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Peer - AssistedLearningStrategies2nd Grade34450682412Math Methods for Grades 2-62009 Revised EditionLynn S. Fuchs, Douglas Fuchs,Kathy Karns, Norris PhillipsSupport for the development of this manual wasprovided in part by Grant #180E2004 from the Officeof Special Education Programs in the U.S. Department ofEducation, and Core Grant # HD15052 from the NationalInstitute of Child Health and Human Development.PALS6

Dear Educator,Thank you for your interest in Math PALS. Math PALS comprises two major activitiesfor each skill area: 1) Coaching, in which students teach each other math skills; and, 2)Practice, a mixed problem-type timed drill that incorporates the type of problemaddressed during that day’s Coaching, as well as easier problem types. To implementMath PALS for 2nd Grade you will need both the Teacher’s Math Manual for Grades 2 –6 and the PALS 2nd Grade Student Math Materials Manual.These pages from the PALS 2nd Grade Student Math Materials Manual are providedas a courtesy to allow you to preview a representative sampling of the manual. Thisexcerpt includes a sample of both Computation skills, which will include addition,subtraction, multiplication, and division, along with Application skills which will include avariety of topics from counting to fractions to word problems. This excerpt includes thefollowing sections:1. Computationa. 2A1: Adding basic factsb. 2S2: Subtracting without regrouping2. Applicationsa. 2AC: Applied computationb. 2WP1: Word problemsThis excerpt is protected by Federal Law Title 17 of the United States Code. Thereproduction, distribution, and display of any part of the contents of this material areprohibited.If you have questions, please contact Lynn Davies at lynn.a.davies@vanderbilt.edu.Regards,Lynn DaviesProgram ManagerVanderbilt University110 Magnolia Circle, Suite 418Nashville, TN 37203Vanderbilt UniversityPMB 228110 Magnolia Circle, Suite 418Nashville, TN 37203P: 615.343.4782F: 615.936.5803

DO NOT REPRODUCE WITHOUT THE WRITTENCONSENT OF THE AUTHORSPALS is defined as a literary work and as such thereproduction, distribution, and display of PALS materials isprotected by Federal Law, Title 17 of the United States Code.The reproduction, distribution, and display of any part of thecontents of this manual is strictly limited to activitiesintended for use with students in a single classroom by theinstructor for whom this manual was purchased. The legalpenalties of violating any of the copyright owner’s exclusiverights granted by the Federal Copyright Act include, but arenot limited to, a fine of up to 150,000 and imprisonment.The copyright owners of PALS reserve the right to pursuelegal action for any known acts of copyright infringement.

GRADE 2COMPUTATIONFOCUS2A1Adding basic factsBasic facts (0-18)2A2Adding without regrouping1-digit & 2-digit2A3Adding with regrouping1-digit & 2-digit2S1Subtracting basic factsBasic facts (0-18)2S2Subtracting without regrouping 1-digit, 2-digit, & 3-digit2S3Subtracting with regrouping1-digit, 2-digit & 3-digitAPPLICATIONS2ACApplied computationFilling in blanks in addition and subtraction problems2CGCharts and graphsReading and interpreting bar graphs2CtCountingCounting by increments of 2, 5, or 102FrFractionsWriting fractions from shaded figures2Me12Me2MeasurementMeasurementTelling time (to 30 minute intervals)Telling time (to 15 minute intervals)2MnMoneyCounting picture money (coins)2NCNumber conceptsComparing numbers ( , , )2NNNames of numbersWord form to number form (1-99)2WP12WP2Word problemsWord problemsAddition, subtraction, and money (1-digit)Addition, subtraction, and money (2-digit)Manual update: 2011

Grade 2Computation

Adding Basic FactsCoach’s Question SheetLook at the sign.What kind of problem is it?1.What plus what?2.Is your answer 10 or more? Do you need to regroup?If yes, use both boxes.3.Write your answer.2A1

Adding Basic FactsCoaching Answer SheetPlayer’s Name2A1 Day 1DateCoach’s Name 97 1 6369 281 0Tens OnesTens OnesTens Ones574385 71 2 1 3Tens OnesTens OnesTens Ones647258 1 09 1 3Tens OnesTens OnesTens Ones657754 1 11 4Tens OnesTens Ones 9Tens Ones

Adding Basic FactsCoaching Answer SheetPlayer’s Name2A1 Day 2DateCoach’s Name 88 68 451 61 4Tens OnesTens OnesTens Ones566375 1 199 1 2Tens OnesTens OnesTens Ones295393 1 18 1 2Tens OnesTens OnesTens Ones663447 1 2Tens Ones 7Tens Ones 1 1Tens Ones

Adding Basic FactsCoaching Answer SheetPlayer’s Name2A1 Day 3DateCoach’s Name 336 83 461 11 0Tens OnesTens OnesTens Ones781859 1 59 1 4Tens OnesTens OnesTens Ones552774 1 09 1 1Tens OnesTens OnesTens Ones678634 1 31 4Tens OnesTens Ones 7Tens Ones

Adding Basic FactsCoaching Answer SheetPlayer’s Name2A1 Day 4DateCoach’s Name 459 38 841 11 2Tens OnesTens OnesTens Ones379832 1 01 7Tens OnesTens OnesTens Ones734494 1 085 1 3Tens OnesTens OnesTens Ones696148 1 5Tens Ones 7Tens Ones 1 2Tens Ones

2A1 Day 1Adding Basic FactsPractice SheetNameDateScored byAB 67FC 54GKHL4 2P7 7V 357 58 49 2T4 9X8 33 3OSW1 61 81 66 9JNR9 97 86 28 4EIMQU6 55 53 7D2 8Y9 47 7

2A1 Day 2Adding Basic FactsPractice SheetNameDateScored byAB 22FC 45GKHL3 6P6 4V 244 15 27 2T7 6X1 28 1OSW6 67 93 82 9JNR7 33 44 62 1EIMQU5 78 82 7D7 4Y6 13 7

2A1 Day 3Adding Basic FactsPractice SheetNameDateScored byAB 43FC 68GKHL1 3P4 8V5 99 38 92 6T1 7X9 79 5OSW7 38 77 96 3JNR8 53 95 64 4EIMQU5 13 29 1D3 1Y2 58 2

2A1 Day 4Adding Basic FactsPractice SheetNameDateScored byAB 15FC 63GKHL8 2P1 1V1 48 79 64 1T2 7X5 23 8OSW3 36 76 93 2JNR7 12 34 45 6EIMQU8 61 99 8D5 8Y8 99 4

2A1Adding Basic FactsPractice Answer SheetDay 2Day JNRV12118EIMQU659Day 4DH57129OSWDay 1897AJNRV15812EIMQU11106D13Y1713

Adding Basic FactsCoaching SheetPlayer’s Name2A1 Day 1DateCoach’s Name 97 36 28Tens OnesTens OnesTens Ones574385 Tens OnesTens OnesTens Ones647258 Tens OnesTens OnesTens Ones657754 Tens Ones Tens Ones Tens Ones

Adding Basic FactsCoaching SheetPlayer’s Name2A1 Day 2DateCoach’s Name 88 68 45Tens OnesTens OnesTens Ones566375 Tens OnesTens OnesTens Ones295393 Tens OnesTens OnesTens Ones663447 Tens Ones Tens Ones Tens Ones

Adding Basic FactsCoaching SheetPlayer’s Name2A1 Day 3DateCoach’s Name 33 83 46Tens OnesTens OnesTens Ones781859 Tens OnesTens OnesTens Ones552774 Tens OnesTens OnesTens Ones678634 Tens Ones Tens Ones Tens Ones

Adding Basic FactsCoaching SheetPlayer’s Name2A1 Day 4DateCoach’s Name 45 38 84Tens OnesTens OnesTens Ones379832 Tens OnesTens OnesTens Ones734494 Tens OnesTens OnesTens Ones696148 Tens Ones Tens Ones Tens Ones

2A1 Day 1Adding Basic FactsPractice SheetNameDateScored byAB 67FC 54GKHL4 2P7 7V 357 58 49 2T4 9X8 33 3OSW1 61 81 66 9JNR9 97 86 28 4EIMQU6 55 53 7D2 8Y9 47 7

2A1 Day 2Adding Basic FactsPractice SheetNameDateScored byAB 22FC 45GKHL3 6P6 4V 244 15 27 2T7 6X1 28 1OSW6 67 93 82 9JNR7 33 44 62 1EIMQU5 78 82 7D7 4Y6 13 7

2A1 Day 3Adding Basic FactsPractice SheetNameDateScored byAB 43FC 68GKHL1 3P4 8V5 99 38 92 6T1 7X9 79 5OSW7 38 77 96 3JNR8 53 95 64 4EIMQU5 13 29 1D3 1Y2 58 2

2A1 Day 4Adding Basic FactsPractice SheetNameDateScored byAB 15FC 63GKHL8 2P1 1V1 48 79 64 1T2 7X5 23 8OSW3 36 76 93 2JNR7 12 34 45 6EIMQU8 61 99 8D5 8Y8 99 4

Subtracting Without RegroupingCoach’s Question SheetLook at the sign.What kind of problem is it?Where do you move next?1.What minus what?2.Write your answer.3.Where do you move next?2S2

Subtracting Without RegroupingCoaching Answer SheetPlayer’s Name2S2 Day 1DateCoach’s Name43- 24138- 152 3146- 25121358- 15343439- 33406229- 1221721- 12078176177- 57238- 830125- 12113-481236-

Subtracting Without RegroupingCoaching Answer SheetPlayer’s Name2S2 Day 2DateCoach’s Name56- 452473611473- 12461646- 24622574- 63511617- 1560277- 67165343188- 68248- 741446- 44402-956431--

Subtracting Without RegroupingCoaching Answer SheetPlayer’s Name2S2 Day 3DateCoach’s Name38- 632856223865- 53812755- 31724761- 50711748- 3871086- 38349252467- 46373- 271785- 21764-766610--

Subtracting Without RegroupingCoaching Answer SheetPlayer’s Name2S2 Day 4DateCoach’s Name77- 473473413757- 43714964- 50914862- 11851853- 4181276- 47276463095- 19485- 481597- 87510-893554--

2S2 Day 1Subtracting Without RegroupingPractice SheetNameDateScored byAB-84 1341FCG92- 20KHL-P12- 546 6V36- 21IM41 9N13- 7RJ11- 1187 11792- 6048 21T56 23X93- 115- 8OSW17- 12E67- 557- 267 10QU478- 7633- 365D212- 12Y5- 023 35

2S2 Day 2Subtracting Without RegroupingPractice SheetNameDateScored byABC14- 9F-92G56 10K5430LP 780Q13- 9IM10- 84- 349 10441- 2172- 055- 55T83 14X353- 1154 9OSW80 12JNRVE35- 4134- 2215- 884- 70U61- 11H 46- 0D13- 10Y39 4089- 7

2S2 Day 3Subtracting Without RegroupingPractice SheetNameDateScored byAB72- 0FCKH76- 281 17L76 12P86- 1U-113546- 463- 2T68- 25551- 2128 60X53- 0 348OSW26 53 11- 44- 0JNRV474514- 98- 4144- 3213- 9IMQE22 34343- 11GDY72- 7229 4

2S2 Day 4Subtracting Without RegroupingPractice SheetNameDateScored byAB-3332FC55- 1KHL42 56PM65 20Q58- 8U-82W69 10J382- 80OS18 492- 15- 228- 1847 21779- 3966 4NRV55- 0I66- 3318- 9E72- 6217- 865 24GDT34 44X15- 8Y-97298- 80

2S2Subtracting Without RegroupingPractice Answer SheetDay 0BFOSW112467AJNRV454EIMQU56740Day 4DH42072218OSWDay FOSW7146AJNRV625577EIMQU402301DHLDay 27Y2218

Subtracting Without RegroupingCoaching SheetPlayer’s Name2S2 Day 1DateCoach’s Name43- 23815146- 25358- 15439- 33229- 1221- 1781777- 538- 8125- 12-4812--

Subtracting Without RegroupingCoaching SheetPlayer’s Name2S2 Day 2DateCoach’s Name56- 44736473- 12646- 24574- 63617- 1577- 6653488- 648- 7446- 44-9564--

Subtracting Without RegroupingCoaching SheetPlayer’s Name2S2 Day 3DateCoach’s Name38- 68562865- 53755- 31761- 50748- 3886- 3492567- 473- 2785- 21-7666--

Subtracting Without RegroupingCoaching SheetPlayer’s Name2S2 Day 4DateCoach’s Name77- 44734757- 43964- 50862- 11853- 4176- 4764695- 185- 4597- 87-8935--

2S2 Day 1Subtracting Without RegroupingPractice SheetNameDateScored byAB-84 1341FCG92- 20KHL-P12- 546 6V36- 21IM41 9N13- 7RJ11- 1187 11792- 6048 21T56 23X93- 115- 8OSW17- 12E67- 557- 267 10QU478- 7633- 365D212- 12Y5- 023 35

2S2 Day 2Subtracting Without RegroupingPractice SheetNameDateScored byABC14- 9F-92G56 10K5430LP 780Q13- 9IM10- 84- 349 10441- 2172- 055- 55T83 14X353- 1154 9OSW80 12JNRVE35- 4134- 2215- 884- 70U61- 11H 46- 0D13- 10Y39 4089- 7

2S2 Day 3Subtracting Without RegroupingPractice SheetNameDateScored byAB72- 0FCKH76- 281 17L76 12P86- 1U-113546- 463- 2T68- 25551- 2128 60X53- 0 348OSW26 53 11- 44- 0JNRV474514- 98- 4144- 3213- 9IMQE22 34343- 11GDY72- 7229 4

2S2 Day 4Subtracting Without RegroupingPractice SheetNameDateScored byAB-3332FC55- 1KHL42 56PM65 20Q58- 8U-82W69 10J382- 80OS18 492- 15- 228- 1847 21779- 3966 4NRV55- 0I66- 3318- 9E72- 6217- 865 24GDT34 44X15- 8Y-97298- 80

Grade 2Applications

Applied ComputationCoach’s Question Sheet1.What kind of problem is it?2.Read the problem aloud.3.Fill in the blank.2AC

2AC Day 1Applied ComputationCoaching Answer SheetNameDateScored byWrite the number in the blank. (1 point each.)4 8 1 210-6 -3 3510 7 12 81 2923 1 2 5 1053 5 89 5 145 3 8 3 99 1 1016 - 96 6 129 2 1113-5 8 7 1 568 -810 - 7 2 4749 - 3 5 96 35 18 -72 9 39 9

2AC Day 2Applied ComputationCoaching Answer SheetNameDateScored byWrite the number in the blank. (1 point each.)7 7 149 -5 445 -3 215 -2 6 814 -9 575 810- 3 1 09 6 149 6 15 8 125 2 774 6 10 8 4 129 -82 9 114 55 217- 1 79 -69 - 387 - 1471 813 - 185 9 9 48 5

2AC Day 3Applied ComputationCoaching Answer SheetNameDateScored byWrite the number in the blank. (1 point each.)5 815-85 -2 32 5 79 -863 8 138- 7 17 3 10 9 163 5 8 77 4 113 6 914 -9 7 1 64 719 - 11 8 16 18 - 6 1 287716 -5 29- 8 914- 14 -666 8 10 392 5 2

2AC Day 4Applied ComputationCoaching Answer SheetNameDateScored byWrite the number in the blank. (1 point each.)2 9-6 855-4 4313 - 13 7 101 5 6 79 9 18 3 611 -6 53 8 117 8 1510 -4 66 -2 43 5 87 4 11715-6 9 1 611-4 7 47 -88 8 9 1 748 - 12 5 13658 -4 14 3

2AC Day 1Applied ComputationPractice SheetNameDateScored byWrite the number in the blank. (1 point each.)A. 4 12D. 6 -B. 1 0 - 3E.G. 1 0 - 3H. 1 2 -J. 7 9K. 2 5 10 3 1 1 0C. 5 8F. 5 14I. 5 8L. 1 6 -Solve. (1 point each)M. N. O. P. Q.121619-7-3 8 814744R. S. T. U. V.- 2 7 433W. X. Y. 4 8-1 25 917- 914- 8

2AC Day 2Applied ComputationPractice SheetNameDateScored byWrite the number in the blank. (1 point each.)A. 8 14B. 7 -D. 1 0 - 6E.G. 1 3 - 4H. 6 -J. 3 8K. 5 3 11 1C. 3 10F. 5 12I. 7 1 2 2 9L. 4 - 2Solve. (1 point each)M. N. O. P. Q.18139715- 81131210R. S. T. U. V.14- 4-2- 6-7 5 3 368W. X. Y. 6 2 4-911 7

2AC Day 3Applied ComputationPractice SheetNameDateScored byWrite the number in the blank. (1 point each.)A. 4 13B. 9 -D. 5 - 2E.G. 8 - 4H. 8 -J. 2 11K. 1C. 9 15 4 7F. 8 12 7I. 3 9 4 10L. 1 3 - 8Solve. (1 point each)M. N. O. P. Q.1786611- 49536R. S. T. U. V.19- 9-9- 3-5 28W. 8 7 8 712X. 5Y.-4 92

2AC Day 4Applied ComputationPractice SheetNameDateScored byWrite the number in the blank. (1 point each.)A. 7 15D. 1 1 -B. 7 - 4E. 3 6 10G. 6 - 5H. 1 5 -J. 4 11K. 8C. 9 14F. 3 9I. 9 1 7 7 10L. 4 - 3Solve. (1 point each)M. N. O. P. Q.1211415-6-5 7 31711109R. S. T. U. V.- 9 86W. 6 39X. 7-Y.210 4-81-73

2ACApplied ComputationPractice Answer SheetDay 18D. 3G. 7J. 28E. 5H. 9K. 9A.Day 26D. 4G. 9J. 53F. 9I. 3L. 7B.2E. 8H. 5K. 5A.C.7F. 7I. 7L. R.S.T.U.V.12148365815110W.X.Y.W.X.Y.7117121018Day 39D. 3G. 4J. 98E. 3H. 1K. 6A.Day 46F. 4I. 6L. 5B.8D. 7G. 1J. 74E. 4H. 7K. 8A.C.5F. 6I. 3L. .S.T.U.V.67102108191374W.X.Y.W.X.Y.161711121614

2AC Day 1Applied ComputationCoaching SheetNameDateScored byWrite the number in the blank. (1 point each.)4 1 26 - 310 - 17 12 - 2 5 8 5 108 - 5 14 3 9 1 1016 - 9 6 1 29 11 313- 8 5 95 - 7 1 51 10-10 - 7 2 49 - 318 - 3 8 9 3 9

2AC Day 2Applied ComputationCoaching SheetNameDateScored byWrite the number in the blank. (1 point each.)7 1 49 - 45 - 22 8 4 129 -14 - 5 9 114 917- 9 3 1 05 10- 8 1215 -7 - 1 4 6 14 3 2 7 8 2 1 79 - 6 15 8 6 109 13 - 1 4 5

2AC Day 3Applied ComputationCoaching SheetNameDateScored byWrite the number in the blank. (1 point each.)5 138-15- 75 - 32 79 - 1 6 1 23 8 -9 - 11 8 16 1 9 16 5 8 7 4 11 6 914 - 8 7 1 64 10 29- 8 96 - 3 10 1144 - 3 5 2

2AC Day 4Applied ComputationCoaching SheetNameDateScored byWrite the number in the blank. (1 point each.)2 89- 411 - 53 116 -13 - 4 9 1 78 5-8 - 12 5 13 1 3 6 5 6 7 9 18 8 1510 - 6 5 87 11 115- 911- 7 1 68 - 7 10 47 - 3

2AC Day 1Applied ComputationPractice SheetNameDateScored byWrite the number in the blank. (1 point each.)A. 4 12D. 6 -B. 1 0 - 3E.G. 1 0 - 3H. 1 2 -J. 7 9K. 2 5 10 3 1 1 0C. 5 8F. 5 14I. 5 8L. 1 6 -Solve. (1 point each)M. N. O. P. Q.121619-7-3 8 814744R. S. T. U. V.- 2 7 433W. X. Y. 4 8-1 25 917- 914- 8

2AC Day 2Applied ComputationPractice SheetNameDateScored byWrite the number in the blank. (1 point each.)A. 8 14B. 7 -D. 1 0 - 6E.G. 1 3 - 4H. 6 -J. 3 8K. 5 3 11 1C. 3 10F. 5 12I. 7 1 2 2 9L. 4 - 2Solve. (1 point each)M. N. O. P. Q.18139715- 81131210R. S. T. U. V.14- 4-2- 6-7 5 3 368W. X. Y. 6 2 4-911 7

2AC Day 3Applied ComputationPractice SheetNameDateScored byWrite the number in the blank. (1 point each.)A. 4 13B. 9 -D. 5 - 2E.G. 8 - 4H. 8 -J. 2 11K. 1C. 9 15 4 7F. 8 12 7I. 3 9 4 10L. 1 3 - 8Solve. (1 point each)M. N. O. P. Q.1786611- 49536R. S. T. U. V.19- 9-9- 3-5 28W. 8 7 8 712X. 5Y.-4 92

2AC Day 4Applied ComputationPractice SheetNameDateScored byWrite the number in the blank. (1 point each.)A. 7 15D. 1 1 -B. 7 - 4E. 3 6 10G. 6 - 5H. 1 5 -J. 4 11K. 8C. 9 14F. 3 9I. 9 1 7 7 10L. 4 - 3Solve. (1 point each)M. N. O. P. Q.1211415-6-5 7 31711109R. S. T. U. V.- 9 86W. 6 39X. 7-Y.210 4-81-73

Word ProblemsCoach’s Question Sheet1.Read the problem aloud.2.What do you need to find out?3.Do you need to add or subtract?4.Do it.5.Write your answer in the blank.6.Does your answer need a sign?2WP1

Word ProblemsCoaching Answer SheetPlayer’s Name2WP1 Day 1DateCoach’s NameAmy had 5 fish. She bought 4more. How many does she havenow?95 49Sam had 14 . He lost 5 . Howmuch money does he have now?9 14 - 5 9 Eric had 6 . His mother gave him5 . How much money does hehave now?11 6 5 11 Tom has 8 . Sam has 15 . Howmuch more does Sam have?7 15 - 8 7 There are 10 problems. James hasdone 6. How many more does hehave to do?410- 64My class has 12 boys and 8 girls.How many more boys are there?12- 844Holly had 12 crayons. She gave 3to Cathy. How many crayons doesHolly have now?912- 39Matt spent 8 for a pencil and 6 for an eraser. How much did hespend?14 8 6 1 4

Word ProblemsCoaching Answer SheetPlayer’s Name2WP1 Day 2DateCoach’s NameDan has 4 and Kris has 3 . Howmuch do they have together?The toy costs 10 . Gary has 3 .How much more does he need?4 3 7 7 Rosa had 10 stamps. She used 5.How many does she have now?10- 555Katy saw 6 dogs and 5 cats. Howmany animals did she see?6 5111 112 - 8 4 There are 8 girls and 8 boys at theparty. How many children arethere in all?1 68 816There are 11 people and only 7chairs. How many more chairs areneeded?411- 74Ann had 12 . She lost 8 . Howmuch does she have now?10 - 3 7 7 4 Jenny had 8 . She found 7 . Howmuch does she have now?8 7 1 5 1 5

Word ProblemsCoaching Answer SheetPlayer’s Name2WP1 Day 3DateCoach’s NameBeth made 12 cookies. She ate 3.How many are left?12- 399Lee had 12 . He spent 7 for apencil. How much does he havenow?5 12 - 7 5 Mary got 4 books. Her mom got 8.How many did they get in all?David paid 5 for gum and 6 fora sticker. How much did he spend?4 8121 2Mike had 8 . His dad gave him 5 .How much does he have now?8 5 1 3 12- 93Amy had 17 . She spent 8 . Howmuch does she have now?1 3 17 - 8 9 Rob has 12 tapes. Susie has 9.How many more does Rob have?5 6 1 1 31 1 9 Justin has 6 toys. His brother has8. How many do they ahve in all?6 8141 4

Word ProblemsCoaching Answer SheetPlayer’s Name2WP1 Day 4DateCoach’s NameDavid had 15 . He lost 6 . Howmuch money does he have left?15 - 6 9 9 John found 7 shells. Alan found 9.How many did they find in all?7 9161 6There were 12 pieces of candy inthe box. Mary ate 5. How manyare left?7Abby spent 5 for gum and 5 forcandy. How much did she spendin all?1 0 Andy found 3 on the floor and8 in the car. How much did hefind in all?1 1 There were 12 pens in a box.Emma took 4. How many are left?12- 573 8 1 1 There were 7 girls and 8 boys onthe team. How many childrenwere on the team?1 57 8155 5 1 0 12- 488Bill has 6 . The ca

Math PALS for 2nd Grade you will need both the Teacher’s Math Manual for Grades 2 – 6 and the PALS 2nd Grade Student Math Materials Manual. These pages from the PALS 2nd Grade Student Math Materials Manual are provided as a courtesy to allow you to preview a representative sampling

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