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Mathematical Reasoning

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Items 1 - 30 of 62
  • Item #: 018306
    ISBN: 9780894558849
    Retail: $0.00
    Rainbow Price: $39.99
  • Item #: 018308
    ISBN: 9780894558856
    Retail: $0.00
    Rainbow Price: $39.99
    At such an early age, mathematical reasoning begins with simple activities such as distinguishing between even or odd amounts and learning the ordinal numbers. The authors suggest working through this activity book page by page. The content spirals, which gives your child time to "digest" new concepts before moving on to more complex material. This series is correlated to the NCTM standards and accordingly incorporates topics such as patterns, number lines, graphs, fractions, probability, and problem solving, as well as basic addition and subtraction skills. The full-color activity sheets should especially appeal to the younger student. Not only are the illustrations eye-catching, but they do an excellent job of demonstrating mathematical representations and relationships. Although manipulatives are not required, a link to a virtual manipulative website is provided in case additional concrete-level reinforcement is needed. A wide variety of exercises and activities are utilized to keep your child both interested and motivated. For instance, Thinker Doodles and Mind Benders activities from parent company Critical Thinking are scattered throughout. 200+ pages. ~ Anh
  • Item #: 013092
    ISBN: 9780894558863
    Retail: $0.00
    Rainbow Price: $32.99

  • Item #: 001760
    ISBN: 9780894555008
    Retail: $0.00
    Rainbow Price: $42.99
  • Item #: 013133
    ISBN: 9781601441614
    Retail: $0.00
    Rainbow Price: $42.99
  • Item #: 001439
    ISBN: 9781601446459
    Retail: $0.00
    Rainbow Price: $42.99
  • Item #: 025350
    ISBN: 9781601443144
    Retail: $0.00
    Rainbow Price: $42.99
  • Item #: 026718
    ISBN: 9781601442666
    Retail: $0.00
    Rainbow Price: $42.99
  • Item #: 013097
    ISBN: 9780894559037
    Retail: $0.00
    Rainbow Price: $34.99
  • Item #: 051050
    ISBN: 9781601446442
    Retail: $0.00
    Rainbow Price: $24.99
  • Item #: 060960
    ISBN: 9781419003752
    Retail: $10.73
    Rainbow Price: $4.95
  • Item #: 051051
    ISBN: 9781601444141
    Retail: $0.00
    Rainbow Price: $24.99
  • Item #: 051052
    ISBN: 9781601444158
    Retail: $0.00
    Rainbow Price: $24.99
  • 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 #: 060961
    ISBN: 9781419003851
    Retail: $12.07
    Rainbow Price: $7.50
  • 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 #: 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 #: 031017
    ISBN: 9781601449092
    Retail: $0.00
    Rainbow Price: $42.99

    For those using Mathematical Reasoning by Critical Thinking Company, here is the next step after finishing level G. Released in 2018, this course uses the same approach to help students apply reasoning and skill for higher level math. Understanding Pre-Algebra helps lay the foundation that will build confidence before going on to Algebra I.

      This book is standards-based and topics are organized logically. There are 15 chapters – Family of Numbers, Working with Integers, Working with Rational Numbers, Ratio/Proportion/Percent, Percent Applications, Algebraic Expressions, Equations and Solving Word Problems, Inequalities and Applications, Understanding Square Roots and Irrational Numbers, Two-Dimensional Geometry, Understanding Volume and Surface Area, Graphing on the Coordinate Plane, Transformations and Congruency, Understanding Functions, and Probability and Statistics. This is a reproducible, consumable workbook with plenty of white space for working problems.

      One of the program’s strengths is the abundance of word problems. These are taught using charts and tables, which offer visuals to help students interpret the problem. Chapters are divided into concepts (each is typically 2 pages); cover one concept a day in order to work through the book in one school year. Each concept begins with an explanation or definition; colored sample boxes offer visual instruction or explanation, followed by an exercise or practice. Every chapter is finished out with a Chapter Review, which could be used as a test. Chapter Reviews aren’t cumulative but a review of that chapter only.

      Some helpful resources included are a glossary of important math vocabulary, a list of formulas, table of square roots, and answers to the exercises with explanations for some of the more difficult problems. A two-part final exam is also included, which covers all material in the book.

      Prepare your student for high school math and standardized testing with the logical, thorough approach found in Understanding Pre-Algebra. 442 pgs, pb. ~ Donna

  • Item #: 020294
    ISBN: 9780740338076
    Retail: $56.95
    Rainbow Price: $51.26

    Designed for use as a basic math refresher, remedial practice, or for accelerated learners, this elective course does not have a prerequisite. It contains seven units including: statistics, data analysis, probability, algebraic functions, measurement, geometry, mathematical reasoning and algebra I. Now comes in USB flash drive format. System requirements: Windows 7/ Windows 8 & 8.1 / Windows 10; printer recommended.

  • Item #: 051462
    Retail: $204.40
    Rainbow Price: $184.95

    Students will multiply and divide using whole numbers and decimals. They solve equations and problems using fractions and mixed numbers. Study of geometric formulas, data analysis and mathematical reasoning is included. Students will work with percent, ratios, and proportions. Probability and statistics is studied using data analysis and estimation. Geometry, symmetry and spatial relationships are taught.

  • Item #: 010769
    ISBN: 9780012066836
    Retail: $50.00
    Rainbow Price: $45.00

    Division (review of long and short hand methods), fractions (addition & subtraction with mixed numbers, multiplying and dividing fractions, solving fraction word problems), decimals (up to thousandths, parts of a dollar, adding & subtracting, multiplying & dividing, word problems, computational problems), ratios, proportions, & percentages (relationships, equivalence, ratios and triangles, the percent as a special ratio), algebraic relationships (order of operations, introducing a variable, writing equations, introducing negative numbers) and mathematical reasoning.

  • Item #: 061277
    ISBN: 9781438005379
    Retail: $7.99
    Rainbow Price: $6.95
  • Item #: 061278
    ISBN: 9781438005393
    Retail: $7.99
    Rainbow Price: $6.95
  • Item #: 019797
    ISBN: 9781524757922
    Retail: $23.00
    Rainbow Price: $15.95

  • Item #: 061279
    ISBN: 9781438005386
    Retail: $7.99
    Rainbow Price: $6.95
  • Item #: 006150
    ISBN: 9781601445780
    Retail: $0.00
    Rainbow Price: $32.99

      This colorful, straightforward instructional workbook from The Critical Thinking Company eliminates much of the “stuff” and the “fluff” found in many other phonics and early reading programs and focuses on individual letter sounds and how they are represented as letters. You won’t find pages of teacher tips and background here, just one introductory page and one teaching suggestion page, and then you’re off and running to the activities. Similar in format to Mathematical Reasoning, Fun-Time Phonics is softcover, with several exercises per activity page, brief instructions to the teacher, and full-color illustrated graphics.

      There are 100 activities, or short lessons, in the book. The first seven lay the foundation by asking the student to identify beginning sounds, ending sounds, and rhyming words. Activities 6 and 7 challenge them to identify the three letter sounds in a word and to match that with the correct picture. Starting in Activity 8, students learn the short vowel sounds and identify pictures of words that contain that sound. Before moving on to the consonant sounds, students complete activities such as identifying a word out of a set of three that includes a different vowel sound than the other two, or swapping out one vowel sound for another in a word to create a new word. After students learn the five short vowel sounds, they learn the written vowel letters. One feature in the vowel portion of the book that threw me for a loop, however, was the depiction of a short ‘/ǎ/’ sound as ‘/ah/’ next to words like, “cat.” Most phonics programs are quite clear to teachers to take care when pronouncing the vowel and consonant sounds to not include other sounds (say ‘/b/,’ not ‘/buh/’). At first glance, you will want to read the ‘/ah/’ as the /a/ in “father.” Personally, I would probably just ignore these additional ‘h’s or cross them out and add a short vowel symbol as a reminder. Fortunately, as these only occur on the teacher instructions, it shouldn’t confuse your students as long as your pronunciation is clear. Lesson 20 moves on to consonant sounds, starting with ‘b’ and moving alphabetically through ‘z.’ As children learn each consonant, the consonant sound is blended with each of the short vowels, so they are learning to distinguish ‘da,’ ‘de,’ ‘di,’ ‘do,’ and ‘du’ with the letter D right off the bat. This may be a real benefit to students who are confused about how to blend the individual letter sounds together after learning them in isolation. The last five lessons ask the student to connect a picture with the beginning letters, ending letters and middle vowel wounds, stressing the letter representation of the sound. The last two activities ask children to read three-letter CVC words and identify a matching picture. At the end of the book you’ll find a double-sided sheet with short-vowel words that children should be able to decode at this point, such as ‘doll, ‘hen’ and ‘yum.’

      This approach would work well with logical children who do not need additional reinforcement activities or motivators in the form of games or songs. It may also work well for remedial students, or those who did not learn phonics initially. It’s simple to teach, but with an emphasis on identifying letter sounds, you will want to work apart from other distractions and enunciate the words very clearly as you work through the pages with your student.  Although students are led to associate the written letters with the sounds, there are no writing activities featured in the book. However, it is suggested in the beginning that if the student is older or able to write, you may consider having them write the answers under the exercises. For additional enforcement (and writing activities) you might consider a workbook like Explode the Code Book 1. You may also want to note that no sight words are covered in this volume. If you want to jump ahead to some very basic short-vowel readers, you will need to introduce any sight words in that reader. I’m assuming that a second book will be released as a follow-up which will introduce long vowel sounds. The book is reproducible for your student/classroom use, which makes an affordable resource even more budget-friendly if you use it with multiple children. 314 pages, pb. - Jess

  • Item #: 044473
    ISBN: 9781596471269
    Retail: $24.95
    Rainbow Price: $9.95
  • Item #: 011552
    ISBN: 9780740337659
    Retail: $99.95
    Rainbow Price: $89.96
    Pre-Algebra. Units: The Real Number System; Modeling Problems in Integers; Modeling Problems with Rational Numbers; Proportional Reasoning; More with Functions; Measurement; Plane Geometry; Measures of Solid Figures; Data Analysis; Probability; and Course Review & Exam.
  • Item #: 013785
    ISBN: 9780740331909
    Retail: $79.95
    Rainbow Price: $71.96
    Lifepac Set plus Teacher's Manual. Pre-Algebra - Real Number System, Modeling Problems in Integers, Modeling Problems with Rational Numbers, Proportional Reasoning, More with Functions, Measurement, Plane Geometry, Measures of Solid Figures, Data Analysis, Probability.
  • Item #: 013787
    ISBN: 9780740331787
    Retail: $69.95
    Rainbow Price: $62.96
    Lifepac Set only - No Teacher's Manual. Pre-Algebra - Real Number System, Modeling Problems in Integers, Modeling Problems with Rational Numbers, Proportional Reasoning, More with Functions, Measurement, Plane Geometry, Measures of Solid Figures, Data Analysis, Probability.