grade 4 math curriculum map - manchester township … i ready? pretest diagnostic test vocabulary...

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1 Grade 4 Math Curriculum Map Introduction The following Curriculum Map has been created by a team of Manchester Township School District elementary teach- ers. As fourth grade teachers utilize this information to create lesson plans, please remember that the art of differentiation starts with the great awareness that all students can and will learn. Teachers should continue to use differentiated instruction throughout each unit. It is suggested that when planning lessons, teachers use Common Core State Standards, side by side with the Essential Questions and Enduring Understandings as described on the Curriculum Map. The CCSS define what stu- dents should understand and be able to do in their study of mathematics ( www.corestandards.org ). Please note that the Common Core State Standards for Math are listed under for each unit. According to an article appearing on www.corestandards.org website, “Students with disabilities must be challenged to excel within the general curriculum and be prepared for success in their post –school lives, including college and/or careers.” As teachers create dynamic lesson plans, they will be mindful that the Common Core State Standards are a central part of in- struction, particularly since it is through the CCSS that all students will be ready to achieve in order to be college and career ready. Note that the current elementary math program, My Math, has been aligned and correlated to the district's current spe- cial education resource, Math-U-See program. The CCSS focus on clear, concise, and rigorous skills and concepts which are scaffolded throughout the grade levels. The Standards not only provide opportunities to explore and develop College and Career Readiness Skills, but they also en- courage students to solve real world problems. The Curriculum Map for Math will highlight the integration of reading, writ- ing, speaking, listening, technology, and science. Please also note problem-based learning units which are imbedded throughout the curriculum. December 2014

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Grade 4 Math Curriculum Map

Introduction

The following Curriculum Map has been created by a team of Manchester Township School District elementary teach-

ers. As fourth grade teachers utilize this information to create lesson plans, please remember that the art of differentiation starts

with the great awareness that all students can and will learn. Teachers should continue to use differentiated instruction

throughout each unit. It is suggested that when planning lessons, teachers use Common Core State Standards, side by side

with the Essential Questions and Enduring Understandings as described on the Curriculum Map. The CCSS define what stu-

dents should understand and be able to do in their study of mathematics ( www.corestandards.org ). Please note that the

Common Core State Standards for Math are listed under for each unit.

According to an article appearing on www.corestandards.org website, “Students with disabilities must be challenged to

excel within the general curriculum and be prepared for success in their post –school lives, including college and/or careers.”

As teachers create dynamic lesson plans, they will be mindful that the Common Core State Standards are a central part of in-

struction, particularly since it is through the CCSS that all students will be ready to achieve in order to be college and career

ready. Note that the current elementary math program, My Math, has been aligned and correlated to the district's current spe-

cial education resource, Math-U-See program.

The CCSS focus on clear, concise, and rigorous skills and concepts which are scaffolded throughout the grade levels.

The Standards not only provide opportunities to explore and develop College and Career Readiness Skills, but they also en-

courage students to solve real world problems. The Curriculum Map for Math will highlight the integration of reading, writ-

ing, speaking, listening, technology, and science. Please also note problem-based learning units which are imbedded

throughout the curriculum.

December 2014

2

Mathematics

UNIT ONE Content Area: Mathematics Grade: 4

Domain: Number and Operations Base Ten Chapters 1 through 6

Fall

Essential Question: How does place value help represent the value of numbers? ( chapter one ) Essential Question: What strategies can I use to add or subtract?( chapter two ) Essential Question: How are multiplication and division related? ( chapter three ) Essential Question: How can I communicate multiplication? ( chapter four ) Essential Question: How can I multiply by a two-digit number? ( chapter five ) Essential Question: How are patterns used in mathematics? ( chapter six)

Standard Number

Objectives Resources Suggested Activities

Chapter 1

Pre-Assessment of knowledge: Determining appropriate learning lev-els: approaching, on level, and above level

Am I Ready? Pretest Diagnostic test

Vocabulary Cards Foldables Student self-reflection/assessment - Shared the boxes to show the problems you answered correctly. (How did I do?)

4.NBT.1 Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right.

My Math Chapter 1 Lesson 1

Chapter 1 pages 3-52

Introduction Video: Our Great Outdoors My Learning Stations: Game: Greater Number Game: Lesson 2 Graphic Novel: Wet Weekend Fun! Lesson 3 Activity Card: Tell Me How: Lesson 4 Readers: Rivers Mountains of the US: Lesson 5 Problem-Solving Cards: Creatures Under the Sea: Lesson 6 Connect Ed Digital Items Problem of Day Common Core Quick Check Games:

3

Robo Works: Lesson 1 Fact Dash: All Lessons Bugle Farm: Lesson 3 Mount Frost: Lesson 4 Robo Works: Rounding: Lesson 5 Virtual Manipulatives Videos Tutorials Response to Intervention: Reteach worksheets Enrichment worksheets Chapter Project: What’s The Cost? Chapter Test Preparations: Review vocabulary with vocabulary cards and making connec-tions student Reflect on the essential question - graphic organizer p 52 in stu-dent edition. Formative Assessments Chapter Pretest (Beginning of each chapter) Am I Ready (Beginning of each chapter) Diagnostic Test (in Assessment Book) Common Core Quick Check (found on Connected website) Self-Check(found on Connected website) Check My Progress (Mid chapter assessments) My Homework pages at the end of each lesson Worksheets from: http://www.commoncoresheets.com/ http://www.khanacademy.org/ interactive website http://sumdog.com interactive website http://learnzillion.com interactive website Summative Assessments (In Assessment Book) Leveled Chapter Tests Oral Assessments Standardized Chapter Test ***** each chapter in My Math has a PBL and you can also go on eAssessment and create customized assessments

4.NBT.2 Read and write multi-digit whole num-bers using base-ten numerals, number names, and expanded form.

My Math Chapter 1 Lessons: 2,3,4,6

4

Compare two multi-digit numbers based on meanings of the digits in each place, using >, <, and = to record the results of comparisons.

4.NBT.3 Use place value understanding to round multi-digit whole numbers to any place.

My Math Chapter 1 Lessons 5 & 6

Chapter 2

Pre-Assessment of knowledge: Determining appropriate learning lev-els: approaching, on level, and above level

Am I Ready? Pretest Diagnostic test

Vocabulary Cards Foldables Student self-reflection/assessment - Shared the boxes to show the problems you answered correctly. ( How did I do?)

4.NBT.3 Use place value understanding to round multi-digit whole numbers to any place

My Math Chapter 2 Lesson 4

Chapter 2 pages 55-124

Introduction Video: Let’s Watch the Show My Learning Stations: Game: Make a Big Difference Lesson 7 Activity Card: Climb Every Mountain Lesson 7 Readers: Olympic Games : Lesson 7 Ocean: Into the Deep: Lesson 9 Problem-Solving Card: Ready Set Click! Lesson 9 Connect Ed Digital Items Problem of Day Common Core Quick Check Games: Sail Through Math (app): Lesson 1 Fact Dash: Lesson 1, 2, 3, 4, 5, 6, 7, 8, 9 Robo Works: Rounding & Estimating: Lesson 4 Addition & Subtraction: Lesson 6 Virtual Manipulatives Videos Tutorials Response to Intervention: Reteach worksheets Enrichment worksheets Chapter Project: Recycle It!

5

Chapter Test Preparations: Review vocabulary with vocabulary cards and making connec-tions student Reflect on the essential question - graphic organizer p 124 in student edition. Formative Assessments Chapter Pretest (Beginning of each chapter) Am I Ready (Beginning of each chapter) Diagnostic Test (in Assessment Book) Common Core Quick Check (found on Connected website) Self-Check(found on Connected website) Check My Progress (Mid chapter assessments) My Homework pages at the end of each lesson Worksheets from: http://www.commoncoresheets.com/ http://www.khanacademy.org/ interactive website http://sumdog.com interactive website http://learnzillion.com interactive website Summative Assessments (In Assessment Book) Leveled Chapter Tests Oral Assessments Standardized Chapter Test ***** each chapter in My Math has a PBL and you can also go on eAssessment and create customized assessments

4.NBT.4 Fluently add and subtract multi digit whole numbers using the standard al-gorithm.

My Math Chapter 2 Lessons: 1,2,3, 4, 5,6,7, 8, 9

4.OA.3 Solve multi-step word problems posed with whole number answers and using the four operations, in which remainders are present.

Chapter 2, My Math Lessons: 5,6, 9

4.OA.5 Generate a number or shape pattern that follows a given rule. Identify appar-ent feature of the pattern that were not explicit in the rule itself.

My Math Chapter 2 Lesson 2

6

Chapter 3

Pre-Assessment of knowledge: Determining appropriate learning lev-els: approaching, on level, and above level

Am I Ready? Pretest Diagnostic test

Vocabulary Cards Foldables Student self-reflection/assessment - Shared the boxes to show the problems you answered correctly. ( How did I do?)

4.NBT.5

Multiply a whole number of up to four digits by a one-digit number, and multi-ply two two digit numbers, using strate-gies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

My Math Chapter 3 Lessons: 1,5, and 6

Chapter 3 pages 127-188

Introduction Video: Let’s Have Some Fun My Learning Stations: Game: Factor Power: Lesson 7 Graphic Novel: Dog Walking Dollars: Lesson 6 Activity Card: Factor Sifter: Lesson 7 Readers: Class Project: Lesson 6 Problem-Solving Cards: Pop Culture: Lesson 3 Connect Ed Digital Items Problem of Day Common Core Quick Check Games: Sail Through Math (app) Fact Dash Lessons 1, 2, 3, 4, 5, 6, and 8 Scrambled Egg City: Lesson 1 Number Voyage: Lesson 6 Virtual Manipulatives Videos Tutorials Response to Intervention: Reteach worksheets Enrichment worksheets Chapter Project: Daily Multiples Book Chapter Test Preparations: Review vocabulary with vocabulary cards and making connec-tions student Reflect on the essential question - graphic organizer p 188 in stu-dent edition. Formative Assessments Chapter Pretest (Beginning of each chapter) Am I Ready (Beginning of each chapter)

7

Diagnostic Test (in Assessment Book) Common Core Quick Check (found on Connected website) Self-Check(found on Connected website) Check My Progress (Mid chapter assessments) My Homework pages at the end of each lesson Worksheets from: http://www.commoncoresheets.com/ http://www.khanacademy.org/ interactive website http://sumdog.com interactive website http://learnzillion.com interactive website Summative Assessments (In Assessment Book) Leveled Chapter Tests Oral Assessments Standardized Chapter Test ***** each chapter in My Math has a PBL and you can also go on eAssessment and create customized assessments

4.NBT.6 Find whole number quotients and re-mainders with up to four-digit dividends and one digit divisors, using strategies based on place value, the properties of operations, and/or the relationships be-tween multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

My Math Chapter 3 Lessons: 1 & 2

4.OA.1 Interpret a multiplication equation as a comparison such as interpreting 35=5x7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multipli-cative comparisons as multiplication equations.

My Math Chapter 3 Lesson 3

4.OA.2 Multiply or divide to solve word prob-lems involving multiplicative compari-

My Math Chapter 3 Lesson 3, 4 and 8

8

son, such as drawings and equaions with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison

4.OA.4 Find all factor pairs for a whole number in the range of 1 - 100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole num-ber in the range of 1 - 100 is a multiple of a given one-digit number. Determine whether a given whole num-ber in the range 1 -100 is prime or com-posite.

My Math Chapter 3 Lesson 7

Chapter 4

Pre-Assessment of knowledge: Determining appropriate learning lev-els: approaching, on level, and above level

Am I Ready? Pretest Diagnostic test

Vocabulary Cards Foldables Student self-reflection/assessment - Shared the boxes to show the problems you answered correctly. ( How did I do?)

4.NBT.1 Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to the right.

My Math Chapter 4 Lesson 1

Chapter 4 pages 191-270

Introduction Video: Let’s Go Shopping My Learning Stations: Game: High and Low: Lesson 9 Graphic Novel: Musical Math: Lesson 9 A Pressing Problem: Lesson 11 Activity Card: Low or High Roller: Lesson11 Readers: Expanding the United States Problem-Solving Cards: Stamp Collecting: Lesson 9 Emperors of the Ice: lesson 11 Connect Ed Digital Items Problem of Day Common Core Quick Check

9

Games: Mount Frost: Lesson 1 Fact Dash: Lessons 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, and 11 Sail Through Math (app) Robo Works: Lessons 2, 5 Number Voyage: Lesson 8 Virtual Manipulatives Videos Tutorials Response to Intervention: Reteach worksheets Enrichment worksheets Chapter Project: Healthy Foods Party Chapter Test Preparations: Review vocabulary with vocabulary cards and making connec-tions student Reflect on the essential question - graphic organizer p 270 in stu-dent edition. Formative Assessments Chapter Pretest (Beginning of each chapter) Am I Ready (Beginning of each chapter) Diagnostic Test (in Assessment Book) Common Core Quick Check (found on Connected website) Self-Check(found on Connected website) Check My Progress (Mid chapter assessments) My Homework pages at the end of each lesson Worksheets from: http://www.commoncoresheets.com/ http://www.khanacademy.org/ interactive website http://sumdog.com interactive website http://learnzillion.com interactive website Summative Assessments (In Assessment Book) Leveled Chapter Tests Oral Assessments Standardized Chapter Test ***** each chapter in My Math has a PBL and you can also go on eAssessment and create customized assessments

4.NBT.3 Use place value understanding to My Math Chapter 4

10

round multi-digit whole numbers to any place.

Lesson 2 and 10

4.NBT.5 Multiply a whole number of up to four digits by a one-digit number, and multi-ply two two digit numbers, using strate-gies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

My Math Chapter 4 Lessons: 1,2 3,4,5,6,7,8,9,10, and 11

4OA.3 Solve multi-step problems posed with whole numbers and having whole number answers using the four opera-tions, including problems in which re-mainders must be interpreted. Represent problems using equations with a letter standing for the unknown quantity. Assess reasonableness of answers using mental computation and estimation strategies including rounding.

My Math Chapter 4 Lesson: 8

4.OA.4 Find all factor pairs for a whole number in the range of 1 - 100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range of 1 - 100 is a mul-tiple of a given one-digit number. Determine whether a given whole number in the range 1 -100 is prime or

My Math Chapter 4 Lesson: 1

11

composite. Chapter

5 Pre-Assessment of knowledge: Determining appropriate learning lev-els: approaching, on level, and above level

Am I Ready? Pretest Diagnostic test

Vocabulary Cards Foldables Student self-reflection/assessment - Shared the boxes to show the problems you answered correctly. ( How did I do?)

4.NBT.3

Use place value understanding to round multi-digit whole numbers to any place.

My Math Chapter 5 Lesson 2

Chapter 5 pages 273-320

Introduction Video: Animals in Our World My Learning Stations: Graphic Novel: Basketball Brain Teaser: Lesson 4 Activity Card: Field Trip: Lesson 5 Readers: Expanding the United States: Lesson 5 What is Recycling: Lesson 6 Connect Ed Digital Items Problem of Day Common Core Quick Check Games: Fact Dash: Lessons: 1, 2, 3, 4, 5, 6 Sail Through Math (app) Robo Work: Lesson 2 Number Voyage: Lesson 4 Virtual Manipulatives Videos Tutorials Response to Intervention: Reteach worksheets Enrichment worksheets Chapter Project: Name That Digit Chapter Test Preparations: Review vocabulary with vocabulary cards and making connec-tions student Reflect on the essential question - graphic organizer p 320 in stu-dent edition. Formative Assessments Chapter Pretest (Beginning of each chapter) Am I Ready (Beginning of each chapter) Diagnostic Test (in Assessment Book)

12

Common Core Quick Check (found on Connected website) Self-Check(found on Connected website) Check My Progress (Mid chapter assessments) My Homework pages at the end of each lesson Worksheets from: http://www.commoncoresheets.com/ http://www.khanacademy.org/ interactive website http://sumdog.com interactive website http://learnzillion.com interactive website Summative Assessments (In Assessment Book) Leveled Chapter Tests Oral Assessments Standardized Chapter Test ***** each chapter in My Math has a PBL and you can also go on eAssessment and create customized assessments

4.NBT.4 Fluently add and subtract multi digit whole numbers using the standard al-gorithm.

My Math Chapter 5 Lesson 5

4.NBT.5 Multiply a whole number of up to four digits by a one-digit number, and multi-ply two two digit numbers, using strate-gies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

My Math Chapter 5 Lessons: 1, 2, 3, 4, 5, 6

4.OA.3 Solve multi-step problems posed with whole numbers and having whole num-ber answers using the four operations, including problems in which remainders must be interpreted. Represent problems using equations with a letter standing for the unknown quantity. Assess reasonableness of answers using

My Math Chapter 5 Lesson 5

13

mental computation and estimation strategies including rounding.

Chapter 6

Pre-Assessment of knowledge: Determining appropriate learning lev-els: approaching, on level, and above level

Am I Ready? Pretest Diagnostic test

Vocabulary Cards Foldables Student self-reflection/assessment - Shared the boxes to show the problems you answered correctly. ( How did I do?)

4.NBT.1 Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right.

My Math Chapter 6 Lesson 1

Chapter 6 pages 323-404

Introduction Video: Let’s Travel My Learning Stations: Game: Mission Division: Lesson 6 Activity Card: Long Song Contest: Lesson 10 Readers: What is Recycling? Problem-Solving Cards: A Desert Safari: Lesson 11 Connect Ed Digital Items Problem of Day Common Core Quick Check Games: Fact Dash: Lessons: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 and11 Sail Through Math (app) Robo Works: Lessons: 2, 7, 9 Number Voyage: Lessons: 9 & 10 Virtual Manipulatives Videos Tutorials Response to Intervention: Reteach worksheets Enrichment worksheets Chapter Project: Division Game Day Chapter Test Preparations: Review vocabulary with vocabulary cards and making connec-tions student Reflect on the essential question - graphic organizer p 404 in stu-dent edition. Formative Assessments Chapter Pretest (Beginning of each chapter) Am I Ready (Beginning of each chapter) Diagnostic Test (in Assessment Book)

14

Common Core Quick Check (found on Connected website) Self-Check(found on Connected website) Check My Progress (Mid chapter assessments) My Homework pages at the end of each lesson Worksheets from: http://www.commoncoresheets.com/ http://www.khanacademy.org/ interactive website http://sumdog.com interactive website http://learnzillion.com interactive website Summative Assessments (In Assessment Book) Leveled Chapter Tests ***** each chapter in My Math has a PBL and you can also go on eAssessment and create customized assessments Oral Assessments Standard ***** each chapter in My Math has a PBL and you can also go on eAssessment and create customized assessments dized Chapter Test

4.NBT.3

Use place value understanding to round multi-digit whole numbers to any place.

My Math Chapter 6 Lesson 2

4.NBT.6 Find whole number quotients and re-mainders with up to four-digit dividends and one digit divisors, using strategies based on place value, the properties of operations, and/or the relationships be-tween multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

My Math Chapter 6 Lessons: 1, 2,3,4,5,6,7,8,9,10

4.OA.3 Solve multi-step problems posed with My Math Chapter 6

15

whole numbers and having whole num-ber answers using the four operations, including problems in which remainders must be interpreted. Represent problems using equations with a letter standing for the unknown quantity. Assess reasonableness of answers using mental computation and estimation strategies including rounding.

Lesson 11

4.OA.4 Find all factor pairs for a whole number in the range of 1 - 100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole num-ber in the range of 1 - 100 is a multiple of a given one-digit number. Determine whether a given whole num-ber in the range 1 -100 is prime or com-posite

My Math Chapter 6 Lesson 1

Content Area: Mathematics Grade: 4 UNIT 2

Domain: Operations and Algebraic Thinking Month: Winter

Essential Question: How are patterns used in mathematics? (Chapter 7)

Standard Topic Resources

16

Number Chapter 7 Pre-Assessment of knowledge:

Determining appropriate learning levels: approaching, on level, and above level

Am I Ready? Pretest Diagnostic test

Vocabulary Cards Foldables Student self-reflection/assessment - Shared the boxes to show the problems you answered correctly. (How did I do?)

4.OA.3 Solve multi-step problems posed with whole numbers and having whole number answers using the four operations, including prob-lems in which remainders must be interpreted. Represent problems using equa-tions with a letter standing for the unknown quantity. Assess reasonableness of answers using mental computation and estimation strategies including rounding.

My Math Chapter 7 Lessons 7 and 9

Chapter 7 pages 407-474

Introduction Video: Patterns in Our World My Learning Stations: Graphic Novel: A Successful Season: Lesson 2 Activity Card: Exercise Equations: Lesson 8 Readers: Strange But True Problem-Solving Cards: A Visit to the Supermarket: Lesson 7 Connect Ed Digital Items Problem of Day Common Core Quick Check Games: Fact Dash: Lessons: 1,2 ,3, 4, 5, 6, 7, 8, and 9 Sail Through Math (app) Virtual Manipulatives Videos Tutorials Response to Intervention: Reteach worksheets Enrichment worksheets Chapter Project: Make a Game Chapter Test Preparations: Review vocabulary with vocabulary cards and making connections stu-dent Reflect on the essential question - graphic organizer p 474 in student edi-tion. Formative Assessments Chapter Pretest (Beginning of each chapter) Am I Ready (Beginning of each chapter) Diagnostic Test (in Assessment Book) Common Core Quick Check (found on Connected website) Self-Check(found on Connected website) Check My Progress (Mid chapter assessments) My Homework pages at the end of each lesson

4.OA.5 Generate a number or shape pattern that follows a given rule. Identify apparent feature of the pattern that were not explicit in the rule itself.

My Math Chapter 7 Lesson 1,2 3, 4, 5, 6, 8, 9

17

Worksheets from: http://www.commoncoresheets.com/ http://www.khanacademy.org/ interactive website http://sumdog.com interactive website http://learnzillion.com interactive website Summative Assessments (In Assessment Book) Leveled Chapter Tests Oral Assessments Standardized Chapter Test ***** each chapter in My Math has a PBL and you can also go on eAssessment and create customized assessments

Content Area: Mathematics Grade: 4 Domain: Operations with Fractions

UNIT 3 Month: Winter Chapters 8-10

Essential Question: How can different fractions name the same amount? ( chapter 8 ) Essential Question: How can I use operations to model real-world fractions? ( chapter 9 ) Essential Question: How are fractions and decimals related? ( chapter 10 )

18

Standard Number Topic Resources Suggested Activities Chapter 8 Pre-Assessment of knowledge:

Determining appropriate learning levels: approaching, on level, and above level

Am I Ready? Pretest Diagnostic test

Vocabulary Cards Foldables Student self-reflection/assessment - Shared the boxes to show the problems you answered correctly. ( How did I do?)

4.O.A.4 Find all factor pairs for a whole number in the range 1-100. Recog-nize that a whole number is a multi-ple of each of its factors. Determine whether a given whole number in the range 1-100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1-100 is prime or compo-site.

My Math Chapter 8 Lessons: 1 and 2

Chapter 8 pages 477-552

Introduction Video: Now We’re Cooking My Learning Stations: Game: Mixed Number Match Lesson 9 Readers: Life in the United States: Lesson 7 Connect Ed Digital Items Problem of Day Common Core Quick Check Games: Sail Through Math (app): all Lessons Fact Dash: 1, 2, 3, 4, 5, 6, 7, 9 and 10 Blip Satellite Service: Lessons: 4 and 9 Virtual Manipulatives Videos Tutorials Response to Intervention: Reteach worksheets Enrichment worksheets Chapter Project: Healthy Recipes Chapter Test Preparations: Review vocabulary with vocabulary cards and making connections student Reflect on the essential question - graphic organizer p 552 in student edition. Formative Assessments Chapter Pretest (Beginning of each chapter) Am I Ready (Beginning of each chapter) Diagnostic Test (in Assessment Book) Common Core Quick Check (found on Connected website)

4.NF.1 Explain why a fraction 1/b is equiva-lent to a fraction (n x a)/(n x b) by using visual fraction models, paying atention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.

My Math Chapter 8 Lessons: 3, 4, 5

4.NF.2 Compare two fractions with differ-ent numerators and different de-nominators by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are val-id only when the two fractions refer to the same whole.

My Math Chapter 8 Lessons: 6, 7, 8

19

Record the results using symbols ( >,<,=)

Self-Check(found on Connected website) Check My Progress (Mid chapter assessments) My Homework pages at the end of each lesson Worksheets from: http://www.commoncoresheets.com/ http://www.khanacademy.org/ interactive website http://sumdog.com interactive website http://learnzillion.com interactive website Summative Assessments (In Assessment Book) Leveled Chapter Tests Oral Assessments Standardized Chapter Test ***** each chapter in My Math has a PBL and you can also go on eAssessment and create customized assessments

4.NF.3 Understand a fraction a/b with a >1 as a sum of fractions 1/b

My Math Chapter 8 Lessons: 9, 10 .

4.NF.3b Decompose a fraction into a sum of fractions with the same denomina-tor in more than one way, recording each decomposition by an equa-tion. Justify decomposition by using a visual fraction model.

My Math Chapter 8 Lessons: 9

4.NF.5 Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this tech-nique to add two fractions with re-spective denominators 10 and 100.

My Math Chapter 8 Lessons: 4

Chapter 9 Pre-Assessment of knowledge: Determining appropriate learning levels: approaching, on level, and above level

Am I Ready? Pretest Diagnostic test

Vocabulary Cards Foldables Student self-reflection/assessment - Shared the boxes to show the problems you answered correctly. ( How did I do?)

4.NF.3 Understand a fraction a/b with a >1 as a sum of fractions 1/b

My Math Chapter 9 Lessons: 1, 2, 3, 4, 5, 6, 7

Chapter 9 pages 555-622

Introduction Video: Let’s Play Games My Learning Stations: Activity Card: Voting Age: Lesson 7 I Will Take Two, Please: Lesson 7 Readers: Life in the United States Connect Ed Digital Items Problem of Day Common Core Quick Check Games: Sail Through Math (app): all Lessons

4.NF.3A Understand addition and subtrac-tion of fractions as joining and sepa-rating parts referring to the same whole.

My Math Chapter 9 Lessons: 1, 2, 3, 4

4.NF.3b Decompose a fraction into a sum of fractions with the same denomina-tor in more than one way, recording each decomposition by an equa-tion. Justify decomposition by using a visual fraction model.

My Math Chapter 9 Lessons: 1, 2, 6, 7

4.NF.3c Add and subtract mixed numbers with like denominators by replacing each mixed number with an equiva-

My Math Chapter 9 Lessons: 5, 6, 7

20

lent fraction, and/or by using prop-erties of operations and the relation-ship between addition and subtraction

Fact Dash: Lessons: 1, 2, 3, 4, 5, 6, 7, 8, 9 Virtual Manipulatives Videos Tutorials Response to Intervention: Reteach worksheets Enrichment worksheets Chapter Project: Flight School Chapter Test Preparations: Review vocabulary with vocabulary cards and making connections student Reflect on the essential question - graphic organizer p 622 in student edition. Formative Assessments Chapter Pretest (Beginning of each chapter) Am I Ready (Beginning of each chapter) Diagnostic Test (in Assessment Book) Common Core Quick Check (found on Connected website) Self-Check(found on Connected website) Check My Progress (Mid chapter assessments) My Homework pages at the end of each lesson Worksheets from: http://www.commoncoresheets.com/ http://www.khanacademy.org/ interactive website http://sumdog.com interactive website http://learnzillion.com interactive website Summative Assessments (In Assessment Book) Leveled Chapter Tests Oral Assessments Standardized Chapter Test ***** each chapter in My Math has a PBL and you can also go on eAssessment and create customized assessments

4.NF.3d Solve word problems involving addi-tion and subtraction of fractions re-ferring to the same whole and having like denominators by using visual fraction models and equa-tions to represent the problem.

My Math Chapter 9 Lessons: 1, 2, 3, 4, 5, 6, 7

4.NF.4 Apply and extend previous under-standings of multiplications to multi-ply a fraction by a whole number.

My Math Chapter 9 Lessons: 8, 9

4.NF.4a Understand a fraction a/b as a mul-tiple of 1/b

My Math Chapter 9 Lessons: 8, 9

4.NF.4b Understand a multiple of a/b as a multiple of 1/b and use this under-standing to multiply a fraction by a whole number

My Math Chapter 9 Lessons: 8, 9

4.NF.4c Solve word problems involving mul-tiplication of a fraction by a whole number, and by using models and equations to represent the problem

My Math Chapter 9 Lessons: 8, 9

Chapter 10 Pre-Assessment of knowledge: Determining appropriate learning levels: approaching, on level, and above level

Am I Ready? Pretest Diagnostic test

Vocabulary Cards Foldables Student self-reflection/assessment - Shared the boxes to show the problems you answered correctly. (How did I do?)

21

4.NF.5 Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this tech-nique to add two fractions with re-spective denominators 10 and 100.

My Math Chapter 10 Lessons: 4, 5, 6, 8

Chapter 10 pages 625-684

Introduction Video: Away We Go! My Learning Stations: Game: Fractoes and Decimoes: Lesson 6 Activity Card: Olympic Race: Lesson 7 Readers: Growing Goods in a Growing Community Problem-Solving Cards: Decimal Note-ation; Lesson 6 Connect Ed Digital Items Problem of Day Common Core Quick Check Games: Sail Through Math (app): all Lessons Fact Dash: Lessons: 1, 2, 3, 4, 5, 6, 7, 8 Blip’s Satellite: Lesson 5 Virtual Manipulatives Videos Tutorials Response to Intervention: Reteach worksheets Enrichment worksheets Chapter Project: Bake Sale Equivalents Chapter Test Preparations: Review vocabulary with vocabulary cards and making connections student Reflect on the essential question - graphic organizer p 684 in student edition. Formative Assessments Chapter Pretest (Beginning of each chapter) Am I Ready (Beginning of each chapter) Diagnostic Test (in Assessment Book) Common Core Quick Check (found on Connected website) Self-Check(found on Connected website) Check My Progress (Mid chapter assessments) My Homework pages at the end of each lesson Worksheets from: http://www.commoncoresheets.com/ http://www.khanacademy.org/ interactive website

4.NF.6 Use decimal notation for fractions with denominators 10 or 100.

My Math Chapter 10 Lessons: 1, 2, 3, 4, 5, 6, 7, 8

4.NF.7 Compare two decimals to hun-dredths by reasoning about their size. Recognize that comparisons are val-id only when two decimals refer to the same whole. Record the results of comparisons with the symbols >,<,=, and to justify the conclusions by using a visual model.

My Math Chapter 10 Lessons: 1, 7

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http://sumdog.com interactive website http://learnzillion.com interactive website Summative Assessments (In Assessment Book) Leveled Chapter Tests Oral Assessments Standardized Chapter Test ***** each chapter in My Math has a PBL and you can also go on eAssessment and create customized assessments

UNIT FOUR Content Area: Math

Domain: Measurement and Data Chapters 11 - 13

Timeframe: Spring

Essential Question: Why do we convert measurements? ( chapter 11 ) Essential Question: How can conversion of measurements help solve real world problems?( chapter 12) Essential Question: Why is it important to measure perimeter and area? ( chapter 13)

Standard Number

Topic Resources Suggested Activities

Chapter 11

Pre-Assessment of knowledge: Determining appropriate learning lev-els: approaching, on level, and above level

Am I Ready? Pretest Diagnostic test

Vocabulary Cards Foldables Student self-reflection/assessment - Shared the boxes to show the problems you answered correctly. (How did I do?)

4.MD.1 Know relative size of measurement My Math Chapter 11 Chapter 11

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units within one system, including km, m, cm, kg, g, lb, oz l ml hr, min, sec. Within a single system of measurement, express measurement in a larger unit in terms of a smaller unit Record measurement equivalents in a two column table

Lessons: 1, 2, 3, 4, 5 ,6, 7 687-764 Introduction Video: Let’s Discover Nature My Learning Stations: Readers: Ancient Giants of the Forest: Lesson 9 Strange But True: Lesson 9 Problem-Solving Cards: Tide Pool Ecosystems: Lesson 6 Connect Ed Digital Items Problem of Day Common Core Quick Check Games: Sail Through Math (app): all Lessons Fact Dash: Lessons: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 Number Voyage: Lesson 6 Virtual Manipulatives Videos Tutorials Response to Intervention: Reteach worksheets Enrichment worksheets Chapter Project: What’s The Cost? Chapter Test Preparations: Review vocabulary with vocabulary cards and making con-nections student Reflect on the essential question - graphic organizer p 764 in student edition. Formative Assessments Chapter Pretest (Beginning of each chapter) Am I Ready (Beginning of each chapter) Diagnostic Test (in Assessment Book) Common Core Quick Check (found on Connected website) Self-Check(found on Connected website) Check My Progress (Mid chapter assessments) My Homework pages at the end of each lesson Worksheets from: http://www.commoncoresheets.com/ http://www.khanacademy.org/ interactive website http://sumdog.com interactive website http://learnzillion.com interactive website

4.MD.2 Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, problems in-volving simple factions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities us-ing diagrams such as a number line that features a measuring scale.

My Math Chapter 11 Lessons: 1, 2, 3, 4, 5, 6, 7, 9, 10

4.MD.4 Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Solve problems involving addition and subtraction of fractions by using infor-mation presented in line plots.

My Math Chapter 11 Lesson: 8

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Summative Assessments (In Assessment Book) Leveled Chapter Tests Oral Assessments Standardized Chapter Test ***** each chapter in My Math has a PBL and you can also go on eAssessment and create customized assessments

Chapter 12

Pre-Assessment of knowledge: Determining appropriate learning lev-els: approaching, on level, and above level

Am I Ready? Pretest Diagnostic test

Vocabulary Cards Foldables Student self-reflection/assessment - Shared the boxes to show the problems you answered correctly. (How did I do?)

4.MD.1 Know relative size of measurement units within one system, including km, m, cm, kg, g, lb, oz l ml hr, min, sec. Within a single system of measurement, express measurement in a larger unit in terms of a smaller unit Record measurement equivalents in a two column table

My Math Chapter 12 Lessons: 1, 2, 3, 5, 6

Chapter 12 pages 767-816

Introduction Video: Around My House My Learning Stations: Activity Card: Gas Conservation: Lesson 6 Readers: Ancient Giants of the Forest Problem-Solving Cards: Coral Reef: Lesson 6 Connect Ed Digital Items Problem of Day Common Core Quick Check Games: Sail Through Math (app): all Lessons Fact Dash: Lessons: 1-6 Virtual Manipulatives Videos Tutorials Response to Intervention: Reteach worksheets Enrichment worksheets Chapter Project: Metric Units of Capacity Chapter Test Preparations: Review vocabulary with vocabulary cards and making con-nections student Reflect on the essential question - graphic organizer p 816 in student edition. Formative Assessments Chapter Pretest (Beginning of each chapter)

4.MD.2 Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, problems in-volving simple factions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities us-ing diagrams such as a number line that features a measuring scale.

My Math Chapter 12 Lessons: 4, 5, 6

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Am I Ready (Beginning of each chapter) Diagnostic Test (in Assessment Book) Common Core Quick Check (found on Connected website) Self-Check(found on Connected website) Check My Progress (Mid chapter assessments) My Homework pages at the end of each lesson Worksheets from: http://www.commoncoresheets.com/ http://www.khanacademy.org/ interactive website http://sumdog.com interactive website http://learnzillion.com interactive website Summative Assessments (In Assessment Book) Leveled Chapter Tests Oral Assessments Standardized Chapter Test ***** each chapter in My Math has a PBL and you can also go on eAssessment and create customized assessments

Chapter 13

Pre-Assessment of knowledge: Determining appropriate learning lev-els: approaching, on level, and above level

Am I Ready? Pretest Diagnostic test

Vocabulary Cards Foldables Student self-reflection/assessment - Shared the boxes to show the problems you answered correctly. (How did I do?)

4.MD.3 Apply the area and perimeter formulas for rectangles in real world and math-ematical problems

My Math Chapter 13 Lessons: 1-5

Chapter 13 pages 819-860

Introduction Video: Let’s Cheer Our Team My Learning Stations: Game: Area Guess: Lesson 4 Graphic Novel: Having a Class Pet: Lesson 5 Readers: Solving the Pyramid Puzzle Problem-Solving Cards: Walls with History: Lesson 5 Connect Ed Digital Items Problem of Day Common Core Quick Check Games: Sail Through Math (app): all Lessons Dash: Lessons: 1, 2, 3, 4, 5 Number Voyage: Lesson 4 Virtual Manipulatives

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Videos Tutorials Response to Intervention: Reteach worksheets Enrichment worksheets Chapter Project: It’s Your Area Chapter Test Preparations: Review vocabulary with vocabulary cards and making con-nections student Reflect on the essential question - graphic organizer p 860 in student edition. Formative Assessments Chapter Pretest (Beginning of each chapter) Am I Ready (Beginning of each chapter) Diagnostic Test (in Assessment Book) Common Core Quick Check (found on Connected website) Self-Check(found on Connected website) Check My Progress (Mid chapter assessments) My Homework pages at the end of each lesson Worksheets from: http://www.commoncoresheets.com/ http://www.khanacademy.org/ interactive website http://sumdog.com interactive website http://learnzillion.com interactive website Summative Assessments (In Assessment Book) Leveled Chapter Tests Oral Assessments Standardized Chapter Test ***** each chapter in My Math has a PBL and you can also go on eAssessment and create customized assessments

UNIT FIVE

Content Area: Math Domain: Geometry

Chapters 14

Month: Essential Question: How are different ideas about geometry connected?

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Standard Number

Topic Resources Suggested Activities

Chapter 14

Pre-Assessment of knowledge: Determining appropriate learning levels: approaching, on level, and above level

Am I Ready? Pretest Diagnostic test

Vocabulary Cards Foldables Student self-reflection/assessment - Shared the boxes to show the problems you answered correctly. (How did I do?)

4.G.1 Draw points, lines, line segments, rays, angles ( right, acute, obtuse), and perpendicular and parallel lines. Identify these in two dimen-sional figures.

My Math Chapter 14 Lessons: 1, 2, 3, 4, 5, 6, 7, 8, 9, 11

Chapter 14 pages 863-946

Introduction Video: Sign Me Up! My Learning Stations: Game: Reflections and Symmetry: Lesson 10 Activity Card: Butterfly Symmetry: Lesson 10 Readers: Solving the Pyramid Puzzle Problem-Solving Cards: Symmetry in Nature: Lesson 10 Connect Ed Digital Items Problem of Day Common Core Quick Check Games: Fact Dash: Lessons: 1, 2. 3, 4, 5, 6, 7, 8, 9, 10, 11 Robo Works: Lessons: 4 and 9 Virtual Manipulatives Videos Tutorials Response to Intervention: Reteach worksheets Enrichment worksheets Chapter Project: A Banner of Shapes Chapter Test Preparations: Review vocabulary with vocabulary cards and making con-nections student Reflect on the essential question - graphic organizer p 946 in student edition. Formative Assessments Chapter Pretest (Beginning of each chapter) Am I Ready (Beginning of each chapter) Diagnostic Test (in Assessment Book) Common Core Quick Check (found on Connected website)

4.G.2 Classify two-dimensional figures based on the presence or ab-sence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a cat-egory, and identify right angles.

My Math Chapter 14 Lessons: 1, 2, 8, 9, 11

4.G.3 Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the fig-ure can be folded along the line into matching parts. Identify line-symmetric figures and draw lines of symmetry.

My Math Chapter 14 Lesson: 10

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Self-Check(found on Connected website) Check My Progress (Mid chapter assessments) My Homework pages at the end of each lesson Worksheets from: http://www.commoncoresheets.com/ http://www.khanacademy.org/ interactive website http://sumdog.com interactive website http://learnzillion.com interactive website Summative Assessments (In Assessment Book) Leveled Chapter Tests Oral Assessments Standardized Chapter Test ***** each chapter in My Math has a PBL and you can also go on eAssessment and create customized assessments

*** Chapter 13 - Geometry also addresses standards of Measurement and Data as part of understanding the concept:

4.MD.5 Recognize angles as geo-metric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement.

My Math Chapter 14 Lessons: 3, 4, 5

4.MD.5a An angle is measured with reference to a circle with its center at the common end-point of the rays, by consid-ering the fraction of the circular arc between the points where the two rays intersect the circle. An angle that turns through 1/360 of a circle is called a one degree angle and can

My Math Chapter 14 Lessons: 3, 4

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be used to measure angles.

4.MD.5b An angle that turns through n one -degree angles is said to have an angle measure of n degrees

My Math Chapter 14 Lessons: 4,

4.MD.6 Measure angles in whole Number degrees using a pro-tractor. Sketch angles of specified measure.

My Math Chapter 14 Lessons: 5, 6

4.MD.7 Recognize angle measures as additive. When an angle is decom-posed into non-overlapping parts, the angle measure of the whole is the sum o the angle measures of the parts. Solve addition and subtrac-tion problems to find un-known angles on a diagram in real world and mathemat-ical problems by using an equation with a symbol for the unknown angle measure.

My Math Chapter 14 Lessons: 7

  Created by Paul Harrigan,  Krystal Jenssen,  Jamie Velazquez December 2014     Unit 1 Reflections  

Unit 2 Reflections 

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  Unit 3 Reflections    

Unit 4 Reflections 

Unit 5  Reflections