Hands vs Math Galaxy 8th Grade Math

"Great intro to Algebra!" This Hands-On Equations Level 3 app is intended for students who have already completed Level 1 and 2 of Hands-On Equations and who would like the challenge of more sophisticated equations involving negative numbers. In Level 3, the student solves equations such as 4x – (-4) = -8 and 3(-x) + 2 = -10 + x, which contain negative constants. The green numbered cube, which represents the opposite of the red numbered cube, is introduced at this level. Since the red and green number cubes are opposite of each other, when they are together on the same side of the balance, their value is zero and may therefore be removed without affecting the balance. A video introduction is provided for each lesson. (See the sample YouTube video at http://youtu.be/VFYQ47EAqZw.) Each video introduction is followed by two examples and ten exercises. It is essential for the student to view the lesson video prior to attempting the examples and exercises for that lesson. Hands-On Equations is the ideal introduction to algebra for elementary and middle school students. Not only will students have fun and be fascinated with the program, their sense of self-esteem will be dramatically enhanced as they experience success with sophisticated algebraic equations. High school students struggling with algebra will likely experience success and understanding for the first time as they work with this app. More information on Hands-On Equations can be found at www.borenson.com and on YouTube.

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