Secondary Mathematics
 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 711 in the U.S. are roughly equivalent to
secondary 14 in Singapore. Past grade 8, the progression in the two systems
doesn't quite align. For a rough comparison of material:
Secondary 1: prealgebra, 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
 What is the Dimensions Math^{®} Series? How does it compare to the math in Singapore?
Dimensions Math^{®} is a series for grades 68. 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.
 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.
 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^{®}.
 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?
The textbooks contain both the lesson and the practice. The workbook is now
supplementary and nonconsumable 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.
 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 prealgebra can do Dimensions Math^{®} 8 or New Elementary Mathematics 2.
 Do you have a scope and sequence for these books?
Yes. Please click here for
Scope and Sequence.
 Do you have a list of contents? Sample pages?
Yes. Each product page includes tables of content and sample pages.
 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.
 Can I switch between series?
For continuity, it is not advisable to switch between New Elementary
Mathematics
and Dimensions Math^{®}.
 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.
 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.
 What comes after New Elementary Mathematics 2 or Dimensions Math^{®} 8?
A student who has
completed either of these should be prepared for secondyear algebra or geometry
at the high school level. An advanced
homeschooled
student could potentially do a college level intermediate algebra or
precalculus 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.

New Elementary Mathematics (NEM)

Dimensions Math
^{®} (DM)

Publication
date

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 34 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 openended "Extend Your
Learning Curve" problem, and one or two questions for journal writing.

Exercise

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

Workbooks are supplementary and contain additional problems, practice tests, and
midterm 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.

Tests

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.




Singapore Math^{®} is a registered trademark of Singapore Math Inc. and Marshall Cavendish Education Private Limited


