MATH MANUAL math course is based on the textbook series Math in Focus: Singapore Math, which was...

MATH MANUALPart A

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January 11, 2016

Please note:

This document is provided for your information only, and is current through

the copyright date. Some items, services and/or components referenced may

be sold separately. Materials are updated periodically. Refer to your online

course for current and substantive lesson manuals.

Happy learning!

As set forth in the Enrollment Agreement, this lesson manual is the property of Calvert Education Services, LLC. and is leased for use only with the student enrolled.

© 2013 by Calvert Education Services, LLC. All rights reserved, including the right to reproduce this book or portions thereof in any form.

Calvert Education • 10713 Gilroy Road, Suite B • Hunt Valley, Maryland 21031

Math ManualPart A

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Calvert Education • Grade 5 MATH

About the Singapore Math Method �� vii

Before You Begin ��ix

Components of a Lesson ��xi

About the CourseCourse Materials �� xiii

Course Survey �� xiv

Types of Lessons �� xv

Constructed Responses �� xvi

The Learning TeamThe Role of the Student �� xviii

The Role of the Learning Guide �� xviii

The Role of the Calvert Support Staff �� xix

TestingCalvert Test Series ��xx

Advisory Teaching Service Tests ��xx

Directions for Administering Tests ��xx

Submitting the Tests �� xxi

Test Submission Schedule �� xxi

Express ATS �� xxii

Certificate of Completion �� xxiii

Frequently Asked QuestionsWhat if I have a question about the curriculum? �� xxiv

How do I contact Calvert by mail? �� xxiv

How do I send my first Advisory Teaching Service Test? �� xxiv

When is my student eligible to receive a Certificate of Completion? �� xxiv

What should I do if I find a mistake in the manual? �� xxv

How can I get a transcript of my student’s grades? �� xxv

LessonsLesson 1: Chapter 1 Opener

Exploring Whole Number Concepts ��1

Lesson 2Reading and Writing Greater Numbers ��3

Lesson 3More Reading and Writing Greater Numbers ��5

Lesson 4Working with Place Value ��7

Lesson 5Comparing Greater Numbers ��9

Lesson 6Rounding to Estimate Sums and Differences �� 11

Lesson 7Estimating Products and Quotients �� 13

Lesson 8Problem Solving �� 15

Lesson 9Chapter Review �� 17

Chapter 1 Test ��19

Lesson 10: Chapter 2 OpenerMultiplying and Dividing Greater Numbers �� 23

Lesson 11Employing Calculators �� 25

Table of Contents

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Table of Contents • MATH

Lesson 12Multiplying Whole Numbers by Multiples of Ten �� 27

Lesson 13Multiplying Whole Numbers—Multiples of 100 and 1,000 �� 29

Lesson 14Estimating Products �� 31

Lesson 15Using Powers of 10 as Factors �� 33

Lesson 16Finding the Product With a Two-Digit Factor �� 35

Lesson 17More Finding the Product With a Two-Digit Factor �� 37

Lesson 18Dividing by 10s �� 39

Lesson 19Dividing by 100s or 1,000s �� 41

Lesson 20Dividing by Two-Digit Divisors �� 43

Lesson 21More Dividing by Two-Digit Divisors �� 45

Lesson 22Working With the Order of Operations �� 47

Lesson 23Simplifying With Parentheses, Brackets, and Braces �� 49

Lesson 24Real-Life Multiplication and Division Problems �� 51

Lesson 25Using Bar Models for Comparison Problems �� 53

Lesson 26More Real-Life Multiplication and Division Problems �� 55




Lesson 29: Chapter 3 OpenerUnderstanding Fractions and Mixed Numbers �� 65

Lesson 30Reviewing Fractions and Mixed Numbers �� 67

Lesson 31Putting Together Unlike Fractions �� 69

Lesson 32Take Away Unlike Fractions �� 71

Lesson 33Rewriting Fractions, Mixed Numbers, and Division Expressions �� 73

Lesson 34Changing Forms with Fractions, Division Expressions, and Mixed Numbers �� 75

Lesson 35Putting Together Mixed Numbers �� 77

Lesson 36Taking Away Mixed Numbers�� 79

Lesson 37Real-Life Problems with Fractions and Mixed Numbers �� 81




Lesson 40: Chapter 4 OpenerExploring Multiplication and Division with Fractions and Mixed Numbers �� 91

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Calvert Education • Grade 5 MATH

MATH • Table of Contents

Lesson 41Calculating the Product of Whole Numbers and Proper Fractions �� 93

Lesson 42Determining the Product of Fractions �� 95

Lesson 43Real-Life Problems: Multiplication with Proper Fractions �� 97

Lesson 44Calculating the Product with Proper and Improper Fractions �� 99

Lesson 45Finding the Product with Mixed Numbers and Whole Numbers �� 101

Lesson 46Real-Life Problems: Finding the Product with Mixed Numbers �� 103

Lesson 47Working with Dividing Fractions by Whole Numbers �� 105

Lesson 48Dividing by Unit Fractions �� 107

Lesson 49Real-Life Problems: Finding the Product and Quotient with Fractions �� 109

Lesson 50More Real-Life Problems: Finding the Product and Quotient with Fractions �� 111

Lesson 51Real-Life Problems: Dividing by Unit Fractions �� 113



Chapter 4 Test �� 119

Lesson 54: Chapter 5 OpenerSolving Problems with Algebra �� 123

Lesson 55Representing the Unknown with a Variable �� 125

Lesson 56More Representing the Unknown with a Variable �� 127

Lesson 57Simplifying Expressions �� 129

Lesson 58Working with Algebraic Expressions, Equations, and Inequalities �� 131

Lesson 59Solving Equations �� 133

Lesson 60Real-Life Algebra Problems �� 135




Lesson 63: Chapter 6 OpenerDiscovering the Area of Triangles �� 145

Lesson 64Determining Area With Fractions �� 147

Lesson 65Identifying Parts of a Triangle Relevant to Area �� 149

Lesson 66Determining the Area of Triangles �� 151




Lesson 69: Chapter 7 OpenerDeveloping Ratio Concepts �� 163

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Table of Contents • MATH

Lesson 70Comparing Quantities with Ratios �� 165

Lesson 71Using Equivalent Ratios �� 167

Lesson 72Real-Life Ratio Problems �� 169

Lesson 73More Real-Life Ratio Problems �� 171

Lesson 74Writing Ratios as Fractions �� 173

Lesson 75Comparing Three Amounts with Ratios �� 175

Lesson 76Solving Real-Life Ratio Problems �� 177

Lesson 77More Solving Real-Life Ratio Problems �� 179



Lesson 80Cumulative Review �� 184


AppendixGeneral Resources

Place-Value Mat ��193

Decimal Place-Value Mat ��197

Place-Value Chart ��201

Ten Frames ��205

Grid Paper ��207

Worksheets and ProjectsPowers of 10 as Factors Worksheet (Lesson 15) ��219

Comparison Bar Models Worksheet (Lesson 25) ��220

Representing Fractions with Bar Models Worksheet (Lesson 29) ��225

Comparing Products Without Multiplying Worksheet (Lesson 41) ��230

Dividing by Unit Fractions Worksheet (Lesson 48) ��232

Dividing by Fractions in Real-Life Situations Worksheet (Lesson 51) ��233

Area of a Rectangle with Fractions Worksheet (Lesson 64) ��234

Triangle Project (Lesson 65) ��236

Online Resources �� 241

Calvert Education • Grade 5 MATH About the Singapore Math Method

MATH • About the Singapore Math Method

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About the Singapore Math Method

This math course is based on the textbook series Math in Focus: Singapore Math, which was developed using the principles of the highly successful math program in Singapore. Singapore math method first drew international attention in 1999, when the first Trends in International Mathematics and Science Study (TIMMS) was conducted. In that year, and in the following testing years, students from Singapore led the world in math achievement. The Math in Focus series was written to bring the methods of Singapore math instruction to American students.

Why did we choose Math in Focus: Singapore Math?

There are several core principles that are important for you to know and to emphasize as you work with your student in this math course.

Fewer Topics; More DepthIf you skim the Table of Contents at the front of Math in Focus, you will see that most of the chapters focus on basic operations, fractions, and proportional reasoning. This is intentional. By the end of this course, your student will have manipulated numbers in so many different ways that he will have a solid foundation in these concepts and will need little, if any, review in subsequent courses. Singapore math courses focus on just a few topics each year, which are taught in depth to assure mastery.

Start with the ConcreteMath in Focus contains many photographs of real objects. No matter what concept is being taught, the Singapore math method always begins with items that your student can experience and manipulate. Only after the concept has been well developed will he move to pictorial representations, and only after the pictorial is understood will he move to the abstract.

For example, when learning to compare length, your student will begin by making towers with connecting cubes and comparing their heights (concrete).

After this, your student will compare the heights of items in pictures, such as these four children (pictorial).

Finally, your student will be asked to compare the lengths of two lines (abstract).

For your student to grasp and master the mathematical concepts presented in this course, it is essential that you follow this progression as you are presenting new material to your student.

concrete

pictorial

abstract

About the Singapore Math Method Grade 5 MATH • Calvert Education

About the Singapore Math Method • MATH

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Mental MathThe Singapore math method emphasizes the importance of calculating quickly and accurately without the use of pencil and paper. Your student will learn and practice mental math strategies.

Solving ProblemsAccording to Singapore Math philosophy, the primary purpose for learning math is to learn to solve problems. Not only does math provide skills to solve problems involving calculation, but also strategies to solve problems your student might face in life: breaking a problem down into smaller parts, drawing a diagram, making a list, etc. Problems do take more time to solve, so do not skip or hurry through them.

Bar ModelingAnother essential Singapore math tool is the bar model. Bar models are specialized drawings that are used to visualize a problem and organize the information. Your student can use them to see how to find a solution.

You can learn more about bar modeling strategies by referring to the Bar Model Guide, available in the Online Math Manual.

Calvert Education • Grade 5 MATH Before You Begin

MATH • Before You Begin

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Before You BeginThese math lessons are organized differently from other Calvert core courses because they are unit-based and written to the student. However, like other Calvert courses, you will need to work alongside your student and teach the lesson.

PreparationPrepare ahead of time for each lesson. You may want to prepare the day or weekend before so that you have time to gather all materials.

Gather the materials and books listed at the beginning of each lesson. Read the lesson carefully, making sure you understand the concepts and examples. Note the To the Learning Guide sections. These sections will provide additional help for you, including math background, common errors, tips, reteaching strategies, and ideas for how to teach the concept.

When you are ready to teach the lesson, set up a workspace for your student. You will need the materials and books listed as well as paper, pencils, and a computer if you want to use the full-color online lesson manual and online resources.

Warm-upBegin with the Warm-up. The Warm-up reviews previously learned skills, practices mental math, or introduces the lesson. Read the directions with your student. If he has difficulty completing it without help, you may wish to review those concepts.

InstructionAfter the Warm-up, continue with the Instruction section. Read aloud with your student following along. Your student may help read if he is able. Your student should complete the examples as you read them, using manipulatives and performing calculations as needed.

If the Instruction has an opportunity for your student to practice (usually in a section labeled Guided Practice or Your Turn), you may both want to complete the exercise separately. Then you can compare your methods and results. You may identify which solution is more efficient, or simply highlight the flexibility of math—that there can be many different ways to solve the same problem correctly.

PracticeThe assigned textbook and workbook pages are guidelines only. Use your judgment to determine what your student needs to practice and how many of the pages or problems to assign. Be prepared to help your student read and understand the exercises. Your student can use the Assignments checklist at the beginning of each lesson to keep track of what he has completed.

Wrap-upThe Wrap-up briefly summarizes the lesson. Read it together, making sure your student understands the concepts. This will help your student retain the material. You may also wish to reread the Wrap-up right before you start the next lesson as a brief reminder of what was learned the day before.

Before You Begin Grade 5 MATH • Calvert Education

Before You Begin • MATH

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Looking ForwardSome lessons have a Looking Forward section within the final To the Learning Guide box, which lists materials and/or preparation needed for a future lesson.

Math CheckpointBe sure your student completes the online Math Checkpoint after each lesson, located in the Online Math Manual. Read the directions and choices to him as needed to ensure that he understands what is being asked. The checkpoints will help you gauge whether your student has mastered the concepts. If your student answered a question incorrectly because he did not understand it, rephrase the question and have him answer on a separate sheet of paper. Students are unable to retake checkpoints online. If he made a simple calculation mistake, you may want to have him practice by completing any remaining problems from the Practice section. If he did not understand a concept, you may review or reteach it.

Remember that you know your student’s abilities and learning styles better than anyone else, and this gives you a unique opportunity to personalize your student’s education. Sometimes it will help to explain a concept differently. Other times you may let a skill or concept go for a few days and then come back to it. Push your student to be successful, but not to the point of frustration or anxiety.

Setting Up the Math JournalMath Journal activities are assigned throughout each chapter. Your student should have a designated book for Math Journal activities. Have your student begin each Math Journal activity on a separate page. He should write the date and the lesson number in the upper right corner of the page. He does not need to copy problems or questions unless directed to do so in the activity.

Remember to call the Education Counselors if you have any difficulty with the program or teaching any of the concepts. Our experienced Education Counselors are ready to answer your questions, offer support and encouragement, and provide individualized suggestions for students using our courses. The Counselors are available toll-free at 1-888-487-4652 between 8:00 A.M. and 5:30 P.M. EST, Monday through Friday, or through live chat found on the My Calvert site. You can also contact them by e-mail at any time at [email protected].

Calvert Education • Grade 5 MATH Components of a Lesson

MATH • Components of a Lesson

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Components of a Lesson

Warm-upMost lessons begin with a Warm-up activity. These activities activate your student’s prior knowledge and practice skills. The Warm-up regularly focuses on mental math and problem solving.

Objectives, Books & Materials, and AssignmentsThe objectives, books, and materials are listed at the beginning of each lesson. There is also an assignment checklist so your student will be sure to complete all the activities.

To the Learning GuideAt the end of some sections is a box called To the Learning Guide. This material is written specifically to you

and gives information, directions, and suggestions for leading your student through the lesson.

InstructionFollowing the Warm-up, the Instruction section presents a new concept to your student. While the material is written directly to your student, he will need your assistance. Use the manipulatives as directed. Your student is expected to work along with the Instruction.

Components of a Lesson Grade 5 MATH • Calvert Education

Components of a Lesson • MATH

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PracticeFollowing the Instruction are Practice activities, which are

usually found in the Math in Focus textbook and student Workbook.

Use your judgment as to how many of the practice problems

your student needs to complete.

Online ResourcesIn some lessons, a specific online resource is suggested to facilitate

understanding or provide additional practice. You can access these resources by clicking on the links in the Online Math Manual.

Wrap-upThe Wrap-up section summarizes the main points of the lesson. You may also use it as a review before

beginning the next lesson.

CheckpointsEach lesson ends with a brief online assessment called a Checkpoint. The Checkpoints are located in

the Online Math Manual. Click on the link for Lesson Manual and select the appropriate manual and lesson. Then click on the Checkpoint link. You may determine how much assistance to give

your student both in reading the questions and in entering the responses. After your student completes the Checkpoint, you can find his score on the Learning Guide Portal. Review any concepts

that your student marked incorrectly.

Calvert Education • Grade 5 MATH About the Course

MATH • About the Course

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About the Course

Course Materials

In the Calvert box• Math Manual, Parts A and B (with Tests)• Math in Focus, Books A and B• Math in Focus Workbook, Books A and B• Punch-out Resources• Manipulatives kit

The Math Manuals include daily lessons, instructional materials, and Advisory Teaching Service tests. The Appendix in the back of the manual includes General Resources, Worksheets and Projects, and a complete list of Online Resources. Refer to the Appendix when these resources are mentioned in the lessons. You may reproduce the materials in the Appendix for your student’s use. If you need additional copies of these materials, you may access and print them from the Online Math Manual.

The Punch-out Resources are provided for use in the lessons. Once you remove the punch-outs, save them in labeled envelopes or small containers to be used throughout the course.

Available online through My CalvertNote: If you are enrolled in this course through a public virtual school, the location of these resources may be different. See the Learning Guide orientation or contact your Supervising Teacher for more information.

• e-TextbookMath in Focus is available to your student in electronic form.

• Online Math ManualThe Math Manuals are also available online in color. They provide direct links to the Online Resources, Checkpoints, and Rate This Lesson surveys.

• Math CheckpointsThese brief online assessments help you determine whether your student understood the lesson.

• BrainPOPEach BrainPOP unit contains several activities, including an instructional video, games, and quizzes. Use the materials your student enjoys and finds helpful.

• Supplemental Math Activities and InstructionThese interactive games provide additional practice and reinforcement of skills.

• Other websitesLinks to other fun, helpful resources are available through your Online Math Manual. These websites are listed in the Appendix of the Math Manual.

About the Course Grade 5 MATH • Calvert Education

About the Course • MATH

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Available online through the Learning Guide Portal• Math Answer Keys (for daily work)• Grade Book

Additional materials neededSometimes you will need common household items for lesson activities. In addition, there are specific items that you should gather before beginning the course:

• flash cards• composition book or other small notebook• thermometer (provided in the Calvert core course science kit)

Course Survey

Grade 5• Compare and order numbers to 10,000,000.• Read and write numbers to 10,000,000 in standard, expanded, and word form.• Multiply and divide by tens, hundreds, and thousands.• Multiply multiple-digit numbers by two-digit numbers.• Use bar models to assist in solving real-world multiplication and division problems.• Express fractions, mixed numbers, and division expressions as decimals.• Add and subtract unlike, mixed, and improper fractions.• Multiply and divide mixed numbers and fractions.• Simplify algebraic expressions.• Evaluate inequalities.• Use the base and height to find the area of a triangle.• Read and write ratios.• Rewrite decimals as mixed numbers or fractions.• Multiply and divide decimals.• Compare percents, fractions, and decimals.• Use bar models to find the number represented by a percent.• Use and interpret double bar graphs.• Read and plot points on a coordinate grid.• Graph equations.• Identify and use the properties of angles, triangles, and four-sided figures.• Identify and classify three-dimensional shapes.• Determine the surface area and volume of three-dimensional shapes.



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Types of LessonsThe math course is divided into 19 chapters. Nine are completed during the first half of the course, and the remaining ten are completed during the second half. Each chapter contains the following lessons:

Chapter OpenerThis introductory lesson presents an overview of the chapter and reviews skills needed for the chapter. It is important to take time for review if your student seems unsure of any of the skills presented in these lessons.

LessonsThe daily lessons present the new concepts in a logical sequence, providing opportunity for practice.

Problem Solving LessonsEach chapter concludes with a lesson devoted to problem solving. Your student will apply skills and concepts to solve the challenging problem-solving activities. The lesson is based on the Put on Your Thinking Cap activities in the textbook and workbook. In some math programs, problems like these are considered enrichment or brain-teasers. In this math program, they are essential. Learning how to think logically and to apply skills and knowledge to solve problems will build your student’s critical thinking skills. Therefore, coaching your student through learning and using problem-solving strategies is essential.

It is recommended that you solve the problems along with your student so that you can model good problem-solving techniques. Also, if you solve a problem in a different way than your student does, you can both benefit from discussing your strategies and why one might be preferable.

It is also essential that these learning times be student-directed. First determine your student’s preferred approach. Does he like to try to tackle the problems alone and only ask for help if needed? Does he prefer solving the problems with you? Children who lack confidence may want you to tell them what to do, but you must avoid this. Your student needs to learn how to solve problems independently. As his abilities grow, his self-confidence will also grow.

Your main role in these sessions is to guide and to encourage. Allow your student to take charge, only turning to you when he is unable to proceed on his own. When this happens, instead of telling him what to do, ask leading questions: “Did you look at this?” “Have you considered that?” “What else do you know?” “What else could you try?” Even if you know he is making a mistake, let him continue until he realizes his own error and corrects it. Encourage him by reminding him that everyone makes mistakes and that making mistakes helps him learn.

While the process may seem painful or even tedious to you, know that allowing your student to engage in this type of mental exploration will not only make him a better math student, but it will also strengthen his reasoning skills and make him a better thinker overall. You can learn more about teaching problem-solving skills in the brief Solving Problems tutorial video in the Online Math Manual.

About the Course Grade 5 MATH • Calvert Education

About the Course • MATH

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Review and Test LessonsReview and testing occur at the end of each chapter. The Chapter Wrap Up in Math in Focus provides an overview of the concepts presented in the chapter, and the suggested pages in the Workbook provide additional practice. You may choose to review on one day and take the test the next day, or you may wish to review and test on the same day.

Constructed Responses for Chapter TestsYour student will be asked to write constructed responses to problems on chapter tests. Take some time to explain that when you answer a constructed response question, you answer the primary question of the problem, as well as explain how you found the answer. A constructed response differs from tell about it in that the explanation of a constructed response is written, while tell about it is oral. The explanation of a constructed response can be in the form of word sentences, drawing, chart or table, number sentence, or combination of these. The explanation of a constructed response answers the question: How do you know?

The following problems illustrate four different examples of constructed responses.

Strategy: Draw a picture Jane has 4 heart stickers. She gives 2 heart stickers to Tim. How many stickers does Jane have left?

Jane has 2 heart stickers left� First I drew 4 heart stickers� Then I crossed off 2 heart stickers and counted how many were left�

Strategy: Write a number sentence Emily has 6 flowers. She gives 3 flowers to Carl. How many flowers does Emily have left?

Emily has 3 flowers left� I know this because 6 – 3 = 3�

Strategy: Use words to describe the answer Mark’s birthday is in the third month of the year. In which month is his birthday?

Mark’s birthday is in March� I know this because the first month is January� The second month is February� The third month follows the second month and March follows February� March is the third month so Mark’s birthday is in March�



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Strategy: Make a chart or table Sam’s family drinks 2 juice boxes at lunch, 2 juice boxes for snack, and 2 juice boxes at dinner. How many juice boxes did Sam’s family drink today?

Lunch 2Snack 2Dinner 2

Total 6

Sam’s family drank 6 juice boxes�

Explain to your student that giving the correct answer is always part of a constructed response, but it is never the only part. Help him as he answers constructed response questions to plan which method he will use to explain how he knows his answer is correct.

If your student is also enrolled in the Calvert core course, the lesson numbers in the Math Manual may not correspond with those in the core Lesson Manual. Also note that the testing schedule in the Math course corresponds to the end of each textbook chapter. If your student is enrolled in the Advisory Teaching Service, you will be instructed to save the chapter tests to submit with the core Test Lessons, which appear after every 20 lessons. See the Testing section in the front of this manual for more detail.

The Learning Team Grade 5 MATH • Calvert Education

The Learning Team • MATH

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The Learning Team

Effective learning occurs when there is a cooperative effort among all members of the learning team: the student, the Learning Guide, and our team of professional educators.

The Role of the Student1. Be prepared for the lesson with a sharp pencil, paper, and all needed materials.

2. Work diligently and put forth your best effort.

3. Complete all work neatly. Write the lesson number in the upper right-hand corner of each paper. Write your name and the date at the bottom left of the paper.

4. Check your work carefully. Correct any mistakes, including mistakes in your writing.

5. Ask questions when you do not understand.

The Role of the Learning GuideThis math program is not designed for independent study. The Learning Guide is a responsible adult (usually a parent) who guides the student through the academic journey. The role of the Learning Guide varies depending on whether the student is enrolled directly with Calvert as a homeschool student, or in a public school and works virtually under the direction of a state-certified Supervising Teacher.

If the student is enrolled as a Calvert homeschool student, the Learning Guide serves as the home teacher who delivers the instruction, makes all instructional decisions, and determines the pacing.

If the student is enrolled in a public school, the certified teacher directs the instruction, determines the pacing, and makes decisions for intervention and enrichment. Even then, the Learning Guide has an essential role in helping the student with daily lessons.

All Learning Guides should follow these guidelines:

1. Plan ahead. Read through the day’s lesson beforehand so that you can gather materials and be familiar with both the subject matter and its presentation. Preparing for each lesson will help you anticipate your student’s questions and judge the accuracy of his responses and reasoning, even if they differ from your own.

2. Supervise the daily lesson, giving instructions and assistance when needed. Encourage your student to complete as much as he can on his own, especially when it comes to solving problems and finding the answers to his own questions.

3. Monitor your student carefully. Determine how much he can do before becoming frustrated or fatigued. Complete some work orally if writing becomes too tedious. Adjust the pacing and quantity of work to match your student’s ability. If your student has mastered a concept, he may not need to complete every assigned page or problem. If your student has difficulty with a lesson, provide more time for discussion, reinforcement with manipulatives, and practice.

Calvert Education • Grade 5 MATH The Learning Team

MATH • The Learning Team

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4. Encourage your student to use math vocabulary correctly and consistently. This will teach him to communicate effectively about mathematics.

5. Review your student’s work with him. Praise what he does well and help him correct his mistakes. Determine whether your student has mastered the material or needs more review.

6. Have realistic expectations. Know your student’s strengths and weaknesses. Young children may not be able to write or sit for long periods of time. Be patient and encourage your student in his efforts.

The Role of the Calvert Support Staff

Technical SupportCalvert Technical Support personnel are available to assist you with issues related to our online Math Manuals and resources. Call 1-800-288-7983 for support.

Education CounselorsThe Education Counselors are experienced teachers who provide support and encouragement to both Learning Guides and students. Contact them if you need assistance with the curriculum or in instructing your student. Call 410-785-3400 or 1-888-487-4652, option 4.

Testing Grade 5 MATH • Calvert Education

Testing • MATH

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Testing

It is your responsibility to administer and supervise all tests. Calvert provides three testing options to evaluate a student’s progress: the Calvert Test Series, the Advisory Teaching Service tests, and Express ATS. If your student is enrolled through a public school program, there may be alternate assessments administered by the school. Please ask your student’s teacher if you have any questions.

Calvert Test SeriesPurchased separately from the full course, each booklet in the Calvert Test Series includes one test per chapter with answer keys. The test questions are objective in nature. These tests are to be graded by you and not sent to Calvert. No records are kept by Calvert, and a Certificate of Completion is not available with the Calvert Test Series.

Advisory Teaching Service TestsThe chapter tests accompanying this course are prepared for students using the Advisory Teaching Service (ATS), which is purchased separately. Even if your student is not enrolled in this service, he is still welcome to use the tests; however, Calvert does not publish answers to these tests. If you prefer to administer tests that come with an answer key, you may want to order the Calvert Test Series, described in the previous section.

The chapter tests in the math course must be sent in groups with each core Test Lesson, as indicated in the Math Manual. Please follow the instructions carefully so that you are sending in all the necessary tests at the correct time.

An Advisory Teacher scores the tests and evaluates student progress. Sending one set of tests at a time allows your student to incorporate the Advisory Teacher’s feedback and suggestions into the next set of lessons and tests. Upon successful completion of the course, Calvert issues a Certificate of Completion to your student. Transcripts of grades are available upon request. Follow carefully the directions for administering and mailing tests if you use the Advisory Teaching Service.

A student may enroll in ATS at any time. The enrollment fee may be sent with the first set of test papers. For more information about ATS, call Calvert Education Services at 1-888-487-4652.

Directions for Administering TestsYou should administer all tests, observing the following rules:

1. You should not put marks of any kind on test papers unless otherwise directed.

2. Test questions must not be shown to your student in advance or discussed unless otherwise directed.

3. The only help that is permitted during the test is the reading and explanation of the test questions. Students should not be coached or assisted in answering the questions.

4. Unless specified, your student should not use any lesson materials, including textbooks, during testing.

Calvert Education • Grade 5 MATH Testing

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5. When separate paper is used to answer test questions or show math work, your student must:

◆ write his name on the paper ◆ write the test name in the upper right-hand corner ◆ write the subject name at the top

Submitting the TestsFor Calvert to provide you and your student with the best and most efficient service, we ask that you please do the following before placing the test papers in the envelope for mailing:

• Gather all required test papers as directed. Be sure to include all the parts of each test lesson. • Check that your student has followed all test directions exactly as given.• Check that all papers are written so that they can be easily read.• Check that your student has put his first and last name on each page.• Arrange the test papers so that all papers for each subject are in order. Do not staple papers or use

paper clips.• Put no additional marks of any kind on test papers unless otherwise instructed.• Trim the rough edges of the test pages.• Place all test papers in the envelope supplied for this purpose. (See Frequently Asked Questions

for information about envelopes.)• Write your student’s name on the outside envelope flap and send it to Calvert.

If your student is not enrolled in the Advisory Teaching Service, please do not send papers to Calvert.

Test Submission ScheduleStudents will submit Math Chapter Tests using the following schedule:

ATS Test Lesson Math Chapter Test

Test Lesson 20 Chapter 1 Test

Test Lesson 40Chapter 2 Test Chapter 3 Test


Test Lesson 80Chapter 5 Test Chapter 6 Test Chapter 7 Test



Testing Grade 5 MATH • Calvert Education

Testing • MATH

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Test Lesson 140Chapter 11 Test Chapter 12 Test Chapter 13 Test


Express ATSStudents who are enrolled in the Advisory Teaching Service may also submit test materials to Calvert electronically. This service, by utilizing scanning technology, eliminates the need to mail paper tests, thereby saving postage and negating the possibility of tests being lost in the mail. The requirements for this service are as follows:

FormatTo participate in this service, you must be able to scan and convert documents into Adobe Acrobat format (PDF). Some scanners have the capability to save documents directly in PDF format; however, if your scanner does not, you may refer to the Adobe Acrobat website for information on software that will accomplish this task for you. Please visit http://www.adobe.com/products/acrobat for more information.

File Submission and LabelingThe Express ATS program utilizes black-and-white copies of the Advisory Teaching Service tests. These may be downloaded from the Learning Guide Portal on My Calvert. If it is not possible for you to combine the test pages into a single document, you may send multiple PDF files in a single e-mail. Files should always be labeled clearly, noting the test number and, if needed, the page number (ex., “Test 60 Page 1”). Please ensure that you submit all pages of the test; do not send incomplete tests or parts of tests.

LegibilityStudent writing must be legible, clear, and dark enough to produce a clearly-scanned document. Calvert’s Records Department will verify that the scanned test is properly prepared before assigning it is sent to an Advisory Teacher. If it is not acceptable, the Records Department will e-mail a request that the paper test be sent by mail.

Important: While there is no due date for each set of tests for students using the Advisory Teaching Service, Calvert expects a student to complete the course within twelve months. Tests should be submitted at regular intervals. If a student needs more than one year to complete the course, you must contact Calvert Education Services and provide a full explanation of the need for the requested extension.

Calvert Education • Grade 5 MATH Testing

MATH • Testing

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Submitting the First Test

1. Scan the Student Information Questionnaire and all parts of Test Lesson 20, converting all documents into PDF format. If the work is completed in another format, including a word processing program, it must be printed and scanned as a PDF file. Before scanning tests, ensure that spelling tests, compositions, and any other pieces of your student’s work are placed first, followed by the test pages in their correct order. All files must be labeled so that the page numbers and/or page sequence of the document are clearly indicated. If you have any difficulty scanning the documents, please contact our Technical Support department at 1-800-288-7983 for assistance.

2. E-mail the Student Information Questionnaire, all parts of Test Lesson 20 as an attachment to [email protected]. Include your student’s full name and the test number in the subject line of the e-mail.

3. If the scanned test is satisfactory, the Records Department will assign an Advisory Teacher who will remain with your student for the duration of the course.

4. The graded test and a personal letter with grading comments from the Advisory Teacher will be returned to you by email in approximately five business days.

Subsequent tests will be submitted and graded according to this procedure throughout the school year.

Certificate of Completion(applicable only to students enrolled in the Advisory Teaching Service)

Calvert awards a Certificate of Completion to students enrolled in the Advisory Teaching Service who satisfactorily complete all tests with no failures. One make-up test per test is allowed in case of a failure. Calvert reserves the right to withhold a certificate if, in the opinion of the Advisory Teacher and the Manager of Student Services, the work does not meet Calvert standards.

Frequently Asked Questions Grade 5 MATH • Calvert Education

Frequently Asked Questions • MATH

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Frequently Asked Questions

What if I have a question about the curriculum? Whom can I contact?Calvert is dedicated to its students’ continued success. Our experienced Education Counselors are ready to answer questions, offer support and encouragement, and provide suggestions for students using our courses. The Counselors are available toll-free at 1-888-487-4652 between 8:00 A.M. and 5:30 P.M. EST, Monday through Friday, or through live chat found on the My Calvert site. You can also contact them by e-mail anytime at [email protected].

How do I contact Calvert by mail?Please address all letters to:

Calvert Education Services 10713 Gilroy Road Suite B Hunt Valley, MD 21031

Do not address letters to any individual teacher or member of the business staff. When the Advisory Teaching Service (ATS) is used, orders, checks, and letters pertaining to business matters should not be enclosed with your student’s test material, except when enrolling in the Advisory Teaching Service at Test Lesson 20. Then it is acceptable to enclose the credit card number or check and the Enrollment Form with Test Lesson 20.

How do I send my first Advisory Teaching Service Test?A yellow envelope and a student questionnaire can be found in the box with your course materials. Complete the questionnaire and send it along with the chapter tests that correspond with Test Lesson 20 and corresponding papers in the yellow envelope. Be sure to include all the parts. If you prefer to scan and e-mail tests, please see the Express ATS directions.

Upon Calvert’s receipt of the questionnaire and Test Lesson 20, your student will be assigned an Advisory Teacher, who will send the envelopes you will need for mailing the remainder of the tests, along with a personalized evaluation and letter of encouragement to the parent and student.

When is my student eligible to receive a Certificate of Completion?Calvert awards a Certificate of Completion to students enrolled in the Advisory Teaching Service who satisfactorily complete all of the tests. A make-up test is required in case of a failure on any test. Calvert reserves the right to withhold a certificate if, in the opinion of the Advisory Teacher and the Manager of Student Services, the work does not measure up to Calvert standards.

Transcripts are available upon request for grades 1–8. Note: A student may enroll in the Advisory Teaching Service any time before Test Lesson 20.

Calvert Education • Grade 5 MATH Frequently Asked Questions

MATH • Frequently Asked Questions

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What should I do if I find a mistake in the manual?Despite all our work to prevent mistakes, you may find an occasional error in our manuals. You may contact an Education Counselor, send a note to your Advisory Teacher, or contact us by e-mail at [email protected]. Corrections can be found by clicking on RSS Feed Correction on the top menu of the Online Math Manual. Check this site frequently for updated information.

How can I get a transcript of my student’s grades?Contact the Records Department at Calvert Education Services by calling 410-785-3400 or toll-free at 1-888-487-4652, or by writing to: Calvert Education Services, 10713 Gilroy Road, Suite B, Hunt Valley, MD 21031. Be sure to include your student’s full name and the name and address where the transcript is to be sent.

We wish you and your student much success with your math course this year. Please contact our experienced Education Counselors with any questions. They offer support and provide suggestions. The Counselors are available toll-free at 1-888-487-4652 between 8:00 A.M. and 5:30 P.M. EST, Monday through Friday, or through live chat found on the My Calvert site. You can contact them at any time through e-mail at [email protected].

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MATH MANUAL math course is based on the textbook series Math in Focus: Singapore Math, which was...

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