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Secondary Mathematics

  1. Why do you only carry Singapore Math® material through 8th grade?
    In Singapore, students attend primary school for 6 years, then secondary school for 4 years. Grades 7-11 in the U.S. are roughly equivalent to secondary 1-4 in Singapore. Past grade 8, the progression in the two systems doesn't quite align. For a rough comparison of material:
    Secondary 1: pre-algebra, some algebra 1 and geometry
    Secondary 2: algebra 1 and geometry
    Secondary 3: some algebra 2, geometry, some trigonometry
    Secondary 4: some advanced topics and review

  2. What is the Dimensions Math® Series? How does it compare to the math in Singapore?
    Dimensions Math® is a series for grades 6-8.
    Compared to what is used in Singapore, there are more topics, some U.S. customary measurements (metric measurement still predominates), and it uses American English spelling. It follows the Singapore Mathematics Framework for Secondary 1 and 2, but also covers the Common Core Standards. The 6th grade book was written specifically for the U.S., as there is no equivalent level covering the requirements of Common Core Standards in Singapore. Primary 6 in Singapore is focused more on review and preparing for Primary School Leaving Exam (PSLE) rather than starting on new topics. The format follows that of the 7th and 8th grade books (see below) and not the Primary Math books.

  3. Are Dimensions Math® 6, 7 and 8 less advanced or rigorous in order to accommodate the Common Core Standards?
    No, it still includes topics considered to be Algebra 1 (such as the quadratic formula, fractional exponents, factorization of algebraic expressions) that are not part of the Common Core Standards for grade 8 but are part of the Singapore syllabus at that level.

  4. What is New Elementary Mathematics?
    New Elementary Mathematics is more challenging than Dimensions Math®. It is no longer in print in Singapore, but we continue to offer it as it remains popular in the U.S. It has not been adapted in any way for the U.S. The series meets the criteria for Singapore’s syllabus in 1990. If you have an advanced student, this series is an excellent preparation for higher math as it requires more problem solving abilities and has more challenging problems compared to Dimensions Math®.

  5. How does the format of Dimensions Math® or New Elementary Mathematics compare to Primary Mathematics? How do the workbooks relate to the textbooks? What is the structure of a lesson?
    textbooks contain both the lesson and the practice. The workbook is now supplementary and non-consumable with additional problems after each chapter. The lessons include some activities that are similar to the learning tasks in Primary Mathematics, but there are also more worked examples with solutions and explanations. Some lessons are designed to take several days, with exercises only at the end of the lesson, and are longer than those in the Primary Mathematics workbook.

  6. Do you have placement tests?
    We do not. A student finishing Primary Math 5A and 5B can do Dimensions Math 6. A student from another curriculum will also be able to do Dimensions Math 6, but some extra time might be needed for the word problems at the end of some chapters, if they are not familiar with using bar models. A student going into 7th grade, or who can successfully complete Primary Mathematics Standards Edition 5A and 5B assessment tests, could start working with Dimensions Math® 7. They could possibly also take on New Elementary Mathematics 1 if they are advanced. A student who has completed pre-algebra can do Dimensions Math® 8 or New Elementary Mathematics 2.

  7. Do you have a scope and sequence for these books?
    Yes. Please click here for Scope and Sequence.

  8. Do you have a list of contents? Sample pages?
    Yes. Each product page includes tables of content and sample pages.

  9. Are there teacher's guides available? Tests? Answer keys? Solutions?
    All secondary level textbooks and workbooks have answers to most, but not all, of the problems at the back. Depending on the series, there are various teaching resources available with additional answers or solutions. See the chart below for comparison between the series. However, none of the teacher guides have daily lesson plans.

  10. Can I switch between series?
    For continuity, it is not advisable to switch between New Elementary Mathematics and Dimensions Math®.

  11. What if I have more questions or need more help with the content or selecting the right book?
    Please visit our forums and post your questions or concerns. You can also email the curriculum advisor.

  12. It says in the chart below that some activities in Dimensions Math® use Geometer's Sketchpad. What is that and where can I get it?
    Geometer's Sketchpad is a dynamic geometry software program produced and sold by Key Curriculum Press. (We are not associated with Key Curriculum Press and we are not responsible for any purchases made with this company.) You can use other dynamic software programs for the same activities, such as Geogebra, but the steps will be different.

  13. What comes after New Elementary Mathematics 2 or Dimensions Math® 8?
    A student who has completed either of these should be prepared for second-year algebra or geometry at the high school level. An advanced homeschooled student could potentially do a college level intermediate algebra or pre-calculus text, since there is so much repetition between different levels of college texts. However, not all geometry topics generally expected for high school and formal geometric proofs have been covered.

  14. New Elementary Mathematics (NEM)
    Dimensions Math ® (DM)
    First published 1991. New edition in 1996. Based on the syllabus used before 2001 and one of the texts used by students taking the TIMSS international test. No longer used in Singapore.
    First published 2012. Based on the Discovering Mathematics series.
    Textbook structure
    Lessons consist of explanations, worked examples, and class activities. Each lesson is followed by an exercise. The lesson and its exercise may take more than one day to complete.

    Each chapter is followed by a summary of concepts and optional "Challenger" and "Problem Solving" exercises.

    At the end of every 3-4 chapters is a set of cumulative review exercises, and an optional "Miscellaneous Exercise and Investigation" for exploring some concepts in more depth.

    There are two practice cumulative assessments at the end of each textbook.
    There are two textbooks for each level, A and B. Lessons in the textbook consist of explanations and worked examples.

    Many lessons include one or more class activities, which allow students to learn through discovery. Some of these use Geometer’s Sketchpad. Each lesson is followed by an exercise. The lesson and its exercise may take more than one day to complete.

    Each chapter is followed by a summary of concepts, a review exercise, an open-ended "Extend Your Learning Curve" problem, and one or two questions for journal writing.
    Exercises vary in length and style (computation, skill problems, word problems). There is a large selection and it is not necessary to do all of them. More challenging problems are marked with an asterisk.
    Problems are divided by difficulty level into Basic Practice, Further Practice, Maths@Work (application) and Brainworks (challenge). Chapter review exercises are not divided by difficulty level.
    Answer keys
    Answers to regular exercises, periodic Miscellaneous and Review exercises, and practice assessments are in the back of the textbook.
    Answers to all problems are in the back, unless the answer involves a diagram or graph.
    Teacher resources and fully worked solutions
    Teacher’s Manuals have weekly schedules, and fully worked solutions for the Challengers, Problem Solving, and Investigations. Solutions Manuals have fully worked solutions to the rest of the exercises.
    Teaching Notes and Solutions includes brief notes and fully worked solutions to all problems in the textbook, including class activities. It does not include lesson plans or a daily schedule.
    Workbooks are supplementary and contain additional problems, practice tests, and mid-term and final term assessments. Only the tests have room in the book to work the problems. Answers are in the back. There are no fully worked solutions.
    A supplementary workbook for each level contains a set of problems for each chapter. Answers are in the back. A separate Workbook Solutions contains fully worked solutions.
    Sample tests are at the end of each textbook. Practice test papers, midterms, and semester tests are in workbooks (these are challenging and should be graded accordingly).
    There are currently no tests, but the workbook could be used as a test bank.

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