Mathematics
Grade 9
Sets→Linear Equations→Exponents→Roots and Radicals→Absolute Value→Natural Numbers→Integers→Rational Numbers→Real Numbers→Exponent Rules and Laws→Radicals and Nth Roots→Rationalizing Denominators→Operations on Polynomials→Factoring Polynomials→Quadratic Formula→Absolute Value Equations→Functions and Function Notation→Linear Functions→Slope and Intercepts→Quadratic Functions→Parabolas and Their Properties→Triangle Properties and Classification→Angle Sum Property of Triangles→Congruence of Triangles→Similarity of Triangles→Angles and Parallel Lines→Circles and Circle Theorems→Area and Perimeter of 2D Shapes→Volume and Surface Area of 3D Solids→Coordinate Geometry→Distance and Midpoint Formulas→Transformations: Reflection, Rotation, Translation→Arithmetic Sequences→Geometric Sequences→Sum of Arithmetic Series→Sum of Geometric Series→Basic Probability→Permutations and Combinations→Statistics and Data Analysis→
Grade 10
Quadratic Equations→Functions→Polynomials→Pythagorean Theorem (a²+b²=c²)→Polynomial Definition and Notation→Degree of a Polynomial→Polynomial Division→Synthetic Division→Remainder Theorem→Factor Theorem→Rational Expressions→Operations with Rational Expressions→Partial Fraction Decomposition→
Rational Functionssoon
Vertical Asymptotes→Horizontal Asymptotes→Oblique (Slant) Asymptotes→Completing the Square→Discriminant and Nature of Roots→Vertex Form of a Parabola→Standard Form of a Parabola→Systems of Linear Equations→Gaussian Elimination→Quadratic Inequalities→Absolute Value Inequalities→Exponential Functions→Exponential Growth and Decay→Logarithmic Functionssoon
Logarithmic Properties→Change of Base Formula→Trigonometric Ratios→Unit Circle→Angle Measures: Radians and Degrees→Operations with Complex Numbers→De Moivre's Theorem→Series and Summation→Grade 11
Trigonometry→Trigonometric Identities→Logarithms→Sequences and Series→Polynomial Functions→Rational Equations and Inequalities→Properties of Logarithms→Infinite Geometric Series→Sine, Cosine, and Tangent Functions→Sum and Difference Formulas→Double Angle Formulas→Half-Angle Formulas→Power Reduction Formulas→Trigonometric Equations→Law of Sines→Law of Cosines→Polar Form of Complex Numbers→Vector Operations→Dot Product and Angle Between Vectors→Cross Product→Parametric Equations→Polar Coordinates→Conic Sections: Circles, Ellipses, Hyperbolas→Matrix Operations→Determinants and Properties→Matrix Inverse→Systems of Linear Equations Using Matrices→Cramer's Rule→Permutations→Combinations→Binomial Theorem→Probability Distributions→Binomial Distribution→Normal Distribution→Mathematical Induction→Limits and Continuity→Derivatives and Rates of Change→Power Rule for Derivatives→Function Transformations→Inverse Functions→
Grade 12
Definite Integrals and Area→Limits→Inverse Trigonometric Functions→Derivatives→Systems of Linear Equations→Integrals→Vectors in 2D and 3D→Probability→Dot Product and Orthogonality→Cross Product→Circle Equations and Properties→Ellipse Properties and Equations→Hyperbola Properties and Equations→Parabola Properties and Equations→Arithmetic Sequences and Series→Geometric Sequences and Series→Conditional Probability→Bayes' Theorem→Hypothesis Testing→Confidence Intervals→Correlation and Linear Regression→Function Composition and Inverse Functions→Systems of Inequalities→Exponential Equations→Summation Notation and Series→Optimization Problems and Calculus→Limits and Continuity→Derivative Definition and Rules→Applications of Derivatives→Indefinite Integrals→
University — Year 1
Limit of a Functionsoon
Continuitysoon
Power Rulesoon
Chain Rulesoon
Product Rulesoon
Quotient Rulesoon
Optimization and Extremasoon
Mean Value Theoremsoon
Rolle's Theoremsoon
Indefinite Integralssoon
Definite Integralssoon
Fundamental Theorem of Calculussoon
Integration by Partssoon
Substitution Rulesoon
Improper Integralssoon
Sequences and Convergencesoon
Infinite Seriessoon
Convergence Tests for Seriessoon
Taylor and Maclaurin Seriessoon
Vectors in Geometrysoon
Dot Productsoon
Cross Productsoon
Matrix Operationssoon
Eigenvalues and Eigenvectorssoon
Linear Transformationssoon
Vector Spacessoon
Basis and Dimensionsoon
Rank of a Matrixsoon
Complex Number Operationssoon
Proof by Inductionsoon
Proof by Contradictionsoon
Logic and Propositionssoon
Sets and Operationssoon
Functions and Relationssoon
Partial Derivativessoon
Multivariable Calculussoon
Double Integralssoon
Triple Integralssoon
University
Grade 5
Place Value in Whole Numbers→Addition of Whole Numbers→Numbers and Operations→Subtraction of Whole Numbers→Four Operations with Natural Numbers→Multiplication by Two-Digit Numbers→Fractions→Division with Remainders→Operations with Fractions→Order of Operations (PEMDAS)→Decimal Representations→Factors and Multiples→Percentages→Prime and Composite Numbers→Data Collection and Evaluation→Greatest Common Factor (GCF)→Geometric Solids→Least Common Multiple (LCM)→Area Measurement→Understanding Fractions→Length and Time Measurement→Comparing Fractions→Perimeter Measurement→Equivalent Fractions→Point, Line, Plane, and Analytical Investigation of Points→Adding Fractions with Same Denominator→Angles→Subtracting Fractions with Same Denominator→Basic Transformations and Geometric Solids→Adding Fractions with Different Denominators→Subtracting Fractions with Different Denominators→Multiplying Fractions→Dividing Fractions→Fractions as Division→Decimal Place Value→Comparing Decimals→Adding Decimals→Subtracting Decimals→Multiplying Decimals→Dividing Decimals→Fractions and Decimals Equivalence→Percentages Basics→Measurement of Length→Measurement of Mass and Weight→Measurement of Volume and Capacity→Measurement of Time→Temperature Measurement→Perimeter of Two-Dimensional Shapes→Area of Rectangles→Area of Triangles→Volume of Rectangular Prisms→Classifying Polygons→Angles and Angle Measurement→Coordinate Plane Basics→Data Collection and Representation→Bar Graphs and Line Graphs→Pictographs→Mean, Median, Mode, and Range→Patterns and Number Sequences→Algebraic Expressions→Solving Simple Equations→
Grade 6
Numbers and Operations at a Basic Level→Operations with Natural Numbers→Operations with Fractions→Operations with Decimal Representations→Percentages→Ratio and Proportion→Integers→Algebraic Expressions→Equations→Basic Geometric Concepts and Drawings→Angles→Area Measurement→Geometric Solids→Data Collection and Evaluation→Data Analysis→Probability→Whole Numbers and Operations→Addition and Subtraction→Multiplication and Division→Order of Operations (PEMDAS/BODMAS)→Fractions and Equivalent Fractions→Decimal Numbers→Converting Fractions to Decimals→Operations with Fractions→Operations with Decimals→Ratios and Proportions→Unit Rates→Percentage Fundamentals→Percentage Calculations→Integers and Signed Numbers→Prime and Composite Numbers→Factors and Multiples→Greatest Common Divisor and Least Common Multiple→Divisibility Rules→Exponents and Powers→Square Roots→Two-Dimensional Geometric Shapes→Types of Angles→Lines: Parallel and Perpendicular→Properties of Triangles→Types of Triangles→Quadrilaterals→Polygons→Circle: Radius, Diameter, Circumference→Perimeter of Polygons→Area of Rectangles and Squares→Area of Triangles→Area of Circles→Three-Dimensional Solids→Volume of Solids→Surface Area of Solids→Nets of Solids→Line and Point Symmetry→Translation (Slide)→Rotation (Turn)→Reflection (Flip)→Congruent and Similar Figures→Coordinate Plane and Graphing→Algebraic Expressions→Simple Linear Equations→Inequalities and Solution Sets→
Grade 7
Numbers and Operations→Rational Numbers→Percentages→Algebraic Expressions→Equations→Inequalities→Geometric Solids→Area and Volume→Data Analysis→Probability→Basic Transformations→Triangles and Congruence→Circle and Disk→Ratio and Proportion→Square Roots→Integer Addition and Subtraction→Integer Multiplication and Division→Rational Numbers and Fractions→Fraction Addition and Subtraction→Fraction Multiplication and Division→Decimal Operations→Comparing and Ordering Decimals→Square Roots and Perfect Squares→Variables and Algebraic Expressions→Evaluating Algebraic Expressions→Combining Like Terms→Distributive Property→One-Step Equations→Two-Step Equations→Multi-Step Equations→Equations with Variables on Both Sides→Solving Linear Equations→Compound Inequalities→Ratios and Rates→Proportions and Solving Proportions→Finding Percentages→Percent Increase and Decrease→Discount, Markup, and Tax→Simple Interest→Ordered Pairs and Graphing→Slope of a Line→Linear Functions and Equations→Direct Variation→Angles and Angle Relationships→Triangle Properties and Classification→Triangle Congruence→Quadrilaterals and Their Properties→Polygon Angle Sum→Area of Rectangles and Squares→Area of Triangles and Trapezoids→Area of Irregular Shapes→Volume of Rectangular Prisms→Volume of Triangular Prisms→Surface Area of Prisms→Measures of Center (Mean, Median, Mode)→Measures of Spread (Range, IQR)→Data Displays and Interpretation→Probability Basics→Compound Probability→
Grade 8
Factors and Multiples→Square Roots→Data Analysis→Probability→Exponents→Operations with Integers→Rational Numbers→Algebraic Expressions→Equality and Equations→Inequalities→Geometric Solids→Triangles→Congruence and Similarity→Transformational Geometry→Data Collection and Evaluation→Properties of Integers→Operations with Rational Numbers→Irrational Numbers→Real Number Line→Scientific Notation→Square Roots and Properties→Cube Roots→Prime Factorization→Greatest Common Divisor (GCD)→Laws of Exponents→Zero and Negative Exponents→Fractional Exponents→Applications of Scientific Notation→Order of Magnitude→Simplifying Algebraic Expressions→Linear Equations in One Variable→Linear Inequalities→Systems of Linear Equations→Substitution Method for Systems→Elimination Method for Systems→Quadratic Expressions→Factoring Trinomials→Operations with Polynomials→Solving for a Variable→Definition of a Function→Domain and Range→Graphing Linear Functions→Slope and Rate of Change→X-Intercept and Y-Intercept→Angle Relationships→Parallel Lines and Transversals→Triangle Angle Sum Theorem→Similarity and Proportionality→Special Right Triangles→Circle Properties and Parts→Properties of Polygons→Area Formulas→Volume of Prisms→Surface Area Calculation→Data Representation and Interpretation→Measures of Central Tendency→