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Understanding Mathematics

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  • Item #: 047522
    ISBN: 9780965730037
    Retail: $24.95
    Rainbow Price: $24.75

    A non-technical book that explains math from counting to calculus. Topics build on one another, providing the reader with a complete overview of mathematics. This book is divided into three sections-- elementary (numbers, addition, subtraction, multiplication, division, fractions, percentages, negative numbers, exponents, pre-algebra), intermediate (solving one algebraic equation, solving a system of equations, word problems, functions, graphing, geometry, measurement of geometric figures, trigonometry), and advanced (logarithms, complex numbers, finding geometry, using algebra, introducing calculus, the derivative, the integral). This is not a text, but a discussion that includes numerous worked examples. For parents, students, or anyone who wants to understand math. Also useful as a comprehensive math reference.

    It does no good to have a text without practice of the concepts. Students read the content found in the main text "Understanding Mathematics," then complete the corresponding section in the solutions (companion) guide. The first half of the guide offers hints, examples, explanations, exercises, and problems for practice. Each chapter's content builds on the previous chapter, and initial problems incorporate the new concept presented in the main text and more challenging problems with multiple concepts by the end of the chapter. The second half of the book gives the solutions for all of the problems in the book. A 20-question chapter summary concludes each chapter. The text along with the solutions guide provide extra practice in specific skill areas, allow students to work ahead of their curriculum for an added challenge, or can be used for a comprehensive review before taking a standardized test. sc. ~ Ahn/Donna

  • Item #: 018292
    ISBN: 9780965730013
    Retail: $24.95
    Rainbow Price: $24.75

    A non-technical book that explains math from counting to calculus. Topics build on one another, providing the reader with a complete overview of mathematics. This book is divided into three sections - elementary (numbers, addition, subtraction, multiplication, division, fractions, percentages, negative numbers, exponents, pre-algebra), intermediate (solving one algebraic equation, solving a system of equations, word problems, functions, graphing, geometry, measurement of geometric figures, trigonometry), and advanced (logarithms, complex numbers, finding geometry, using algebra, introducing calculus, the derivative, the integral). This is not a text, but a discussion that includes numerous worked examples. For parents, students, or anyone who wants to understand math. Also useful as a comprehensive math reference.

    It does no good to have a text without practice of the concepts. Students read the content found in the main text "Understanding Mathematics," then complete the corresponding section in the solutions (companion) guide. The first half of the guide offers hints, examples, explanations, exercises, and problems for practice. Each chapter's content builds on the previous chapter, and initial problems incorporate the new concept presented in the main text and more challenging problems with multiple concepts by the end of the chapter. The second half of the book gives the solutions for all of the problems in the book. A 20-question chapter summary concludes each chapter. The text along with the solutions guide provide extra practice in specific skill areas, allow students to work ahead of their curriculum for an added challenge, or can be used for a comprehensive review before taking a standardized test. Sc.~ Anh / Donna

  • Item #: MPC6PK
    Retail: $766.88
    Rainbow Price: $550.00

     This package includes:

    Exploring the History of Medicine

    Classical Composition III: Chreia/Maxim DVD

    Memoria Press Geography II Complete Set

    Second Form Latin Complete Set

    Spelling Workout 2001 Level G Student Edition

    Spelling Workout 2001 Level G Teacher Edition

    What's That Bird Set

    Understanding Mathematics Grade 6 Pupil

    Understanding Math Gr.6 Quizzes & Speed Tests

    Understanding Math Gr. 6 Tchr's Manual Part 1

    Understanding Math Gr. 6 Tchr's Manual Part 2

    Understanding Mathematics Grade 6 Test

    Exploring History of Medicine Suppl Std ?s 3E

    Exploring History of Medicine Tchr Ky/Tsts 3E

    Sixth Grade Curriculum Manual

    Core Skills: Language Arts 2014 Grade 6

    Memoria Press Literature Sixth Grade Package

    Christian Studies Book III Student (2nd Edtn)

    Christian Studies Book III Teacher Manual 2ED

    Famous Men of the Middle Ages Set

    Famous Men of the Middle Ages Flashcards

    Classical Compositn III: Chreia/Maxim Stdt Bk

    Classical Compositn III: Chreia/Maxim Tchr Gd

    English Grammar Recitation Wkbk III Stdt Bk

    English Grammar Recitation Wkbk III Tchr Gd

    New Testament Flashcards Set of 113

  • Item #: MPC6CS
    Retail: $199.17
    Rainbow Price: $160.00

  • Item #: 066785
    ISBN: 9781425816445
    Retail: $19.99
    Rainbow Price: $15.95

    Text-Dependent Questions is another way to say reading comprehension. In the area of math do students understand the word problem they just read enough to solve the problem? This book offers 480 question stems questions that guide students to connect what they are learning to previous knowledge. Question stems in this book cover 12 skill areas: analyzing meaning and making a plan, understanding numbers and relative units, moving from concrete to abstract thinking, identifying and using appropriate tools, applying properties of operations, using problem-solving strategies, forming mathematical conjectures, communicating mathematical thinking, considering ideas of others, justifying strategies/processes/solutions, creating word problems, and discovering mathematics in the real world. Each skill area includes an overview, four levels of question stems (K-1, 2-4, 5-8, 9-12), examples, 10 question stems, and an activity page for each level. Question Stems can be used as written or adapt them to meet your needs. This book may be copied for classroom or family use and is a good comprehension-type of supplement for math, giving clarity to word problems. ~ Donna

  • Item #: 057641
    ISBN: 9781931181976
    Retail: $5.95
    Rainbow Price: $3.95

    Using a 5 step process, students learn to organize their thinking and understanding of mathematical problems. Every two-page spread is intended for one problem, and provides 1) space to write the question or facts; 2) 1 cm grid space to use one or more strategies to solve the problem; 3) lines to write math terminology; 4) a larger area in which to justify your solution by explaining your reasoning; and 5) space in which to apply your solution to another problem or situation. There are enough pages (80) to do 40 problems and makes a nice companion to your math curriculum. ~ Donna

  • Item #: 056272
    ISBN: 9780977732333
    Retail: $10.95
    Rainbow Price: $9.95

    Fluency with math facts is essential for success with higher-level math courses but more than that is vital for solving real life math problems. While math experts disagree on the nuances of teaching math computation, most believe that fluency comes from practice and understanding the mathematical thought process behind the problems.

    Using multiplication as the foundation of division, this supplementary workbook provides 60 reproducible activity pages covering six skill areas: multiplication review, missing factors, word problems, division, mixed division and multiplication and cumulative practice. Introductory pages summarize teaching goals, how to use the book, and a valuable step-by-step guide to introducing and teaching division. The last is my favorite section! Clearly written, the instructions offer straightforward hands-on activities to teach the concept of division that will appeal to all learners. Also included are Pre and Post Assessments, Baseline Recorder, Record Keeping Checklist, Answer Key and a Certificate of Mastery. An excellent resource for younger students just learning division or older students who never memorized their math facts. It is recommended that students who have never memorized their multiplication facts should begin with Five Times Five is not Ten: Making Multiplication Easy (#044676) from the same author. Worth mentioning, both books are sequenced identically and can be used together. 64 pgs, pb ~Deanne

  • Item #: 052042
    ISBN: 9781601444530
    Retail: $0.00
    Rainbow Price: $36.99

    Geometry isn't treated with the intensity in middle school, in many cases, for high school success in the subject. This book follows the National Math Standards and presents an introduction to the basics of geometry. Students won't just learn the properties of geometry, but will learn the reasoning behind the properties and learn the basics of geometric proofs and coordinate geometry. A glossary is included in this 256-page book that can be used as a text in junior high and it is reproducible for family or classroom use.

  • Item #: 060634
    Retail: $3.91
    Rainbow Price: $3.85

    This 61-pc set allows children to work tactilely with fractions by applying them to circles. Plastic pieces include an avocado green whole, blue halves, green thirds, peach fourths, magenta fifths, orange sixths, pink eighths, highlighter green tenths, and purple twelfths. A transparent cylindrical box with lid holds the whole set. Show equivalents by placing the whole piece in the bottom and see what combinations of other fractions will fill the circle. You could also enhance the pieces by adding magnets to the back. ~ Ruth

  • Item #: 067718
    ISBN: 9781683440376
    Retail: $260.96
    Rainbow Price: $179.95

  • Item #: 066816
    Retail: $14.95
    Rainbow Price: $12.95

  • Item #: 063932
    ISBN: 9781937032555
    Retail: $0.00
    Rainbow Price: $39.00

       Learn logic in a day!  That is, a day in the life of Fred.  Here is a complete coverage of logic in a mere 176 pages.  No ancillaries required.  That’s right.  No separate teacher book, no test pack, no workbook needed.  It’s all right here – the whole “Kittens” caboodle.  Fred, now six (and still a professor at Kittens U), is preparing to give a logic lecture.  Ironically, and somewhat conveniently, Duck (first introduced in Life of Fred: Apples) pays Fred a visit and provides ample fodder for some of the first topics covered in the book.  Duck, who always speaks in sentences that are false, helps to illustrate both logic sentence structure and the concept of every sentence being True or False.  As always, Dr. Schmidt manages to both entertain and train.  Along with the levity and random bits of eclectic knowledge provided in chapter 1, Dr. Schmidt gets right down to introducing us to both pure and applied logic and the language of logic (the use of symbols, modeling, and structures) – all in the first few pages of the book.   From there, the course progresses through the topics of truth tables, connectives, the language of logic, inductive vs. deductive reasoning, logic fallacies (covered all in ONE conversation), and predicate logic.  These first six chapters provide a complete high school logic course.  Once logic as a second language is mastered, working through the remaining ten chapters is the equivalent of completing a college-level logic course.   This part of the course is more heavily theoretical.  It uses the structures and models learned in the first part of the course, progressing to proofs, introducing more complex structures and lemmas, and giving much thought to Gödel’s Incompleteness Theorem.   No prerequisites are required to begin this course, though I think it would help if your student had completed Algebra and Geometry before tackling it.  While the math skills themselves are not needed, the ability to reason well and think logically (and somewhat mathematically) is.  There are no exercises to complete, though there are 99 “puzzles” to solve.  In addition to a very alert and thoughtful mind, familiarity with and understanding of symbolic language, proofs, combinations, set theory, and other topics typically covered in higher-level math would aid solutions.  As far as teaching time, there is none.  The course is totally self-instructional.  Instruction is directed to the student/reader and all answers are included in the back of the book.  Dr. Schmidt goes to great lengths as the book’s narrator to make sure the student does not take the easy road and check the answers before first exercising his/her brain.  He also already anticipates questions and objections the student might have, with many “reader” interjections, shown in distinctive font, at these points.   One quibble I have with the book (and a caution to parents) is Dr. Schmidt’s unnecessary incorporation of drugs (cocaine) and drinking used in one of the early examples in the book.   I can guess the reason for this, but I wish he had considered another option….  This course will appeal most to those who enjoy math, enjoy Fred, and enjoy a good story along with their study.

  • Item #: 068117
    Retail: $0.00
    Rainbow Price: $29.75

     Fractions in equations can sometimes be very difficult for students to understand. Using the Hands-On Equations method, students can systematically learn how to solve equations that contain fractions. This set is intended for one student and includes a set of red and green number cubes, a flat laminated scale, set of plastic fraction blocks, Level I and Level II lesson books (12 lessons total), reproducible worksheets and answer key. These are the same number cubes and laminated scale used in the Hands-On Equations System. Each worksheet has 8 equations, 4 from the current lesson and 4 from previous lessons. The lessons build systematically, so you will want to do them sequentially. For your kinesthetic, visual students, this is a wonderful tutorial for better understanding fractions in the setting of equations. ~ Donna

  • Item #: 065938
    ISBN: 9780890519912
    Retail: $39.99
    Rainbow Price: $28.95

    The Teacher Guide is a very important part of this program. You will find a course schedule, worksheets for each lesson, answer keys (a mix of answers and solutions), quizzes, and tests. Also included in the worksheets are math problems from historical text books, such as Applied Mathematics for Junior High Schools and High Schools and Secondary Arithmetic: Commercial and Industrial for High, Industrial, Commercial, Normal Schools, and Academics and Practical Algebra: First Year Course. These problems help students understand the role of math throughout history, but they are also good thinking math problems. There are two versions of the schedule – two-year and one-year. The two-year schedule is basically one lesson per day using both books to equal two years of junior high math. If you have a student who is really motivated and wants to finish both books in one year, there is a schedule for that. In this option, students complete about 2 to 3 lessons per day – depending on the length. The Student Workbook is consumable (not reproducible); pages are perforated with plenty of space for students to show their work and answer questions.

  • Item #: 059497
    ISBN: 9781943122127
    Retail: $0.00
    Rainbow Price: $19.95

    Does your child struggle with retaining math facts or forget how to perform basic math computations? Do they need to use math manipulatives for basic math facts, even into their middle school years? With the majority of math curricula written for the left-brain learners who easily understand the drill-based math facts taught through black and white images, what is a parent to do with a child who learns differently and is not able to grasp math as traditionally taught? This DVD may provide the key to defeating frustration and overcoming forgetfulness! Beginning with a brief overview of right and left-brain learning as it applies to mathematics, Dianne Craft shares effective strategies to help struggling learners retain math facts and processes. While recommendations for math curricula workbooks are offered, these techniques would work with most math programs that you are currently using-with just a bit of tweaking! Strategies to teach addition/subtraction, multiplication/division, Algebra (order of operations), fractions and multiplication by 3 digits are included. This totally different teaching method will retrain the “non-math” brain into a math sponge, giving your child confidence and skills for math success! While not part of the Right Brained Math Series from Child First Publications, this DVD could be a vital forerunner to that series, providing parents and teachers a foundational understanding of right brain leaners and their distinctive needs. Part of the “Struggling Learner Seminar” series. DVD runs approximately 40 minutes. ~ Deanne

  • Item #: 057122
    Retail: $15.99
    Rainbow Price: $9.12

    This deceptively simple collection of plastic pieces is a clever manipulative for investigating all sorts of shapes and angles. The "stix" come in eight colors and range in size from 1.25" to 6.25" – not necessarily in evenly graduated increments. They are flexible (will bend) and have protruding little knobs on one of the flat sides with corresponding holes on the other. Not surprisingly, the knobs fit into the holes, and the result is connectivity. You can connect these little guys up into any straight-sided, two- dimensional, geometric figure – squares, rectangles, triangles, rhombi, parallelograms, hexagons, etc. There are 12 each of the four smaller sizes and 8 each of the four larger sizes. The package also contains two small protractors and a packet of laminated cards (23 activities). Activities range from the simple – defining shapes, to the basic – measuring angles with a protractor, to the advanced – triangle sums and proving pythogoras. This set of stix will go a long way toward helping your hands-on, kinesthetic student (as well as a lot of the rest of us) understand geometric relationships. ~ Janice

  • Item #: 049541
    Retail: $13.25
    Rainbow Price: $11.95

    This sturdy wooden abacus measures 7.5 inches high and 9.75 inches wide. Marked on the front left with 1, 10, 100 and 1000, the red and white wooden beads slide smoothly on metal rods to help students work problems and better understand base ten math. ~ Donna

  • Item #: 045952
    ISBN: 9781465435750
    Retail: $19.99
    Rainbow Price: $13.95

       DK has published a great guide for children who need visual examples and extra help with math. This book offers step-by-step explanations and colorful graphics to aid children in grades 2-5. Get additional explanation for numbers, calculating, measurement geometry, statistics, and Algebra. Students will be taken through examples and then given the opportunity to solve a few problems. Tips are given along the way to make math concepts more understandable. 320 pgs, pb. ~ Donna

  • Item #: 038671
    ISBN: 9781683440222
    Retail: $29.99
    Rainbow Price: $22.50

    A Teacher Guide includes a weekly lesson schedule with space to record the due date and grade, chapter tests, mid-term and final exam, and test answer keys. The Teacher Guide also includes reference pages that include a glossary, formulas, and postulates & theorems as presented by chapter.

  • Item #: 030726
    ISBN: 9781935502876
    Retail: $19.79
    Rainbow Price: $13.95

    Math facts can be learned in a number of ways, but can be difficult for some youngsters. This set includes number bond cards for addition and subtraction and part-whole cards. The cards measure 5 inches square and are made of sturdy, glossy cardstock. There are a few blank cards in each set for making your own combinations.

    The number bond cards (80 in the set) are more than flash cards; they show the relationship between addition and subtraction facts. The front of each card presents a diagram with 3 boxes: one box is outlined with a dotted line. The dot-outlined box shows the sum of the other two boxes; the dot-outlined box might instead show one of the addends. The digits you see can be used to explain both the functions of addition and subtraction. The reverse side of the number bond cards show the same diagram as the front, but the dot-outlined number is missing; children name the missing number.

    Part-whole cards (80 cards in the set) show the parts of the whole number. The top half of the card shows the larger number and the bottom half of the card shows the numbers used to make the larger number (for example, 4 and 5 at the bottom and 9 at the top); the cards represent combinations up to 10. The back of each card shows the same number combinations, but one number is missing: children determine the missing number.

    Help your children learn their math facts but also understand the relationship between functions with these helpful card sets. ~ Donna

  • Item #: 022375
    ISBN: 9781933339917
    Retail: $19.95
    Rainbow Price: $12.95

    Math understanding doesn’t magically occur when a child begins their academic years – kindergarten and up. Their brains are developing from the time they are born, and you, the parent, can do things to help with that development and lay the foundation as they approach kindergarten. Games – my favorite way to teach young children! This 100-page, softcover book is full of games to help your young child develop an understanding of number concepts – counting, comparing and ordering, recognizing written numerals, and beginning addition and subtraction. You may already be doing some of the activities found in this book, but this book lays out the content in a categorized fashion. There are seven chapters – counting to five, counting to ten, numbers from zero to five, numbers from six to ten, written numerals from 0 to 10, comparing quantities and numbers, and addition and subtraction stories. This isn’t a workbook, but a great resource for parents.

    Typically, you will be able to use these activities with a child who is about 4, but you know your child best and can begin when you believe they are ready. The author suggests that you do the activities in this book in the order they are presented, take as much time as needed with each, and a questionnaire at the end of each chapter will help you determine whether your child is ready to move on. Children may progress at different rates, so be patient as you work with your child. Most importantly, have fun while incorporating these activities into your child’s day. You don’t want them to hate math before they even get going strong. The activities use items from around your home or are easily accessible. You may want to put together a math basket with the following items: 20 small counters, resource pages from the back of the book, one nickel and ten pennies, blank paper and a writing tool. Additional items that may be used occasionally are: ten small toys, four stuffed animals, small blanket, two small paper bags, two regular dice, tape, two different small objects for game tokens, two different-coloring writing utensils, toy cups, plates, spoons, and play food items, dot stickers, small food items, large index cards, and small stickers.

    Use these simple activities to solidify your child’s math foundation and only spend a few minutes a day doing so. Get them ready for kindergarten math and have fun in the process. ~ Donna

  • Item #: 021558
    ISBN: 9781438007755
    Retail: $9.99
    Rainbow Price: $8.50

    Have you ever felt like learning Algebra is like trying to learn a strange new language? If so, this book will show you how to translate "Math Talk" into "Plain English". Easy to understand explanations, step-by-step examples, and common pitfalls and mistakes make this a great resource for first-time learners and reviewers alike. Topics covered include integers, solving single variable equations, solving inequalities, graphing linear equations and inequalities, exponents, roots and radicals, quadratic equations, and solving systems of equations. Several short "brain tickler" problem sets are interspersed throughout for practice. 350+ pgs., p/b ~ Anh

  • Item #: 018354
    Retail: $19.99
    Rainbow Price: $15.50

    Build a solid foundation for understanding fractions, decimals, and percents with Fraction Tower Cubes. This set contains 51 proportional cubes that snap together to form towers. All sets are color-coded according to their fractional values: 1, 1/2, 1/3, 1/4, 1/5, 1/6, 1/8, 1/10, 1/12. The Equivalency Set is a great value since it is a combination of all former individual sets (Fractions, Decimals, and Percents), displaying equivalent fractional, decimal, and percent values on each cube.

  • Item #: 014902
    ISBN: 9780671212094
    Retail: $16.99
    Rainbow Price: $11.95

    Why did nobody tell me about this book before now??? Even just the first few chapters lifted loads from my shoulders and helped me understand so much about my reading. Did you know that we read for three basic reasons? For entertainment, information and understanding. If reading for understanding is your goal, the author of this book will take you by the hand and open the world of books up for you. There are levels to reading which you will learn about: elementary (basic reading), inspectional (skimming systematically), analytical (best and most complete reading given an unlimited amount of time), and syntopical (comparative reading through many different sources). While focusing mainly on analytical reading, this book will encourage you to take your reading level beyond elementary, (which is where many people are stuck), and to progress on to the fantastic and ever so rewarding heights of the higher levels of reading. Then be taught techniques to reading different types of books including practical books, imaginative literature, plays, poetry, history, science, mathematics, philosophy and social sciences. Included in Appendix A is a list of recommended reading books. I would buy the whole book just for this list; it is that helpful! While moms and dads will also want to read this book, I think it will be particularly helpful for teens as well. Progressing through high school, studying for exams, getting my teeth into classics and learning about things which interest me would all have been enhanced had I read this book long ago! This 1940 classic by Mortimer Adler and Charles Van Doren is now brought to you in a revised, updated, and expanded version. Enjoy and be stretched! 426 pgs, pb. ~ Genevieve

  • Item #: 003669
    Retail: $0.00
    Rainbow Price: $11.75

       Student Workbook C is intended for 5th grade and includes 49 lessons that cover recognizing fractions and equivalent fractions, adding and subtracting fractions with different denominators and mixed fractions, solving word problems that involve fractions, understanding fractional relationships, expressing word problems as equations, multiplying and mentally multiplying a fraction by a fraction, finding the area of a rectangle with a fractional side, and understanding division of fractions.

  • Item #: 072100
    ISBN: 9781892083203
    Retail: $22.99
    Rainbow Price: $18.75

  • Item #: 072050
    ISBN: 9789814736336
    Retail: $0.00
    Rainbow Price: $9.90

      For those looking for extra practice specifically using the Singapore methodology, this series can be used to supplement any Singapore Math curriculum and is aligned to Singapore Math for US Standards. Each level includes five types of activities or exercises. Fact Builders offer practice with specific strategies for understanding concepts, Fact Strategy Practice helps students identify and apply strategies, Apply and Build Knowledge incorporates real-world problems, Writing About Math gives opportunity for students to discover and make connections, and Challenge Questions prepare for the next step in learning. These books are black and white with plenty of space for writing; instruction is minimal since these are intended for practice and reinforcement. Answer Keys aren’t included in the books; however, instructions are found in the front of each book for downloading a free answer key (PDF) at the publisher’s website (http://www.mceducation.us/resources). At the grade K and 1 levels, the answer keys also include a bit of instruction that may be helpful in implementing some of the activities. Help your students become fluent using the Singapore Math methodology. The books vary in length. pb. ~ Donna   

  • Item #: 072049
    ISBN: 9789814736381
    Retail: $0.00
    Rainbow Price: $9.90

        For those looking for extra practice specifically using the Singapore methodology, this series can be used to supplement any Singapore Math curriculum and is aligned to Singapore Math for US Standards. Each level includes five types of activities or exercises. Fact Builders offer practice with specific strategies for understanding concepts, Fact Strategy Practice helps students identify and apply strategies, Apply and Build Knowledge incorporates real-world problems, Writing About Math gives opportunity for students to discover and make connections, and Challenge Questions prepare for the next step in learning. These books are black and white with plenty of space for writing; instruction is minimal since these are intended for practice and reinforcement. Answer Keys aren’t included in the books; however, instructions are found in the front of each book for downloading a free answer key (PDF) at the publisher’s website (http://www.mceducation.us/resources). Help your students become fluent using the Singapore Math methodology. The books vary in length. pb. ~ Donna   

  • Item #: 072047
    ISBN: 9789814736367
    Retail: $0.00
    Rainbow Price: $9.90

        For those looking for extra practice specifically using the Singapore methodology, this series can be used to supplement any Singapore Math curriculum and is aligned to Singapore Math for US Standards. Each level includes five types of activities or exercises. Fact Builders offer practice with specific strategies for understanding concepts, Fact Strategy Practice helps students identify and apply strategies, Apply and Build Knowledge incorporates real-world problems, Writing About Math gives opportunity for students to discover and make connections, and Challenge Questions prepare for the next step in learning. These books are black and white with plenty of space for writing; instruction is minimal since these are intended for practice and reinforcement. Answer Keys aren’t included in the books; however, instructions are found in the front of each book for downloading a free answer key (PDF) at the publisher’s website (http://www.mceducation.us/resources). Help your students become fluent using the Singapore Math methodology. The books vary in length. pb. ~ Donna   

  • Item #: 072046
    ISBN: 9789814736350
    Retail: $0.00
    Rainbow Price: $9.90

       For those looking for extra practice specifically using the Singapore methodology, this series can be used to supplement any Singapore Math curriculum and is aligned to Singapore Math for US Standards. Each level includes five types of activities or exercises. Fact Builders offer practice with specific strategies for understanding concepts, Fact Strategy Practice helps students identify and apply strategies, Apply and Build Knowledge incorporates real-world problems, Writing About Math gives opportunity for students to discover and make connections, and Challenge Questions prepare for the next step in learning. These books are black and white with plenty of space for writing; instruction is minimal since these are intended for practice and reinforcement. Answer Keys aren’t included in the books; however, instructions are found in the front of each book for downloading a free answer key (PDF) at the publisher’s website (http://www.mceducation.us/resources). Help your students become fluent using the Singapore Math methodology. The books vary in length. pb. ~ Donna