Topics Covered: Advanced Number Theory Divisibility rules and remainders GCD and LCM applications Modular arithmetic basics Arithmetic Tricks and Mental Math Fast calculations Estimation strategies Pattern recognition Algebra Foundations Simplifying expressions Multi-step equations and inequalities Application-based algebra problems Proportional Reasoning Complex ratios Mixture and dilution problems Direct and inverse variation Percent Applications Successive percentages Profit, loss, discounts Percent increase/decrease problems Geometry Problem Solving Area and perimeter puzzles Geometric transformations Angle chasing and triangle properties Coordinate Geometry Points, lines, and distances on a grid Midpoints and slope Geometric interpretation of algebra Combinatorics & Counting Fundamental counting principle Permutations and combinations basics Casework and logical enumeration Introductory Probability Basic probability Experimental vs theoretical probability Compound events and fairness Logic, Reasoning, and Puzzles Deductive reasoning Math-based riddles and puzzles Venn diagrams and truth tables

With a team of extremely dedicated and quality lecturers Pre-Algebra is the first math course in high school and will guide you through among other things integers, one-step equations, inequalities and equations, graphs and functions, percent, probabilities. Topics covered are: Factors and multiples: Factors and multiples; Prime and composite numbers: Factors and multiples; Prime factorization; Math patterns: Patterns; Writing expressions: Patterns; Number patterns; Introduction to ratios: Ratios and rates; Equivalent ratios: Ratios and rates; Visualize ratios: Ratios and rates; Ratio application: Ratios and rates; Introduction to rates; Intro to percents: Percentages; Percent, decimal, fraction conversions: Percentages; Percent problems: Percentages; Percent word problems; Exponents: Exponents intro and order of operations; Order of operations; Parts of algebraic expressions: Variables & expressions; Substitution & evaluating expressions: Variables & expressions; Expression value intuition: Variables & expressions; Evaluating expressions word problems: Variables & expressions; Writing algebraic expressions introduction: Variables & expressions; Writing basic algebraic expressions word problems: Variables & expressions; Distributive property with variables: Variables & expressions; Combining like terms: Variables & expressions; Equivalent expressions; Algebraic equations basics: Equations & inequalities introduction; One-step equations intuition: Equations & inequalities introduction; One-step addition & subtraction equations: Equations & inequalities introduction; One-step multiplication and division equations: Equations & inequalities introduction; Finding mistakes in one-step equations: Equations & inequalities introduction; One-step equation word problems: Equations & inequalities introduction; Intro to inequalities with variables: Equations & inequalities introduction; Dependent and independent variables; Rate problems with fractions: Proportional relationships; Constant of proportionality: Proportional relationships; Compare and interpret constants of proportionality: Proportional relationships; Identifying proportional relationships: Proportional relationships; Graphs of proportional relationships: Proportional relationships; Writing & solving proportions: Proportional relationships; Equations of proportional relationships; Combining like terms: One-step and two-step equations & inequalities; The distributive property & equivalent expressions: One-step and two-step equations & inequalities; Interpreting linear expressions: One-step and two-step equations & inequalities; Two-step equations intro: One-step and two-step equations & inequalities; Two-step equations with decimals and fractions: One-step and two-step equations & inequalities; Two-step equation word problems: One-step and two-step equations & inequalities; One-step inequalities: One-step and two-step equations & inequalities; Two-step inequalities; Square roots & cube roots: Roots, exponents, & scientific notation; Exponent properties intro: Roots, exponents, & scientific notation; Negative exponents: Roots, exponents, & scientific notation; Exponent properties (integer exponents): Roots, exponents, & scientific notation; Working with powers of 10: Roots, exponents, & scientific notation; Scientific notation intro: Roots, exponents, & scientific notation; Arithmetic with numbers in scientific notation: Roots, exponents, & scientific notation; Scientific notation word problems; Equations with variables on both sides: Multi-step equations; Equations with parentheses: Multi-step equations; Number of solutions to equations: Multi-step equations; Equations word problems; Graphing proportional relationships: Two-variable equations; Solutions to linear equations: Two-variable equations; Intercepts: Two-variable equations; Slope: Two-variable equations; Intro to slope-intercept form: Two-variable equations; Graphing slope-intercept form: Two-variable equations; Writing slope-intercept equations; Functions: Functions and linear models; Linear models: Functions and linear models; Comparing linear functions: Functions and linear models; Constructing linear models for real-world relationships: Functions and linear models; Recognizing functions: Functions and linear models; Linear and nonlinear functions; Intro to systems of equations: Systems of equations; Systems of equations with graphing: Systems of equations; Solving systems with substitution; and more such topics.

We also present an introduction to geometry and right triangles. This Pre-Algebra math course is divided into many chapters and each chapter is divided into several lessons.

Each lesson includes theory, examples, and digital classes. pre-algebra course will not only be a place to share knowledge but also to help students get inspired to explore and discover many creative ideas from themselves.