Grade 11

Algebra

Linear equations/inequalities
Monomials and polynomials
Factoring second and third degree polynomials
Rational expressions/functions
Quadratic equations
Quadratic functions
Exponents, factors, variation, exponential growth/decay
Hypothesis, counterexamples
Correlation for data
Patterns, relations, functions
Changing parameters of given functions
Graphs, matrices, sequences, series, recursive relations
Radical equations/inequalities
Limits and infinity

More

Geometry And Measurement

Logical reasoning
Geometric proofs
Euclidean/non-Euclidean geometries
Formal/informal proofs
Conditional statements
Pythagorean Theorem
Intersection of a plane with 3-d figures

More

Probability And Statistics

Types of events
Measures of central tendency/dispersion, quartiles, interquartiles
Permutations and combinations
Methods of data representation
Statistical experiments (more than one variable)
Correlation and causation

More

Trigonometry

Graphing functions
Trigonometric functions
Formulas for sines and cosiness
Polar/rectangular coordinates
Complex numbers in polar form
DeMoivre’s theorem

More

Precalculus

Limits of sequences, series
Continuity, end behavior, asymptotes, limits
Regression
Law of Sines/Cosines, area formulas
Parametric/rectangular forms of functions
Vectors

More

Calculus

Limits- operations on functions
Continuity of a function
Intermediate value, extreme value theorem
Derivatives, differentiability
Derivatives of functions
Chain rule

More

Linear Algebra

Types of linear systems
Gauss-Jordan elimination, Gauss-Jordan method
Vectors and vector addition
Geometrical solution sets of systems of equations

More

Mathematical Analysis

Various forms of complex numbers
Mathematical induction
Roots and poles of rational functions
Graphing rational functions - asymptotes

More