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Foundation of Algebra or Pre-Algebra (School Based) or Grade 6/7 Math

Topics Covered: Number Sense Place value & number forms Comparing and ordering Factors and multiples Prime and composite numbers Operations with Whole Numbers Addition, subtraction, multiplication, and division Estimation and rounding Order of operations (without exponents) Fractions and Decimals Equivalent fractions Addition, subtraction, multiplication, division of fractions Decimal operations Conversions between fractions and decimals Ratios and Proportions Ratio concepts Unit rates Basic proportions Percents Converting between fractions, decimals, and percents Finding percent of a number Simple percentage problems Introduction to Variables and Expressions Variables and simple expressions Evaluating expressions Basic substitution Simple Equations and Inequalities One-step equations Concept of equality Simple word problems Geometry Basics Lines, angles, and triangles Perimeter and area of rectangles and triangles Coordinate plane basics Data and Graphing Bar graphs, line plots, and pictographs Mean, median, mode, and range Reading tables and charts Problem Solving and Logical Reasoning Word problems across topics Multi-step reasoning

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.