Primary Math 2022 Teacher's Guide 4A
|Note:||NON-RETURNABLE: CONTAINS A DIGITAL COMPONENT|
The Teacher Guide is a colorful, classroom-oriented (large, oversized 10”x12”) manual that provides the resources needed to successfully teach the Grade 4A course. Introductory information covers the Singapore math approach and methodology detailing the Guide’s features. Chapter information is extensive and includes a chapter overview and progression, plus a detailed lesson-by-lesson “chapter at a glance” chart that provides learning outcomes, focus questions, I CAN statements, vocabulary, materials, and instructional resources used (Student Book page numbers). It also includes “mathematical practices” (Singapore equivalent to “standards”). The learning methodology is based on teacher-student interaction, and the TG provides questions and discussion points in addition to step-by-step learning sequences.
The detailed daily lessons (about 50-60 minutes each) include Lesson Opener, Learn, Learn Together (activities geared to pairs and groups of students), and Practice on Your Own exercises. Activity! pages are periodically incorporated into these lessons. Reduced copies of student pages (with answers) are included. Daily lesson material ends with a full page outlining differentiated instruction that includes suggested activities and assignments from the Additional Practice, Reteach, and Extension workbooks. Homework assignments from the Mastery and Beyond workbooks are also included at the end of each section (group of lessons). In addition to lessons with this format, there are special lessons at the beginning and end of each chapter. Chapters begin with a Recall lesson that reviews concepts covered previously that will be built on in the chapter. They end with several lessons that includes a chapter wrap-up, performance task, STEAM Project (cross-disciplinary lessons that sometimes are continued through several chapters), and Chapter Practice (cumulative review over the chapter). These lessons are to be followed by a Chapter Test from the Assessment Guide.
Purchase of the Teacher Guide includes access to the Marshall Cavendish EduHub website. Teacher resources needed for some of the lessons are printable from this website. A Transition Guide is mentioned in the TG. This is a detailed guide for teachers that enables them to transition students into the Singapore math program. The guide provides teachers with background information on important concepts and highlights potential challenges that students might face. It is also a help to teachers who are unfamiliar with the Singapore math approach. This Transition Guide is available digitally for one year for purchasers of the TG.
The Teacher’s Guide provides teaching ideas and strategies to facilitate exploration, classroom discussion, and student-centered learning. It also includes ideas for differentiation, ideas for small group learning, and answers with select worked solutions. The front matter provides background on the program structure, lesson and concept development, and an overview of the Readiness-Engagement-Mastery model of learning.
Concepts covered include: Numbers to 1,000,000 (group into and count by hundreds of thousands, tens of thousands, thousands, hundreds, tens, and ones; represent numbers in various contexts; compare and order; write multi-digit numbers in standard, expanded, and word forms; use place-value models). Recognize, write, name, and illustrate mixed numbers and improper fractions in various forms. Fractions (generate equivalent and compare non-equivalent fractions; convert among mixed numbers and improper fractions; understand decimal notation through hundredths as an extension of the base-ten system). Fluently add and subtract multi-digit whole numbers using the standard algorithm. Understand factors and multiples. Multiply a 4-digit whole number by a 1-digit number and multiply two 2-digit numbers using strategies based on place value. Divide a 4-digit number by a 1-digit number with and without a remainder. Solve multi-digit multiplication and division problems. Multiply or divide to solve word problems. Add and subtract like fractions. Solve word problems involving multiplication of a fraction by a whole number. Add and subtract money amounts. Use mental math and estimation strategies to find sums, differences, products, and quotients. Understand prime and composite numbers. Find the greatest common factor and least common multiple. Determine if a whole number is prime or composite. Use a variety of concrete, pictorial, and symbolic models for the four operations with whole numbers, fractions, and decimals. Write and solve equations for multi-step word problems. Determine the missing parts in equations. Identify perpendicular and parallel lines. Understand the relationship between angles and circular measurement. Apply the properties of squares and rectangles. Recognize line symmetry. Solve real-world problems involving length, weight/mass, volume/capacity; converting from larger to smaller units. Find the perimeter and area for squares, rectangles, and composite figures. Construct and interpret line plots. Consult or download the complete Scope and Sequence for a full report of covered topics and concepts.
Packed with all the features we have come to love about Singapore Math in general, and Primary Math in particular, this 2022 edition is completely NEW! You’ll recognize the basic components – semester student books and home instructor guides – and the wonderful Singapore educational methodology, but it’s the user-friendliness of these components and their bright, breezy appearance that you will LOVE. Differentiated practice options and digital resources round out the advantages of this new edition. This first-in-twenty-years revision of the iconic Primary Math is “the same. . . but BETTER!”
Placement tests for Primary Math 2022 is available on our website – at the listings for the grade-level components and on the Rainbow Resource math placement tests page. These tests can be particularly helpful if you are coming in from a different math program. The scope and sequence of the older Singapore math programs is quite similar to the new edition, so it should be a smooth transition to move from one to another in-between grade levels.
The Primary Math 2022 core components include a: Student Book, Home Instructor Guide (HIG), Mastery & Beyond workbook, Additional Practice workbook, Assessment Guide, and Teacher Guide (TG). Some of the purchased print books come with an access code for Digital Resources. Once activated, this code provides a one-year subscription to the EduHub – the online resource website for Marshall Cavendish. A subscription renewal option will be available in the EduHub site during the fall 2022 semester. The HIG and the TG each provide digital ebooks, plus additional digital resources including access to the answer key pdf for the Additional Practice book. The HIG and TG also provide access to an online Transition Guide which is useful if you have a student (or teacher/parent) who is new to the Singapore math methodology. Other digital resources are being added and will be available to purchasers of the HIG or TG. These include animations, games, and digital manipulatives.
Singapore students consistently rank at the top of international benchmark assessments. The Singapore Math approach with its proven effectiveness has a foundation of Concrete to Pictorial to Abstract teaching. This means, simply, that each concept is introduced using manipulatives and items the student can feel and touch and see. Then, that same concept is presented in pictorial form – drawings of the manipulative items. Lastly, the concept is transferred into abstract form – numerical representations. Building on this foundation is a problem-solving methodology that uses visual models that promote mastery, as well as creative and critical thinking. The learning progression is incremental, with one concept building on another supported by reinforcement and review, as well as differentiated activities and practices.
With the goal of progression from Readiness (recall) to Engagement (learn) to Mastery (practice), book chapters have a consistent and distinctive organizational pattern. The Chapter Opener sets the stage with a real-world mathematical situation that invites curiosity and interest. A Recall lesson reviews concepts learned in the past that will be expanded in the upcoming chapter. “Learning” is divided into Sections, each with multiple Lessons that focus on specific skills and provide instruction as well as practice exercises. Following the instructional sections, the chapter concludes with a Performance Task (tasks set in real-world contexts), a STEAM project, (inter-disciplinary tasks), and a Chapter Practice (reviews and reinforces skills across the chapter) to be followed by a chapter test/assessment.
Students and teachers (parents) form a learning team and the instruction is based on this teacher-student interaction. Within the Primary Math 2022 components, the Home Instructor Guide (HIG) or Teacher Guide (TG) show how to use the manipulatives (household items as well as special materials) with both instructions and illustrations. The Student Book introduces the pictorial instruction which morphs into the abstract by the time the student reaches the practice exercises. Lessons have specific parts which reflect this process: Learn, Learn Together, and Practice on Your Own.
The colorful and engaging Student Books are consumable. The Practice on Your Own pages in the Student Book provide practice at the end of each lesson, but these are just the tip of the iceberg in terms of practice and homework options available. Mastery and Beyond pages provide practice exercises cumulative over several lessons. Additional Practice has exercises correlated to each lesson (these double the amount of practice for each lesson). For students who need additional instructional support, there is a Reteach Workbook and for those students who need additional challenge, there is the Extensions Workbook. The Reteach and Extensions books are only available as digital versions. For the 2021-2022 school year, these books will be included as part of the HIG or TG digital resources. After that, they will be available for purchase as a digital item.
It’s the Home Instructor Guide or Teacher Guide that pulls all these elements together and outlines the role of each component. You will need one OR the other of these. Both provide course overview information, manipulatives and materials needed, detailed daily lessons, answers/solutions to the Student Book exercises, and countless helps toward effective teaching. Both also reference digital teacher resources, some of which are downloadable and/or printable from the website.
Teacher Guides are classroom oriented (large, oversized 10”x12”) while the Home Instructor Guides are designed for one-on-one instruction. One example of this difference is the number of lesson activities in the TG that encourage students to work in pairs or groups. This is absent from the HIG for obvious reasons. Another example is the page in each lesson in the TG that is devoted to differentiated instruction where suggestions are made for Additional Support, On-Level Practice, and Extension activities. These suggestions include homework assignments from the Reteach, Additional Practice, and Extension workbooks that correlate with the lesson. On the other hand, the HIG has these same assignments, but devotes less time to teaching suggestions and wraps everything into a single paragraph.
In addition to the general orientation, there are three other differences between the HIG and the TG. The Teacher Guide is in color and includes reduced copies of the Student Book pages. The Home Instructor Guide is grayscale with answers/solutions in the sidebars. The third difference, of course, is the price point. I, for one, appreciate the publishers giving us such a user-friendly resource perfectly geared to our home-teaching situations for less than half the cost. However, if having reduced copies of student pages is important to you – then you have the option of using the more expensive TG.
A Transition Guide, mentioned in both the Teacher Guide and Home Instructor Guide, is a detailed guide for teachers that enables them to transition students into the Singapore math program. The guide provides teachers with background information on important concepts and highlights potential challenges that students might face. It is also a help to teachers who are unfamiliar with the math approach. This Transition Guide is available digitally for purchasers of the Teacher Guide and Home Instructor Guide. Please note that when the Transition Guide references page numbers it is for the TG and not for the HIG.
The Assessment Guide is designed as a resource for teachers. It provides tests for each chapter and cumulative tests after every 2-3 chapters, plus mid-year and end-of-year cumulative assessments. There are a variety of test formats utilized – multiple-choice, short answer, and constructed response. There are four types of test items: recall fundamentals; grasp of concepts, skills, and procedures; demonstrating mathematical reasoning; and problem-solving in real-world contexts. Answers are in the back of the book. Included with the purchase is a one-year access to the digital version of this book, which allows the tests to be printed. Tests can also be printed from the print copy of the book.
With its combination of attractive student materials, user-friendly home instructor materials, and practical digital resources, Primary Math 2022 should be a great option for many students.
Countries around the world first became interested in Singapore’s math curriculum when results of the Third International Math and Science Study (TIMSS) were published in 1995. Conducted by the International Study Center at Boston College, achievement tests in both math and science were administered to students in over 40 countries. Students from Singapore ranked highly in mathematics achievement: 1st in the fourth, seventh, and eighth grade levels and 2nd at the third grade level. Results for the U.S. were disappointing: 10th in the third grade, 11th in the fourth grade, 23rd in the seventh grade, and 27th at the eighth grade level. In a follow-up study in 1999, Singapore again ranked 1st in eighth grade math achievement while U.S. eighth graders ranked 19th. Although a first place ranking does not necessarily imply the best program, something about Singapore’s math program was working.
“Singapore Approach Math” is a general term referring to a type of mathematical instruction (i.e. curriculum) developed from a syllabus designed by Singapore’s Ministry of Education in the 1980s. There were a number of revisions and the 3rd edition was the last edition used in Singapore. The good test scores were associated with this material and all of our Singapore Approach Math programs are based primarily on the 3rd edition although it is no longer available for sale. Components from different editions are not interchangeable but a student can move between the editions in-between levels.
Primary Math US (1-6) is an adaptation of the 3rd edition for use in the U.S. Although a small amount of content (division of fractions) from the 2nd edition was added back into the US edition, it is almost identical to the 3rd edition. The US edition adds sections for U.S. customary measurements and uses U.S. spelling and conventions. We expect this edition to be available indefinitely. ©2003
Primary Math S/E (Standards Edition) (K-6) was adapted to meet the pre-Common Core CA math standards. An additional amount of content (probability, data analysis, negative numbers, coordinate graphing) from the 2nd edition was added back in and topics were rearranged but it is similar to the US edition. Cumulative Reviews at the end of each Unit and practice sets within each unit were added. Textbooks are in color. ©2008 This edition includes Earlybird Kindergarten Math.
Primary Math CC (Common Core) (K-5) is aligned to the Common Core State Standards and is another adaptation of the 3rd edition. Only minor changes were made to the scope and sequence. Unit Reviews are no longer cumulative and Practices were removed although some of the content was incorporated into the lessons. ©2014 Includes Earlybird Kindergarten Math CC. This edition will be available for the foreseeable future.
Primary Math 2022 Edition (K-5) is a completely new revision retaining all the excellent teaching methods of the earlier Primary Math programs. Incorporating both cumulative assessments and challenging problem solving, mastery learning is emphasized. The scope and sequence is similar to previous editions and topics are aligned to state and national standards. ©2021-2022
New Elementary Math (7-8) is a no-frills program based on an older Singaporian program and covering integrated algebra and geometry. It’s considered a sequel to the Primary Math programs.
Math in Focus (K-8) was developed by Great Source (a division of Houghton Mifflin Harcourt) in conjunction with Marshall Cavendish (the original publisher in Singapore). Although the basic instructional sequences are similar and the content is very close to the SE, material added to the most recent editions brings it into alignment with CC. Math in Focus has a more American look and “feel.” ©2010, 2014
View the Singapore Approach Math Comparison Chart.