Algebra

Solving Linear Equations in One Variable34Solving Linear Equations in Two Variables38Applications of Linear Equations55Solving Quadratic Equations by Factoring32Solving Quadratic Equations by Completing the Square57Solving Quadratic Equations Using the Quadratic Formula52Operations on Polynomials40Factoring Polynomials59Applications of Polynomials54Linear Functions47Quadratic Functions59Applications of Functions56Trigonometric Ratios52Trigonometric Identities39Applications of Trigonometry55

Arithmetic

Decimal System58Binary System44Hexadecimal System57Addition51Subtraction53Multiplication54Division21Variables51Equations47Inequalities50Shapes57Angles56Triangles50Circles52Data50Mean52Median50Mode50

Mathematics in Everyday Life

Place Value37Addition and Subtraction36Multiplication and Division34Length52Mass and Weight42Time52Shapes and their Properties54Area and Perimeter51Volume and Surface Area31Collecting and Organizing Data51Analyzing Data51Probability55Money and its Value57Budgeting and Saving57Investing and Borrowing56

Geometry

Triangles52Quadrilaterals50Circles56Similarity and Congruence54Prisms and Cylinders53Pyramids and Cones52Spheres51The Cartesian Plane50Distance and Midpoint Formulas57Slope and Equations of Lines54Trigonometric Ratios56Trigonometric Identities51Applications of Trigonometry44

Statistics

Measures of Central Tendency59Measures of Dispersion57Graphical Representations52Hypothesis Testing50Confidence Intervals50Regression Analysis48Basic Concepts55Conditional Probability and Bayes Theorem51Discrete and Continuous Distributions56Data Collection and Sampling58Data Cleaning and Preparation54Statistical Inference and Decision Making51

Trigonometry

Sine, Cosine, and Tangent24Pythagorean Identities14Solving Trigonometric Equations2Graphs of Trigonometric Functions20Periodic Properties15Inverse Trigonometric Functions57Trigonometry in Navigation10Trigonometry in Architecture26Trigonometry in Engineering45

History of Mathematics

The Number Systems of Indigenous Peoples52Early European Influences54The Role of Universities and Research Institutions52Mathematics in Canadian Society48Artificial Intelligence and Machine Learning59Mathematics Education in Canada55

Number Theory

Decimal System51Binary System58Hexadecimal System26Prime Numbers50Composite Numbers55Factors and Multiples52Addition57Subtraction38Multiplication38Division51Even and Odd Numbers56Positive and Negative Numbers51Rational and Irrational Numbers50

Logic

Syllogisms55Conditional Statements48Fallacies50Generalizations56Analogies52Causal Reasoning51Heuristics51Algorithms56Problem Representation53

Calculus

Definition of a Limit52Properties of Limits43Continuity56Definition of a Derivative50Rules of Differentiation48Applications of Differentiation32Definition of an Integral53Rules of Integration42Applications of Integration33

Analysis

Prime Numbers53Modular Arithmetic58Number Patterns and Sequences58Polynomials50Systems of Equations54Functions and Relations52Limits and Continuity49Derivatives54Integrals51Euclidean Geometry51Trigonometry57Coordinate Geometry53Descriptive Statistics55Probability51Inferential Statistics51

Topology

Genus53Euler Characteristic50Classification of Surfaces58Knots and Links50Knot Invariants59Knot Theory Applications54Manifolds40Triangulations51Geometric Topology Applications50