.1 Lw of Sines Notes. Olique Tringles  tringles tht hve no right ngles h is ute h is otuse Lw of Sines  If is tringle with sides,, nd, then sin = sin = sin or sin = sin = sin The miguous se (SS)
More informationSpiral Tilings with Ccurves
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 informationmac profile Configuration Guide Adobe Photoshop CS/CC Sawgrass Virtuoso SG400/SG800 Macintosh v
mc profile Mcintosh 10.510.10 Configurtion Guide Adoe Photoshop CS/CC Swgrss Virtuoso SG400/SG800 v20150427 Configurtion Guide  Photoshop CS/CC Swgrss SG400/800 Before proceeding, ensure the correct
More informationPolar Coordinates. July 30, 2014
Polr Coordintes July 3, 4 Sometimes it is more helpful to look t point in the xyplne not in terms of how fr it is horizontlly nd verticlly (this would men looking t the Crtesin, or rectngulr, coordintes
More informationSeven Sisters. Visit for video tutorials
Seven Sisters This imge is from www.quiltstudy.org. Plese visit this website for more informtion on Seven Sisters quilt ptterns. Visit www.blocloc.com for video tutorils 1 The Seven Sisters design cn be
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 informationOperation Manual. Addendum. Embroidery Machine. Product Code: 884T13
Emroidery Mchine Opertion Mnul Addendum Product Code: 884T13 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 informationREVIEW QUESTIONS TOPIC 5 TRIGONOMETRY I FLUENCY
TOPIC 5 TRIGONOMETRY I REVIEW QUESTIONS FLUENCY The most urte mesure for the length of the third side in the tringle elow is: A 4.83 m B 23.3 m C 3.94 m D 2330 mm E 4826 mm 2 Wht is the vlue of x in this
More informationExperiment 8 Series DC Motor (II)
Ojectives To control the speed of loded series dc motor y chnging rmture voltge. To control the speed of loded series dc motor y dding resistnce in prllel with the rmture circuit. To control the speed
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 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 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 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 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 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 informationDefining the Rational Numbers
MATH10 College Mthemtis  Slide Set 2 1. Rtionl Numers 1. Define the rtionl numers. 2. Redue rtionl numers.. Convert etween mixed numers nd improper frtions. 4. Express rtionl numers s deimls.. Express
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 informationMultiplication and Division
D Student Book Name Series D Contents Topic 1 Introducing multiplication (pp. 1 7) groups of 5 5 times table 10 times table multiplying any number by 10 multiplying numbers by 0 and 1 Date completed Topic
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 informationREVIEW, pages
REVIEW, pges 510 515 6.1 1. Point P(10, 4) is on the terminl rm of n ngle u in stndrd position. ) Determine the distnce of P from the origin. The distnce of P from the origin is r. r x 2 y 2 Substitute:
More informationMisty. Sudnow Dot Songs
Sudnow Dot Songs isty T The Dot Song is nottionl system tht depicts voiced chords in wy where the nonmusic reder cn find these firly redily. But the Dot Song is not intended be red, not s sight reder
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 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 informationSkills Practice Skills Practice for Lesson 4.1
Skills Prctice Skills Prctice for Lesson.1 Nme Dte Tiling Bthroom Wll Simplifying Squre Root Expressions Vocbulry Mtch ech definition to its corresponding term. 1. n expression tht involves root. rdicnd
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 informationChallenge! 1 Warmup. 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 Wrmup Discuss the pictures with prtner.
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 information(CATALYST GROUP) B"sic Electric"l Engineering
(CATALYST GROUP) B"sic Electric"l Engineering 1. Kirchhoff s current l"w st"tes th"t (") net current flow "t the junction is positive (b) Hebr"ic sum of the currents meeting "t the junction is zero (c)
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 informationExercise 11. The Sine Wave EXERCISE OBJECTIVE DISCUSSION OUTLINE. Relationship between a rotating phasor and a sine wave DISCUSSION
Exercise 11 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 informationAddition and Subtraction
D Student Book Name Series D Contents Topic 1 Addition mental strategies (pp. 114) look for a ten look for patterns doubles and near doubles bridge to ten jump strategy split strategy version 1 split strategy
More informationDirect Current Circuits. Chapter Outline Electromotive Force 28.2 Resistors in Series and in Parallel 28.3 Kirchhoff s Rules 28.
P U Z Z L E R If ll these pplinces were operting t one time, circuit reker would proly e tripped, preventing potentilly dngerous sitution. Wht cuses circuit reker to trip when too mny electricl devices
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 informationPROGRAMMING MANUAL MTMA/01 MTMV/01 FB00329EN
RMMING MNUL MTM/01 MTMV/01 FB00329EN Generl precutions Red the instructions crefully efore eginning the instlltion nd crry out the ctions s specified y the mnufcturer. The instlltion, progrmming, commissioning
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 informationBoo to You Mystery Quilt FORT WORTH FABRIC STUDIO  DESIGNED BY: LINDSEY WEIGHT
his sew long will lst five weeks. Boo to You Mystery Quilt R WR BR U  GN BY: NY WG will include P downlod ech week so you cn esily print off the instructions for ech block. www.fortworthfbricstudio.blogspot.com
More informationMesh and Node Equations: More Circuits Containing Dependent Sources
Mesh nd Node Equtions: More Circuits Contining Dependent Sources Introduction The circuits in this set of problems ech contin single dependent source. These circuits cn be nlyzed using mesh eqution or
More informationABB STOTZKONTAKT. ABB ibus 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 STOTZKONTAKT Appliction Softwre Current Vlue Threshold/1 Contents Pge 1 Device Chrcteristics...
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 (esson40) 4 40.1 Gols
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 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 informationUse repeated addition to find the total number of fingers. Find the total of each group by using repeated addition. Multiplication and Division
Introducing multiplication groups of 5 Use repeated addition to find the total number of fingers. 5 + 5 + 5 = 5 groups of 5 is equal to 5. Find the total of each group by using repeated addition. a How
More information510 Series Color Jetprinter
510 Series Color Jetprinter User s Guide for Windows Setup trouleshooting A checklist to find solutions to common setup prolems. Printer overview Lern out the printer prts nd the printer softwre. Printing
More informationSection 10.2 Graphing Polar Equations
Section 10.2 Grphing Polr Equtions OBJECTIVE 1: Sketching Equtions of the Form rcos, rsin, r cos r sin c nd Grphs of Polr Equtions of the Form rcos, rsin, r cos r sin c, nd where,, nd c re constnts. The
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 informationNetwork Theorems. Objectives 9.1 INTRODUCTION 9.2 SUPERPOSITION THEOREM
M09_BOYL3605_13_S_C09.indd Pge 359 24/11/14 1:59 PM f403 /204/PH01893/9780133923605_BOYLSTAD/BOYLSTAD_NTRO_CRCUT_ANALYSS13_S_978013... Network Theorems Ojectives Become fmilir with the superposition theorem
More informationTRUMBULL PUBLIC SCHOOLS
PS TRUMBULL PUBLC SCHOOLS CURRCULUM DEPARTMENT 6254 Min St., Trumbull, CT 06611 (203) 4524336 FAX (203) 4524342 Lind S. Pslov, Ed.D. Director of Curriculum, nstruction, & Assessments emil: pslovl@trumbullps.org
More informationUniversity of North CarolinaCharlotte Department of Electrical and Computer Engineering ECGR 4143/5195 Electrical Machinery Fall 2009
Problem 1: Using DC Mchine University o North CrolinChrlotte Deprtment o Electricl nd Computer Engineering ECGR 4143/5195 Electricl Mchinery Fll 2009 Problem Set 4 Due: Thursdy October 8 Suggested Reding:
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 informationSERIES Addition and Subtraction
D Teacher Student Book Name Series D Contents Topic Section Addition Answers mental (pp. 48) strategies (pp. 4) look addition for a mental ten strategies_ look subtraction for patterns_ mental strategies
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.48 Pge 2 I wnt to tke the time to sincerely thnk you for your
More informationHow to remove BRNS/BRFS series from a PWB
Applictions mnul for BRNS/BRFS series How to remove BRNS/BRFS series from PWB VER1.0 Applictions Mnul BRNS/BRFS series Pge 1. Overview 11 1.1 Overview 11 2. Preprtion 21 2.1 2.2 2.3 Removl tool Adhesive
More informationProposed Cable Tables for SAS2
Tle 50 Requirements for internl le ssemlies using SASDrive onnetors n kplnes. Requirement, Units 1,5 Gps 3Gps 6 Gps Bulk le or kplne:, Differentil impene ohm 100 ± 10 100 g Commonmoe impene ohm 32,5 ±
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 informationFrom OffTheShelf to MarketReady New Age Enclosures is your Single Source Solution. Let us quote modifiying our Stock Enclosures to meet your
From OffTheShelf to MarketReady New ge Enclosures is your Single Source Solution. Let us quote modifiying our Stock Enclosures to meet your enduse. visit newageenclosures.com/services or call 8554NENCL
More informationMultiplication and Division
Series D Student My name Multiplication and Division Copyright 2009 3P Learning. All rights reserved. First edition printed 2009 in Australia. A catalogue record for this book is available from 3P Learning
More informationPolar coordinates 5C. 1 a. a 4. π = 0 (0) is a circle centre, 0. and radius. The area of the semicircle is π =. π a
Polr coordintes 5C r cos Are cos d (cos + ) sin + () + 8 cos cos r cos is circle centre, nd rdius. The re of the semicircle is. 8 Person Eduction Ltd 8. Copying permitted for purchsing institution only.
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 information