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example of tape diagram: Diagrammatic Representation and Inference Amrita Basu, Gem Stapleton, Sven Linker, Catherine Legg, Emmanuel Manalo, Petrucio Viana, 2021-09-21 This book constitutes the refereed proceedings of the 12th International Conference on the Theory and Application of Diagrams, Diagrams 2021, held virtually in September 2021. The 16 full papers and 25 short papers presented together with 16 posters were carefully reviewed and selected from 94 submissions. The papers are organized in the following topical sections: design of concrete diagrams; theory of diagrams; diagrams and mathematics; diagrams and logic; new representation systems; analysis of diagrams; diagrams and computation; cognitive analysis; diagrams as structural tools; formal diagrams; and understanding thought processes. 10 chapters are available open access under a Creative Commons Attribution 4.0 International License via link.springer.com. |
example of tape diagram: Mercy Watson to the Rescue Kate DiCamillo, Chris Van Dusen, 2009-12-22 After Mercy the pig snuggles to sleep with the Watsons, all three awaken with the bed teetering on the edge of a big hole in the floor. |
example of tape diagram: Technology in Mathematics Education Mathematics Education Research Group of Australasia. Conference, 1996 This document contains papers presented at the 19th annual conference of the Mathematics Education Research Group of Australasia. Topics of the presentations include learning research, mathematical representations, problem solving, strategic learning behaviors, algebraic thinking and learning environments, teaching and learning of algebra, assessment, disabilities, calculators, collective argumentation, teachers' beliefs and practice, primary mathematics, differential calculus, teachers' knowledge, trigonometry and geometry, professional development, issues in teaching, standardizing the curriculum, team writing, statistics, Newman error analysis, gender issues, Internet, transition to secondary mathematics, computers and technology, negative numbers, subtraction, aboriginal educators' views, graphics calculators, language, area, probability, word problems, classroom communication, mathematical investigations, ethics and morality, integrating science and mathematics concepts, students' attitudes, instructional computing, expository writing, mathematical autobiographies, problem posing, misconceptions, discussion-based teaching, the Riemann integral, diagrams for solving word problems, fairness and fractions in early childhood, children's probability judgments, phenomenology of writing-to-learn, teachers' beliefs about teaching behaviors, and linear programming. An author index and a subject index are also included. (JRH) |
example of tape diagram: Studies in Tape Reading Richard Demille Wyckoff, 1910 |
example of tape diagram: Guided Math Workshop Laney Sammons, Donna Boucher, 2017-03-01 This must-have resource helps teachers successfully plan, organize, implement, and manage Guided Math Workshop. It provides practical strategies for structure and implementation to allow time for teachers to conduct small-group lessons and math conferences to target student needs. The tested resources and strategies for organization and management help to promote student independence and provide opportunities for ongoing practice of previously mastered concepts and skills. With sample workstations and mathematical tasks and problems for a variety of grade levels, this guide is sure to provide the information that teachers need to minimize preparation time and meet the needs of all students. |
example of tape diagram: Helping Children Learn Mathematics National Research Council, Division of Behavioral and Social Sciences and Education, Center for Education, Mathematics Learning Study Committee, 2002-07-31 Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society. |
example of tape diagram: APlusPhysics Dan Fullerton, 2011-04-28 APlusPhysics: Your Guide to Regents Physics Essentials is a clear and concise roadmap to the entire New York State Regents Physics curriculum, preparing students for success in their high school physics class as well as review for high marks on the Regents Physics Exam. Topics covered include pre-requisite math and trigonometry; kinematics; forces; Newton's Laws of Motion, circular motion and gravity; impulse and momentum; work, energy, and power; electrostatics; electric circuits; magnetism; waves; optics; and modern physics. Featuring more than five hundred questions from past Regents exams with worked out solutions and detailed illustrations, this book is integrated with the APlusPhysics.com website, which includes online question and answer forums, videos, animations, and supplemental problems to help you master Regents Physics essentials. The best physics books are the ones kids will actually read. Advance Praise for APlusPhysics Regents Physics Essentials: Very well written... simple, clear engaging and accessible. You hit a grand slam with this review book. -- Anthony, NY Regents Physics Teacher. Does a great job giving students what they need to know. The value provided is amazing. -- Tom, NY Regents Physics Teacher. This was tremendous preparation for my physics test. I love the detailed problem solutions. -- Jenny, NY Regents Physics Student. Regents Physics Essentials has all the information you could ever need and is much easier to understand than many other textbooks... it is an excellent review tool and is truly written for students. -- Cat, NY Regents Physics Student |
example of tape diagram: Street-Fighting Mathematics Sanjoy Mahajan, 2010-03-05 An antidote to mathematical rigor mortis, teaching how to guess answers without needing a proof or an exact calculation. In problem solving, as in street fighting, rules are for fools: do whatever works—don't just stand there! Yet we often fear an unjustified leap even though it may land us on a correct result. Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation. In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge—from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool—the general principle—from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and biology. They benefited from an approach that avoided rigor and taught them how to use mathematics to solve real problems. Street-Fighting Mathematics will appear in print and online under a Creative Commons Noncommercial Share Alike license. |
example of tape diagram: The Big Book of Conflict Resolution Games: Quick, Effective Activities to Improve Communication, Trust and Collaboration Mary Scannell, 2010-05-28 Make workplace conflict resolution a game that EVERYBODY wins! Recent studies show that typical managers devote more than a quarter of their time to resolving coworker disputes. The Big Book of Conflict-Resolution Games offers a wealth of activities and exercises for groups of any size that let you manage your business (instead of managing personalities). Part of the acclaimed, bestselling Big Books series, this guide offers step-by-step directions and customizable tools that empower you to heal rifts arising from ineffective communication, cultural/personality clashes, and other specific problem areas—before they affect your organization's bottom line. Let The Big Book of Conflict-Resolution Games help you to: Build trust Foster morale Improve processes Overcome diversity issues And more Dozens of physical and verbal activities help create a safe environment for teams to explore several common forms of conflict—and their resolution. Inexpensive, easy-to-implement, and proved effective at Fortune 500 corporations and mom-and-pop businesses alike, the exercises in The Big Book of Conflict-Resolution Games delivers everything you need to make your workplace more efficient, effective, and engaged. |
example of tape diagram: A Focus on Ratios and Proportions Marjorie M. Petit, Robert E. Laird, Matthew F. Wyneken, Frances R. Huntoon, Mary D. Abele-Austin, Jean D. Sequeira, 2020-05-17 This resource offers a groundbreaking effort to make mathematics education research on ratios and proportions readily accessible and understandable to preservice and in-service teachers of grades 6 to 8. Using extensive annotated samples of student work and based on research gathered in the Ongoing Assessment Project (OGAP), A Focus on Ratios and Proportions teaches readers how students develop understanding and fluency involving ratio and proportion concepts. Special features include: A close focus on student work, including 150+ annotated pieces of student work, to help teachers improve their ability to recognize, assess and monitor their students’ errors and misconceptions, as well as their developing conceptual understanding. A focus on the OGAP Ratios and Proportions Progression, based on research conducted with hundreds of teachers and thousands of pieces of student work. Sections on how Common Core State Standards for Math (CCSSM) are supported by math education research. Student work samples and vignettes to illuminate the research, as well as end of chapter Looking Back questions and Instructional Links, which allow teachers to analyze evidence of student thinking and strategies and consider instructional responses. An accompanying eResource, available online, offers an answer key as well as extensive explanation of the Looking Back questions. Like A Focus on Multiplication and Division and A Focus on Fractions, this book is designed to bridge the gap between what math education researchers know and what teachers need to know in order to better understand evidence in student work and make effective instructional decisions. |
example of tape diagram: Division Word Problems , 2006 |
example of tape diagram: The Knot Book Colin Conrad Adams, 2004 Knots are familiar objects. Yet the mathematical theory of knots quickly leads to deep results in topology and geometry. This work offers an introduction to this theory, starting with our understanding of knots. It presents the applications of knot theory to modern chemistry, biology and physics. |
example of tape diagram: Teaching Early Algebra through Example-Based Problem Solving Meixia Ding, 2021-04-07 Drawing on rich classroom observations of educators teaching in China and the U.S., this book details an innovative and effective approach to teaching algebra at the elementary level, namely, teaching through example-based problem solving (TEPS). Recognizing young children’s particular cognitive and developmental capabilities, this book powerfully argues for the importance of infusing algebraic thinking into early grade mathematics teaching and illustrates how this has been achieved by teachers in U.S. and Chinese contexts. Documenting best practice and students’ responses to example-based instruction, the text demonstrates that this TEPS approach – which involves the use of worked examples, representations, and deep questions – helps students learn and master fundamental mathematical ideas, making it highly effective in developing algebraic readiness and mathematical understanding. This text will benefit post-graduate students, researchers, and academics in the fields of mathematics, STEM, and elementary education, as well as algebra research more broadly. Those interested in teacher education, classroom practice, and developmental and cognitive psychology will also find this volume of interest. |
example of tape diagram: Mathematics Framework for California Public Schools California. Curriculum Development and Supplemental Materials Commission, 1999 |
example of tape diagram: Let's Play Math Denise Gaskins, 2012-09-04 |
example of tape diagram: Causal Inference Scott Cunningham, 2021-01-26 An accessible, contemporary introduction to the methods for determining cause and effect in the Social Sciences “Causation versus correlation has been the basis of arguments—economic and otherwise—since the beginning of time. Causal Inference: The Mixtape uses legit real-world examples that I found genuinely thought-provoking. It’s rare that a book prompts readers to expand their outlook; this one did for me.”—Marvin Young (Young MC) Causal inference encompasses the tools that allow social scientists to determine what causes what. In a messy world, causal inference is what helps establish the causes and effects of the actions being studied—for example, the impact (or lack thereof) of increases in the minimum wage on employment, the effects of early childhood education on incarceration later in life, or the influence on economic growth of introducing malaria nets in developing regions. Scott Cunningham introduces students and practitioners to the methods necessary to arrive at meaningful answers to the questions of causation, using a range of modeling techniques and coding instructions for both the R and the Stata programming languages. |
example of tape diagram: The How-to Guide for Integrating the Common Core in Mathematics in Grades 6-8 Karen Gartland, 2014-04-01 Uncover how to integrate the Common Core in mathematics with this easy-to-use guide. With a focus on secondary mathematics, this resource will leave teachers feeling empowered to construct their own lessons with easy-to-follow ideas and suggestions. Strategies and ideas are provided to help teachers deliver material while meeting the Common Core and other state standards. Instructional shifts in the Common Core State Standards are highlighted and examples of implementation are included with practical tips on how to integrate these standards in a lesson. |
example of tape diagram: Sprint Jake Knapp, John Zeratsky, Braden Kowitz, 2016-03-08 From inside Google Ventures, a unique five-day process for solving tough problems, proven at thousands of companies in mobile, e-commerce, healthcare, finance, and more. Entrepreneurs and leaders face big questions every day: What’s the most important place to focus your effort, and how do you start? What will your idea look like in real life? How many meetings and discussions does it take before you can be sure you have the right solution? Now there’s a surefire way to answer these important questions: the Design Sprint, created at Google by Jake Knapp. This method is like fast-forwarding into the future, so you can see how customers react before you invest all the time and expense of creating your new product, service, or campaign. In a Design Sprint, you take a small team, clear your schedules for a week, and rapidly progress from problem, to prototype, to tested solution using the step-by-step five-day process in this book. A practical guide to answering critical business questions, Sprint is a book for teams of any size, from small startups to Fortune 100s, from teachers to nonprofits. It can replace the old office defaults with a smarter, more respectful, and more effective way of solving problems that brings out the best contributions of everyone on the team—and helps you spend your time on work that really matters. |
example of tape diagram: Algebra 2 , 2001-09-14 |
example of tape diagram: Human Dimension and Interior Space Julius Panero, Martin Zelnik, 2014-01-21 The study of human body measurements on a comparative basis is known as anthropometrics. Its applicability to the design process is seen in the physical fit, or interface, between the human body and the various components of interior space. Human Dimension and Interior Space is the first major anthropometrically based reference book of design standards for use by all those involved with the physical planning and detailing of interiors, including interior designers, architects, furniture designers, builders, industrial designers, and students of design. The use of anthropometric data, although no substitute for good design or sound professional judgment should be viewed as one of the many tools required in the design process. This comprehensive overview of anthropometrics consists of three parts. The first part deals with the theory and application of anthropometrics and includes a special section dealing with physically disabled and elderly people. It provides the designer with the fundamentals of anthropometrics and a basic understanding of how interior design standards are established. The second part contains easy-to-read, illustrated anthropometric tables, which provide the most current data available on human body size, organized by age and percentile groupings. Also included is data relative to the range of joint motion and body sizes of children. The third part contains hundreds of dimensioned drawings, illustrating in plan and section the proper anthropometrically based relationship between user and space. The types of spaces range from residential and commercial to recreational and institutional, and all dimensions include metric conversions. In the Epilogue, the authors challenge the interior design profession, the building industry, and the furniture manufacturer to seriously explore the problem of adjustability in design. They expose the fallacy of designing to accommodate the so-called average man, who, in fact, does not exist. Using government data, including studies prepared by Dr. Howard Stoudt, Dr. Albert Damon, and Dr. Ross McFarland, formerly of the Harvard School of Public Health, and Jean Roberts of the U.S. Public Health Service, Panero and Zelnik have devised a system of interior design reference standards, easily understood through a series of charts and situation drawings. With Human Dimension and Interior Space, these standards are now accessible to all designers of interior environments. |
example of tape diagram: The Allegory of the Cave Plato, 2021-01-08 The Allegory of the Cave, or Plato's Cave, was presented by the Greek philosopher Plato in his work Republic (514a–520a) to compare the effect of education (παιδεία) and the lack of it on our nature. It is written as a dialogue between Plato's brother Glaucon and his mentor Socrates, narrated by the latter. The allegory is presented after the analogy of the sun (508b–509c) and the analogy of the divided line (509d–511e). All three are characterized in relation to dialectic at the end of Books VII and VIII (531d–534e). Plato has Socrates describe a group of people who have lived chained to the wall of a cave all of their lives, facing a blank wall. The people watch shadows projected on the wall from objects passing in front of a fire behind them, and give names to these shadows. The shadows are the prisoners' reality. |
example of tape diagram: Glencoe Math, Course 1, Student Edition McGraw-Hill Education, 2014-06-06 The Glencoe Math Student Edition is an interactive text that engages students and assist with learning and organization. It personalizes the learning experience for every student. The write-in text, 3-hole punched, perfed pages allow students to organize while they are learning. |
example of tape diagram: Eureka Math Grade 6 Learn, Practice, Succeed Workbook #2 (Module 2) Great Minds (Firm), 2021-03-15 |
example of tape diagram: The Everything Parent's Guide to Common Core Math Grades 6-8 Jamie L Sirois, Adam A. Wiggin, 2015-01-18 If you learned math the old way, the new teaching methods may be unfamiliar to you. Sirois and Wiggin provide examples and exercises that correspond to each standard of the new Common Core national standards for math in grades 6 to 8, so you'll have the confidence you need to help your kids succeed and thrive. -- |
example of tape diagram: Eureka Math Curriculum Study Guide Common Core, 2015-03-23 Eureka Math is a comprehensive, content-rich PreK–12 curriculum that follows the focus and coherence of the Common Core State Standards in Mathematics (CCSSM) and carefully sequences the mathematical progressions into expertly crafted instructional modules. The companion Study Guides to Eureka Math gather the key components of the curriculum for each grade into a single location, unpacking the standards in detail so that both users and non-users of Eureka Math can benefit equally from the content presented. Each of the Eureka Math Curriculum Study Guides includes narratives that provide educators with an overview of what students should be learning throughout the year, information on alignment to the instructional shifts and the standards, design of curricular components, approaches to differentiated instruction, and descriptions of mathematical models. The Study Guides can serve as either a self-study professional development resource or as the basis for a deep group study of the standards for a particular grade. For teachers who are new to the classroom or the standards, the Study Guides introduce them not only to Eureka Math but also to the content of the grade level in a way they will find manageable and useful. Teachers familiar with the Eureka Math curriculum will also find this resource valuable as it allows for a meaningful study of the grade level content in a way that highlights the coherence between modules and topics. The Study Guides allow teachers to obtain a firm grasp on what it is that students should master during the year. The Eureka Math Curriculum Study Guide, Grade 4 provides an overview of all of the Grade 4 modules, including Place Value, Rounding, and Algorithms for Addition and Subtraction; Unit Conversions and Problem Solving with Metric Measurement; Multi-Digit Multiplication and Division; Angle Measure and Plane Figures; Fraction Equivalence, Ordering, and Operations; Decimal Fractions; and Exploring Measurement with Multiplication. |
example of tape diagram: Eureka Math Grade 1 Study Guide Great Minds, 2015-09-18 Eureka Math is a comprehensive, content-rich PreK–12 curriculum that follows the focus and coherence of the Common Core State Standards in Mathematics (CCSSM) and carefully sequences the mathematical progressions into expertly crafted instructional modules. The companion Study Guides to Eureka Math gather the key components of the curriculum for each grade into a single location, unpacking the standards in detail so that both users and non-users of Eureka Math can benefit equally from the content presented. Each of the Eureka Math Curriculum Study Guides includes narratives that provide educators with an overview of what students should be learning throughout the year, information on alignment to the instructional shifts and the standards, design of curricular components, approaches to differentiated instruction, and descriptions of mathematical models. The Study Guides can serve as either a self-study professional development resource or as the basis for a deep group study of the standards for a particular grade. For teachers who are new to the classroom or the standards, the Study Guides introduce them not only to Eureka Math but also to the content of the grade level in a way they will find manageable and useful. Teachers familiar with the Eureka Math curriculum will also find this resource valuable as it allows for a meaningful study of the grade level content in a way that highlights the coherence between modules and topics. The Study Guides allow teachers to obtain a firm grasp on what it is that students should master during the year. The Eureka Math Curriculum Study Guide, Grade 1 provides an overview of all of the Grade 1 modules, including Sums and Differences to 10; Introduction to Place Value Through Addition and Subtraction Within 20; Ordering and Comparing Length Measurements as Numbers; Place Value, Comparison, Addition and Subtraction to 40; Identifying, Composing, and Partitioning Shapes; and Place Value, Comparison, Addition and Subtraction to 100. |
example of tape diagram: Basic Blueprint Reading Ric Costin, 2019 |
example of tape diagram: Eureka Math Grade 4 Study Guide Great Minds, 2015-11-09 Eureka Math is a comprehensive, content-rich PreK–12 curriculum that follows the focus and coherence of the Common Core State Standards in Mathematics (CCSSM) and carefully sequences the mathematical progressions into expertly crafted instructional modules. The companion Study Guides to Eureka Math gather the key components of the curriculum for each grade into a single location, unpacking the standards in detail so that both users and non-users of Eureka Math can benefit equally from the content presented. Each of the Eureka Math Curriculum Study Guides includes narratives that provide educators with an overview of what students should be learning throughout the year, information on alignment to the instructional shifts and the standards, design of curricular components, approaches to differentiated instruction, and descriptions of mathematical models. The Study Guides can serve as either a self-study professional development resource or as the basis for a deep group study of the standards for a particular grade. For teachers who are new to the classroom or the standards, the Study Guides introduce them not only to Eureka Math but also to the content of the grade level in a way they will find manageable and useful. Teachers familiar with the Eureka Math curriculum will also find this resource valuable as it allows for a meaningful study of the grade level content in a way that highlights the coherence between modules and topics. The Study Guides allow teachers to obtain a firm grasp on what it is that students should master during the year. The Eureka Math Curriculum Study Guide, Grade 4 provides an overview of all of the Grade 4 modules, including Place Value, Rounding, and Algorithms for Addition and Subtraction; Unit Conversions and Problem Solving with Metric Measurement; Multi-Digit Multiplication and Division; Angle Measure and Plane Figures; Fraction Equivalence, Ordering, and Operations; Decimal Fractions; and Exploring Measurement with Multiplication. |
example of tape diagram: Solving Word Problems Stan Vernooy, 1997-04 Word Problem Topics: Common Sense; Defining Quantities; Reducing the Number of Variables; Setting Up and Solving equations; Units of Measure; Diagrams; Trigonometry problems; and, Calculus Problems. |
example of tape diagram: New General Mathematics for Junior Secondary Schools Murray Macrae, A. O. Kalejaiye, Z. I. Chima, G. U. Gaba, M. O. Ademosu, 2008-06-03 This well-established series, the most popular in Nigeria, has been fully revised to reflect recent developments in mathematics education at junior secondary level and the views of the many users of the books. It has expecially been revised to fully cover the requirements of the new NERDC Universal Basic Education Curriculum. |
example of tape diagram: RtI in Math Linda Forbringer, Wendy Weber, 2021-05-20 Learn how to help K–8 students who struggle in math. Now in its second edition, this book provides a variety of clear, practical strategies that can be implemented right away to boost student achievement. Discover how to design lessons that work with struggling learners, implement math intervention recommendations from the Institute of Education Sciences Practice Guides, the National Center on Intensive Intervention, and CEC, use praise and self-motivation more effectively, develop number sense and computational fluency, teach whole numbers and fractions, increase students’ problem-solving abilities, and more! This edition features an all-new overview of effective instructional practices to support academic engagement and success, ideas for intensifying instruction within tiered interventions, and a detailed set of recommendations aligned to both CCSSM and CEC/CEEDAR’s High-Leverage Practices to help support students struggling to meet grade-level expectations. Extensive, current examples are provided for each strategy, as well as lesson plans, games, and resources. |
example of tape diagram: Elements of Tape Recorder Circuits Herman Burstein, Henry C. Pollak, 1957 |
example of tape diagram: Pedagogical Content Knowledge in STEM Stephen Miles Uzzo, Sherryl Browne Graves, Erin Shay, Marisa Harford, Robert Thompson, 2018-10-25 This volume represents both recent research in pedagogical content knowledge (PCK) in science, technology, engineering and math (STEM), as well as emerging innovations in how PCK is applied in practice. The notion of “research to practice” is critical to validating how effectively PCK works within the clinic and how it can be used to improve STEM learning. As the need for more effective educational approaches in STEM grows, the importance of developing, identifying, and validating effective practices and practitioner competencies are needed. This book covers a wide range of topics in PCK in different school levels (middle school, college teacher training, teacher professional development), and different environments (museums, rural). The contributors believe that vital to successful STEM education practice is recognition that STEM domains require both specialized domain knowledge as well as specialized pedagogical approaches. The authors of this work were chosen because of their extensive fieldwork in PCK research and practice, making this volume valuable to furthering how PCK is used to enlighten the understanding of learning, as well as providing practical instruction. This text helps STEM practitioners, researchers, and decision-makers further their interest in more effective STEM education practice, and raises new questions about STEM learning. |
example of tape diagram: Problem Solving 4 Today, Grade 4 Tyrrell, 2019-01-02 Problem Solving 4 Today: Daily Skill Practice for fourth grade contains reproducible activities designed to help students learn critical math word problem-solving skills with strategies such as interpreting remainders, restating the question, drawing a visual model, and more. The 4 Today series offers comprehensive, quick, and easy-to-use math workbooks. The reproducible activities review essential skills during a four-day period. On the fifth day, an assessment with related skills is provided. Each week begins with a Fluency Blast section to provide students with repeated, daily practice for essential skills. The format and style of the 4 Today books provide excellent practice for standardized tests. The series also includes a progress-tracking reproducible, a standards alignment chart, tips for fostering a school-to-home connection, and an answer key. |
example of tape diagram: The Math Pact, Elementary Karen S. Karp, Barbara J. Dougherty, Sarah B. Bush, 2020-09-19 A school-wide solution for students’ mathematics success! Do you sometimes start to teach a mathematics concept and feel like you’re staring at a sea of bewildered faces? What happens when you discover students previously learned a calculation trick or a mnemonic that has muddied their long-term understanding? When rules seem to change from year to year, teacher to teacher, or school to school, mathematics can seem like a disconnected mystery for students. Clear up the confusion with a Mathematics Whole-School Agreement! Expanded from the highly popular Rules that Expire series of NCTM articles, this essential guide leads educators through the collaborative step-by-step process of establishing a coherent and consistent learner-centered and equitable approach to mathematics instruction. Through this work, you will identify, streamline, and become passionate about using clear and consistent mathematical language, notations, representations, rules, and generalizations within and across classrooms and grades. Importantly, you’ll learn to avoid rules that expire—tricks that may seem to help students in one grade but hurt in the long run. Features of this book include · Abundant grade-specific examples · Effective working plans for sustainability · Barrier-busting tips, to-dos, and try-it-outs · Practical templates and checklists · PLC prompts and discussion points When teachers unite across grades, students hit the ground running every year. Take the next step together as a team and help all your students build on existing understanding to find new success and most importantly, love learning and doing mathematics! |
example of tape diagram: Elementary Mathematics for Teachers Thomas H. Parker, Scott Baldridge, 2004 Textbook on numbers, arithmetic, and prealgebra for elementary school mathematics teachers. Designed to be used with five Primary Mathematics books (textbooks 3A, 4A, 5A, 6A, and workbook 5A; all U.S. ed.), part of an elementary mathematics curriculum designed by Singapore's Ministry of Education and adapted for use in the U.S. |
example of tape diagram: Eureka Math Grade K Study Guide Great Minds, 2015-11-09 Eureka Math is a comprehensive, content-rich PreK–12 curriculum that follows the focus and coherence of the Common Core State Standards in Mathematics (CCSSM) and carefully sequences the mathematical progressions into expertly crafted instructional modules. The companion Study Guides to Eureka Math gather the key components of the curriculum for each grade into a single location, unpacking the standards in detail so that both users and non-users of Eureka Math can benefit equally from the content presented. Each of the Eureka Math Curriculum Study Guides includes narratives that provide educators with an overview of what students should be learning throughout the year, information on alignment to the instructional shifts and the standards, design of curricular components, approaches to differentiated instruction, and descriptions of mathematical models. The Study Guides can serve as either a self-study professional development resource or as the basis for a deep group study of the standards for a particular grade. For teachers who are new to the classroom or the standards, the Study Guides introduce them not only to Eureka Math but also to the content of the grade level in a way they will find manageable and useful. Teachers familiar with the Eureka Math curriculum will also find this resource valuable as it allows for a meaningful study of the grade level content in a way that highlights the coherence between modules and topics. The Study Guides allow teachers to obtain a firm grasp on what it is that students should master during the year. The Eureka Math Curriculum Study Guide, Grade K provides an overview of all of the Kindergarten modules, including Numbers to 10; Two-Dimensional and Three-Dimensional Shapes; Comparison of Length, Weight, Capacity, and Numbers to 10; Number Pairs, Addition and Subtraction to 10; Numbers 10–20 and Counting to 10; and Analyzing Comparing and Composing Shapes. |
example of tape diagram: Eureka Math Grade 5 Succeed Workbook #1 (Modules 1-2) Great Minds (Firm), 2021-03-15 Eureka helps students to truly understand math, connect it to the real world, and prepare them to solve problems they haven't encountered before. The team of teachers and mathematicians who created Eureka Math believe that it is not enough for students to know the process for solving a problem; they need to know why that process works. Eureka presents math as a story, one that develops from grades PK through 12. In A Story of Units, our elementary curriculum, this sequencing has joined with the methods of instruction that have been proven to work, in this nation and abroad. |
example of tape diagram: Building the Foundation: Whole Numbers in the Primary Grades Maria G. Bartolini Bussi, Xu Hua Sun, 2018-03-29 This twenty-third ICMI Study addresses for the first time mathematics teaching and learning in the primary school (and pre-school) setting, while also taking international perspectives, socio-cultural diversity and institutional constraints into account. One of the main challenges of designing the first ICMI primary school study of this kind is the complex nature of mathematics at the early level. Accordingly, a focus area that is central to the discussion was chosen, together with a number of related questions. The broad area of Whole Number Arithmetic (WNA), including operations and relations and arithmetic word problems, forms the core content of all primary mathematics curricula. The study of this core content area is often regarded as foundational for later mathematics learning. However, the principles and main goals of instruction on the foundational concepts and skills in WNA are far from universally agreed upon, and practice varies substantially from country to country. As such, this study presents a meta-level analysis and synthesis of what is currently known about WNA, providing a useful base from which to gauge gaps and shortcomings, as well as an opportunity to learn from the practices of different countries and contexts. |
example of tape diagram: Classroom-Ready Number Talks for Sixth, Seventh, and Eighth Grade Teachers Nancy Hughes, 2020-03-31 Make math class fun with this big book of number talk strategies designed to teach middle school students the mental math, problem-solving skills they need to meet common core standards and become successful mathematical thinkers. Bringing the exciting teaching method of number talks into your classroom has never been easier. Simply choose from the hundreds of great ideas in this book and get going, with no extra time wasted! From activities on multiplication and division to decimals and integers, Classroom-Ready Number Talks for Sixth, Seventh, and Eighth Grade Teachers includes: Grade-level specific strategies Number talk how-tos Visual and numerical examples Scaffolding suggestions Common core alignments Questions to build understanding Reduce time spent lesson planning and preparing materials and enjoy more time engaging your students in learning important math concepts! These ready-to-use number talks are sure to foster a fresh and exciting learning environment in your classroom. |
Tape Diagram Session Revised 6 hour CL - Louisiana …
What is a Tape Diagram? A drawing that looks like a segment of tape, used to illustrate number relationships. Also known as strip diagrams, bar model, fraction strip, or length model.
3.2 Using Tape Diagrams
USING A TAPE DIAGRAM You are given the number of tickets in a bag and the ratio of winning tickets to losing tickets. How many of each kind of ticket are in the bag?
Grades 2 and Up: Using Tape Diagrams to Solve Word Problems
Introduced in Grade 2 but useful for all grade levels through algebra, tape diagrams use rectangular shapes (similar to measuring tapes) to model numbers and the relationships …
Unit 6, Lesson 1: Tape Diagrams and Equations
Tape diagrams can help us understand relationships between quantities and how operations describe those relationships. Diagram A has 3 parts that add to 21. Each part is labeled with …
5.NF.3 Tape Diagrams: Division and Fractions - Primary Math …
Tape Diagrams: Division and Fractions Materials: - Counters - Recording sheet or math journal - Dry erase marker or pencil Directions: 1) Use a tape diagram to solve each division …
Microsoft Word - Tape Diagram HW.docx
Practice Solving Ratios Using Tape Diagrams Directions: Draw a tape diagram for each problem to help answer the question. Be sure to label what each represents. Example: Emily created a …
3.2 Using Tape Diagrams - Big Ideas Learning
You can use tape diagrams to represent ratios and solve ratio problems. Interpreting a Tape Diagram Th e tape diagram represents the ratio of blue monsters to green monsters you …
Using Tape Diagrams to Solve Ratio Problems
How many red pens are in the package? The ratio of red roses to pink roses in a bouquet is 4:1. If there are 12 red roses, how many pink roses are in the bouquet? Look for the ratio in the …
Tape Diagram Session Revised NEW ORLEANS PPT Notes
What is a Tape Diagram? A drawing that looks like a segment of tape, used to illustrate number relationships. Also known as strip diagrams, bar model, fraction strip, or length model. …
Strip Models, Tape Diagrams, Bar Models, Oh My!
A drawing that looks like a segment of tape, used to illustrate number relationships. Also known as a strip diagram, bar model, fraction strip, or length model.
Grade!2!Elementary!Mathematics!Unit!Plan! - The Lesson …
When using a tape diagram use addition to find the whole (total) and use subtraction to find a part. Tell your friend what you learned today (reflection). Write summary on board and have …
Student Task Statements (6.2.E.15) - staff.4j.lane.edu
Lesson 15 Summary A tape diagram is another way to represent a ratio. All the parts of the diagram that are the same size have the same value. For example, this tape diagram …
3.2 Using Tape Diagrams - Big Ideas Learning
DRAWING A TAPE DIAGRAM A bag contains red marbles and blue marbles. You are given the number of red marbles in the bag and the ratio of red marbles to blue marbles.
The Better Mouse Trap - SingaporeMathSource
What is a Tape Diagram? “A drawing that looks like a segment of tape, used to illustrate number relationships. Also known as a strip diagram, bar model, fraction strip, or length model.” Like …
Modeling with Tape Diagrams - Sites
Mathematics modeling: Tape diagrams Tape diagrams, also known as strip diagrams, bar models, fraction strips, or length models (CCSSI 2010), are linear representations that can be used to …
Unit 2 Ratio Lesson Summaries - staff.4j.lane.edu
Lesson 15 Summary A tape diagram is another way to represent a ratio. All the parts of the diagram that are the same size have the same value. For example, this tape diagram …
Using Tape Diagrams - Big Ideas Learning
You can use a visual model, called a tape diagram, to represent the relationship between two quantities in a ratio. Work with a partner. The tape diagram models the lengths of two …
CREATING A DIGITAL TAPE DIAGRAM
A Tape Diagram, which is “a drawing that looks like a segment of tape, used to illustrate number re-lationships” (p. 87), is a particular representation featured prominently in the Common Core …
Book 1.indb - Big Ideas Learning
EXAMPLE 1 Reading The tape diagram shows that the ratio of blue monsters to green monsters is 3 : 1. Interpreting a Tape Diagram Th e tape diagram represents the ratio of blue monsters …
Tape Diagram Session Revised 6 hour CL - Louisiana …
What is a Tape Diagram? A drawing that looks like a segment of tape, used to illustrate number relationships. Also known as strip diagrams, bar model, fraction strip, or length model.
3.2 Using Tape Diagrams
USING A TAPE DIAGRAM You are given the number of tickets in a bag and the ratio of winning tickets to losing tickets. How many of each kind of ticket are in the bag?
Grades 2 and Up: Using Tape Diagrams to Solve Word …
Introduced in Grade 2 but useful for all grade levels through algebra, tape diagrams use rectangular shapes (similar to measuring tapes) to model numbers and the relationships …
Unit 6, Lesson 1: Tape Diagrams and Equations
Tape diagrams can help us understand relationships between quantities and how operations describe those relationships. Diagram A has 3 parts that add to 21. Each part is labeled with …
5.NF.3 Tape Diagrams: Division and Fractions - Primary …
Tape Diagrams: Division and Fractions Materials: - Counters - Recording sheet or math journal - Dry erase marker or pencil Directions: 1) Use a tape diagram to solve each division …
Microsoft Word - Tape Diagram HW.docx
Practice Solving Ratios Using Tape Diagrams Directions: Draw a tape diagram for each problem to help answer the question. Be sure to label what each represents. Example: Emily created a …
3.2 Using Tape Diagrams - Big Ideas Learning
You can use tape diagrams to represent ratios and solve ratio problems. Interpreting a Tape Diagram Th e tape diagram represents the ratio of blue monsters to green monsters you …
Using Tape Diagrams to Solve Ratio Problems
How many red pens are in the package? The ratio of red roses to pink roses in a bouquet is 4:1. If there are 12 red roses, how many pink roses are in the bouquet? Look for the ratio in the …
Tape Diagram Session Revised NEW ORLEANS PPT Notes
What is a Tape Diagram? A drawing that looks like a segment of tape, used to illustrate number relationships. Also known as strip diagrams, bar model, fraction strip, or length model. …
Strip Models, Tape Diagrams, Bar Models, Oh My!
A drawing that looks like a segment of tape, used to illustrate number relationships. Also known as a strip diagram, bar model, fraction strip, or length model.
Grade!2!Elementary!Mathematics!Unit!Plan! - The Lesson …
When using a tape diagram use addition to find the whole (total) and use subtraction to find a part. Tell your friend what you learned today (reflection). Write summary on board and have …
Student Task Statements (6.2.E.15) - staff.4j.lane.edu
Lesson 15 Summary A tape diagram is another way to represent a ratio. All the parts of the diagram that are the same size have the same value. For example, this tape diagram …
3.2 Using Tape Diagrams - Big Ideas Learning
DRAWING A TAPE DIAGRAM A bag contains red marbles and blue marbles. You are given the number of red marbles in the bag and the ratio of red marbles to blue marbles.
The Better Mouse Trap - SingaporeMathSource
What is a Tape Diagram? “A drawing that looks like a segment of tape, used to illustrate number relationships. Also known as a strip diagram, bar model, fraction strip, or length model.” Like …
Modeling with Tape Diagrams - Sites
Mathematics modeling: Tape diagrams Tape diagrams, also known as strip diagrams, bar models, fraction strips, or length models (CCSSI 2010), are linear representations that can be used to …
Unit 2 Ratio Lesson Summaries - staff.4j.lane.edu
Lesson 15 Summary A tape diagram is another way to represent a ratio. All the parts of the diagram that are the same size have the same value. For example, this tape diagram …
Using Tape Diagrams - Big Ideas Learning
You can use a visual model, called a tape diagram, to represent the relationship between two quantities in a ratio. Work with a partner. The tape diagram models the lengths of two …
CREATING A DIGITAL TAPE DIAGRAM
A Tape Diagram, which is “a drawing that looks like a segment of tape, used to illustrate number re-lationships” (p. 87), is a particular representation featured prominently in the Common Core …
Book 1.indb - Big Ideas Learning
EXAMPLE 1 Reading The tape diagram shows that the ratio of blue monsters to green monsters is 3 : 1. Interpreting a Tape Diagram Th e tape diagram represents the ratio of blue monsters …