Singapore Math Dimensions Math Textbook 7A

Dimensions Math® Textbook 7AChapter 1: Factors and Multiples 1.1 Factors and Multiples A. FactorsB. Multiples 1.2 Prime Factorization and Exponential Notation A. Prime FactorizationB. Exponential Notation 1.3 Greatest Common Factor (GCF)1.4 Least Common Multiple (LCM)1.5 Square Roots and Cube Roots A. Square RootsB. Cube Roots In A NutshellExtend Your Learning CurveWrite In Your JournalChapter 2: Real Numbers 2.1 Idea of Negative Numbers and the Number Line A. Negative NumbersB. The Number LineC. Absolute Value 2.2 Addition and Additive Inverse A. Addition of IntegersB. Additive Inverse 2.3 Subtraction and Absolute Value of the Difference A. Subtraction of IntegersB. Absolute Value of the Difference 2.4 Multiplication, Division, and Combined Operations of Integers A. Multiplication of IntegersB. Division of IntegersC. Combined Operations of Integers 2.5 Rational Numbers A. DefinitionB. Addition and Subtraction of Rational NumbersC. Multiplication and Division of Rational Numbers 2.6 Real Numbers and Use of Calculators A. Real NumbersB. Use of Calculators 2.7 Rounding Numbers to Decimal Places A. Idea of RoundingB. Rounding Numbers to Decimal Places In A NutshellExtend Your Learning CurveWrite In Your JournalChapter 3: Introduction to Algebra 3.1 The Use of Letters in Algebra A. The Use of LettersB. Basic Notations in AlgebraC. Exponential Notation 3.2 Evaluation of Algebraic Expressions and Formulas A. Evaluation of Algebraic ExpressionsB. Formulas 3.3 Writing Algebraic Expressions to Represent Real-world Situations In A NutshellExtend Your Learning CurveWrite In Your JournalChapter 4: Algebraic Manipulation 4.1 Like Terms and Unlike Terms4.2 Distributive Law, Addition and Subtraction of Linear Algebraic Expressions A. Use of ParenthesesB. Addition and Subtraction of Linear Algebraic Expressions 4.3 Simplification of Linear Algebraic Expressions4.4 Factorization by Extracting Common Factors4.5 Factorization by Grouping Terms In A NutshellExtend Your Learning CurveWrite In Your JournalChapter 5: Simple Equations in One Variable 5.1 Simple Linear Equations in One Variable5.2 Equations Involving Parentheses5.3 Simple Fractional Equations5.4 Forming Linear Equations to Solve Problems In A NutshellExtend Your Learning CurveWrite In Your JournalChapter 6: Ratio, Rate, and Speed 6.1 Ratios Involving Rational Numbers A. Meaning of RatioB. Simplification of RatiosC. Ratio of Three QuantitiesD. Problems Involving Ratios 6.2 Average Rate6.3 Speed A. Uniform Speed and Average SpeedB. Conversion of Units In A NutshellExtend Your Learning CurveChapter 7: Percentage 7.1 Meaning of Percentage A. IntroductionB. Expressing One Quantity as a Percentage of Another 7.2 Reverse Percentages7.3 Percentage Increase and Decrease A. Percentage IncreaseB. Percentage Decrease 7.4 Discount and Sales Tax A. DiscountB. Sales Tax In A NutshellExtend Your Learning CurveWrite In Your JournalChapter 8: Angles, Triangles, and Quadrilaterals 8.1 Points, Lines, and Planes8.2 Angles A. Angles and MeasurementsB. Types of AnglesC. Complementary, Supplementary, and Adjacent AnglesD. Properties of Angles 8.3 Perpendicular Bisectors and Angle Bisectors A. Use of CompassesB. Perpendicular BisectorsC. Angle Bisectors 8.4 Triangles A. Classification of TrianglesB. Construction of Triangles 8.5 Quadrilaterals A. Types of QuadrilateralsB. Properties of Special QuadrilateralsC. Construction of Quadrilaterals In A NutshellExtend Your Learning CurveWrite In Your JournalAnswers Note: The answer key in the first printing of Textbook 7A has some errors in it. Please download revised key from here. Please note that not all the answers are incorrect in the first printing answer key, and incorrect answers are highlighted in this corrected answer key. We apologize for the inconvenience caused. Click here to view Dimensions Math® Textbook 7A samples.    Dimensions Math® G6-8 Textbooks are designed for middle school students. Developed in collaboration between Star Publishing and Singapore Math Inc®, this series follows the Singapore Mathematics Framework and covers the topics in the Common Core State Standards.The emphasis of this series is on empowering the students to learn mathematics effectively and independently. Depending on the topics covered, different approaches are adopted for the presentation of concepts to facilitate easy understanding by students to internalize concepts and instill in them an interest to explore the topics further.Each book includes appropriate examples, class activities and diagrams to understand the concepts and apply them. IT skills and values are incorporated as appropriate. Some features of this series include the following: Class activities which allow the student to learn mathematics through discovery. Some of the class activities make use of Geometer’s Sketchpad (available at keypress.com). Worked examples are followed by a similar question (Try It!) so that students can check if they have understood the concepts presented earlier. An exercise for each lesson including questions in the following sequence: Basic Practice (simple questions involving a direct application of the concepts) Further Practice (more challenging questions on direct application) Maths@Work (questions that apply mathematical concepts to real-life situations) Brainworks (questions involving higher order thinking or an open-ended approach to problems) Each chapter is followed by a review exercise; the Extend Your Learning Curve activity encourages students to explore mathematical concepts further or apply mathematics in real-life situations, with some questions requiring sentence or paragraph answers to encourage students to reflect on their learning experiences. The right margins contain remarks on important information, concepts or definitions covered earlier related to the current material to help students recall them, discussion questions, interesting puzzles or facts that are related to mathematics, and some website references. The answer key at the back of the book provides answers to the Try It! and the problems in the exercises for the Basic Practice, Further Practice, and Maths@Work questions. It does not include answers to the class activities or the Extend Your Learning Curve activities.