Singapore Math Dimensions Math Teaching Notes and Textbook Solutions 7B

Dimensions Math® Textbook 7BChapter 9: Number Patterns 9.1 Number Patterns and Sequences9.2 General Term of a Sequence A. General TermB. Application of Number Patterns In A NutshellExtend Your Learning CurveWrite In Your JournalChapter 10: Coordinates and Linear Graphs 10.1 Cartesian Coordinate System10.2 Linear Graphs10.3 Slopes of Linear Graphs A. Positive SlopesB. Negative SlopesC. Special Cases In A NutshellExtend Your Learning CurveWrite In Your JournalChapter 11: Inequalities 11.1 Solving Simple Inequalities A. Idea of InequalitiesB. Solving an Inequality 11.2 More Properties of Inequalities11.3 Simple Linear Inequalities11.4 Application of Simple Inequalities In A NutshellExtend Your Learning CurveWrite In Your JournalChapter 12: Perimeters and Areas of Plane Figures 12.1 Perimeters and Areas of a Square, a Rectangle, and a Triangle12.2 Circumference and Area of a Circle12.3 Area of a Parallelogram12.4 Area of a Trapezoid12.5 Perimeters and Areas of Composite Plane Figures In A NutshellExtend Your Learning CurveWrite In Your JournalChapter 13: Volumes and Surface Areas of Solids 13.1 Volumes and Total Surface Areas of a Cube and a Cuboid A. Nets of Cube, Cuboid, and Other PrismsB. CubeC. Cuboid 13.2 Volume and Total Surface Area of a Prism A. PrismB. Volume of PrismC. Surface Area of Prism 13.3 Volumes and Surface Areas of Composite Solids A. Conversion between Different UnitsB. Composite Solids In A NutshellExtend Your Learning CurveWrite In Your JournalChapter 14: Proportions 14.1 Scale Drawing14.2 Map Scale and Calculation of Area A. Map ScaleB. Calculation of Area 14.3 Direct Proportion14.4 Inverse Proportion In A NutshellExtend Your Learning CurveChapter 15: Data Handling 15.1 Collection of Data15.2 Dot Plots15.3 Measure of Center: Mean A. Measure of CenterB. MeanC. Using Mean to Compare Two PopulationsD. Variation from the Mean 15.4 Measure of Center: Median15.5 Mode A. Definition of ModeB. Comparison between Mean, Median, and Mode In A NutshellExtend Your Learning CurveWrite In Your JournalChapter 16: Probability of Simple Events 16.1 Set Notation A. SetsB. Equal SetsC. SubsetsD. Universal Set and Empty SetE. Complement of a Set 16.2 The Meaning of Probability A. IntroductionB. Terms and Definitions 16.3 Sample Space A. Sample SpaceB. Basic Properties of Probabilities In A NutshellExtend Your Learning CurveWrite In Your JournalChapter 17: Probability of Combined Events 17.1 Probability of Simple Combined Events A. Possibility DiagramB. Tree Diagram 17.2 The Meaning of Probability17.3 Independent Events17.4 Further Probabilities In A NutshellExtend Your Learning CurveWrite In Your JournalAnswers  Click here to view Dimensions Math® Teaching Notes and Solutions 7B 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.