# Dimensions Mathematics Workbook Solutions 7A

Item #: | 006347 |
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ISBN: | 9789814431804 |

Grades: | 7 |

**Category Description for Dimensions Math (Gr. PK-8):**

In general, the newer Singapore material is visually more appealing and this series is no exception. Perhaps it's the full-color texts, or the graphic icons, or the occasional photograph or illustration, but there's really no doubt. Compared to New Elementary Math (the other Singapore series at the secondary level), visually, it's a no-brainer. However, there are other considerations and I suspect that choices will be made in both directions.

A comparison of the scope and sequence of the two courses shows surprisingly few differences, although they are there if you look closely. Both include integrated coverage of beginning and advanced algebra topics, geometry, and some trigonometry. DM lacks an in-depth review of arithmetic topics but includes matrices, radian measures, some additional data presentation forms (box & whisker plots; stem & leaf plots), and standard deviation. DM does not include as many advanced trig topics (see description for Discovering Additional Mathematics). There is also a difference in the degree of difficulty in terms of problems worked. DM has fewer challenging problems and exercises are slightly shorter, although they are divided as to problem difficulty. As in NEM, lessons in the text consist of explanations and worked examples, but in DM each worked example is followed by a Try It! challenge that allows students to see if they have understood. Each DM chapter concludes with review, compared to every 3-4 chapters in NEM. Additionally, there are some open-ended problems and journal writing questions. Sidebar information includes brief biographical information on notable mathematicians, discussion questions, recall points, and information tidbits. Textbooks have answers to the reviews and most exercises in the back, but the Textbook Teacher's Guide includes fully worked solutions to all problems along with weekly lesson plans that include helpful website resources. Textbooks vary from 150 to 215 pgs with most running in the 200 pg neighborhood. Teacher's Guides also vary in terms of page length but tend to be 150 pgs on average, both paperback.

Workbooks (with an accent color) for each level are designed to give students more practice. The publisher suggests that the student refer to the summary of important concepts in the text before tackling the workbook problems. The workbook questions for each chapter divided into basic, further, and challenging practice categories as well as enrichment. As with the textbook there is a complete answer key in the back of the workbook, but the Workbook Teacher's Edition shows worked solutions for every problem. Avg. 160 pgs, pb

Question Banks provide an unusual tool. Included are problems for each textbook chapter (number per chapter varies) labeled by difficulty level (low, medium, high). Each problem is shown with a worked solution. These problems allow the teacher to make selections for tests and assessments. The drawback is that each problem must be hand copied/typed as the solutions are "right there" and can take up a good part of each page. Avg. 390 pgs, pb ~ Janice

**Category Description for Singapore Math Programs:**

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 seems to be working.

"Singapore Approach Math" is a general term referring to the math curriculum, or syllabus, designed by Singapore's Ministry of Education. The curriculum has been regularly revised over the last two decades, with most recent revisions in 2001. We carry two different lines. From SingaporeMath.com we carry Earlybird Kindergarten Math (PK-K), Primary Math (1-6), and New Elementary Math (7-10). From Great Source Educational we carry Math in Focus (K-6).

Both of these programs are produced by the same company, Marshall Cavendish Education (Singapore). The U.S. Primary Math editions have a 2003 copyright, while the newer, Standards Edition have a 2008 copyright. These are both modifications of the original edition of Singapore math. These programs are distributed in the U.S. by SingaporeMath.com. They are essentially the same, though the Standards Edition has a small amount of added material and some of the sequences have been rearranged to better meet U.S. standards. Math in Focus has a 2009 copyright. It is distributed in the U.S by Great Source, a division of Houghton Mifflin Harcourt, and packaged for the homeschool community by Saxon Homeschool. So, the programs have common origins.

Primary Math and New Elementary Math are based on the 1997 mathematics syllabus. New Elementary Math has since been "phased out" of schools in Singapore (probably in favor of texts following the 2001 syllabus). However, Primary Math and New Elementary Math are the series that originally gained Singapore international recognition for excellence in mathematics.

There are now manipulatives especially designed to be used with the Singapore approach. Look for these at the end of this section.

**Category Description for Dimensions Math for Grades 6-8:**

The *Dimensions Mathematics *is a remake of the original *Discovering Mathematics.* This course follows the Singapore Mathematics framework while also covering topics in the Common Core State Standards. The revision is currently in progress, with grade 6 being developed to accompany grades 7 and 8 courses. The 6A textbook provides a place to go after finishing 5B in the *Primary Math* *CCSS edition* and is the bridge to levels 7 and 8 content. Currently, the 6A and 6B textbooks are only available-contact us for availability of other grade 6 components. Some new topics have been added and others have been rearranged between levels: some US measurement is included (metric is still dominant) and terminology reflects the more common US usage and spelling. Some of the additional topics are in the areas of numbers and operations, solutions of linear equations and inequalities, graphs of linear functions and relations, measurement, and data analysis. Some topics that were once found in books 1 and 2 of the original *Discovering Mathematics* series are now found in grade 8 of *Dimensions Mathematics,* but no topics have been removed. Students completing *Dimensions Math 8* should be prepared for second-year algebra or geometry at the high school level.

**Textbooks** for this series are full color and chapters are divided into lessons. The amount of time you take for each lesson is not indicated, but you will want to finish one textbook per semester. Each chapter begins with an introduction to the concept or topic and lists the learning outcomes for the chapter. Each lesson includes an explanation with examples for the topic or concept, and "Try It", which is a question similar to the example. A variety of side notes are found in the margins. For example, "Math Web" includes a link for additional information, "Remarks" lists key learning points, "Recall" asks students to remember earlier presented content, "Discuss" is a thinking question related to the topic, and "Math Bits" states an interesting fact related to the topic. You will find an exercise for every lesson that includes "Basic Practice" (direct application of the concept), "Further Practice" (more challenging questions with application of concepts), "Math@Work" (practice with integrated concepts in practical situations), and "Brainworks" (higher order thinking questions that involve an open-ended approach to problem solving). Occasionally a "Class Activity" introduces new concepts through cooperative learning methods. At the end of each chapter you will find "In a Nutshell," which summarizes important rules and concepts from the chapter for easy review; a "Review Exercise" that offers a variety of integrated questions for students to apply chapter concepts; "Extend Your Learning Curve" that offers an opportunity for individual research; and "Write in Your Journal" that offers questions for reflection on chapter content. An answer key is found at the back of the book.Students will begin using a calculator (*TI-30Xa* is used for examples) and the *Geometer Sketchpad *(item # 034839)

**Workbooks** offer additional practice for each lesson and include Basic, Further, Challenging, and Enrichment sections the latter being the most challenging problems. Answers are listed in the back of the workbook for your convenience. If you would like more complete, worked solutions to the problems in the workbook, a Workbook Solutions is available.

**Teaching Notes & Solutions** offer fully worked solutions for "Try It", "Class Activity", "Basic Practice", "Further Practice", "Math@Work", and "Brainworks" exercises found in the textbook, as well as the "Review Exercise" for each chapter. The teaching notes are found in the front section of this book. It includes a suggested approach for each chapter and a brief suggestion (about a paragraph) for each lesson and what the student should gain from the lesson. I read on the publishers website that there is a weekly schedule found in this book, but I can find it nowhere. There are just the very brief teacher notes for each chapter and solutions. There are no tests written for this new edition, but you could use your chapter reviews for assessment purposes.

Keep up with the standards and teach good, solid math concepts with *Dimensions Mathematics*. ~ Donna/Deanne

**Category Description for COMPREHENSIVE PROGRAMS - ALL GRADES:**

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- User Staff on Nov 13, 2019