Singapore Math Dimensions Math Teaching Notes and Textbook Solutions 8A

Dimensions Math® Textbook 8AChapter 1: Exponents and Scientific Notation 1.1 Positive Exponents and the Laws of Exponents1.2 Zero and Negative Integer Exponents 1.3 Fractional Exponents A. nth root of a Positive NumberB. Fractional Exponents 1.4 Comparing Exponents1.5 Scientific Notation A. Representation of Very Small or Very Large NumbersB. Computation 1.6 Rounding Numbers to a Specified Number of Significant Figures1.7 Estimations and Accuracy of Calculators A. EstimationsB. Estimation and Irrational NumbersC. Accuracy in Calculators In a Nutshell Review Exercise 1 Extend Your Learning CurveWrite In Your JournalChapter 2: Linear Equations in Two Variables 2.1 Linear Equations in Two Variables A. Review of Linear Equations in One VariableB. Meaning of Linear Equations in Two Variables 2.2 Solving Simultaneous Linear Equations in Two Variables using the Graphical Method2.3 Solving Simultaneous Linear Equations in Two Variables using the Substitution Method 2.4 Solving Simultaneous Linear Equations in Two Variables using the Elimination Method 2.5 Solving Problems using Simultaneous Equations In A NutshellReview Exercise 2Extend Your Learning CurveWrite In Your JournalChapter 3: Expansion and Factorization of Algebraic Expressions 3.1 Expansion of the Products of Algebraic Expressions A. Product of Single TermsB. Product of Two Expressions 3.2 Special Products More Properties of Inequalities3.3 Factorization by using Special Products of Algebraic Expressions In A NutshellReview Exercise 3Extend Your Learning CurveWrite In Your JournalChapter 4: Quadratic Factorization and Equations 4.1 Factorization of ax2 + bx +c A. x2 + bx + cB. ax2 + bx + c 4.2 Solving Quadratic Equations by Factorization4.3 Problem Solving Involving Quadratic Equations In A NutshellReview Exercise 4Extend Your Learning CurveWrite In Your JournalChapter 5: Simple Algebraic Fractions 5.1 Simplifying Simple Algebraic Fractions5.2 Multiplication and Division of Algebraic Fractions5.3 Addition and Subtraction of Algebraic Fractions5.4 Fractional Equations A. Solving Equations Involving Algebraic FractionsB. Problem Solving Involving Fractional Equations 5.5 More about Formulas A. Finding the Value of an Unknown Quantity in a FormulaB. Changing the Subject of a Formula In A NutshellReview Exercise 5Extend Your Learning CurveWrite In Your JournalChapter 6: Congruence and Reflections 6.1 Congruence and Reflections A. Congruent FiguresB. Reflections 6.2 Translations, Rotations and Combining Transformations A. TranslationsB. RotationsC. Combining Transformations 6.3 Similarity6.4 Enlargements and Similarity A. Scale FactorsB. Enlargements In A NutshellReview Exercise 6Extend Your Learning CurveWrite In Your JournalChapter 7: Parallel Lines and Angles in Triangles and Polygons 7.1 Angles formed by Parallel Lines and Transversals A. Angle PropertiesB. Parallel Lines and Transversals 7.2 Interior and Exterior Angles of a Triangle A. Angle Sum of a TriangleB. Exterior Angle of a Triangle 7.3 Angles Properties of Special Quadrilaterals7.4 Polygons A. Types of PolygonsB. Sum of Interior Angels of a PolygonsC. Sum of Exterior Angels of a Polygons In A NutshellReview Exercise 7Extend Your Learning CurveWrite In Your JournalAnswers Click here to view Dimensions Math® Teaching Notes and Solutions 8A 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.