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My Math Path 3 at a GlanceBook A1 Numbers to 10002 Addition up to 10003 Subtraction up to 1000ACCESS THE DEMO VERSION OF THE MY MATHPATH GRADE 3 ONLINE TEACHING CENTRE (OTC)FOR FREE!Features include:Book B7 Length11 Money8 Mass12 Multiplication Facts for 3, 4, 6, and 79 Capacity13 Using Bar Models: Multiplication andDivision10 Mental Math and Estimation Indigenous Connections through meaningful and authenticactivitiesBook C Revisit and Enrichment Blackline Masters to differentiateinstruction Virtual Manipulatives and Games to model concepts andenhance instructionA3ABCThe Teacher’s Resource includes the following: Chapter Overviews and Planning Guides for easy lesson preparation Built-in assessment opportunities to check for student understanding18 2-D and 3-D Geometry15 Fractions19 Graphs and Tables16 Time and Temperature20 Probability17 Angles and LinesAccess your demo now!nelson.com/mmp3 OTCdemo Math Background, outlining the mathematical significance of key concepts Cross-Curricular Connections that tie chapter topics to other subjects Differentiating Instruction opportunities for all learners14 Area and PerimeterPlease visitTeacher’s ResourceTeacher’s ResourceThe My Math Path 3 components work together to support student successand mathematical mastery.MY MATH PATH 33A5 Multiplication and Division6 Multiplication Facts for 2 and 5 Additional teaching materials that support the detailed lessonsfound in the print Teacher’s Resource Extra practice Blackline Masters to reinforce lesson conceptsand allow independent practice4 Using Bar Models: Addition andSubtractionTeacher’s Resource Access to the Online Teaching Centre, which includes a Program Overview;Online Workbook, Revisit, and Enrichment; Blackline Masters; VirtualManipulatives; Games; and activities that support Indigenous ways of knowingMy Math Path 3 components:Student Booksmmp3a ontr cover.indd All PagesTeacher’s Resource2019-11-19 3:39 PMFor assistance contact Customer Support atE-mail: inquire@nelson.comPhone: 1-800-268-222My Math Path 3 at a Glanceiii
Learn about the research andefficacy behind Singapore Math and Nelson’s My Math Path3ATeacher’s ResourceConsultant and AuthorDr. Fong Ho KheongAuthorsChelvi Ramakrishnan, Gan Kee Soon, and Michelle ChooCanadian Curriculum AdvisorDr. Douglas EdgeCanadian Program AdvisorJean FordCanadian Indigenous ReviewersRachel CosfordBetty Ann Gowlandnelson.com/MMPCanadianReport
Table of ContentsBookAPlease visit the Online Teaching Centre for Program Overview, Scope and Sequence, and Planning Chart.ChapterChapter1Numbers to 1000Chapter Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1ADifferentiation Resources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1BAssessment and Remediation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1CChapter Planning Guide . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1EChapter Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1Recall Prior Knowledge and Quick Check . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .2–31Counting . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 92Addition up to 1000Chapter Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45ADifferentiation Resources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45BAssessment and Remediation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45CChapter Planning Guide . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45EChapter Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .45Recall Prior Knowledge and Quick Check . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .46–471Learn Add by Using the Make 10 Strategy Add by Using a Doubles Fact Subtract by UsingNumber BondsLearn Read and Write Numbers to 100 in Word Form Use Base 10 Blocks to Show Numbers Use Base 10 Blocks to Count Forward by 1 Use Base 10 Blocks to Count Forward by 10 Use Base 10 Blocks to Count Forward by 10022Standard Form and Expanded Form3Comparing Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24Learn Use Base 10 Blocks to Compare Numbers Use Number Lines to Compare NumbersGame Roll and Show!4Order and Patterns . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3145Addition with Regrouping in Ones and Tens . . . . . . . . . . . . . . . . . . . . . 66Learn Add Using Base 10 Blocks and a Place-Value Chart to Regroup Ones and TensGame Go for the Greatest!Let’s Explore Investigate the Relationship between Addition and SubtractionMath Journalin a Pattern Use a Number Line or a Calculator to Find the Missing Numbers in a PatternChapter Wrap Up . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .43–44Addition with Regrouping in Tens . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63Learn Add Using Base 10 Blocks and a Place-Value Chart to Regroup TensLearn Use Place-Value Charts to Order Numbers Use a Number Line to Find the Missing NumberMath JournalGame Roll and Count!Let’s Explore Number PatternsPut on Your Thinking Cap! . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .43–44Addition with Regrouping in Ones . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .59Learn Add Using Base 10 Blocks and a Place-Value Chart to Regroup OnesGame Make a Hundred!Game Show the Number!3Addition without Regrouping . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .55Learn Add Using Base 10 Blocks and a Place-Value ChartPlace Value . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16Learn Use Base 10 Blocks and a Place-Value Chart to Show a Number Write Numbers inAddition and Subtraction Facts within 20 . . . . . . . . . . . . . . . . . . . . . . . . . . .516Addition Patterns. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73Learn Make Number Patterns Using Addition Describe Geometric Patterns Using NumbersMath JournalPut on Your Thinking Cap! . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .77–78Chapter Wrap Up . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .79–80ivMy Math Path Teacher’s Resource 3ATable of Contentsv
BookChapter3ChapterSubtraction up to 1000Chapter Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81ADifferentiation Resources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81BAssessment and Remediation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81CChapter Planning Guide . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81EChapter Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .81Recall Prior Knowledge and Quick Check . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .82–831Subtraction without Regrouping . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 884Using Bar Models: Addition and SubtractionChapter Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 122ADifferentiation Resources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 122BAssessment and Remediation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 122CChapter Planning Guide . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 122DChapter Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .122Recall Prior Knowledge and Quick Check . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 123–1241Subtraction with Regrouping in Tens and Ones . . . . . . . . . . . . . . . . . . 94Learn Subtract Using Base 10 Blocks and a Place-Value Chart to Regroup Tens and OnesMath Journal34Hands-On Activity Write Real-World Problems and Draw Bar Models2SubtractHands-On Activity Write Real-World Problems and Draw Bar ModelsMath Journal3. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111to SubtractHands-On Activity Show Real-World Problems with Bar Models4Subtraction Patterns . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 116Learn Make Number Patterns Using SubtractionPut on Your Thinking Cap! . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .118–119Chapter Wrap Up . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .120–121viMy Math Path Teacher’s Resource 3AMeaning of Sum and Difference . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 148Learn You Can Relate Sum to the Addition Operation You Can Relate Difference to theLearn Subtract from Numbers with Zeros Using Base 10 Blocks and a Place-Value ChartMath Journal6Comparing Two Sets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 142Learn Use Bar Models to Show Comparing Sets to Add Use Bar Models to Show Comparing SetsSubtraction with Regrouping in Hundred, Tens, and Ones . . . . 105Subtraction across ZerosAdding On and Taking Away Sets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 136Learn Use Bar Models to Show Joining Sets to Add Use Bar Models to Show Taking Away Sets toLearn Subtract Using Base 10 Blocks and a Place-Value Chart to Regroup Hundreds, Tens, and Ones5. . . . . . . . . . 127Numbers Involving Addition and SubtractionSubtraction with Regrouping in Hundreds and Tens . . . . . . . . . . . . 99Learn Subtract Using Base 10 Blocks and a Place-Value Chart to Regroup Hundreds and TensGame Break a Hundred!Using Part-Part-Whole in Addition and SubtractionLearn Use Bar Models to Add Use Bar Models to Subtract Use Bar Models to Find MissingLearn Subtract Using Base 10 Blocks and a Place-Value ChartMath Journal2ASubtraction Operation5Real-World Problems: Two-Step Problems. . . . . . . . . . . . . . . . . . . . . 152Learn Use Bar Models to Solve Two-Step ProblemsMath JournalPut on Your Thinking Cap! . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 158Chapter Wrap Up . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .159–160Table of Contentsvii
BookChapterChapter5AMultiplication and DivisionChapter Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 161ADifferentiation Resources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 161BAssessment and Remediation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 161CChapter Planning Guide . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 161EChapter Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .161Recall Prior Knowledge and Quick Check . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1621How to Multiply . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 164Learn Multiply Using Equal Groups Multiply by One and Zero Make Multiplication StoriesLet’s Explore Multiply by One and Zero Multiplication Is Counting Equal GroupsMath Journal2How to Divide . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1746Multiplication Facts for 2 and 5Chapter Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 189ADifferentiation Resources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 189BAssessment and Remediation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 189CChapter Planning Guide . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 189EChapter Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .189Recall Prior Knowledge and Quick Check . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1901Learn Skip Count by 2 Use Known Doubles Facts to Find Other Multiplication Facts Use KnownMultiplication Facts to Find Other Multiplication Facts Multiply Numbers in Any Order2 Use Shortcuts to Find Multiplication Facts Multiply Numbers in Any Order Record Repeated Subtraction in a Number SentenceMath JournalHands-On Activity Make Equal Groups and Write the Division SentencesReal-World Problems: Multiplication and Division . . . . . . . . . . . . 182Multiplying 5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .201Game Skip Fives! Coin and Number Card Game Spin and MultiplyLearn Skip Count by 5 Use Known Doubles Facts to Find Other Multiplication FactsLearn Share Equally in Division Divide by Using Repeated Subtraction of Equal Groups3Multiplying 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1933Divide Using Related Multiplication Facts . . . . . . . . . . . . . . . . . . . . . . . . .213Learn Use Related Multiplication Facts to Divide When Sharing Equally Use RelatedLearn Read, Understand, and Solve Multiplication Problems Read, Understand, and SolveMultiplication Facts to Divide When Putting Things in Equal GroupsDivision ProblemsLet’s Explore Draw Diagrams to Find Solutions to a Real-World ProblemPut on Your Thinking Cap! . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .187–188Chapter Wrap Up . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .187–1884Odd and Even Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .217Learn Make Groups of 2 to Find Odd and Even Numbers An Even Number Has TwoParts That Are the SameLet’s Explore Stack Groups of 4 to Find Odd and Even NumbersPut on Your Thinking Cap! . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .223–224Chapter Wrap Up . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .223–224Look for Assessment OpportunitiesviiiLook for Practice and Problem SolvingStudent BookOnline Workbook Quick Check at the beginning of everychapter to assess chapter readiness Chapter Review/Test in every chapter to reviewor test chapter materialStudent BookOnline Workbook Guided Learning after every example ortwo to assess readiness to continue Cumulative Reviews eight times during the year Let’s Practise in every lesson Independent Practice for every lesson Mid-year and End-of-Year Reviews Put on Your Thinking Cap! in every chapter Put on Your Thinking Cap! in every chapterMy Math Path Teacher’s Resource 3ATable of Contentsix
Chapter2Differentiation ResourcesChapter OverviewAddition up to 1000Differentiating InstructionEnglish-LanguageLearnersMath BackgroundIndigenous ConnectionsChildren learned addition up to 100 in My Math Path 1and My Math Path 2, when they were taught the basicaddition algorithm of adding from right to left (from theones place to the tens place). Children were introducedto the commutative property of addition (a b b a);the associative property of addition (a b c [a b] c a [b c]), where a, b, and c are whole numbers;and the identity property in addition: n 0 0 n n,where n is any number. Children were taught how tocompose and decompose numbers through place valueand number bonds. Children were also taught to applyplace value in addition with and without regrouping innumbers up to 100.You can have children practise identifying anddescribing patterns involving addition and subtractionin Lesson 6 using everyday objects. Refer to IndigenousConnection: Basket Patterns.In this chapter, children apply these concepts to 3-digitnumbers. They are taught multiple regroupings by usingbase 10 blocks and a place-value chart as concreterepresentations, allowing them to visualize additionwith regrouping in the ones and tens places. Forexample, in the equation 125 237 , the sum ofdigits in the ones place is 12 ones. Children are led todeduce that 12 ones can be regrouped as 1 ten 2 ones.Therefore, the sum of digits in the tens place is 1 2 3 6. The same strategy is applied to regroup in thetens place and in the ones and tens places.Skills TraceIn this chapter, children also learn to recognize numberand geometric patterns. They articulate the patternrules that they observe in these patterns.Many Indigenous peoples create baskets, mats, andclothing to trade and for personal use. Their weavingoften involves patterns made with different colours toenhance the design of these objects.Refer children to the cedar-root basket activity onIndigenous Connection: Basket Patterns. Encouragethem to describe the patterns on the basket byanswering the questions provided.Grade 2Grade 3 Solve problems involving the addition andsubtraction of 3-digit numbers, using avariety of mental strategies. Add and subtract 3-digit numbers, usingconcrete materials, student-generatedalgorithms, and standard algorithms. Identify and describe number patternsinvolving addition or subtraction Create number patterns involving addition orsubtraction given a pattern on a number lineor a rule expressed in words.Grade 4 Add and subtract 2-digit numbers, using avariety of mental strategies. Solve problems involving the addition andsubtraction of 4-digit numbers, using studentgenerated algorithms and standard algorithms. Create number patterns involving additiongiv
Teacher s Resource The My Math Path 3 components work together to support student success and mathematical mastery. The Teacher s Resource includes the following: Chapter Overviews and Planning Guides for easy lesson preparation Mat
Nelson-Siegel-Svensson.Nelson-Siegel and Nelson-Siegel-Svensson models using Ordinary Least Squares after fixing the shape parameters to make the models linear models. A t-test conducted is conducted on the adjusted R2 of the two models and results showed that Nelson-Siegel-Svensson model fits better the yield curves of the Bank
Wendy Lloyd, Teacher Emily Johnson, Teacher Lora McFarland, Teacher Jenna Miller, Psychologist Anne Nelson, Teacher Lacie North, Teacher Tricia Pearson, SLP Sally Rogers, Teacher Kristen Sessions, Teacher Emily Shaw, SLP Bailee VanZeben, Teacher Kristen Walters, SLP L
public schools agreed to supply the teacher-counselors, and Dr. Nelson agreed to train them. Central Kentucky Re-Ed operated successfully for 25 years. The outstanding work of Dr. Nelson kept him at UK for 35 years. During this time Dr. Nelson met Mary Margaret
Independent Personal Pronouns Personal Pronouns in Hebrew Person, Gender, Number Singular Person, Gender, Number Plural 3ms (he, it) א ִוה 3mp (they) Sֵה ,הַָּ֫ ֵה 3fs (she, it) א O ה 3fp (they) Uֵה , הַָּ֫ ֵה 2ms (you) הָּ תַא2mp (you all) Sֶּ תַא 2fs (you) ְ תַא 2fp (you
Arif Nelson Ewoldt Research Group University of Illinois at Urbana-Champaign 9 [Curtis-Fisk et al. 2013] [Nelson et al. Submitted] Hot Ice Cream Fingering Instability - The Rheology Zoo. Nasal Cavity . 8x Speed 200μm diameter tip. Orbitz Drink Hubba Bubba Bubble Tape [Nelson et al. JOR. 2018] Oil-in-water Emulsion [Rauzan and Nelson et al .
Vaughan Nelson) and ETFs (excluding those representing a strategy’s benchmark) will be deducted from the market value of a client’s account prior to the calculation of Vaughan Nelson’s management fee. Vaughan Nelson has negotiated fee schedules for certain clients wh
Nelson violated the community control terms. The court also found that in 615994, Nelson previously pleaded guilty to a third-degree felony and that he faced a potential 36-month sentence for that violation. The state outlined Nelson’s substantial criminal
Nelson Stud Welding, Inc. PH 1-800-NEL-WELD E-mail: Nelson.Sales@NelsonStud.com 7900 West Ridge Road 1-800-635-9353 Elyria, Ohio 44035 10/11 Nelson long style chucks are typically used when more acc
