Math Galaxy 8th Grade Math vs Mental Abacus Book 3

In eighth grade math the emphasis is on: (1) solving linear equations and systems of linear equations, (2) functions, and (3) geometric transforms, congruence, similarity and Pythagoras. Math Galaxy’s Eighth Grade Math covers all of the Common Core math standards for eighth grade as listed below. The concepts are presented in bite-size pieces with an unlimited supply of practice problems, with numbers chosen randomly. Illustrations are used throughout to reinforce the concepts. You can be guided through problems step-by-step or just give final answers. Certificates with scores can be emailed from final-answer mode to be printed. Topics covered are listed below along with their Common Core standard. More details on common core standards can be found at: http://www.corestandards.org/Math/ Includes Schoolwork support for teachers with Apple School Manager and iOS 11.3 or later. THE NUMBER SYSTEM (8.NS) Know that there are numbers that are not rational, and approximate them by rational numbers. Fractions as Repeating Decimals (8.NS.1) Converting Repeating Decimals to Fractions (8.NS.1) Identifying Rational Numbers (8.NS.1) Approximating Irrational Numbers (8.NS.2) EXPRESSIONS AND EQUATIONS (8.EE) Work with radicals and integer exponents. Understand the connections between proportional relationships, lines and linear equations. Analyze and solve linear equations and pairs of simultaneous linear equations. Exponents (8.EE.1) Operations with Exponents (8.EE.1) Roots (8.EE.2) Scientific Intuition (8.EE.3, 4) Scientific & Metric Notation (8.EE.3, 4) Scientific & Metric Operations (8.EE.3, 4) Order of Magnitude (8.EE.3, 4) Graphing Proportional Relationships (8.EE.5, 6) Graphing Intercepts (8.EE.7) Graphing Linear Equations (8.EE.7) One, Zero, or Infinite Solutions (8.EE.7) Equations with Unknown on Both Sides (8.EE.7) Equations with Parentheses (8.EE.7) Equations with Fractions or Decimals (8.EE.7) Systems of Equations (8.EE.8) Algebra Word Problems (8.EE.8) FUNCTIONS (8.F) Define, evaluate, and compare functions. Use functions to model relationships between quantities. Linear Equations (8.F.1, 3) Comparing Rates of Change (8.F.2) Slopes (8.F.4) Graphing from Slope-Intercept (8.F.4) Graphing from Point-Slope (8.F.4) Nonlinear Functions (8.F.5) GEOMETRY (8.G) Understand congruence and similarity. Translations (8.G.1) Reflections (8.G.1) Rotations (8.G.1) Dilations (8.G.1) Congruent Figures (8.G.2) Similar Figures (8.G.3, 4) Angles in Triangles Proof (8.G.5) Proof of Pythagorean Theorem (8.G.6) Pythagorean Problems (8.G.7, 8) Volume (8.G.9) STATISTICS AND PROBABILITY (8.SP) Investigate patters of association in bivariate data. Scatter Plots (8.SP,1, 2) Linear Models (8.SP.3) Two-Way Frequency Tables (8.SP.4) GAMES Labyrinth

Mental Abacus Book 3 is a bible on rapid calculations. It covers all kinds of vedic mathematics tricks for fast calculations. Book 1 introduces rapid calculations on addition and subtraction, while Book 3 mainly focuses on magic ways in solving multiplications. Abacus serves as an incredible tool in making everything easy and fast. Most important of all, all these methods help to activate and keep our brains shape. Further to Book 2, specific abacus pitfalls are included at the same time. As in the abacus series, Mental Abacus Book 3 is divided into two sections, namely Tutorial and Abaculator. ABACUS TUTORIAL Interfaces are organized in a simple and easy way as in the previous books. Rapid calculation techniques are explained not only in words, but also with sample questions. Numerous examples with demonstration will definitely further strengthen the study effectiveness. For Chapter 7 onwards, prerequisite knowledge of Book 2 is required. ABACULATOR A great tool that demonstrates the steps for BOTH hands abacus mental arithmetic. Just enter any multiplication equation, Abaculator will determine which rapid calculation method should be used, and show you every step with detailed description and explanation. You can pause and continue whenever you need, or even switch to show set of steps for other number or equation in the middle of the demonstration. And More...VIRTUAL ABACUS Built-in virtual abacus enables you to follow the lessons and practice the Two Hands Fingering Method on the abacus at the same time. You can try to solve the examples on the virtual abacus by yourself and check with the demonstration steps provided on the page as well. FEATURES SUMMARY: - All kinds of Rapid Calculations on Multiplication - Multiplicative Pithy Formula Tricks - Abacus Decimal Division - Rounding to the nearest hundredth Pitfall - Dealing with Negative Numbers on Abacus - Abaculator auto-determines the best rapid calculation method - Two hands fingering method fosters right brain functions - Virtual Abacus allows you to practise along everywhere - Assists in achieving the ultimate aim of abacus training, transforming visualized beads move on imaginary abacus and getting rid of the substantial abacus