cumulative review answer key: Prealgebra 2e Lynn Marecek, Maryanne Anthony-Smith, Andrea Honeycutt Mathis, 2020-03-11 The images in this book are in color. For a less-expensive grayscale paperback version, see ISBN 9781680923254. Prealgebra 2e is designed to meet scope and sequence requirements for a one-semester prealgebra course. The text introduces the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics. Students who are taking basic mathematics and prealgebra classes in college present a unique set of challenges. Many students in these classes have been unsuccessful in their prior math classes. They may think they know some math, but their core knowledge is full of holes. Furthermore, these students need to learn much more than the course content. They need to learn study skills, time management, and how to deal with math anxiety. Some students lack basic reading and arithmetic skills. The organization of Prealgebra makes it easy to adapt the book to suit a variety of course syllabi. |
cumulative review answer key: More Minute Math Drills, Grades 3 - 6 Carson-Dellosa Publishing, 2008-02-19 Build students' math fluency with More Minute Math Drills: Multiplication and Division for grades 3Ð5. This 128-page book includes customizable drill pages for differentiating instruction, number searches, and color-by-number and matching activities. The book supports NCTM standards and includes reproducible award certificates and answer keys. |
cumulative review answer key: Math Puzzlers Grade 3 Wilai Crouch, William Crouch, 2002-09-01 Presenting grade 3 of our Math Puzzlers series that includes grades 3-6. These are like crossword puzzles where the answers are all numeric values. Down and Across clues are basic mathematical operations including addition, subtraction, multiplication, division and world problems. Our Math Puzzlers books contain 64 pages of exciting and challenging puzzles. This is a great source for reinforcement of math skills and providing homework sheets. Includes answers keys. |
cumulative review answer key: Math Puzzlers Grade 6 (ENHANCED eBook) Wilai Crouch, William Crouch, 2002-09-01 Presenting grade 6 of our Math Puzzlers series that includes grades 3-6. These are like crossword puzzles where the answers are all numeric values. Down and Across clues are basic mathematical operations including addition, subtraction, multiplication, division and world problems, advanced fractions, decimal, percents, and ratios. Our Math Puzzlers books contain 64 pages of exciting and challenging puzzles. This is a great source for reinforcement of math skills and providing homework sheets. Includes answers keys. |
cumulative review answer key: Math Puzzlers Grade 4 Wilai Crouch, William Crouch, 2002-09-01 Presenting grade 4 of our Math Puzzlers series that includes grades 3-6. These are like crossword puzzles where the answers are all numeric values. Down and Across clues are basic mathematical operations including addition, subtraction, multiplication, division and world problems, measurement conversions, and simple fractions. Our Math Puzzlers books contain 64 pages of exciting and challenging puzzles. This is a great source for reinforcement of math skills and providing homework sheets. Includes answers keys. |
cumulative review answer key: Reading Comprehension, Grade 5 , 2012-09-01 These nationally acclaimed titles ensure students’ academic success with teachers and parents. The key to the Master Skills series is reinforcing skills through practice; using a contemporary approach to learning fundamentals through real-life applications. The workbooks in this series are excellent tools to prepare young learners for proficiency testing and school success. Answer keys included. |
cumulative review answer key: 180 Days of High-Frequency Words for Prekindergarten Darcy Mellinger, 2023-04-03 Introduce prekindergarten students to sight words with 180 Days of High-Frequency Words. Based on Fry's 1,000 Instant Words, prekindergarten students are introduced to target sight words each week in a structure that focuses on word recognition. As students familiarize themselves with target words and increase their ability to identify high-frequency words in different ways, they will complete colorful and engaging activities that inspire a love of reading as they start to recognize sight words and read independently. Perfect for homeschool or learning in classrooms, these workbooks are a great tool to reinforce learning or prepare students for kindergarten. |
cumulative review answer key: 180 Days of Math for Fourth Grade, 2nd Edition ebook Stephanie Kuligowski, 2024-08-01 Build foundational mathematics skills with 180 Days of Math, 2nd Edition, a workbook of fun and useful daily practice activities. This easy-to-use fourth grade workbook is great for at-home learning or classroom instruction. Watch students learn to approach math problems more confidently with these standards-based learning activities. The second edition of this activity book utilizes thematic units and provides digital math learning resources. The new edition also includes modeling pages to explain major concepts and helpful sidebars to extend learning. Parents appreciate the grade-appropriate math concepts and engaging practice pages that children will enjoy. The daily math practice is ideal for homeschool, to reinforce learning at school, or to prevent learning loss over summer. Teachers rely on these workbooks to save them valuable time and address learning gaps. |
cumulative review answer key: Math Puzzlers Grade 5 (eBook) Wilai Crouch, William Crouch, 2002-09-01 Presenting grade 5 of our Math Puzzlers series that includes grades 3-6. These are like crossword puzzles where the answers are all numeric values. Down and Across clues are basic mathematical operations including addition, subtraction, multiplication, division and world problems, measurement conversions, and advanced fractions, decimals, and number bases 10 and 2. Our Math Puzzlers books contain 64 pages of exciting and challenging puzzles. This is a great source for reinforcement of math skills and providing homework sheets. Includes answers keys. |
cumulative review answer key: Math Practice, Grades 4 - 5 Carson-Dellosa Publishing, 2008-12-19 Build both math and test-taking skills with practical problem-solving demonstrations and drill pages that feature new skills plus a review. This curriculum-based, reproducible resource is the perfect supplement to any math program. Included are 96 cut-apart flash cards, an answer key, plus an award and completion certificate. --From the publisher. |
cumulative review answer key: Grammar by Diagram: Workbook – Third Edition Cindy L. Vitto, 2022-03-31 The Grammar by Diagram Workbook provides practice exercises, including cumulative exercises with which students can check their progress at key points, a “final exam” to test knowledge of the entire text, a summary of concepts for each chapter, and a complete answer key. |
cumulative review answer key: Reading, Grade 6 American Education Publishing, 2012-02-01 These nationally acclaimed titles ensure studentsÕ academic success with teachers and parents. The key to the Master Skills series is reinforcing skills through practice; using a contemporary approach to learning fundamentals through real-life applications. The workbooks in this series are excellent tools to prepare young learners for proficiency testing and school success. Answer keys included. |
cumulative review answer key: 180 Days of Math for Sixth Grade, 2nd Edition ebook Darlene Misconish Tyler, 2024-08-01 Develop advanced mathematics skills with 180 Days of Math, 2nd Edition, a workbook of engaging and effective daily practice activities. This easy-to-use sixth grade workbook is great for at-home learning or classroom instruction. Watch students learn to tackle complex math problems more confidently with these standards-based learning activities. The second edition of this activity book incorporates thematic units and offers digital math learning resources. The new edition also includes modeling pages to explain essential concepts and useful sidebars to extend learning. Parents appreciate the higher-level math concepts and interesting practice pages that children will enjoy. The daily math practice is great for homeschool, to reinforce learning at school, or to prevent learning loss over summer. Teachers rely on these workbooks to save them valuable time and address learning gaps. |
cumulative review answer key: Responsible Driving, Student E McGraw-Hill/Glencoe, 1996-05 A textbook for driver education which includes not only the expected information on technical, mechanical, and safety matters, but also chapters on selecting and insuring your car and planning a trip. |
cumulative review answer key: Decimals , 1995-07 |
cumulative review answer key: 180 Days of Math for Eighth Grade ebook Darlene Misconish Tyler, 2024-08-01 Improve advanced mathematics skills with 180 Days of Math, a workbook of motivating and effective daily practice activities. This easy-to-use eighth grade workbook is ideal for at-home learning or classroom instruction. Watch students learn how to take on complex math problems more confidently with these standards-based learning activities. The second edition of this activity book utilizes thematic units and offers digital math learning resources. The new edition also includes modeling pages to explain essential concepts and helpful sidebars to extend learning. Parents appreciate the higher-level math concepts and engaging practice pages that children will enjoy. The daily math practice is great for homeschool, to reinforce learning at school, or to prevent learning loss over summer. Teachers rely on these workbooks to save them valuable time and address learning gaps. |
cumulative review answer key: Reading, Grade 5 , 2012-09-01 These nationally acclaimed titles ensure students’ academic success with teachers and parents. The key to the Master Skills series is reinforcing skills through practice; using a contemporary approach to learning fundamentals through real-life applications. The workbooks in this series are excellent tools to prepare young learners for proficiency testing and school success. Answer keys included. |
cumulative review answer key: Know It All! Grades 3-5 Math Lisa Meltzer, 2004 We Get Results We know what it takes to succeed in the classroom and on tests. This book includes strategies that are proven to improve student performance. We provide - content review, detailed lessons, and practice exercises modeled on the skills tested by standardized tests - proven test-taking skills and techniques such as how to solve word problems and answer open-ended questions |
cumulative review answer key: Reading, Grade 5 American Education Publishing, 2012-02-01 These nationally acclaimed titles ensure studentsÕ academic success with teachers and parents. The key to the Master Skills series is reinforcing skills through practice; using a contemporary approach to learning fundamentals through real-life applications. The workbooks in this series are excellent tools to prepare young learners for proficiency testing and school success. Answer keys included. |
cumulative review answer key: Essentials of New Jersey Real Estate Edith Lank, Joan m Sobeck, 2004 Both conprehensive an up to date, this text provides an easy to understand overview of New Jersey real estate and contains all the necessary materials to teach a top notch licensing class.Highlights include: * Getting Started in Real Estate Appendix in Chapter 1 provides practical information for a career in real estate. * Complete reprint of the New Jersey License Act and the state commission rules and regulations. |
cumulative review answer key: Grammar by Diagram – Third Edition Cindy L. Vitto, 2022-02-03 Grammar by Diagram is a book designed for anyone who wishes to improve grammatical understanding and skill. Using traditional sentence diagraming as a visual tool, the book explains how to expand ten basic patterns for simple sentences into compound, complex, and compound-complex sentences, and how to employ verbals (infinitives, gerunds, and participles), other specialized structures, and even punctuation for additional versatility. The third edition includes more exercises at the foundational level and more focus on how to arrange and combine sentences for maximum effect. It also includes a new initial CHAPTER on “preliminaries” to define a few basic but overarching concepts, a separate CHAPTER on pronouns, and a CHAPTER devoted to the connection between understanding grammar and writing effective sentences. |
cumulative review answer key: Intermediate Algebra Aufmann, Richard N. Aufmann, 1994-12 |
cumulative review answer key: 180 Days of Math for Fifth Grade, 2nd Edition ebook Melanie Bradley, Mary Anne Rossbach, 2024-08-01 Improve foundational mathematics skills with 180 Days of Math, 2nd Edition, a workbook of fun and effective daily practice activities. This easy-to-use fifth grade workbook is great for at-home learning or classroom instruction. Watch students learn to tackle math problems more confidently with these standards-based learning activities. The second edition of this activity book utilizes thematic units and offers digital math learning resources. The new edition also includes modeling pages to explain major concepts and useful sidebars to extend learning. Parents appreciate the grade-appropriate math concepts and engaging practice pages that children will enjoy. The daily math practice is ideal for homeschool, to reinforce learning at school, or to prevent learning loss over summer. Teachers rely on these workbooks to save them valuable time and address learning gaps. |
cumulative review answer key: Interactive Learning: Daily Sentence Editing, Grade 5 Michael H. Levin, 2011 Use these fully interactive products to teach students important skills in grammar, punctuation, and spelling. The self-correcting activities work on ALL brands of interactive whiteboards. The PC/Mac CD provides 180 to 270 ready-to-edit sentences per grade. In addition, thousands more sentences and paragraphs can be created and saved. The book format makes it easy for teachers to see the entire scope of the product at a glance and to copy pages as needed for individual work. |
cumulative review answer key: 180 Days of Math for Second Grade, 2nd Edition ebook Christine Dugan, 2024-08-01 Improve foundational mathematics skills with 180 Days of Math, 2nd Edition, a workbook of exciting and effective daily practice activities. This easy-to-use second grade workbook is great for at-home learning or classroom instruction. Watch students learn to tackle key math concepts more confidently with these standards-based learning activities. The second edition of this activity book incorporates thematic units and offers digital math learning resources. The new edition also includes modeling pages to explain fundamental concepts and helpful sidebars to extend learning. Parents appreciate the grade-appropriate math concepts and engaging practice pages that children will enjoy. The daily math practice is great for homeschool, to reinforce learning at school, or to prevent learning loss over summer. Teachers rely on these workbooks to save them valuable time and address learning gaps. |
cumulative review answer key: 180 Days of Math for Seventh Grade ebook Darlene Misconish Tyler, 2024-08-01 Build advanced mathematics skills with 180 Days of Math, a workbook of effective and meaningful daily practice activities. This easy-to-use seventh grade workbook is perfect for at-home learning or classroom instruction. Watch students learn to tackle complex math problems more confidently with these standards-based learning activities. This activity book incorporates thematic units and provides digital math learning resources. The practice book also includes modeling pages to explain important concepts and useful sidebars to extend learning. Parents appreciate the higher-level math concepts and engaging practice pages that children will enjoy. The daily math practice is ideal for homeschool, to reinforce learning at school, or to prevent learning loss over summer. Teachers rely on these workbooks to save them valuable time and address learning gaps. |
cumulative review answer key: Reading, Grade 6 , 2012-09-01 These nationally acclaimed titles ensure students’ academic success with teachers and parents. The key to the Master Skills series is reinforcing skills through practice; using a contemporary approach to learning fundamentals through real-life applications. The workbooks in this series are excellent tools to prepare young learners for proficiency testing and school success. Answer keys included. |
cumulative review answer key: 180 Days of Math for First Grade, 2nd Edition ebook Kristin Kemp, 2024-08-01 Build foundational mathematics skills with 180 Days of Math, 2nd Edition, a workbook of engaging and effective daily practice activities. This easy-to-use first grade workbook is great for at-home learning or classroom instruction. Watch students learn to tackle math problems more confidently with these standards-based learning activities. The second edition of this activity book incorporates thematic units and provides digital math learning resources. The new edition also includes modeling pages to explain essential concepts and useful sidebars to extend learning. Parents appreciate the grade-appropriate math concepts and fun practice pages that children will enjoy. The daily math practice is great for homeschool, to reinforce learning at school, or to prevent learning loss over summer. Teachers rely on these workbooks to save them valuable time and address learning gaps. |
cumulative review answer key: Prealgebra Lynn Marecek, MaryAnne Anthony-Smith, 2015-09-25 Prealgebra is designed to meet scope and sequence requirements for a one-semester prealgebra course. The text introduces the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics. Prealgebra follows a nontraditional approach in its presentation of content. The beginning, in particular, is presented as a sequence of small steps so that students gain confidence in their ability to succeed in the course. The order of topics was carefully planned to emphasize the logical progression throughout the course and to facilitate a thorough understanding of each concept. As new ideas are presented, they are explicitly related to previous topics.--BC Campus website. |
cumulative review answer key: GED Literature and the Arts Steck-Vaughn Company, 1997-05 A workbook for the adult learner who needs help to master the skills for passing the GED test on reading comprehension and analysis. |
cumulative review answer key: Mastering Japanese Kanji Glen Nolan Grant, 2009-06-10 This is a comprehensive, self-study workbook for learning Japanese characters. Mastering Japanese Kanji can help you greatly reduce the time and effort involved in learning to read Japanese and write Japanese. It does so by introducing a method that is both effective and easy to use in memorizing the meanings and pronunciations of Kanji--the array of characters that are used in the Japanese language to symbolize everything from abstract ideas to concrete nouns. Learning any of the kanji is a two-step process, requiring that you remember both the visual aspect of a character (so you can recognize it when you see it) and the aural aspect (so you will know how to say and, thus, read it). The method employed by Mastering Japanese Kanji will show you how to tackle both of these aspects from the outset, and by so doing enable you to immediately get down to the practical (and fun!) business of recognizing and reading kanji on everything from street signs to newspapers. By the time you finish this book, in fact, you will be able to boast of a Japanese vocabulary numbering in the thousands of words. Key features: Downloadable audio helps to reinforce the written material Teaches the 200 most common kanji and the hundreds of compounds that use include them. Unique, specially-designed drawings and entertaining stories help you learn more quickly. Sample sentences, along with common words and compounds, expand your vocabulary by showing each kanji used in context. Stroke-order diagrams show the correct way to write each chapter. Chapter and cumulative review exercises help ensure master of what you've learned. Complete indexes show Japanese readings and English meanings for all Kanji. Contents of the downloadable audio: Stroke order animations for all 200 kanji characters. Native speaker audio recordings of all: Kanji characters. Common words and compounds. Sample sentences. |
cumulative review answer key: Writing and Grammar: Communication in Action Pearson/Prentice Hall, Joyce Armstrong Carroll, 2004 |
cumulative review answer key: The Math Tutor′s Handbook Steven Leinwand, Caroline Welty, 2024-10-30 Boost confidence, reduce anxiety, and spark those aha moments for students through effective math tutoring! Filled with research-backed guidance for tutors to ensure students develop the confidence and skills they need, The Math Tutor′s Handbook: Strategies and Tips for Success is the ultimate guide for effective math tutoring. As national data suggest that students are falling behind in mathematics performance, the role of the math tutor is more critical than ever before. The authors bring decades of wisdom and know-how to the tutoring table. Steve Leinwand—a renowned leader in math education—and Caroline Welty—a sought-after tutor who brings current insight into today’s learners—have blended their collective experience into a comprehensive handbook that offers clear guidance for effective tutoring in grades K-12 mathematics. With their conversational style, the authors provide hands-on resources to help diagnose individuals’ mathematical strengths and needs to make sure that each tutoring session carries the necessary impact.. Through a range of activities, checklists, examples, stories, and suggestions, this handbook Focuses on the importance of personalized instruction that no computer program can match Describes how to develop strong, supportive relationships between tutor and student Identifies common stumbling blocks around the big ideas in mathematics across grade levels and suggests how to overcome them Celebrates mistakes as valuable learning opportunities to foster a deeper comprehension of mathematical concepts rather than just getting the right answer Promotes skills needed for the future, such as problem-solving and critical thinking, which are beneficial not only in future math classes but also in various aspects of life and work Let The Math Tutor′s Handbook empower you to create a positive learning environment for your students and help them boost self-confidence, reduce math anxiety, and master essential skills. Whether you are a private tutor or parent, you work in a tutoring center, or you are an in-school K-12 math teacher, coach, or specialist, this is the resource you need for the math tutoring strategies and practices that are foundational to successful learning. |
cumulative review answer key: Intermediate Algebra with Nolting Seventh Edition, Custom Publication Aufmann, 2005-03 |
cumulative review answer key: 100 Top Picks for Homeschool Curriculum Cathy Duffy, 2005 A critical volume for the homeschooling community that helps parents make informed choices regarding learning styles and curriculum |
cumulative review answer key: Learning Japanese Kanji Glen Nolan Grant, 2021-10-12 An enjoyable and effective way to learn Japanese kanji! This useful reference book helps self-study and classroom students remember the meanings and pronunciations of 520 essential kanji. An otherwise daunting task, memorization is made easier with this book--which uses mnemonic techniques based on the psychology of learning and memory. Key principles include the use of visual imagery, the visualization of short stories, and the systematic building-block approach that shows how more complicated characters are constructed from basic elements. This is a practical guide with a clear, concise, and appealing layout; it is well-indexed with easy look-up methods. The kanji in this volume give you the majority of characters you will encounter in daily life, from newspapers to street signs. It also includes the kanji required for the AP Japanese exam and N4 & N5 JLPT tests. Accompanying online audio provides recordings by native Japanese speakers to perfect your pronunciation. |
cumulative review answer key: Understanding Elementary Algebra Arthur Goodman, Lewis Hirsch, 1991 |
cumulative review answer key: Reading Comprehension, Grade 5 American Education Publishing, 2011-09-01 These nationally acclaimed titles ensure studentsÕ academic success with teachers and parents. The key to the Master Skills series is reinforcing skills through practice; using a contemporary approach to learning fundamentals through real-life applications. The workbooks in this series are excellent tools to prepare young learners for proficiency testing and school success. Answer keys included. |
cumulative review answer key: Exploring Intermediate Algebra Richard N. Aufmann, Joanne S. Lockwood, Laurie Boswell, 2004 The Instructor's Annotated Edition features Instructor Notes, with teaching ideas, warnings about common student errors, and historical notes. Instructor Notes next to each Example refer teachers to a similar problem in the following exercise set for possible use as an additional in-class example. Suggested Activities (found in the margin) can be used in class to explore concepts, as alternative (discovery) strategies for teaching the concept, or as cooperative learning activities. Suggested Assignments before each exercise set save instructors class preparation time. |
cumulative review answer key: Algebra Richard N. Aufmann, Joanne S. Lockwood, Aufmann, 2004-02 Based on the best-selling series by the Aufmann team, this hardcover text for the combined introductory and intermediate algebra course adheres to the formula that has made the Aufmann developmental texts so reliable for both students and instructors. The text's clear writing style, emphasis on problem-solving strategies, and proven Aufmann Interactive Method--in an objective-based framework--offer guided learning for both lecture and self-paced courses. The completely integrated learning system is organized by objectives. Each chapter begins with a list of learning objectives, which are woven throughout the text, in Exercises, Chapter Tests, and Cumulative Reviews, as well as through the print and multimedia ancillaries. The result is a seamless, easy-to-follow learning system. |
cumulative or cummulative | WordReference Forums
Mar 11, 2009 · Yes, I have. And it seems it does not exist. But if you look for cummulative at Google thousands of pages appear.
coordinate vs cumulative adjectives | WordReference Forums
Aug 6, 2014 · Moreover, I want to say that after being a long time without a clear answer regarding this particular grammar point about coordinate vs. cumulative adjectives, both …
Cumulative vs continuous - WordReference Forums
Jan 29, 2020 · (b) I have studied English for 3 hours. (These three hours may be the total and can be either cumulative or continuous, depending on context.) If the hours for which the speaker …
cumulative vs cumulated - WordReference Forums
Jun 30, 2017 · Here are the source and context for each: Cumulated net cash flow term structures with positive and equal final wealth Note (fig. 2): The left plot shows a cumulated net cash flow …
CUM = Grade Point Average? | WordReference Forums
Sep 8, 2008 · CUM se refiere a la palabra CUMulative, en "Cumulative Grade Point Average" (CUM GPA). Después de cada semestre cumplido, se calcula la media de TODOS los puntos …
Cum Totals [=cumulative / US school transcripts]
Jan 23, 2011 · Cum GPA: which, as I understand, stands for cumulative average grade so the average of all the grades achieved that term Cum Totals: no idea - I guess it is a sum of …
As of today or To date - WordReference Forums
Jan 20, 2012 · I would use "to date" to describe the cumulative effect of an ongoing process: To date, our charity has distributed 27,000 meals to the hungry. The main difference is that "to …
Old sins cast long shadows - Use & origin - WordReference Forums
Nov 16, 2006 · I am a bit puzzled by the phrase "Old sins cast long shadows". On the one hand, the meaning is pretty obvious (and a literal meaning is possible here). On the other hand, why …
cumulative or cummulative | WordReference Forums
Mar 11, 2009 · Yes, I have. And it seems it does not exist. But if you look for cummulative at Google thousands of pages appear.
coordinate vs cumulative adjectives | WordReference Forums
Aug 6, 2014 · Moreover, I want to say that after being a long time without a clear answer regarding this particular grammar point about coordinate vs. cumulative adjectives, both …
Cumulative vs continuous - WordReference Forums
Jan 29, 2020 · (b) I have studied English for 3 hours. (These three hours may be the total and can be either cumulative or continuous, depending on context.) If the hours for which the speaker …
cumulative vs cumulated - WordReference Forums
Jun 30, 2017 · Here are the source and context for each: Cumulated net cash flow term structures with positive and equal final wealth Note (fig. 2): The left plot shows a cumulated net cash flow …
CUM = Grade Point Average? | WordReference Forums
Sep 8, 2008 · CUM se refiere a la palabra CUMulative, en "Cumulative Grade Point Average" (CUM GPA). Después de cada semestre cumplido, se calcula la media de TODOS los puntos …
Cum Totals [=cumulative / US school transcripts] - WordReference …
Jan 23, 2011 · Cum GPA: which, as I understand, stands for cumulative average grade so the average of all the grades achieved that term Cum Totals: no idea - I guess it is a sum of …
As of today or To date - WordReference Forums
Jan 20, 2012 · I would use "to date" to describe the cumulative effect of an ongoing process: To date, our charity has distributed 27,000 meals to the hungry. The main difference is that "to …
Old sins cast long shadows - Use & origin - WordReference Forums
Nov 16, 2006 · I am a bit puzzled by the phrase "Old sins cast long shadows". On the one hand, the meaning is pretty obvious (and a literal meaning is possible here). On the other hand, why …