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Understanding Mathematics

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  • 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: $765.88
    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 #: 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 #: 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   

  • 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 #: 072045
    ISBN: 9789814736343
    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 #: 066816
    Retail: $14.95
    Rainbow Price: $12.95

  • 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 #: 023426
    ISBN: 9781619991163
    Retail: $39.95
    Rainbow Price: $15.95
  • 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 #: 023427
    ISBN: 9781619991156
    Retail: $24.95
    Rainbow Price: $9.95
  • Item #: 067718
    ISBN: 9781683440376
    Retail: $260.96
    Rainbow Price: $179.95

  • Item #: 067269
    ISBN: 9781438006789
    Retail: $12.99
    Rainbow Price: $10.50

  • Item #: 064908
    Retail: $31.99
    Rainbow Price: $17.95

       Understanding fractions is often one of the toughest concepts for children to conquer. Sure, they pick up halves, quarters and wholes easily, but transferring that understanding to numbers larger than 1 often presents a challenge. This vital set builds upon children’s basic understanding and teaches them how to work out the fractional part of any given quantity. For example, find 3/4 of 20 or 4/6 of 30. Best of all, it does not ‘tell them’ how to solve the fractional equation, rather it shows them how and gives them opportunities to master the concept through hands on activities! Set includes color coded foam shapes to make 5 polygons: circle, rectangle, square, pentagon and hexagon. Five foam dice are color coded to match polygons; 20 fraction cards (1/2 -6/6) and 36 plastic pegs are included. The enclosed instruction pamphlet provides 3 levels of guidance. In stage 1, Understanding Basic Fractions, children use cards and polygons to solidify basic understanding. In Stage 2, Fractions of Quantities, children use fraction cards, die and polygon to solve equations involving fractional quantities. Stage 3 summarizes Support and Reinforcement. Excellent resource to help children “see’ and master fractional quantities. Cardboard box for storage included. ~ Deanne

  • Item #: 060832
    Retail: $6.95
    Rainbow Price: $5.75

    Set of cards showing ten-frames representing from zero up to the number 50 engages children in game play, helps them understand and practice two-digit addition and subtraction, see number structures and develop fluency. Free activities are available on the publisher web site. Cards start with one ten frame and range to 5 total. For self-checking, flip over to see the numbers on the back. A card with directions for two different games is included (2-4 players or two teams). ~ Ruth

  • Item #: 060818
    ISBN: 9781601448866
    Retail: $0.00
    Rainbow Price: $39.99

    The word 'Algebra' can strike fear into the hearts of many, but Critical Thinking Press has done their part to calm your math nerves and prepare students for higher level math in Understanding Algebra. The newest member of the Mathematical Reasoning line is a full one year algebra course for students at the junior high and high school level in a consumable format.

    The information in this worktext is a user-friendly format and presented in a step-by-step fashion. The text makes a connection between the arithmetic of the elementary years to the algebra they need to succeed in high school math. Twelve chapters begin with the basics and build upon each other Our number system, Evaluating Expressions and Solving Equations, From Words to Algebra/Translating and Solving Word Problems, From Words to Algebra/More Word Problems, Inequalities, Polynomials, Factoring, Working with Radicals, Linear Functions, Systems of Equations and Inequalities, Other Types of Functions, and Working with Algebraic Fractions.

    The author begins the book with a simple explanation of "What is Algebra," and then jumps right in. Each chapter is 20 to 30 pages in length and broken into topics. Each topic or lesson offers the student explanations and examples in a very visual fashion. Colored charts, illustrations, and graphs are incorporated for clarity of explanations. Within the lessons, students will be asked questions to assure they know the concept being presented and a 'more practice' section rounds out the lesson. Sets of 'Enrichment Problems' are scattered throughout the chapters to offer additional practice in higher-order thinking using plenty of word problems. There are no chapter tests in this book, so you would need to assess your student's understanding of the concepts by other means grades from the practice sets and exercises might be your best tool for assessment.

    New for the 2017 edition are chapter reviews covering and a final exam.

    A glossary that includes algebra vocabulary and an answer key are found at the back of the book. These are answers and not solutions. A helpful reference page is included. Students will learn about the history of math as they learn math strategies to help them with algebra and beyond. 378 pgs. pb. Reproducible for home and single classroom use. ~ Donna

  • Item #: 058386
    ISBN: 9781936981540
    Retail: $0.00
    Rainbow Price: $28.95

    Topics in this book include learning numbers, understanding the meaning of numbers, transitioning from visual to symbolic and mastering
    computation to 10. Loosely scripted, each topical area includes goals, manipulative lists, activity/ game instructions, and reproducible activity
    pages. Answer Keys and Classroom Records are included. Suggested hands-on manipulatives utilize commonly found item

  • Item #: 050126
    Retail: $9.45
    Rainbow Price: $8.75

    Teach shapes and reinforce geometric understanding with these smooth, hardwood solids. Set of 12 includes cone, sphere, cube, cylinders, pyramid, prisms, hemisphere, and rectangular solids. Pieces range from 1.5" to 3".

  • Item #: 045682
    ISBN: 9781465444585
    Retail: $6.99
    Rainbow Price: $5.25

  • 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 #: 004371
    Retail: $9.95
    Rainbow Price: $8.95

    A great complement to the hundred number chart, these quality plastic tiles were one of Mark's favorite math manipulatives when he was learning to count to 100. Sorting them into stacks of 10 helped him understand the concept of place value. Turning random tiles upside down helped him learn "What's between ___ and ___?". Tiles are the right size to fit in the squares on the hundred number chart. "Dad, can we use the tiles today?"

  • 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 #: 021659
    ISBN: 9780881063264
    Retail: $7.95
    Rainbow Price: $5.95

    Money can be a little bit of a confusing concept for little kids - after all, why is one silver coin that weighs less worth ten copper coins? This book's colorful pages and catchy rhymes are ideal for explaining change to kids. Starting with pennies and five pennies equal to a nickel, your children will understand how coins work and how their values compare. Of course, once they understand, they won't be so easily bribed with pennies anymore... ~ Steph

    Please see description in Time - Workbooks.