7th Grade Math vs AhaMath

"The French mathematician Jacques S. Hadamard found, in a study of 100 leading mathematicians [including Einstein], that the majority of them were primarily visual in their approach." Scientific American, Sept., 1984, p. 56. In seventh grade math the emphasis is on: (1) ratios & proportions, (2) rational and signed numbers, (3) linear equations, (4) scale drawings, area, surface area and volume, and (6) statistical thinking. Math Galaxy’s Seventh Grade Math covers all of the Common Core math standards for seventh 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 are guided through problems step-by-step or can just give final answers. Scores can be emailed to be printed. Doing problems earns you robots for the Labyrinth, a maze search game. Incorporates Schoolwork for classroom management. RATIOS and PROPORTIONAL RELATIONSHIPS (7.RP) Analyze proportional relationships and use them to solve real-world and mathematical problems. Ratios & Proportions Understanding Ratios (7.RP.1, 2b) Determining if Proportional (7.RP.2a, 2c) Ratios on Graphs (7.RP.2b, 2d) Rates (7.RP.2b, 2d) Proportions (7.RP.2c) Review Converting Units (7.RP.2c) Converting Units (7.RP.2c) Percents (7.RP.3) An Explanation of Percents Percents & Decimals Fractions, Decimals, Percents Review Percent Word Problems Finding %, Part, Whole Percent Word Problems RATIONAL NUMBERS (7.NS) Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers. Operations with Signed Numbers (7.NS.1) Add & Subtract Rational Numbers (7.NS.1c) Negative # Word Problems (7.NS.3) Converting Fractions to Decimals (7.NS.2d) Add & Subtract Fractions (7.NS.1) Multiply & Divide Fractions (7.NS.2) Fraction Word Problems (7.NS.3) EXPRESSIONS and EQUATIONS (7.EE) Use properties of operations to generate equivalent expressions. Solve real-life and mathematical problems using numerical and algebraic expressions and equations. Simplifying Algebraic Expressions (7.EE.1) Translating to Algebra (7.EE.2) Linear Expressions (7.EE.2) 2-Step Equations (7.EE.3, 4a) Equations with Fractions or Decimals (7.EE.3, 4a) Equations with Distributive Property (7.EE.3, 4a) 2-Step Inequalities (7.EE.4b) Linear Equation Word Problems (7.EE.3, 4a) Inequality Word Problems (7.EE.4b) GEOMETRY (7.G) Draw, construct, and describe geometric figures and describe the relationships between them. Solve real-life and mathematical problems involving angle measure, area, surface area, and volume. Scale Drawings (7.G.1) Constructing Figures (7.G.2) Slicing 3D Figures (7.G.3) Area Review (7.G.4) Area & Perimeter (7.G.6) Complex Areas (7.G.6) Surface Area with Nets (7.G.6) Volume Review (7.G.6) Volume (7.G.6) Lines, Angles & Polygons (7.G.5) STATISTICS and PROBABILITY (7.SP) Use random sampling to draw inferences about a population. Draw informal comparative inferences about two populations. Investigate chance processes and develop, use, and evaluate probability models. Sampling Populations (7.SP.1) Population Inferences (7.SP.2) Box-and-Whisker Plots (7.SP.2) Comparing Populations (7.SP.3, 4) Probability (7.SP.6, 7) Compound Events (7.SP.8)

Stop memorising formulas. Start seeing why they work. Most maths apps give you a problem and check your answer. This app shows you the maths — with rich, interactive animations that break every concept down visually, step by step. Watch a circle split into sectors and rearrange into a rectangle to reveal why area = πr². See a tangent line slide along a curve to show what a derivative really means. Follow vectors as they add tip-to-tail on a coordinate plane. Every animation is designed to build genuine understanding, not just drill answers. TOPICS COVERED • Arithmetic — addition, subtraction, multiplication, division • Fractions — equivalences, simplifying, finding missing values • Algebra — one-step and two-step equations, simultaneous equations, factorising, completing the square, quadratic formula, geometric sequences • Geometry — perimeter, area, Pythagoras, circles, surface area, volume, similarity • Trigonometry — SOHCAHTOA, sine rule, cosine rule • Functions — evaluation, composition, slope, inverses, exponential growth • Calculus — derivatives, integrals, related rates, optimisation, Simpson's rule • Statistics — mean, median, range, IQR, normal distribution • Probability — basic probability, complements, independence, expected value, permutations, combinations • Vectors — magnitude, scalar multiplication, addition, dot product, unit vectors • Complex Numbers — powers of i, conjugates, modulus, polar form, Argand diagrams • Physics Foundations — speed, momentum, acceleration, force, work, projectile motion WHAT MAKES IT DIFFERENT ◆ 30+ interactive animations that visually prove why each concept works ◆ Unlimited practice with dynamically generated questions — you will never see the same problem twice ◆ Step-by-step worked solutions and contextual hints for every question ◆ Three difficulty levels per topic so you can build confidence before pushing further ◆ Clean, focused design — no ads, no distractions WHO IS IT FOR Whether you are a student working through school maths, preparing for exams, or an adult refreshing your skills — the visual approach helps concepts stick in a way that textbooks cannot match. Built by someone who believes maths should make sense, not just be memorised.