SECOND EDITION HOME CONNECTIONS GRADE


 Cecilia Hubbard
 4 years ago
 Views:
Transcription
1 SECOND EDITION HOME CONNECTIONS GRADE 5
2 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 Units 8 Bridges in Mthemtics Grde 5 Assessment Guide Bridges in Mthemtics Grde 5 Techer Msters Bridges in Mthemtics Grde 5 Student Book Volumes & 2 Bridges in Mthemtics Grde 5 Home Connections Volumes & 2 Bridges in Mthemtics Grde 5 Techer Msters Answer Key Bridges in Mthemtics Grde 5 Student Book Answer Key Bridges in Mthemtics Grde 5 Home Connections Answer Key Bridges in Mthemtics Grde 5 Components & Mnipultives Bridges Eductor Site Work Plce Gmes & Activities Digitl resources noted in itlics. The Mth Lerning Center, PO Box 2929, Slem, Oregon Tel (800) by The Mth Lerning Center All rights reserved. Bridges nd Number Corner re registered trdemrks of The Mth Lerning Center. Prepred for publiction using Mc OS X nd Adobe CS6. Printed in the United Sttes of Americ. To reorder Home Connections, refer to number 2B4HC5 (pckge of 5 sets, Volumes & 2). QBB5903 ( & 2) Updted Number Corner Grde 5 Techers Guide Volumes 3 Number Corner Grde 5 Techer Msters Number Corner Grde 5 Student Book Number Corner Grde 5 Techer Msters Answer Key Number Corner Grde 5 Student Book Answer Key Number Corner Grde 5 Components & Mnipultives Word Resource Crds The Mth Lerning Center grnts permission to reproduce or shre electroniclly the mterils in this publiction in support of implementtion in the clssroom for which it ws purchsed. Distribution of printed mteril or electronic files outside of this specific purpose is expressly prohibited. For usge questions plese contct The Mth Lerning Center. Bridges in Mthemtics is stndrdsbsed K 5 curriculum tht provides unique blend of concept development nd skills prctice in the context of problem solving. It incorportes the Number Corner, collection of dily skillbuilding ctivities for students. The Mth Lerning Center is nonprofit orgniztion serving the eduction community. Our mission is to inspire nd enble individuls to discover nd develop their mthemticl confidence nd bility. We offer innovtive nd stndrdsbsed professionl development, curriculum, mterils, nd resources to support lerning nd teching. To find out more, visit us t ISBN Bridges in Mthemtics Grde 5 Home Connections
3 Bridges Grde 5 Home Connections Volumes & 2 Unit Expressions, Equtions & Volume Wht s the Problem?... Multipliction Connections...3 Better Boxes...5 Smnth s Strtegies...7 Finding Fctors...9 Piper s PingPong Tem... Student Strtegies...3 More Expressions & Equtions...5 Expressions, Equtions & Stories...7 Agree or Disgree?...9 Unit 2 Adding & Subtrcting Frctions Compring Frctions... 2 More Adding Frctions Cfeteri Problems Adding & Subtrcting Frctions Frction Action Using Rtio Tble...3 In the Librry Frction Addition & Subtrction Story Problems Find the Greter Frction Working with Frctions Unit 3 Plce Vlue & Decimls Finding Equivlent Expressions...4 Cndy Sles Grph & More Modeling Decimls Deciml & Frction Grids Red, Write & Compre Decimls More Deciml Prctice... 5 Deciml Prctice Very Smll & Very Lrge Numbers Division Gmes Unit 3 Review Unit 4 Multiplying & Dividing Whole Numbers & Decimls Number Review Thinking About Strtegy Multipliction Strtegies... 7 Dnte s Decision Using Qurters Multipliction Models & More Mri s Multipliction Skills Review... 8 Number Reltionships Unit 4 Review Bridges in Mthemtics Grde 5 Home Connections
4 Unit 5 Multiplying & Dividing Frctions Multipliction & Division Review More Frctions of Wholes... 9 Gmes, Crds & More The Tngerine Problem Frctions & Division Compring, Simplifying & Adding Frctions Review Frction Multipliction Models... 0 Shring & Grouping Multiplying & Dividing Operting with Frctions & Whole Numbers 05 Unit 5 Review Unit 6 Grphing, Geometry & Volume Plotting Points on Grph... More About the Short Towers Sequence...3 The Lemonde Stnd...5 Types of Tringles...9 Clssifying Qudrilterls... 2 Mesurement & Multipliction Review Cmping Trip Another Cmping Trip Abby s Arrys Unit 6 Review... 3 Unit 7 Division & Decimls More Arry Work More Roll Five & Rtio Tbles More Division with Frctions You Choose Relted Division Problems... 4 More Division Prctice Division Review Reviewing Numbers Smll & Lrge Olympic Swimmers Olympic Trck Str... 5 Unit 8 Solr Design Looking for Solr Energy in Our Neighborhood Solr Reflection & Absorption Hunt Volume of Boxes Volume of Erth Mterils Windows on House... 6 Buying Mterils Energy in Our Homes Drwing House to Scle Designing Solr House Design Their House... 7 Bridges in Mthemtics Grde 5 Home Connections
5 Unit Module Session 2 Wht s the Problem? pge of 2 ex To find 3 times ny number, Mri doubles the number, then dds the number gin. Write n expression with prentheses to show how Mri would solve 3 6. (2 6) + 6 b Wht is 3 6? c Wht is nother wy to think bout 3 6? You could do 3 5, which is relly esy, nd then dd 3 more, like this (3 5) + 3 To find 4 times ny number, Susn uses the DoubleDouble strtegy (multiply by 2, then by 2 gin). Susn wrote (2 9) 2 to record how she would solve 4 9. Wht is 4 9? 8 b Wht is nother wy to solve 4 9? 2 To find 5 times ny number, Kylee first multiplies by 0 nd then finds hlf the product. Write n expression with prentheses to show how Kylee would solve 7 5. b Wht is 7 5? c Wht is nother wy to solve 7 5? 3 When given ny number times 9, Jsper multiplies the number by 0 nd then removes one group of the number. Write n expression with prentheses to show how Jsper would solve 3 9. b Wht is 3 9? c Wht is nother wy to think bout 3 9? (continued on next pge) Bridges in Mthemtics Grde 5 Home Connections
6 Unit Module Session 2 Wht s the Problem? pge 2 of 2 4 Brden loves multiplying by 8 becuse he cn doubledoubledouble. Write n expression with prentheses to show how Brden would solve 8 7. b Wht is 8 7? c Wht is nother wy to think bout 8 7? 5 Jonh ws sked to dd 4 nd 7 then multiply the sum by 9. Which expression shows Jonh s problem? (The sum is the nswer to n ddition problem.) (4 + 7) 9 b (7 4) 9 c 4 + (7 9) 6 Ptrick needed to multiply 4 nd 6 then subtrct 2 from the product. Write n expression with prentheses to show the problem. (The product is the nswer to multipliction problem.) 7 Violet divided 8 by 9 then multiplied the quotient by 3. Write n expression with prentheses to show the problem. (The quotient is the nswer to division problem.) 8 Solve. 54 (3 8) b (28 7) 4 9 CHALLENGE Rfel ws given the problem Write n expression to show how you would solve the problem. Bridges in Mthemtics Grde 5 Home Connections 2
7 Unit Module Session 4 Multipliction Connections pge of 2 ex To multiply number by 5, Mriss first multiplies by 0 nd then finds hlf the product. ex Write n expression with prentheses to show how Mriss would solve (24 0) 2 ex Wht is 24 5? 20 To multiply number by 2, Crter likes to multiply the number by 0 nd then multiply it by 2 nd dd the products. Here is picture of his thinking Write n expression with prentheses to show how Crter would solve 2 6. b Wht is 2 6? 2 To multiply number by 99, Sofi likes to multiply by 00 nd then subtrct group of the fctor. Here is picture of her thinking Write n expression with prentheses to show how Sofi would solve b Wht is 8 99? (continued on next pge) Bridges in Mthemtics Grde 5 Home Connections 3
8 Unit Module Session 4 Multipliction Connections pge 2 of 2 3 Fill in the dimensions of this box: 4 Solve the following problems Find the products. (2 5) 8 = b (2 8) 5 = c (5 8) 2 = 6 Which of the problems in item 5 is the esiest for you to solve? In other words, in which order would you prefer to multiply the three fctors? Why? 7 Find the products. (6 7) 0 = b (6 0) 7 = c (7 0) 6 = 8 Which of the problems in item 7 is the esiest for you to solve? In other words, in which order would you prefer to multiply the three fctors? Why? Bridges in Mthemtics Grde 5 Home Connections 4
9 Unit Module 2 Session Better Boxes pge of 2 Brd found some dditionl boxes in his storeroom. He is wondering if these boxes will work for pckging some of his hndstitched bseblls. For ech of the following problems, ssume tht bll fits into spce. Use numbers, lbeled sketches, or words to find the nswers. Show your work. How mny bseblls would fit in box tht hs the dimensions (3 5) 2? 2 How mny bseblls would fit in box tht hs the dimensions (2 4) 5? 3 How mny bseblls would fit in box tht hs the dimensions 4 (3 6)? 4 How mny bseblls would fit in this box? 5 How mny bseblls would fit in this box? (continued on next pge) Bridges in Mthemtics Grde 5 Home Connections 5
10 Unit Module 2 Session Better Boxes pge 2 of 2 6 How mny bseblls would fit in this box? 7 Brd is hoping to pckge exctly 48 bseblls together. He sees the side of box in his storeroom tht is 2 3. Wht is he hoping the other dimension is? 8 Brd is hoping to pckge exctly 64 bseblls together. He sees the side of box in his storeroom tht is 4 2. Wht is he hoping the other dimension is? 9 CHALLENGE Hrris sid tht 5 9 is equivlent to 45 3 becuse you cn multiply one dimension by 3 nd divide the other dimension by 3. His prtner sid tht only works when you double one number nd hlve the other. Who is right? Explin. Bridges in Mthemtics Grde 5 Home Connections 6
11 Unit Module 2 Session 3 Smnth s Strtegies pge of 2 Smnth hs been working with vriety of multipliction strtegies. Write n expression to describe ech of the sttements Smnth mde. To solve 8 20, I find double 8 nd then multiply by 0. b To solve 6 8, I double nd hlve. c To solve 3 8, I find 3 8, multiply by 0, nd then dd group of 8. 2 Evlute the three expressions bove (in other words, solve the problems). b c 3 Fill in the blnks. (5 3) = 60 b 4 ( 9) = 72 c 7 ( 2 ) = 42 d ( 5) 5 = 75 e (3 3) = 27 (continued on next pge) Bridges in Mthemtics Grde 5 Home Connections 7
12 Unit Module 2 Session 3 Smnth s Strtegies pge 2 of 2 4 True or Flse? 9 9 = (0 0) b 7 2 = (20 7) + ( 7) c 6 20 = 0 (6 2) d 8 3 = 2 52 e 6 8 = (6 20) (6 2) 5 Willim needs box to hold his golf bll collection. He found box tht cn fit 8 lyers with 4 blls in ech lyer. How mny golf blls cn this box hold? Show your work. 6 Willim found different box in his grge. The lbel outside sid it would hold 20 golf blls. If 24 blls fit in ech lyer, how mny lyers tll is the box? Show your work. 7 CHALLENGE Willim hs totl of 292 golf blls in his collection. Write n eqution to show how mny golf blls re left if Willim fills the two boxes described in problems 5 nd 6 bove. b Wht re the dimensions of two different boxes tht Willim could use to store the rest of his collection? Show your work. Bridges in Mthemtics Grde 5 Home Connections 8
13 Unit Module 2 Session 5 Finding Fctors pge of 2 Find ll the fctors of ech of the numbers below. ex 5:, 3, 5, 5 2:,,, b 28:,,,,, c 42:,,,,,,, d 60:,,,,,,,,,,, 2 Find t lest three multiples for ech number below. ex 5: 30, 45, 60 2:,, b 25:,, c 35:,, d 42:,, 3 List ll the fctors of 36. b How do you know you hve listed them ll? 4 Milo is tlking to his sister Lis bout fctors. He sid he thinks tht ny even number lwys hs more fctors thn ny odd number. Lis sid she doesn't gree with him. Explin who you gree with nd why. (continued on next pge) Bridges in Mthemtics Grde 5 Home Connections 9
14 Unit Module 2 Session 5 Finding Fctors pge 2 of 2 ex Wht fctors do 2 nd 24 hve in common?, 2, 3, 4, 6, 2 5 Wht fctors do 8 nd 2 hve in common? 6 Wht fctors do 6 nd 4 hve in common? ex Wht re two multiples tht 5 nd 6 hve in common? 30, 60 7 Wht re two multiples tht 4 nd 8 hve in common? 8 Wht re two multiples tht 5 nd 7 hve in common? 9 CHALLENGE Hun is redesigning his bedroom, which is the shpe of rectngle. Hun knows the re of his bedroom is 80 squre feet. Wht re ll the possible whole number dimensions of Hun s bedroom? b Which dimensions re the most likely dimensions for Hun s bedroom? Why? Bridges in Mthemtics Grde 5 Home Connections 0
15 Unit Module 3 Session Piper s PingPong Tem pge of 2 Piper is the cptin of her school s pingpong tem. Help Piper keep trck of the tem s equipment. Show your work using numbers, lbeled sketches, or words. Piper brought this box of pingpong blls to prctice on Tuesdy. How mny pingpong blls does the box hold if one pingpong bll fits in unit unit unit spce? b How much crdbord does it tke to mke the box? 2 Piper needs to buy 320 new pingpong blls for the tem. Pingpong blls come in sets of 6. How mny sets of pingpong blls should Piper buy? b If one set of 6 pingpong blls costs $8, how much will 320 pingpong blls cost? (continued on next pge) Bridges in Mthemtics Grde 5 Home Connections
16 Unit Module 3 Session Piper s PingPong Tem pge 2 of 2 3 Piper sw lrge box of pingpong blls with 48 blls in ech lyer. If the box hs 5 lyers, how mny blls cn the box hold? b If the box hs 5 lyers, how mny blls cn the box hold? 4 Is the eqution true or flse? 27 5 = (20 5) (7 5) b 45 8 = (40 0) + (40 8) + (5 0) + (5 8) c 99 3 = (00 3) ( 3) d 64 5 = Write n expression for ech item below. ex To find 2 times 7, I multiply 0 times 7 nd 2 times 7 nd dd the two products together. (0 7) + (2 7) To find 79 times 24, I multiply 80 times 24 nd tke off one group of 24. b To find 2 times 3, I double 3 nd hlve 2 nd then multiply. c CHALLENGE To find,88 divided by 2, I think bout,200 divided by 2 tht s 00 groups of 2.,88 hs fewer group of 2. Bridges in Mthemtics Grde 5 Home Connections 2
17 Unit Module 3 Session 3 Student Strtegies pge of 2 Julin loves multiplying by 8 becuse she cn doubledoubledouble. Write n expression to show how Julin would solve b Wht is 8 23? c Write n expression tht shows different wy to solve Kevin ws sked to dd 6 nd 9 then multiply by 7. Which expression shows Kevin s problem? b (6 + 9) 7 c 6 + (9 7) ex Elizbeth needed to multiply 7 nd 8 nd then subtrct 3. Write n expression to show the problem. Then, solve the problem nd write n eqution. Expression (7 8) 3 b Eqution (7 8) 3 = 43 3 Kden divided 96 by 2 nd then multiplied by 6. Write n expression to show the problem. Then, solve the problem nd write n eqution. Expression b Eqution Bridges in Mthemtics Grde 5 Home Connections 3
18 Unit Module 3 Session 3 Student Strtegies pge 2 of 2 Evlute the following expressions. 4 8 (9 7) 5 (54 6) 8 How mny cubes re in the following rectngulr prisms? For ech problem, write n expression nd evlute it to find the number of cubes. 6 Expression: Number of cubes: 7 Expression: Number of cubes: 8 CHALLENGE Chloe is sorting items t thrift store. She finds box of tiny blocks tht hs,344 written on the outside. She cn see tht ech lyer in the box hs 64 blocks. How mny lyers of blocks re there? b Wht is nother wy Chloe could rrnge the,344 blocks to fit in different box? Bridges in Mthemtics Grde 5 Home Connections 4
19 Unit Module 4 Session More Expressions & Equtions pge of 2 Write numericl expression tht includes grouping symbols. To find 73 9, I find 73 times 0 nd remove group of 73. b To find the volume of box tht hs n 8 by 25 bse nd 2 lyers, I multiply the re of the bse times the height. 2 Write nd solve n eqution to represent ech sitution. To find 23 times 8, I double nd hlve. b To find 24 times 7, I multiply 20 times 7 nd dd it to 4 times 7. 3 True or Flse? 2 7 = 6 34 b = (00 75) c To find the volume of box, I cn multiply the length times the width. 4 Evlute ech expression (solve ech problem). (7 8) 9 b 2 (5 5) + 3 (4 4) c (00 67) ( 67) d (98 47) + (2 47) (continued on next pge) Bridges in Mthemtics Grde 5 Home Connections 5
20 Unit Module 4 Session More Expressions & Equtions pge 2 of 2 5 How mny cubes re in the following rectngulr prisms? Write nd solve equtions to show. Eqution for number of cubes: b Eqution for number of cubes: A box holds 25 blls. Ech lyer hs 25 blls. How mny lyers does the box hve? Show your work. 5 7 CHALLENGE A box holds 425 blls. Ech lyer hs 7 blls. How mny lyers does the box hve? Show your work. Bridges in Mthemtics Grde 5 Home Connections 6
21 Unit Module 4 Session 3 Expressions, Equtions & Stories pge of 2 Write n expression with prentheses for ech sttement below. I multiplied 7 times 8 nd then I dded 9. b I multiplied 3 times 2 nd then multiplied the product of 3 times 2 by 5. c I subtrcted 4 from 30 nd then I multiplied the difference by 6. 2 Emir loves multiplying by 99 becuse he cn use n over strtegy. Write n expression to show how Emir would solve b Wht is 99 76? c Show different wy to solve Eric likes to multiply by 25 becuse she cn use the doublehlf strtegy. Write n expression to show how Eric would solve b Wht is 25 28? c Show different wy to solve Evlute ech expression. (25 0) 0 = b 4 (4 4) + 3 (3 3) = c (00 89) ( 89) = (continued on next pge) Bridges in Mthemtics Grde 5 Home Connections 7
22 Unit Module 4 Session 3 Expressions, Equtions & Stories pge 2 of 2 5 For ech problem below: Use numbers, words, or lbeled sketches to solve the problem. Show ll your work. Figure out the best wy to hndle the reminder, if there is one, for tht sitution. Write n eqution to show ech problem nd the nswer, lbeled with the correct units. Thirtyeight fifth grders t Vernon Elementry re going on the field trip to the rt museum. They re riding in vns tht ech hold 9 students. How mny vns will they need for everyone to get to the rt museum? Eqution b When Alex nd Mrcus went to the store with their mom, she sid they could split the chnge evenly. The totl cost of their groceries ws $ She gve the cshier three $20 bills. How much money did Alex nd Mrcus ech get? Eqution c CHALLENGE On Fridy fternoon, My relizes tht she hs put off her reding for too long nd tht she needs to finish her book by Mondy. The book is 265 pges long. She is on pge 27. How mny pges will she need to red ech night to finish the book before school on Mondy morning? Eqution Bridges in Mthemtics Grde 5 Home Connections 8
23 Unit Module 4 Session 5 Agree or Disgree? pge of 2 Choose 5 of the 6 problems on this pge nd the next. For ech one you choose, write whether you gree or disgree. Then explin your thinking using numbers, words, nd/ or lbeled sketches. Do you gree or disgree? Explin your thinking. The 5th grders set up 20 rows of chirs with 25 chirs in ech row for the ssembly. Mrs. Lord sked if they d set up enough chirs for ll 552 students. Kmil sid he could skipcount to find out how mny chirs there were in ll, nd then they d know if they hd enough. 2 The trck t the high school is 400 meters. After she rn 6 times round the trck, Isuko sid she d gone more thn 2 kilometers. 3 Mr. Mdison needs 75 grnol brs for the 5th grde field trip. The brs come in boxes of 0. He ll need to buy 7 boxes to hve enough. (continued on next pge) Bridges in Mthemtics Grde 5 Home Connections 9
24 Unit Module 4 Session 5 Agree or Disgree? pge 2 of 2 Do you gree or disgree? Explin your thinking. 4 To multiply 247 4, you cn do these smller problems nd dd them together: There re 46 kids in the AfterSchool Club. Tody they re going to the pool t the Community Center. If ech minivn cn tke 6 kids, they ll need 8 minivns for ll the kids. 6 CHALLENGE Brd wnts to pckge his bseblls in sets of 00. Bethny sys the box tht will tke the lest mount of crdbord for 00 bseblls is one with bse of 2 5 nd height of 0. Bridges in Mthemtics Grde 5 Home Connections 20
25 Unit 2 Module Session 2 Compring Frctions pge of 2 Color in the grid to show the frctions below. Ech grid represents whole. 2 b 4 c 3 0 d 6 0 e Use the pictures bove to help complete ech comprison below using <, >, or =. ex 2 > b c d e Add these frctions. (Hint: Think bout money to help.) = b = c = d = (continued on next pge) Bridges in Mthemtics Grde 5 Home Connections 2
26 Unit 2 Module Session 2 Compring Frctions pge 2 of 2 4 Frncisco nd his mother bought some fruit yesterdy. They bought 2 2 pounds of peches, 7 0 of pound of rspberries, nd 4 pounds of pricots. How mny pounds of fruit did they buy in ll? Show ll your work. 5 CHALLENGE Write three frction ddition problems in which the frctions hve different denomintors nd the sum is. ex = b c 6 CHALLENGE Fill in the missing numertors nd denomintors to mke ech comprison true. 2 > 4 2 b 4 = 2 c 6 32 < 8 Bridges in Mthemtics Grde 5 Home Connections 22
27 Unit 2 Module Session 4 More Adding Frctions pge of 2 Show the frctions on the strips or clocks. Then dd them nd report the sum. First Second Add Them Sum b c d e f g h Bridges in Mthemtics Grde 5 Home Connections 23
28 Unit 2 Module Session 4 More Adding Frctions pge 2 of 2 Show your work for ech problem using numbers, sketches, or words. 2 Abby nd Luren re prepring for dnce performnce. On Mondy, they prcticed for 2 3 of n hour. On Tuesdy, they prcticed for 5 6 of n hour. How long did they prctice on Mondy nd Tuesdy together? 3 On Wednesdy, Abby nd Luren could not prctice together, so they prcticed seprtely. Abby prcticed for 2 of n hour nd Luren prcticed for 2 3 of n hour. How long did they prctice on Wednesdy? 4 CHALLENGE If you re dding two frctions tht re both greter thn 2, wht must be true bout the sum? Give three exmples to support your thinking. The sum must be: 5 CHALLENGE If you re dding two frctions tht re both less thn 2, wht must be true bout the sum? Give three exmples to support your thinking. The sum must be: Bridges in Mthemtics Grde 5 Home Connections 24
29 Unit 2 Module 2 Session Cfeteri Problems pge of 2 The cfeteri t King Elementry sked the students to vote on their fvorite min dishes. The circle grphs below show the results. Use the informtion to nswer the questions below. Fourth Grde Fvorites Fifth Grde Fvorites Key Cheese Pizz Turkey Burgers Chicken Nuggets Super Sld Wht frction of the fourth grders did not vote for super sld? Show your work. b Wht frction of the fifth grde voted for turkey burgers or chicken nuggets? Show your work. c 92 fourth grders voted. How mny of them voted for turkey burgers? Show your work. d 74 fifth grders voted. How mny of them voted for chicken nuggets? (continued on next pge) Bridges in Mthemtics Grde 5 Home Connections 25
30 Unit 2 Module 2 Session Cfeteri Problems pge 2 of 2 2 Wht is: 2 of 60? b 3 60? c 2 of 00? d 5 00? 3 While witing for his grndm to rrive, Ptrick spent 2 of n hour on the phone with friend nd 4 of n hour listening to the rdio. How long did Ptrick spend witing for his grndm? Write your nswer both in minutes nd s frction of n hour. 4 Beth wlked 3 of mile from her house to her friend s house, 4 of mile to the post office, nd then nother 2 of mile from the post office bck home. How fr did Beth wlk? 5 CHALLENGE Rodney nd Josih ech bought pckge of the sme kind of cookies t the store. Rodney te 2 pckge of cookies on Mondy nd 3 of the sme pckge on Tuesdy. Josih te 5 2 of his pckge on Mondy nd 2 of the pckge on Tuesdy. Who te more? How much more? Bridges in Mthemtics Grde 5 Home Connections 26
31 Unit 2 Module 2 Session 3 Adding & Subtrcting Frctions pge of 2 Solve the problems on this pge. If your nswer is n improper frction, find its equivlent mixed number = = 5 4 = is n improper frction becuse 5 is greter thn is equl to, so 5 4 is equl to = b = c = d = e = f = 2 Find two different wys to show tht is not equl to 2 7. You cn use numbers, words, nd lbeled sketches. Bridges in Mthemtics Grde 5 Home Connections 27
32 Unit 2 Module 2 Session 3 Adding & Subtrcting Frctions pge 2 of 2 3 Dn must do homework for 2 n hour nd clen his room for of n hour before 3 he cn ply. Wht frction of n hour must Dn do homework nd clen before he cn ply? 4 Dnielle found nickel on the plyground t school. She lso found $0.20 on the sidewlk. How much money did she find? b Wht frction of dollr did Dnielle find? 5 CHALLENGE Mrih hs n fterschool bbysitting job. This is record of the number of hours she worked lst week. Dy of the Week Bbysitting Hours Mondy 2 2 Tuesdy 3 2 Wednesdy 2 4 Thursdy Mrih gets pid $6 per hour. How much money did she ern bbysitting lst week? Show your work. Bridges in Mthemtics Grde 5 Home Connections 28
33 Unit 2 Module 2 Session 5 Frction Action pge of 2 Color some of the circles in ech set to show the frctions below. 2 b 4 c 3 4 d 6 e 2 6 f 5 6 g 3 h 3 3 i Add the following frctions. If the sum is greter thn, write the nswer s both n improper frction nd mixed number. ex = 5 4 = b c d (continued on next pge) Bridges in Mthemtics Grde 5 Home Connections 29
34 Unit 2 Module 2 Session 5 Frction Action pge 2 of 2 3 Mrsh wlked 2 miles to school yesterdy morning. After school, she wlked 3 4 of mile to her unt's house. How mny miles did she wlk in ll yesterdy? Estimte the nswer. b Find the exct nswer. Show ll your work. 4 Frncisco nd his mom got some fruit t the fruit stnd yesterdy. They bought 2 2 pounds of peches, 7 8 of pound of rspberries, nd 4 pounds of pricots. How mny pounds of fruit did they buy in ll? Estimte the nswer. b Find the exct nswer. Show ll your work. 5 CHALLENGE Cmil hd lrge collection of bsketbll crds. She gve hlf of them to her friend Erin nd sixth of them to her brother. She still hs 50 crds left. How mny crds did she strt with? Show ll your work. Bridges in Mthemtics Grde 5 Home Connections 30
35 Unit 2 Module 3 Session Using Rtio Tble pge of 2 Use rtio tble to multiply the numbers. ex b c d 4 8 e (continued on next pge) Bridges in Mthemtics Grde 5 Home Connections 3
36 Unit 2 Module 3 Session Using Rtio Tble pge 2 of 2 2 True or Flse? = (00 34) (2 34) b = Veronic hs to multiply She sys she cn multiply nd then tke wy one group of 8. Do you gree with Veronic? Explin. b Write n expression tht shows Veronic s thinking. c Wht is 398 8? Show your work. 4 CHALLENGE The qurium hs 98 fish tnks with 5 fish in ech. They lso hve 297 tnks with 2 crustcens in ech. Does the qurium hve more fish or more crustcens? How mny more? Mke n estimte nd explin your resoning. Then determine the ctul nswer. Estimte nd resoning: b Actul nswer: (Show your work.) c Is your nswer resonble? (Think bout your estimte.) Bridges in Mthemtics Grde 5 Home Connections 32
37 Unit 2 Module 3 Session 3 In the Librry pge of 2 The librrin t our school sked the fourth nd fifth grders to vote on their fvorite kind of book. The circle grphs below show the results. Use the informtion to nswer the questions below. Fourth Grde Fvorites Fifth Grde Fvorites Key 8 Fiction Fntsy Nonfiction Wht frction of the fourth grders sid they liked nonfiction books best? How do you know? b If there re 96 fourth grders, how mny like fntsy books best? Show your work. c Wht frction of the fifth grders sid they like fntsy books best? How do you know? d If there re 2 fifth grders, how mny like nonfiction books best? Show your work. e Wht frction of the fifth grders sid they liked fiction books best? How do you know? (continued on next pge) Bridges in Mthemtics Grde 5 Home Connections 33
38 Unit 2 Module 3 Session 3 In the Librry pge 2 of 2 2 Mdeline wlked 2 miles to her Aunt Jenny s house yesterdy morning. After visiting with Aunt Jenny, Mdeline wlked 3 4 of mile to the prk, where her mother picked her up. How mny miles in ll did she wlk yesterdy? Show ll your work. 3 Sr nd her mother bought some vegetbles t the frmer s mrket yesterdy. They bought pounds of cbbge, 2 pound of onions, nd 3 8 pounds of crrots. How mny pounds of vegetbles did they buy in ll? Show ll your work. 4 CHALLENGE Mdison went to the mll with her big sister lst weekend. Their mom dropped them off t :00 nd sid, I ll pick you up t 2:30. The girls spent 5 6 of n hour t the toy store, 2 3 of n hour t the pet store, nd 2 n hour t the food court. When they got bck to the bench to meet their mom, she ws lredy there. She sid, Where hve you been? I ve been witing of n hour for you! How long hd their mom been witing for them? Bridges in Mthemtics Grde 5 Home Connections 34
39 Unit 2 Module 3 Session 5 Frction Addition & Subtrction Story Problems pge of 2 Find the sum or the difference for ech pir of numbers. Show ll your work = b = c = d = 2 George nd his dd mde some snck mix for their cmping trip. To mke it, they used 2 cups of mini pretzels, 3 4 cup of penuts, nd 2 3 cup of chocolte chips. How mny cups of snck mix did they hve when they were finished? Show ll your work. (continued on next pge) Bridges in Mthemtics Grde 5 Home Connections 35
40 Unit 2 Module 3 Session 5 Frction Addition & Subtrction Story Problems pge 2 of 2 3 Lis drnk 7 6 of bottle of wter during the soccer gme. Julinne drnk 2 3 of the wter in bottle tht ws the sme size s Lis s. Who drnk more wter nd by exctly how much? Show ll of your work. 4 CHALLENGE Austin went to the science museum. He ws there for 2 hours. He spent 3 5 of his time doing experiments. Then, he spent 3 of his time t the wter sttion. Finlly, he spent the rest of his time looking t skeletons. How long did Austin spend looking t skeletons? Show ll your work, nd express your nswer s number of minutes nd s frction of n hour. Bridges in Mthemtics Grde 5 Home Connections 36
41 Unit 2 Module 4 Session Find the Greter Frction pge of 2 Find the lest common multiple for ech pir of numbers. Show ll your work. ex 3 nd 5 3: 3, 6, 9, 2, 5, 8 5: 5, 0, 5, 20 The LCM is 5. 4 nd 6 b 3 nd 7 c 5 nd 8 d 6 nd 9 2 Use the lest common multiple to find equivlent frctions for ech frction pir. Then, use the symbol < or > to show the bigger frction. ex 3 4 nd nd , 8, 2, 6 6 6, 2, 8, = = = = > 8 2 so 3 4 > 4 6 b 6 nd 2 9 c 7 2 nd 5 8 (continued on next pge) Bridges in Mthemtics Grde 5 Home Connections 37
42 Unit 2 Module 4 Session Find the Greter Frction pge 2 of 2 Solve the story problems below. Show your work using numbers, sketches, or words. 3 Mtthew red 2 3 of book. Crig red 4 5 of the sme book. Who red more? How much more? 4 Crlos hd two extr sndwiches. They were exctly the sme size. He gve 7 9 of the first sndwich to his friend Ben nd 4 6 of the second sndwich to his friend Corey. Whose piece is bigger, Corey s or Ben s? b CHALLENGE If Crlos te the remining pieces of the two sndwiches, did he get more or less thn Corey? Did he get more or less thn Ben? Bridges in Mthemtics Grde 5 Home Connections 38
43 Unit 2 Module 4 Session 3 Working with Frctions pge of 2 Which is greter, 2 3 or 4 5? Exctly how much difference is there between these two frctions? If you wnt to compre, dd, or subtrct two frctions, rewrite them so they both hve the sme denomintor. To do this: Find the lest common multiple of the denomintors of the frctions. multiples of 3 3, 6, 9, 2, 5 multiples of 5 5, 0, 5 The lest common multiple of 3 nd 5 is 5. Multiply the numertor nd denomintor of ech frction by the sme number so the denomintors re equl. 2 5 = = is greter thn 2 3 by exctly 2 5. Find the lest common multiple (LCM) of ech pir of numbers. ex 4 nd 0 4, 8, 2, 6, 20 0, is the LCM of 4 nd 0 5 nd 6 b 2 nd 7 2 Add or subtrct the frctions by rewriting them so they hve common denomintors. Hint: Use the informtion from problem to help. ex = = = = = b = 3 Find the gretest common fctor for ech pir of numbers below. Use extr pper if you need more spce GCF GCF (continued on next pge) Bridges in Mthemtics Grde 5 Home Connections 39
44 Unit 2 Module 4 Session 3 Working with Frctions pge 2 of 2 4 Find the simplest form of ech frction below. c e 6 28 b 2 4 d 5 36 f Add or subtrct. Show your work. Hint: Use the informtion in problem 4 bove to help. b c = = = 6 Alici sys tht the gretest common fctor of 8 nd 2 is 24. Do you gree or disgree? Explin. 7 Felix sys tht 33 is in simplest form. Do you gree or disgree? Explin. 8 CHALLENGE List three exmples of times when people need to dd or subtrct frctions in their dily lives. Bridges in Mthemtics Grde 5 Home Connections 40
45 Unit 3 Module Session 2 Finding Equivlent Expressions pge of 2 Mtch ech frction expression on the top with n equivlent deciml expression on the bottom. Frction Expressions Deciml Expressions Evlute ech expression. Represent your nswer s both frction nd deciml b c d e f Students t Jonh s school cn wlk or run lps t recess. At the end of ech month, the clss tht hs covered the most distnce is recognized by the prent group. Jonh nd Hyley wlked 4 3 lps round the trck yesterdy nd 3 2 lps tody. How mny lps did they wlk together in the lst two dys? Show your work. b Jonh rn 3 4 lps on Mondy, lps on Tuesdy, nd 6 5 lps on Wednesdy. How much frther did he run on Wednesdy thn on the other two dys combined? Show your work. (continued on next pge) Bridges in Mthemtics Grde 5 Home Connections 4
46 Unit 3 Module Session 2 Finding Equivlent Expressions pge 2 of 2 4 Jonh nd Hyley mde brownies to bring s clss tret. Some were plin nd some hd sprinkles. The clss te 3 4 of one pn nd 6 of nother pn of the plin brownies. They te 5 6 of one pn nd 0 of nother pn of brownies with sprinkles. If the brownie pns were the sme size, did the clss et more plin brownies or more brownies with sprinkles? b How much more? Show your work. 5 CHALLENGE A coch took his tem out for pizz fter their lst gme. There were 4 plyers, so they hd to sit in smller groups t different tbles. Six plyers st t one tble nd got 4 smll pizzs to shre eqully. The other 8 plyers st t different tble nd got 6 smll pizzs to shre eqully. Afterwrds, one of the plyers sid it wsn t fir becuse some kids got more pizz thn others. Do you gree? Use numbers, words, or lbeled sketches to explin your nswer. Bridges in Mthemtics Grde 5 Home Connections 42
47 Unit 3 Module Session 4 Cndy Sles Grph & More pge of 2 The orgnizers of concession stnd were thinking bout mking chnges to the types of cndy they sold. They mde br grph to show the profits erned t the first two gmes of the seson for ech type of cndy. Use the grph to nswer the questions below. Show ll your work. Look t the informtion for bubble gum. Wht ws the profit for bubble gum during Gme? $0.00 $9.00 Money for Concessions Legend Gme Gme 2 b Wht ws the profit for bubble gum during Gme 2? $8.00 c How much more profit ws mde on bubble gum during Gme 2 thn Gme? $7.00 $6.00 $ How much more profit ws mde on hrd cndy during Gme 2 thn Gme? $ How much more profit ws mde on sour strings during Gme 2 thn Gme? $3.00 $ How much greter ws the profit from sles of ll three cndies during Gme 2 thn during Gme? $.00 Bubble Gum Hrd Cndy Sour Strings (continued on next pge) Bridges in Mthemtics Grde 5 Home Connections 43
48 Unit 3 Module Session 4 Cndy Sles Grph & More pge 2 of 2 5 Evlute (solve) the following: (2 5) 2 b 0 (24 4) c (50 0) + (5 5) 6 Trin sid $.05 + $2.25 = $3.75 becuse dollr nd 2 qurters plus 2 dollrs nd qurter equls 3 dollrs nd 3 qurters. Do you gree with her sttement? Explin. 7 Evlute (solve) the following: b CHALLENGE A box holds 540 blls. Ech lyer hs 8 blls. How mny lyers does the box hve? Bridges in Mthemtics Grde 5 Home Connections 44
49 Unit 3 Module 2 Session Modeling Decimls pge of 2 The bse ten models below cn be used to represent deciml numbers. whole tenth hundredth thousndth Write the number tht ech model represents. ex Model Deciml Number.025 b c (continued on next pge) Bridges in Mthemtics Grde 5 Home Connections 45
50 Unit 3 Module 2 Session Modeling Decimls pge 2 of 2 2 For ech question, fill in the missing deciml or frction equivlent(s), or shde the grid to mtch the missing numbers. b Deciml: Frction Equivlent(s): Deciml: Frction Equivlent(s): c d Deciml: 0.2 Deciml: Frction Equivlent(s): Frction Equivlent(s): CHALLENGE Julin wlked 6 0 of mile to his friend s house nd then nother of mile to the store. He wlked 4 of mile bck home. Julin s sister sid he wlked 5 miles. Do you gree? Why or why not? (continued on next pge) Bridges in Mthemtics Grde 5 Home Connections 46
51 Unit 3 Module 2 Session 3 Deciml & Frction Grids pge of 2 For ech question, fill in the missing deciml or frction equivlent(s), or shde the grid to mtch the numbers given. 2 Deciml: Frction Equivlent(s): Deciml: Frction Equivlent(s): 3 4 Deciml: 0.5 Deciml: Frction Equivlent(s): Frction Equivlent(s): Use one of these symbols (<, >, or =) to compre ech pir of deciml numbers b c d e (continued on next pge) Bridges in Mthemtics Grde 5 Home Connections 47
52 Unit 3 Module 2 Session 3 Deciml & Frction Grids pge 2 of 2 6 Round ech deciml to the nerest one, tenth, nd hundredth. (Hint: Look t the digit to the right of the plce to which you re rounding. If it s less thn 5, round down. If it s 5 or more, round up.) Number To the Nerest To the Nerest Tenth To the Nerest Hundredth ex b c d Complete the tble below to show ech frction s deciml, nd ech deciml s frction. Frction 3 4 Deciml b 0.20 c 3 00 d 0.72 e CHALLENGE Riley collected rin for severl weeks in rin guge. He collected.48 inches the first week, hlf tht much the second week, nd one inch the third week. How much more rin will Riley need to collect before he hs 5 inches? Bridges in Mthemtics Grde 5 Home Connections 48
53 Unit 3 Module 2 Session 5 Red, Write & Compre Decimls pge of 2 Complete the chrt. BseTen Numerl Expnded Form (2 0) + (5 ) + (8 0) + (9 00) + (3 000) (3 ) + (6 0) + ( 00) + (3 (6 ) + (4 0) + (9 00) ( 0) + (8 0) + (6 00) + (3 000) 000) 2 Complete the chrt. BseTen Numerl Number Nme.893 one nd eight hundred ninetythree thousndths two nd two thousndths forty thousndths 3 List the decimls from problem 2 in order from lest to gretest. Include the exmple. < < < < < < Bridges in Mthemtics Grde 5 Home Connections 49
54 Unit 3 Module 2 Session 5 Red, Write & Compre Decimls pge 2 of 2 4 Fill in the bubble to show which of the two deciml numbers is greter. Use numbers, words, or lbeled sketches to explin your nswer. How do you know the number you ve selected is greter? NN.200 NN Write four deciml numbers tht re less thn.004.,,, 6 Write four deciml numbers tht hve n even number in the tenths plce, n odd number in the hundredths plce, nd prime number in the thousndths plce.,,, 7 CHALLENGE Rob bbysits the kids next door every dy fter school for.5 hours. He erns $3.50 n hour. How much money will he ern in 6 weeks if school is in session 5 dys week the whole time? Show your work. Bridges in Mthemtics Grde 5 Home Connections 50
55 Unit 3 Module 2 Session 7 More Deciml Prctice pge of 2 Round ech deciml number to the nerest whole number. 9.7 b 6.45 c Round ech deciml number to the nerest tenth..65 b 0.3 c CHALLENGE Round ech deciml number to the nerest hundredth b c Solve Solve. Show your work = = = (continued on next pge) Bridges in Mthemtics Grde 5 Home Connections 5
56 Unit 3 Module 2 Session 7 More Deciml Prctice pge 2 of 2 Story Problems Show your work using numbers, lbeled sketches, or words. 6 Rchel hs $0.00. She wnts to buy book tht costs $6.79. Will she hve enough money left over to buy pen for $3.50? Explin. 7 Diego hs 3 dollr bills, 3 qurters, dime, nd 7 pennies. Sm hs 2 dollr bills, 5 qurters, 6 dimes, nd 9 pennies. Who hs more money? How much more? b How much money do the boys hve in ll? Review: Show your work using numbers, lbeled sketches, or words. 8 Tony hs box tht mesures 2 cm by 7 cm by 9 cm. Wht is the volume of the box? 9 Eric is keeping trck of rinwter. On Mondy, it rined 3 4 cm. On Tuesdy it rined 2 8 cm. How much more did it rin on Tuesdy thn on Mondy? Bridges in Mthemtics Grde 5 Home Connections 52
57 Unit 3 Module 3 Session 2 Deciml Prctice pge of 2 Fill in the blnks to convert the units in ech problem below. The following informtion my help you: gigbyte (GB) is equl to,000 megbytes (MB). megbyte (MB) is equl to,000 kilobytes (KB). kilobyte (KB) is equl to,000 bytes. 9 KB = bytes b 43 KB = bytes c 9.6 KB = bytes d 8 MB = KB e f 4 MB = KB 7.3 MB = KB g 7 GB = MB h 56 GB = MB i j 2.4 GB = MB 6 MB = bytes 2 Round ech deciml number to the nerest whole number. 5.3 b 6.8 c 2.25 (continued on next pge) Bridges in Mthemtics Grde 5 Home Connections 53
58 Unit 3 Module 3 Session 2 Deciml Prctice pge 2 of 2 3 Round ech number to the nerest tenth b 2.09 c Round ech number to the nerest hundredth b c Add or subtrct the decimls Isbell is building tree fort. The bse of the fort is 78 inches wide by 92 inches long. Wht is the re of the bse in squre inches? Show your work. b CHALLENGE Wht is the re of the bse in squre feet? Show your work. Bridges in Mthemtics Grde 5 Home Connections 54
59 Unit 3 Module 3 Session 4 Very Smll & Very Lrge Numbers pge of 2 Write two frctions tht re equl to ech deciml number. 0. nd 0.0 nd 0.00 nd 0.05 nd 2 Complete the chrt below. Chllenge Number 0. less 0. greter 0.0 less 0.0 greter 0.00 less 0.00 greter Round ech number to the plce shown to complete the chrt below. Number Nerest tenth (0.) Look t the 0.0 plce. Nerest hundredth (0.0) Look t the 0.00 plce. Chllenge Nerest thousndth (0.00) Look t the plce (continued on next pge) Bridges in Mthemtics Grde 5 Home Connections 55
60 Unit 3 Module 3 Session 4 Very Smll & Very Lrge Numbers pge 2 of 2 4 A micrometer is onemillionth of meter ( m): ten thousnd times s short s centimeter (0.0 m). How mny micrometers long is one edge of centimeter cube? 5 The footbll tem for the University of Tennessee, the Tennessee Volunteers, plys its home gmes in the Neylnd Stdium in Knoxville, Tennessee. The stdium holds bout 00,000 people. (You cn do n imge serch on the internet to see wht this mny people looks like.) How mny stdiums would it tke to hold million people ( bit less thn the number of people living in Dlls, Texs)? b According to estimtes, there re over 300 million people living in the United Sttes. How mny Neylnd Stdiums would it tke to hold 300 million people? 6 The tble below shows the estimted popultion of different countries s of 202. Round ech number to complete the tble. Country Popultion Nerest,000,000 Nerest 00,000 Nerest 0,000 Philippines 03,775,000 04,000,000 03,800,000 03,780,000 Irn 78,868,70 Frnce 65,630,690 South Kore 48,860,500 Argentin 42,92,490 Sudn 34,206,70 Bridges in Mthemtics Grde 5 Home Connections 56
61 Unit 3 Module 4 Session 2 Division Gmes pge of 6 Note to Fmilies One wy to solve long division problem is to picture it in the form of rectngle. When you do this, the number you re dividing by is one of the dimensions nd the number being divided is the re of the rectngle. Quotients Win will help students prctice using this strtegy to sketch nd solve such problems s 50 0 nd Your fifth grder cn show you how to mke the sketches, nd there is n exmple below for your reference. There re two record sheets so you cn ply the gme twice. This Home Connection includes second division gme, Go for Zero, if you nd your child wnt to ply more chllenging gme. For Quotients Win you ll need: 2 pencils colored pencils or mrkers in 2 different colors pperclip For Go for Zero you ll need: clcultor pencils 2 gme spinners (pge 3 of 6) Instructions for Quotients Win Tke turns spinning the spinner one time ech. The plyer with the higher number gets to pick his or her color mrker or colored pencil nd go first. 2 Spin the spinner to see which problem on the gme sheet you will solve. Use your pencil nd the pperclip s spinner. 3 Mke lbeled sketch of the problem on the gme sheet nd fill in the nswer. Be sure to use your colored pencil or mrker to sketch the dimensions nd regulr pencil for the rest of the work Theo I spun 5, so I hve to do problem 5 on the gme sheet. Tht s First I ll show 0 on the side nd then strt filling in the rry until I get to 60. My rectngle turned out to be 6 long the other side, so tht s the nswer. 4 Tke turns spinning nd solving problems until you hve ech gone 3 times. If you spin the number of problem tht hs lredy been solved, spin gin until you get the number of problem tht hs not been solved yet. (You hve to use the first number tht hs not been solved.) When it s the other plyer s turn, be sure to wtch, help, nd doublecheck his or her work. 5 At the end of the gme, dd your quotients nd record your score t the bottom of the sheet. The plyer with the higher score wins. (continued on next pge) Bridges in Mthemtics Grde 5 Home Connections 57
62 Unit 3 Module 4 Session 2 Division Gmes pge 2 of 6 Instructions for Go for Zero Tke turns spinning the spinner once. The person with the higher number goes first. 2 Choose ny 3digit number tht is less thn or equl to 900. Enter it into the clcultor nd then give the clcultor to your prtner. 3 Plyer 2 uses the clcultor to reduce the number to 0 by dding, subtrcting, multiplying, or dividing by singledigit numbers other thn zero. You cn mke s mny s 5 clcultions (but no more) to get the originl number down to zero. Do your work on the clcultor, but record ech move on the record sheet. 4 Ply bck nd forth until you hve ech hd 3 turns. Then count up the totl number of clcultions you mde nd use the more or less spinner to determine the winner. If the spinner lnds on more, the plyer who mde more clcultions wins. If the spinner lnds on less, the plyer who mde fewer clcultions wins. Exmple Plyer chooses 334. Plyer 2: divides 334 by 2 to get 67 (clcultion ) subtrcts 7 from 67 to get 60 (clcultion 2) divides 60 by 8 to get 20 (clcultion 3) divides 20 by 4 to get 5 (clcultion 4) subtrcts 5 from 5 to get 0 (clcultion 5) Colin = = = = = 0 Zchry (continued on next pge) Bridges in Mthemtics Grde 5 Home Connections 58
63 Unit 3 Module 4 Session 2 Division Gmes pge 3 of 6 Gme Spinners Rip this pge crefully out of your book to ply Quotients Win or Go for Zero. Use the Quotients Win Spinner for Quotients Win nd to decide which plyer strts first in Go for Zero. Use the Go for Zero spinner to determine the winner in Go for Zero. Quotients Win Spinner Go for Zero Spinner 6 2 more less (continued on next pge) Bridges in Mthemtics Grde 5 Home Connections 59
64 Bridges in Mthemtics Grde 5 Home Connections 60
65 Unit 3 Module 4 Session 2 Division Gmes pge 4 of 6 Quotients Win Gme Sheet Plyer Color Plyer 2 Color = = = = 0 0 = 50 5 = Plyer 's Score Bridges in Mthemtics Grde 5 Home Connections 6 Plyer 2's Score (continued on next pge)
66 Unit 3 Module 4 Session 2 Division Gmes pge 5 of 6 Quotients Win Gme Sheet 2 Plyer Color Plyer 2 Color = = = = 60 0 = = Plyer 's Score Bridges in Mthemtics Grde 5 Home Connections 62 Plyer 2's Score (continued on next pge)
67 Unit 3 Module 4 Session 2 Division Gmes pge 6 of 6 Go for Zero Record Sheet Plyer Strting Number chosen by Plyer Plyer 2 Strting Number chosen by Plyer 2 Clcultion Clcultion Round Clcultion 2 Clcultion 2 Clcultion 3 Clcultion 3 Clcultion 4 Clcultion 4 Clcultion 5 Clcultion 5 Strting Number chosen by Plyer Strting Number chosen by Plyer 2 Clcultion Clcultion Round 2 Clcultion 2 Clcultion 2 Clcultion 3 Clcultion 3 Clcultion 4 Clcultion 4 Clcultion 5 Clcultion 5 Strting Number chosen by Plyer Strting Number chosen by Plyer 2 Clcultion Clcultion Round 3 Clcultion 2 Clcultion 2 Clcultion 3 Clcultion 3 Clcultion 4 Clcultion 4 Clcultion 5 Clcultion 5 Totl number of clcultions mde by plyer Totl number of clcultions mde by plyer 2 The winner of this gme is Bridges in Mthemtics Grde 5 Home Connections 63
68
69 Unit 3 Module 4 Session 3 Unit 3 Review pge of 2 Find nd lbel the loction of these numbers on the number line. It s OK to dd more mrks to the line if you need to Use the symbols >, =, nd < to compre ech pir of deciml numbers When the odometer of cr reds 35,467.29, the 5 stnds for 5,000 miles. Use expnded form to show wht ech of the other digits in the odometer reding mens. The 3 in 35, mens miles. b The 4 in 35, mens miles. c The 6 in 35, mens miles. d The 7 in 35, mens miles. e f The 2 in 35, mens of mile. The in 35, mens of mile. g The 9 in 35, mens of mile. 4 This whole grid is worth. Write t lest 3 different frctions nd 3 different deciml numbers to nme the prt tht is shded. (continued on next pge) Bridges in Mthemtics Grde 5 Home Connections 65
70 Unit 3 Module 4 Session 3 Unit 3 Review pge 2 of 2 5 Here is chrt showing the mount of rin tht fell in Bookerville over the lst four dys. Mondy Tuesdy Wednesdy Thursdy.35 inches 2.50 inches 3.06 inches 2.49 inches Bookerville hs record of 2 inches of rin in 5 dys. How much will it hve to rin on Fridy to bet the record by onetenth of n inch? Show ll of your work below. 6 Mr. Mugwump is still confused bout frctions. Use numbers, words, or lbeled sketches to show him why does not equl CHALLENGE Ssh hs kilogrm of grpes. She gives 763 grms of grpes to her sister, Kri. Kri then shres 598 grms with their twin brothers. The twins divide their grms of grpes evenly. If everyone ets ll of their grpes, how mny grms of grpes does ech person et? Bridges in Mthemtics Grde 5 Home Connections 66
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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 informationCrime Scene Documentation. Crime Scene Documentation. Taking the C.S. What should my notes include. Note Taking 9/26/2013
Crime Scene Documenttion Crime Scene Documenttion Most importnt step in C.S. processing Purpose: permnently record the condition of C.S. & physicl evidence Time consuming Documenter must be orgnized nd
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 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 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 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 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 informationDigital Design. Chapter 1: Introduction
Digitl Design Chpter : Introduction Slides to ccompny the textbook Digitl Design, with RTL Design, VHDL, nd Verilog, 2nd Edition, by, John Wiley nd Sons Publishers, 2. http://www.ddvhid.com Copyright 2
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 informationHow to Build Wealth Like Warren Buffett.
Your FREE gift for ordering How to Build Welth Like Wrren Buffett The video ABCTV 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 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 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 informationCS2204 DIGITAL LOGIC & STATE MACHINE DESIGN fall 2008
CS224 DIGITAL LOGIC & STATE MACHINE DESIGN fll 28 STAND ALONE XILINX PROJECT 2TO MULTIPLEXER. Gols : Lern how to develop stnd lone 2to multiplexer () Xilinx project during which the following re introduced
More informationCAL. NX15 DUODISPLAY QUARTZ
L. NX15 UOISPLY 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 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 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 informationMacroscopic and Microscopic Springs Procedure
Mrosopi nd Mirosopi Springs Proedure OBJECTIVE Purpose In this l you will: investigte the springlike properties of stright wire, disover the strethiness of mteril, independent of the size nd shpe of n
More informationSummer Math Calendar
Going into Third Grade Directions: Follow the daily activities to practice different math concepts. Feel free to extend any of the activities listed. When the work is completed, have a parent initial the
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 informationPB735 HD DP. Industrial Line. Automatic punch and bind machine for books and calendars
PB735 HD DP Automtic punch nd bind mchine for books nd clendrs A further step for the utomtion of double loop binding. A clever nd flexible mchine ble to punch nd bind in line up to 9/16. Using the best
More information5 th Grade MATH SUMMER PACKET ANSWERS Please attach ALL work
NAME: 5 th Grade MATH SUMMER PACKET ANSWERS Please attach ALL work DATE: 1.) 26.) 51.) 76.) 2.) 27.) 52.) 77.) 3.) 28.) 53.) 78.) 4.) 29.) 54.) 79.) 5.) 30.) 55.) 80.) 6.) 31.) 56.) 81.) 7.) 32.) 57.)
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 chrgecontrol techniques commonly used when chrging NiMI
More informationConvolutional Networks. Lecture slides for Chapter 9 of Deep Learning Ian Goodfellow
Convolutionl Networks Lecture slides for Chpter 9 of Deep Lerning In Goodfellow 20160912 Convolutionl Networks Scle up neurl networks to process very lrge imges / video sequences Sprse connections Prmeter
More informationBackground A1.1 CONTENTS
Bckground A1.1 CONTENTS 1 The Alphbet 34 2 The Indefinite Article n 58 3 Numbers 910 4 Plurls (Regulr/Irregulr) 1114 5 Personl Subject/Object Pronouns 1518 6 The verb to be 1926 7 ThisThese /
More informationLecture 16. Double integrals. Dan Nichols MATH 233, Spring 2018 University of Massachusetts.
Leture 16 Double integrls Dn Nihols nihols@mth.umss.edu MATH 233, Spring 218 University of Msshusetts Mrh 27, 218 (2) iemnn sums for funtions of one vrible Let f(x) on [, b]. We n estimte the re under
More informationThis book belongs to
This book belongs to This book was made for your convenience. It is available for printing from the website. It contains all of the printables from Easy Peasy's Math 4 course. The instructions for each
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 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 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 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 informationFirst Name: Last Name: Select the one best answer for each question. DO NOT use a calculator in completing this packet.
5 Entering 5 th Grade Summer Math Packet First Name: Last Name: 5 th Grade Teacher: I have checked the work completed: Parent Signature Select the one best answer for each question. DO NOT use a calculator
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 informationEssentials. Week by. Week
Week by Week MATHEMATICS Essentials Grade WEEK 2 = 9 Fun with Multiplication If you had six of each of these polygons, how many angles would you have? Seeing Math Describe your observations about the number
More informationMinute Simplify: 12( ) = 3. Circle all of the following equal to : % Cross out the threedimensional shape.
Minute 1 1. Simplify: 1( + 7 + 1) =. 7 = 10 10. Circle all of the following equal to : 0. 0% 5 100. 10 = 5 5. Cross out the threedimensional shape. 6. Each side of the regular pentagon is 5 centimeters.
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 informationEXCELLENCE IN MATHEMATICS EIGHTH GRADE TEST CHANDLERGILBERT COMMUNITY COLLEGE S. FOURTEENTH ANNUAL MATHEMATICS CONTEST SATURDAY, JANUARY 25 th, 2014
EXELLENE IN MTHEMTIS EIGHTH GRDE TEST HNDLERGILERT OMMUNITY OLLEGE S FOURTEENTH NNUL MTHEMTIS ONTEST STURDY, JNURY 5 th, 0. DO NOT OPEN YOUR TEST OOKLET OR EGIN WORK UNTIL YOU RE TOLD TO DO SO Y YOUR
More informationSTUDENT CODEBOOK WAVE 1. NOTE: All variables that need to be reversecoded are already reversecoded 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 reversecoded
More informationGrade Four. Classroom. Strategies. Blackline Masters
Grade Four Classroom Strategies Blackline Masters Classroom Strategies Blackline Master 1 2 Classroom Strategies Blackline smaster 8 9 6 7 4 5 2 3 0 1 Classroom Strategies Blackline Master I  1 3 / /
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 informationAQA Level 2 Further mathematics Further algebra. Section 3: Inequalities and indices
AQA Level Further mthemtics Further lgebr Sectio : Iequlities d idices Notes d Emples These otes coti subsectios o Iequlities Lier iequlities Qudrtic iequlities Multiplyig epressios The rules of idices
More informationSmiley Face Math Grade 2, Worksheet I
Section 2 Smiley Face Math Grade 2, Worksheet I Name 1. Complete the two patterns. 448, 458, 468,,, 498,, 518 285, 385, 485, 585,,,,,1085 2. Jackson ate a cookie at 1:00. He ate another cookie every 2½
More information