Math in Focus®: Singapore Math® by Marshall Cavendish®

Singapore Math Curriculum Grades K–8

Why?
Features K–5
Features 6–8
HMH Professional Services
  • Why?
    Mathematical Problem Solving

    Consistently High Student Achievement

    The Singapore Math® approach is the basis for top performance in international studies year after year by Singapore students. See the most recent international results for kids in Grades K–5 and 6–8.

    It’s a Model for the Common Core State Standards

    The Singapore Math® framework was one of the 15 national curricula examined by the Common Core committee and had a particularly important impact on the Common Core writers and contributors.

    Research-based Pedagogy

    Math in Focus offers you the same authentic Singapore Math® curriculum that has propelled Singapore students to international success. It follows the pedagogical framework developed by the Singapore Ministry of Education.

    Concrete–Pictorial–Abstract Learning Progression

    Numbers and symbols can be confusing when you don't have a grasp of what they actually mean. Singapore Math® teaches concepts using a concrete–pictorial–abstract learning progression to anchor learning in real-world, hands-on experiences.

    Pedagogy Fit for RtI

    Math in Focus adapts instruction to the needs of individual learners through scaffolding, the systematic sequencing of prompted content, and support to optimize learning. The ultimate goal of scaffolding is to gradually remove the supports as the learner masters the task.

    Integrated Technology for the 21st-Century Classroom

    Math in Focus provides seamless integration of technology with a range of online tools including Interactive Whiteboard activities, online manipulatives, and a Bar Modeling app. Math in Focus Digi+ ™ is an online curriculum for Grades 1–5 that is designed to complement the core materials of the Math in Focus program, using the same pedagogical principles of the Singapore Math® approach, combining multimedia technology with instructional strategies to offer an engaging teaching and learning experience!

    Math in Focus® and Marshall Cavendish® are registered trademarks of Times Publishing Limited. Singapore Math® is a trademark owned by Singapore Math Inc. and Marshall Cavendish Education Pts. Ltd.

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    • Common Core Standards
      Common Core

      The research base used to guide the development of the Common Core State Standards cited Singapore's pedagogy as one of their key research models. Singapore Math's® effective framework parallels the big ideas in the Common Core.

       

      Math in Focus® and Marshall Cavendish® are registered trademarks of Times Publishing Limited. Singapore Math® is a trademark owned by Singapore Math Inc. and Marshall Cavendish Education Pts. Ltd.

    • Correlations

      Common Core

      Correlation guides indicate where—and in many cases how—the Common Core Standards are addressed in the program. Download a PDF to see specifics at a particular level.

      Grade K (370 k) Grade 1 (1.5mb) Grade 2 (1.9 mb)
      Grade 3 (1.7 mb) Grade 4 (1 mb) Grade 5 (1 mb)
      Grade 6 (452 k) Grade 7 (448 k) Grade 8 (402 k)

      Math in Focus® and Marshall Cavendish® are registered trademarks of Times Publishing Limited. Singapore Math® is a trademark owned by Singapore Math Inc. and Marshall Cavendish Education Pts. Ltd.

    • Scope and Sequence

      Math in Focus® teaches math concepts to mastery by emphasizing the various facets of each concept, and then limiting repetition from year to year. This means that a great deal of attention is paid to the order in which math concepts are taught at each grade, and the time spent on each. The Math in Focus Scope and Sequence is the best way to prioritize your instruction of critical math concepts and help your students attain, then retain, the best understanding possible.

      Grades K–5 (4.6 MB)

      Grades 6–8 (646 k)

      Math in Focus® and Marshall Cavendish® are registered trademarks of Times Publishing Limited. Singapore Math® is a trademark owned by Singapore Math Inc. and Marshall Cavendish Education Pts. Ltd.

    • Authors

      Meet the Math in Focus®: Singapore Math® author team.

      Dr. Fong Ho Kheong - International Author

      Dr. Fong Ho Kheong (Dr. Fong) is a world-renowned Singapore Math academic, author, and educational consultant, and the Founder & CEO of BrainBuilder™.

      After obtaining his PhD specializing in math education from the University of London, King’s College, Dr Fong was an Associate Professor at the National Institute of Education (NIE), Nanyang Technological University, Singapore, where he trained mathematics teachers for 25 years and became the founding president of the Association of the Mathematics Educators, Singapore. After NIE, he joined the Education Testing Centre at the University of New South Wales, Australia, developing assessments in mathematics for global competitions. He served as the Head of the Maths and Science Department, in the Emirates College for Advanced Education in Abu Dhabi, the United Arab Emirates and Bahrain Teachers College, University of Bahrain in the Kingdom of Bahrain. Dr Fong has published more than 100 journal articles, research reports, primary and secondary math books, including My Pals Are Here! (Singapore) and Math in Focus®: Singapore Math® by Marshall Cavendish®.   

      Dr. Pamela Sharpe - International Author

      Dr. Pamela Sharpe, author of the Grade K program, has been involved in training teachers in both Singapore and the United Kingdom for 38 years and has also played a major role in setting up early childhood programs in Singapore. She was formerly an associate professor at the National Institute of Education, Nanyang Technological University, Singapore.

      She is currently a part-time lecturer there, as well as a consultant for the early childhood program and early childhood intervention programs. Dr. Sharpe specializes in teaching both high-ability children and children who have problems in mathematics at the preschool level. Her research includes studying the adjustment patterns of children in transition from preschool to primary school, as well as identifying and assessing preschool children with special needs. Dr. Sharpe has also been deeply involved in the development of the preschool mathematics curriculum in Singapore.

      Gan Kee Soon - International Author

      Gan Kee Soon has been an inspector of schools, a principal of a secondary school, and a lecturer at the National Institute of Education, Nanyang Technological University, Singapore, where, for 22 years, he trained and supervised primary mathematics teachers. He graduated from the University of Pittsburgh with an M.A. in elementary education in 1986. He also has a B.S. in mathematics and a diploma in education from the University of Malaya (Singapore).

      Chelvi Ramakrishnan - International Author

      Chelvi Ramakrishnan is currently a Lead Teacher in a primary school, and has taught for 35 years. She graduated with an MA in teaching and a BS in mathematics and has a Certificate of Education from NIE (National Institute of Education). She also has a diploma in the teaching of English as a second language from the Royal Society of Arts, a diploma in English studies, and a diploma in department management. Ramakrishnan has been writing primary mathematics books since 1997.

      Bernice Lau Pui Wah - International Author

      Bernice Lau Pui Wah is currently head of the Department of Mathematics in a primary school. She has taught in primary and secondary schools for 40 years. She graduated with a BS in mathematics and has a further professional diploma in education (Singapore) as well as an advanced certificate in education (Singapore). She has been writing primary mathematics books since 1997 and leads workshops on the use of problem-solving skills and heuristics.

      Michelle Choo - International Author

      Michelle Choo is a passionate mathematics educator who has taught for nearly 30 years. She graduated from the National Institute of Education (Nanyang Technological University) with a Masters of Education in Mathematics. Her research interests are pattern generalisation and justification. She has co-authored numerous mathematics educational series, including My Pals Are Here! (Singapore) and Math in Focus®: Singapore Math® by Marshall Cavendish®.  Choo has also shared her passion for mathematics in workshops and trainings for educators, parents, and students worldwide.

      Dr. Richard Bisk - U.S. Author

      Dr. Richard Bisk is a professor in the Mathematics Department at Worcester State College in Massachusetts. For more than 30 years, he has taught a wide array of mathematics courses and has focused on improving teachers' mathematical understanding. He has provided professional development using Singapore math materials since 2000.

      Andy Clark - U.S. Author

      Andy Clark is a former elementary and junior high school teacher. He is a Title I specialist and coordinator of professional development in mathematics in Portland, Oregon. He was also the math coordinator for Portland Public Schools. The workshops Clark conducts around the country promote his belief that everyone can learn, enjoy, and use mathematics and that dedicated teachers are the strength of American schools. Clark is coauthor of Every Day Counts®: Calendar Math, Algebra Readiness, and Partner Games and Summer Success®: Math.

      Patsy F. Kanter - U.S. Author

      Patsy F. Kanter is an author, teacher, and math consultant. She balances her life between traveling, teaching, and writing. Until 1997, Kanter was the lower school math coordinator and assistant principal at Isidore Newman School in New Orleans, Louisiana for 13 years. There she developed and implemented a hands-on, activity-based math program.

      Kanter is the senior author of Afterschool Achievers: Math Club, and Summer Success: Math, and is co-author of Every Day Counts®: Calendar Math, Every Day Counts®: Partner Games, Every Day Counts®: Practice Counts, Math Every Day, and Math Central. She is also the author of Easy Math Centers, published by Scholastic Professional Division, and the U.S. Department of Education's Helping Your Child Learn Math.

      Math in Focus® and Marshall Cavendish® are registered trademarks of Times Publishing Limited. Singapore Math® is a trademark owned by Singapore Math Inc. and Marshall Cavendish Education Pts. Ltd.

    • Research and Efficacy

      The principals that underlay the Singapore Math® approach are drawn from a solid base of foundational research that has identified effective approaches to mathematics teaching, and the results are undeniable. Peruse the documents, studies, and reports below for a closer look at the program behind the success.

      Research and Efficacy

      Math in Focus Randomized Control Trial—Final Report (2012)

      This gold standard study revealed that elementary students using Math in Focus witnessed increased math problem solving skills versus a randomized control group.

      Math in Focus Comparative Impact Study (2013)

      Summarizes the comparative growth in student achievement among Math in Focus students relative to control students during the 2011–2012 school year.

      History of Singapore Math®

      Singapore has been a top performer on the TIMSS international assessment for the past 15 years. That hasn't always been the case, however.

      History of Singapore Math®

      Problem Solving in Singapore Math®

      A key factor to Singapore's mathematics success is how they approach problem solving. Students learn to understand the "how" and the "why" so they can tackle both routine and non-routine problems.

      Problem Solving in Singapore Math®

      Model Drawing in Singapore Math®

      A distinguishing characteristic of the math taught in Singapore is the use of "model drawing." Model drawing, often called "bar modeling" in the U.S., is a systematic method of representing word problems and number relationships.

      Model Drawing in Singapore Math®

      The Underpinning Concept in Math in Focus

      Math in Focus® is adapted from Singapore's My Pals Are Here! Maths. The underpinning philosophy of both series is the same, and their goal is to ensure children's ability to achieve mastery of mathematics concepts, computational skills, problem-solving skills, and application of mathematics to daily life activities.

      The Underpinning Concept in Math in Focus

      Math in Focus® and Marshall Cavendish® are registered trademarks of Times Publishing Limited. Singapore Math® is a trademark owned by Singapore Math Inc. and Marshall Cavendish Education Pts. Ltd.

    • Customer Testimony

      Math in Focus: See what customers are saying

      Watch this video testimony to learn how Math in Focus® is motivating students and changing math classrooms at St. Stephens & St. Agnes School in Arlington, Virginia.

      Math in Focus® and Marshall Cavendish® are registered trademarks of Times Publishing Limited. Singapore Math® is a trademark owned by Singapore Math Inc. and Marshall Cavendish Education Pte. Ltd.

    • Implementation Resources

      The goal of a great math program is to provide world-class curriculum resources and teacher training to ensure outstanding results. The Singapore Math® curriculum has shown excellent results in the United States and was a key model for the Common Core State Standards. With Math in Focus®, educators can confidently choose a program that builds teacher capacity and delivers student results.

      Math in Focus® and Marshall Cavendish® are registered trademarks of Times Publishing Limited. Singapore Math® is a trademark owned by Singapore Math Inc. and Marshall Cavendish Education Pts. Ltd.

    • Virtual Sampling

      Sample Math in Focus® Now

      Your students deserve a world-class curriculum and we invite you to explore that curriculum through our virtual sampling. Virtual Sampling is the faster, easier way to explore the program online. With Virtual Sampling, you will have the entire program at your fingertips. You can turn the pages, thumb forward or backward, and search for keywords. Every page of every lesson is available on screen.

      Sample Now

      We are also proud to offer a 120-day online preview for educators to explore our digital offerings. Please contact your Account Executive for access information.

       

      Math in Focus® and Marshall Cavendish® are registered trademarks of Times Publishing Limited. Singapore Math® is a trademark owned by Singapore Math Inc. and Marshall Cavendish Education Pts. Ltd.

  • Features K–5

    Math in Focus®: Singapore Math® by Marshall Cavendish® Grades K–5 embodies the best practices that have propelled Singapore students to the top of international comparison studies. With comprehensive support for the Common Core State Standards, Math in Focus provides world-class mathematics instruction that meets the specific needs of U.S. students.

    Core Components

    Core Components

    Learn about the components and resources to support you and your students with Math in Focus.

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    Differentiated Instruction

    Differentiated Instruction

    Learn how scaffolding and individualizing instruction can lead every type of learner to math mastery.

    Explore More

     
    Technology

    Integrated Technology

    Check out the many 21st-century technology tools available for your Math in Focus® classroom.

    Explore More

     
    Manipulatives

    Classroom Manipulatives

    Manipulatives play an important role in the Math in Focus® curriculum, as they facilitate the concrete–pictorial–abstract learning progression.

    Explore More

     

    Math in Focus® Digi+™

    Math in Focus® Digi+™ combines multimedia technology with instruction strategies to offer an engaging teaching and learning experience.

    Explore More

     

    Math in Focus®, Math in Focus® Digi+™, and Marshall Cavendish® are trademarks or registered trademarks of Times Publishing Limited. Singapore Math® is a trademark owned by Singapore Math Inc. and Marshall Cavendish Education Pte. Ltd.

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    • Exceptional Results

      Why Singapore Math®? Because it works.

      Singapore students consistently demonstrate exceptional math achievement on international studies. The way they teach and learn math in Singapore is a key factor to their success. U.S. students have the opportunity to benefit from the same approach with Math in Focus®: Singapore Math® by Marshall Cavendish®, the U.S. edition of Singapore’s most widely used elementary and middle school programs.

      Trends in International Math and Science Study (TIMSS)

      Since the Trends in International Math and Science Study (TIMSS) began in 1995, Singapore has consistently ranked at the top. The tables at right show the top 15 countries from 2015, with Singapore ranked 1st and outperforming the U.S. at both grade levels.

      TIMSS Grade 4

      OECD Programme for International Student Assessment (PISA)

      Singapore participated in the PISA study, which assesses 15-year-olds in industrialized countries. In 2015, Singapore not only ranked 1st, but also scored significantly above the international average of 490 with a score of 564, while the U.S. scored below the average with a score of 470.

      PISA Scale

      *timss2015.org/timss-2015/mathematics/student-achievement
      **oecd.org/pisa/pisa-2015-results-in-focus.pdf
      Math in Focus® and Marshall Cavendish® are registered trademarks of Times Publishing Limited. Singapore Math® is a trademark owned by Singapore Math Inc. and Marshall Cavendish Education Pts. Ltd.

    • Core Components

      Teacher's Editions A and B

      Common Core Teacher's Editions contain complete program support, including Chapter Overviews with Common Core correlations and Standards for Mathematical Practice discussion questions.

      Student Books A and B

      The Student Books focus on learning, classroom teaching, and discussion.

      Student Workbooks A and B

      Student Workbooks are designed to work together with the Student Books. The Workbook problems are assigned for individual work.

      Assessments

      Diagnostic chapter pretests help teachers plan instruction. Chapter tests in test-prep format provide formal assessment opportunities. Benchmark, Mid-Year, and End-of-Year Assessments provide further measures of students' mastery of concepts.

      Math in Focus® and Marshall Cavendish® are registered trademarks of Times Publishing Limited. Singapore Math® is a trademark owned by Singapore Math Inc. and Marshall Cavendish Education Pte. Ltd.

    • Differentiated Instruction

      Support all learners with easy-to-use differentiation resources.

      A Pedagogy Fit for RtI

      Highly Scaffolded Curriculum

      Math in Focus® adapts instruction to the needs of individual learners through scaffolding, the systematic sequencing of prompted content and support to optimize learning. The ultimate goal of scaffolding is to gradually remove the supports as the learner masters the task.

      Math in Focus uses this approach to introduce new concepts and increasingly difficult problems. Scaffolding is apparent in the concrete–pictorial–abstract approach that appears throughout the program and in the sequencing of the word problems that go from one step to two step to multistep. Teachers can easily individualize instruction to meet RtI Tiers 1, 2, and 3.

      Scaffolded Curriculum
      Visual Representations

      Math in Focus uses the bar modeling method as a problem-solving tool that is taught explicitly beginning in Grade 2. Students become familiar with this systematic way to translate complex word problems into mathematical equations and avoid the common issue of not knowing where to start. Word problems grow in complexity from one step to two step to multistep, which enhances students' ability to think critically in a systematic process.

      Factoring Algebraic Expressions
      Differentiation Resources

      Extra Practice and Reteach opportunities are provided for every lesson. These can be implemented on a whole-class basis for RtI Tier 1, on a small-group basis for Tier 2, or in individual settings for Tier 3 modifications. Math in Focus Teacher's Editions provide tips for helping struggling students at point of use and reference additional Reteach and Extra Practice pages for additional support.

      Differentiated Instruction

      Transition Guide

      Transition Guide (Grades 2–5) provides a map to help transition students into the Math in Focus program. Teachers can easily scan through the skills and concepts presented in prior years to identify background knowledge necessary for student success.

      Transition Guide

      English Language Learners

      The concrete–pictorial–abstract approach is well-suited for English language learners since it is less text-heavy and has more illustrations and visuals. The Teacher's Edition provides lesson-specific suggestions for facilitating instruction for English language learners. The complete program is also available in Spanish.

      English for Language Learners

      Reteach (Struggling Students)

      Reteach provides more exposure to concepts for those students who need more time to master new skills or concepts.

      Differentiation Resources

      Extra Practice (On-Level Students)

      Extra Practice pages correlate directly to the Workbook practices. Put On Your Thinking Cap! questions provide more practice on both non-routine and strategy-based questions.

      Critical Thinking Skills

      Enrichment (Advanced Students)

      Enrichment exercises of varying complexity provide advanced students opportunities to extend learning.

      Brain at Work

      Math in Focus® and Marshall Cavendish® are registered trademarks of Times Publishing Limited. Singapore Math® is a trademark owned by Singapore Math Inc. and Marshall Cavendish Education Pte. Ltd.

    • Math in Focus Digi+

      Math in Focus® Digi+™ is your one-stop resource for interactive teaching and learning tools!  It is an online curriculum designed to complement the core materials of the Math in Focus program. Math in Focus® Digi+™ combines multimedia technology with instructional strategies to offer an engaging teaching and learning experience for Grades 1–5.

      Key Features

      • Each Math in Focus® Digi+™ lesson contains seven components, which are aligned to every part of the Math in Focus® lessons.
      • Math in Focus® Digi+™ contains thousands of multimedia resources for student mastery at all ability levels.
      • Intervention tests are available for struggling students and Enrichment Practices challenge students with non-routine problems.
      • Several forms of practice are available including Assisted, Benchmark, Reteach, and Extra Practice which can be printed out or assigned as online homework.
      • Automatic grading saves time and keeps track of student progress.
      • Math in Focus® Digi+™ provides an intervention solution that allows teachers to easily identify struggling students and assign lessons generated based on student results.
      • Pretests and posttests allow teachers to gauge student understanding and then the appropriate remediation and additional problems can be assigned to help students meet basic requirements without impacting class time.
      • Built-in interactive whiteboard features let teachers write notes and highlight important parts of the lesson.

      Math in Focus Digi

      Online Resources Preview

      We invite you to request and register for 60-day access to a Math in Focus® Digi+™ demo account.

      Please contact your Houghton Mifflin Harcourt Account Executive for more information on how to order, pilot, or receive sample materials.

      Pilot Opportunity

      Are you a current Math in Focus user who is interested in trying a NEW Formative and Summative digital assessment tool? Math On is a high-quality, Internet-based set of customizable assessments aligned to CCSS for Grades 3–5. Teachers can use the almost 2000 questions in Math On to enhance their students' conceptual understanding, and to prepare them for the rigorous and technologically enhanced questions found on state and national tests. HMH is seeking current Math in Focus users to participate in a paid pilot of this new assessment tool. For just $5 per student and $10 per teacher, you can use the power of Math On for 6 months or until June 1st (whichever comes first) to boost your students' performance. Explore the key features that Math On has to offer, demo the product for 14 days, or sign up for the pilot.

      Math in Focus®, Math in Focus® Digi+™, and Marshall Cavendish® are trademarks or registered trademarks of Times Publishing Limited. Singapore Math® is a trademark owned by Singapore Math Inc. and Marshall Cavendish Education Pte. Ltd.

    • Integrated Technology

      Check out the many 21st-century technology tools available for your Math in Focus® classroom.

       

      Math in Focus® Digi+™

      MIF Digi+ Lessons

      Math in Focus® Digi+™ is an online curriculum designed to complement the core materials of the Math in Focus program, using the same pedagogical principles of the Singapore Math® approach. Math in Focus® Digi+™ combines multimedia technology with instructional strategies to offer an engaging teaching and learning experience.

      Online Virtual Manipulatives

      Students can interact with the Math in Focus manipulatives online, at school, and at home. Includes Singapore Math® place value, number bonds, and bar modeling tools.

      Online Virtual Manipulatives
       

      Online Student Interactivities (Grades 1–6)

      Bring Singapore Math® to life with fun, interactive online tutorials, activities, and quizzes—a great way to differentiate instruction and to practice at home!

      Two-step Story Sums
       

      Interactive Whiteboard Lessons

      Whether you are using a SMART Board®, Promethean®, or another type of interactive whiteboard device, Holt McDougal Mathemathics Interactive Whiteboard Lessons are compatible and easy to use. Simply make sure you have ActivInspire® on your computer before downloading. ActivInspire can be downloaded for free online.

      Number Bonds

      Download a Sample

      Grade 1 (1.39 MB) Grade 2 (1.29 MB) Grade 3 (2.99 MB)
      Grade 4 (1.5 MB) Grade 5 (1.89 MB)  

      Singapore Math®, Bar Models App for iPad® (Grades 2–5)

      Allow your child to visualize even the most complex math word problems with Singapore Math®, Bar Models. This activity uses the signature Singapore Math® method for problem solving and teaches children in Grades 2–5 how to visually represent word problems in a fun and interactive way.

      The problems align closely with the Math in Focus curriculum, available exclusively in the United States from Houghton Mifflin Harcourt™. Give your child the advantage they need for success in math with this educational iPad app.

      Sample Now

      Singapore Math Bar Models Grade 2Singapore Math Bar Models Grade 3Singapore Math Bar Models Grade 4Singapore Math Bar Models Grade 5
       

      Ready to Buy the Full Version?

      Educators

      Contact your local Houghton Mifflin Harcourt Account Executive or call customer service at 800.225.5425.

      Parents

      Visit the App Store℠ to purchase the full version today!

      appStore Badge
       

      ExamView® Assessment Generator

      Create unlimited online customized tests and practice sets for students. Features robust test banks, including problems to address the Common Core State Standards.

      Grade 1 (1.32 MB)

      Math in Focus®, Math in Focus® Digi+™, and Marshall Cavendish® are trademarks or registered trademarks of Times Publishing Limited. Singapore Math® is a trademark owned by Singapore Math Inc. and Marshall Cavendish Education Pte. Ltd. SMART Board® is a registered trademark of SMART Technologies ULC in the U.S. and/or other countries. ActivInspire® and Promethian® are registered trademarks of Promethean Limited. Apple, the Apple logo, and iPad are trademarks of Apple Inc., registered in the U.S. and other countries. App store is a service mark of Apple Inc. ExamView® is a registered trademark of Turning Technologies, LLC.

    • Classroom Manipulatives

      Manipulatives play an important role in the Math in Focus® curriculum, as they facilitate the concrete–pictorial–abstract learning progression. Kits are offered in three different configurations to meet the needs of your classrooms.

      30-Student Manipulative Kits, K–5

      Comprehensive kits provide everything a K–5 classroom would need to implement the Math in Focus program.

      Core Classroom Manipulative Kits

      Designed to accommodate approximately 10–12 students, these kits are ideal for classrooms that have a solid base of manipulatives and need additional items to supplement lessons.

      Individual Student Manipulative Kits

      Designed for individual student use and packaged in a mesh bag for easy storage and organization, the contents of the individual student kits provide the concrete materials used in Math in Focus. They include the key manipulatives for understanding place value, number and operations, mental math, and number sense.

      30–Student Manipulative Kit

      Math in Focus® and Marshall Cavendish® are registered trademarks of Times Publishing Limited. Singapore Math® is a trademark owned by Singapore Math Inc. and Marshall Cavendish Education Pte. Ltd. ManipuLite® is a registered trademark of A. Daigger and Company, Inc.

    • Classroom Videos

      Math in Focus® addresses fewer topics in greater detail at each grade level. Knowledge is built carefully and thoroughly with both multi-page and multi-day lessons. Time is built into the program to develop understanding through hands-on activities with manipulatives as well as extensive skills practice. Students learn, experience, and discuss a concept fully to mastery.

      Math in Focus® and Marshall Cavendish® are registered trademarks of Times Publishing Limited. Singapore Math® is a trademark owned by Singapore Math Inc. and Marshall Cavendish Education Pte. Ltd.

    • Apps
      Apps

      Apps

      Our enrichment apps meet the demands of this digital generation of learners. Designed to address the foundational skills of their subject, these apps support any program used in the classroom.

      appStore Badge

      Math in Focus® and Marshall Cavendish® are registered trademarks of Times Publishing Limited. Singapore Math® is a trademark owned by Singapore Math Inc. and Marshall Cavendish Education Pte. Ltd. Apple, the Apple logo are trademarks of Apple Inc., registered in the U.S. and other countries. App store is a service mark of Apple Inc.

    • Available Digital Formats
      eTextbooks

      HMH eTextbooks

      eTextbooks include all of the content from the print Student Edition. Available for all major devices, additional functionality may include zoom & resize, scroll, text and keyword web search, bookmark, and notes.

      Math in Focus® and Marshall Cavendish® are registered trademarks of Times Publishing Limited. Singapore Math® is a trademark owned by Singapore Math Inc. and Marshall Cavendish Education Pte. Ltd.

  • Features 6–8

    Math in Focus®: Singapore Math® by Marshall Cavendish® Courses 1–3 for Grades 6–8 have a key differentiator from other Middle School Math programs: its focus on attitudes and metacognition. In order for students to excel, they must develop positive attitudes about math, have the confidence to persevere, and develop the ability to monitor their own thinking. This sets the stage for international achievement.

    Core Components

    Core Components

    Explore the components and resources to support you and your students with Math in Focus.

    Explore More

     
    Differentiated Instruction

    Differentiated Instruction

    Learn how scaffolding and individualizing instruction can lead every type of learner to math mastery.

    Explore More

     
    Integrated Technology

    Integrated Technology

    Check out the many 21st-century technology tools available for your Math in Focus® classroom.

    Explore More

     
     

    Math in Focus® and Marshall Cavendish® are registered trademarks of Times Publishing Limited. Singapore Math® is a trademark owned by Singapore Math Inc. and Marshall Cavendish Education Pts. Ltd.

    Explore More

    • Exceptional Results

      Why Singapore Math®? Because it works.

      Singapore students consistently demonstrate exceptional math achievement on international studies. The way they teach and learn math in Singapore is a key factor to their success. U.S. students have the opportunity to benefit from the same approach with Math in Focus®: Singapore Math® by Marshall Cavendish®, the U.S. edition of Singapore’s most widely used elementary and middle school programs.

      Trends in International Math and Science Study (TIMSS)

      Since the Trends in International Math and Science Study (TIMSS) began in 1995, Singapore has consistently ranked at the top. The tables at right show the top 15 countries from 2015, with Singapore ranked 1st and outperforming the U.S. at both grade levels.

      TIMSS Grade 8

      OECD Programme for International Student Assessment (PISA)

      Singapore participated in the PISA study, which assesses 15-year-olds in industrialized countries. In 2015, Singapore not only ranked 1st, but also scored significantly above the international average of 490 with a score of 564, while the U.S. scored below the average with a score of 470.

      PISA Scale

      *timss2015.org/timss-2015/mathematics/student-achievement
      **oecd.org/pisa/pisa-2015-results-in-focus.pdf
      Math in Focus® and Marshall Cavendish® are registered trademarks of Times Publishing Limited. Singapore Math® is a trademark owned by Singapore Math Inc. and Marshall Cavendish Education Pts. Ltd.

    • A Results-driven Framework for Student Achievement

      Build Confidence in Problem Solving

      Math in Focus® is based on the framework developed by the Singapore Ministry of Education. It draws on best practices from around the world and highlights problem solving as the focus of mathematical learning.

      A key differentiator for Singapore Math® is its focus on attitudes and metacognition. In order for students to excel, they must develop positive attitudes about math, have the confidence to persevere, and develop the ability to monitor their own thinking. This sets the stage for international achievement.

      Pentagon Framework

      Singapore Mathematics Framework

      Singapore Math® is built around a framework of 5 key areas for problem solving:

      • Attitudes: beliefs, interest, appreciation, confidence, and perseverance
      • Metacognition: monitoring of one’s own thinking, self-regulation of learning
      • Processes: reasoning, communication, and connections; thinking skills and heuristics; applications and modeling
      • Skills: numerical calculation, algebraic manipulation, spatial visualization, data analysis, measurement, use of mathematical tools, and estimation
      • Concepts: numerical, algebraic, geometrical, statistical, probabilistic, and analytical
      Visualization

      Build Understanding with Visual Learning

      The key to becoming a successful problem solver is the ability to visualize mathematical situations. Math in Focus teaches concepts with consistent and effective visuals that lead to deeper understanding of symbolic representation.

      Students build understanding of new concepts through visualization and pictorial representations like number lines and bar models.

      Representation

      Students move on to symbolic representations when they have enough context to understand what they mean.

       

      Math in Focus® and Marshall Cavendish® are registered trademarks of Times Publishing Limited. Singapore Math® is a trademark owned by Singapore Math Inc. and Marshall Cavendish Education Pts. Ltd.

    • Common Core

      A Model for the Common Core State Standards

      The Common Core State Standards committee looked to high-performing nations like Singapore as a model for the new U.S. standards. The Common Core calls for a new level of rigor, depth, and coherence that will allow our students to compete globally on mathematics assessments and in their future careers. Math in Focus®: Singapore Math® by Marshall Cavendish® is your answer to achieving these goals.

      According to Achieve, an independent, nonprofit educational foundation:

      Overall, the Common Core State Standards (CCSS) are well aligned to Singapore’s Mathematics Syllabus. Policymakers can be assured that in adopting the CCSS, they will be setting learning expectations for students that are similar to those set by Singapore in terms of rigor, coherence and focus.
      Achieve* (achieve.org/CCSSandSingapore)

      Math in Focus Supports the Big Ideas in the Common Core

      Common Core Seal

      Teach Less, but Learn More

      Through multi-day lessons and minimal repetition from year to year, Math in Focus students learn concepts in depth to mastery.

      Balance Conceptual Understanding and Procedural Fluency

      An emphasis on visual learning ensures that students understand how procedures work and can apply them in problem-solving situations.

      Focus on Ratio, Geometry, Number, Statistics, and Expressions

      Math in Focus aligns to the Common Core Domains to prepare students for algebra and higher-level mathematics.

      Everything You Need to Promote Mastery of the Common Core

      Core Components

      Student Books focus on classroom learning, discussion, practice, and problem solving.

      Corresponding Teacher’s Editions provide support and teaching suggestions.

      Core Components

      Assessments

      Diagnostic chapter pretests help teachers plan instruction. Chapter tests in test-prep format provide formal assessment opportunities. Benchmark, Mid-Year, and End-of-Year assessments provide further measures of students’ mastery.

      Online Support

      Family Letters and Activities include newsletters in English and Spanish that promote family involvement with chapter vocabulary and concepts.

      Laptop Family PDF
       

      Math in Focus® and Marshall Cavendish® are registered trademarks of Times Publishing Limited. Singapore Math® is a trademark owned by Singapore Math Inc. and Marshall Cavendish Education Pts. Ltd.

    • Tables of Contents
      MIF Course 1 Cover

      Course 1

      Chapter 1: Positive Numbers and the Number Line

      Chapter 2: Negative Numbers and the Number Line

      Chapter 3: Multiplying and Dividing Fractions and Decimals

      Chapter 4: Ratio

      Chapter 5: Rates

      Chapter 6: Percent

      Chapter 7: Algebraic Expressions

      Chapter 8: Equations and Inequalities

      Chapter 9: The Coordinate Plane

      Chapter 10: Area of Polygons

      Chapter 11: Circumference and Area of a Circle

      Chapter 12: Surface Area and Volume of Solids

      Chapter 13: Introduction to Statistics

      Chapter 14: Measures of Central Tendency

      MIF Course 2 Cover

      Course 2

      Chapter 1: The Real Number System

      Chapter 2: Rational Number Operations

      Chapter 3: Algebraic Expressions

      Chapter 4: Algebraic Equations and Inequalities

      Chapter 5: Direct and Inverse Proportion

      Chapter 6: Angle Properties and Straight Lines

      Chapter 7: Geometric Construction

      Chapter 8: Volume and Surface Area of Solids

      Chapter 9: Statistics

      Chapter 10: Probability

      MIF Course 3 Cover

      Course 3

      Chapter 1: Exponents

      Chapter 2: Scientific Notation

      Chapter 3: Algebraic Linear Equations

      Chapter 4: Lines and Linear Equations

      Chapter 5: Systems of Linear Equations

      Chapter 6: Functions

      Chapter 7: The Pythagorean Theorem

      Chapter 8: Geometric Transformations

      Chapter 9: Congruence and Similarity

      Chapter 10: Statistics

      Chapter 11: Probability

      Math in Focus® and Marshall Cavendish® are registered trademarks of Times Publishing Limited. Singapore Math® is a trademark owned by Singapore Math Inc. and Marshall Cavendish Education Pts. Ltd.

    • Differentation Resources

      English Language Learners

      The simple language, clear drawings, and visual aspect of Math in Focus® means the entire program is inherently accessible to English language learners. Additionally, the Teacher’s Edition provides lesson-specific suggestions for facilitating instruction for English language learners.

      English Language Learners

      For Struggling Learners

      Reteach provides more exposure to concepts for those students who need more time to master new skills or concepts. Additionally, the Teacher’s Edition provides tips for helping struggling students at point of use.

      For Struggling Readers

      For On-Level Students

      Extra Practice provides more practice to on-level students and are similar to the Practice exercises in the Student Books.

      For On-level Readers

      Activity Book contains projects and activities to deepen students’ mathematical experiences.

      For On-level Readers 2

      For Advanced Students

      Enrichment provides exercises for advanced students seeking challenge beyond exercises in the student books.

      For Advanced Students
       

      Math in Focus® and Marshall Cavendish® are registered trademarks of Times Publishing Limited. Singapore Math® is a trademark owned by Singapore Math Inc. and Marshall Cavendish Education Pts. Ltd.

    • 21st Century Technology

      Online Teacher’s Edition

      The online Math in Focus® Teacher’s Edition provides online planning and lesson support. Teachers can log on anytime from any computer with an internet connection.

      Online Teacher Edition

      Online Student Book

      The online Math in Focus Student Book provides students access to their Student Book at school or from home.

      Online Student Handbook Exam View

      ExamView® Test and Practice Generator CD-ROM

      Create unlimited online customized tests and practice sets for students. Choose from multiple-choice, short-response, and extended-response test items correlated to the Common Core State Standards.

      Teacher One Stop™ CD-ROM

      Complete printable PDFs on a CD-ROM for ease of use and daily lesson planning.

      Teacher One-Stop RTi Logo

      Online Transition Resource Map

      Designed to be used in conjunction with the print Transition Guide, this online intervention and transition resource makes it easy to locate and print previous grade-level Reteach and Extra Practice worksheets to address transition-related knowledge and skill gaps.

      Whiteboard

      Interactive Whiteboard Lessons

      Specially designed interactive whiteboard lessons give you a digital option for teaching every lesson of the program.

      Course 1 (Gr 6), Ch 1, Lesson 1: The Number Line (4.7MB)

      Online Videos

      Online Videos and Podcasts for Teachers and Parents

      Teachers can access math background videos and author podcasts to prepare for lessons. Parents can learn more about Singapore Math® and how to help their children succeed.

      eLearning Website

      Access to the eLearning Website

      The Math in Focus eLearning website is a resource for teachers and parents. The website contains detailed information about Math in Focus and Singapore Math®, including overview presentations and implementation support. Visit hmhelearning.com to preview.

       

      Math in Focus® and Marshall Cavendish® are registered trademarks of Times Publishing Limited. Singapore Math® is a trademark owned by Singapore Math Inc. and Marshall Cavendish Education Pts. Ltd. ExamView® is a registered trademark of Turning Technologies, LLC. Teacher One Stop™ is a trademark of Houghton Mifflin Harcourt.

    • Courses 1-3 Manipulative Kit
      Manipulatives

      The following materials are included in the Math in Focus® Classroom Manipulative Kit for Courses 1–3 and can accommodate classrooms of up to 30 students.

      Manipulatives

      Quanity
      Algebra Tiles Student Set Set of 32 pieces includes 4 squared variables, 8 variables, and 20 constants 16 sets
      Compasses 30
      Set Squares (Drawing Triangles) 30
      Protractors 30
      Unit Cubes Colorful, interlocking cubes make it easy to measure volume, mass, length, and more. Each cube measures 1 cm3 and has a mass of 1 gram. 500
      Counters 2-color (200 per set) 4 sets
      Blank Dice and Labels (Set of 36) 1 set
      Rainbow Fraction® Circles (Set of 51) 30 sets
       

      Math in Focus® and Marshall Cavendish® are registered trademarks of Times Publishing Limited. Singapore Math® is a trademark owned by Singapore Math Inc. and Marshall Cavendish Education Pts. Ltd. Rainbow Fraction® is a registered trademark of Learning Resources, Inc.

    • Teacher Support

      Teacher’s Editions with built-in support let you spend more time teaching and less time planning.

      • Pacing guides indicate how to spread instruction across multiple days.
      • 5-minute Warm Ups get students ready for the lesson.
      • Technology resources enhance instruction and aid in planning.
      • Differentiated Instruction and ELL Vocabulary Highlights help you reach all students.
      • Best practices provide tips and opportunities to incorporate manipulatives into instruction.

      Easy Planning

      Chapter at a Glance in the Teacher’s Edition makes it easy to prepare for lessons.

      Easy Planning
      • Multi-day lessons allow enough time for students to reach mastery.
      • Point-of-use Common Core correlations.
      • A skills trace highlights previous and future connections.
      • Planning ways to emphasize the Common Core Mathematical Practices is easy.

      Math Background in the Teacher’s Edition provides embedded professional development. Before each chapter, refresh your knowledge of math concepts and Singapore Math® strategies with Math Background.

      Easy Planning

      A Seamless Transition to Math in Focus®

      Transition Guide and Online Transition Map are intervention resources for students whose knowledge of prerequisite skills and concepts is weak.

      Fill prerequisite knowledge and skill gaps for a seamless transition to Singapore Math®. The Transition Guide provides math background information for teachers that address key concepts from a Singapore Math® perspective. Teaching strategies and student skill worksheets are also provided to fill student prerequisite knowledge gaps.

      The Online Transition Resource Map also maps pretest assessment questions to previous grade-level content for easy access to transition support.

      Transition Map
       

      Math in Focus® and Marshall Cavendish® are registered trademarks of Times Publishing Limited. Singapore Math® is a trademark owned by Singapore Math Inc. and Marshall Cavendish Education Pts. Ltd.

    • Mastery Learning

      Highly Visual Lessons Connected to Read-World Applications Support Students in Mastering the Common Core State Standards

      • Each chapter opens with an example of a real-world application of the concept being learned.
      • Big Ideas help students focus on key concepts.
      • Students learn to visualize concepts using consistent models, including bar models.
      • Thought bubbles teach students to monitor their own thinking.
      • Multiple methods are presented, promoting flexible thinking.
      Mastery Learning

      Discussion and Journal Writing Promote Higher-Order Thinking

      • Think Math bubbles challenge students to consider both how and why math concepts work.
      • Math Journals support the Common Core Standards for Mathematical Practice as students justify their solutions and critique the reasoning of others.
      Math Journal

      Hands-On Activities Deepen Learning and Support the Standards for Mathematical Practices

      • Hands-On Activities keep students engaged and allow them to experience mathematical concepts in a concrete way.
      • Students learn to use technology tools strategically with Technology Activities.
      Hands On Activities spread

      Mastery of Concepts Allows Students to Solve Routine and Non-Routine Problems

      • Brain @ Work problems at the end of each chapter consolidate learning and challenge students to demonstrate mastery by applying it in new ways. These challenge problems promote critical thinking.
      Concept Mastery

      Chapter Wrap Ups Consolidate Learning

      • Key concepts, definitions, and formulas are summarized for easy review. Summaries contain concept maps with lines and arrows showing how all the concepts in the chapter are related to one another and to the big ideas.
      Chapter Wrap Up
       

      Math in Focus® and Marshall Cavendish® are registered trademarks of Times Publishing Limited. Singapore Math® is a trademark owned by Singapore Math Inc. and Marshall Cavendish Education Pts. Ltd.

    • Assessments

      Prepare students for rigorous Common Core Assessments

      Formative assessment is supported throughout the Student and Teacher’s Edition through Quick Checks, Ticket Out the Door, and Guided Practice.

      Assessment spread

      The Assessments book, available in print and online, provides summative assessments including pretests, chapter tests, and benchmark tests. Assessments are designed to prepare students for the rigor the Common Core State Standards calls for, so both routine and non-routine problems are included.

      Assessment Book Exam View

      The ExamView® Test and Practice Generator allows you to create unlimited assessments and includes Common Core test banks.

       

      Math in Focus® and Marshall Cavendish® are registered trademarks of Times Publishing Limited. Singapore Math® is a trademark owned by Singapore Math Inc. and Marshall Cavendish Education Pts. Ltd. ExamView® is a registered trademark of Turning Technologies, LLC.

  • HMH Professional Services

    Our Mission Is to Advance Yours

    HMH Professional Services forges student-centered partnerships with schools and districts in the belief that all learners deserve a quality education and the opportunity for lifelong success.

    HMH Professional Services includes teachers, leaders, and technologists. Our Professional Learning Consultants become part of your team, working right beside you to build and implement professional learning plans that respect the unique needs and culture of your school or district community. Through program, practice, and technical services, we work collaboratively to unlock the full potential of every student, teacher, and leader.

    Comprehensive Services for K–12 Educators

    We offer teachers and instructional leaders a full suite of learning and support to deepen their mastery and hone their teaching skills throughout the school year.

    school-year-chart

    Visit us at hmhco.com/professionalservices to learn more.


    AskHMH™ is a trademark of Houghton Mifflin Harcourt.

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