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10 Modules / ~100 pages
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~25 Modules / ~400 pages
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High School Grade 12 Mathematic
( 25 Modules )

Module #1
Review of Prerequisites
Review of essential math concepts from previous grades, including algebra, geometry, and trigonometry.
Module #2
Functions and Relations
Introduction to functions, including domain and range, function notation, and composition of functions.
Module #3
Graphing Functions
Graphing functions, including understanding x and y intercepts, asymptotes, and maxima/minima.
Module #4
Quadratic Functions
In-depth study of quadratic functions, including formulas, graphs, and applications.
Module #5
Polynomial Functions
Introduction to polynomial functions, including addition, subtraction, and multiplication of polynomials.
Module #6
Rational Functions
Study of rational functions, including domain, range, and asymptotes.
Module #7
Exponents and Logarithms
Review of exponent rules and introduction to logarithms, including properties and applications.
Module #8
Systems of Equations
Methods for solving systems of linear and non-linear equations, including substitution, elimination, and matrix methods.
Module #9
Inequalities and Systems of Inequalities
Solving linear and non-linear inequalities, including systems of inequalities and graphing on the number line.
Module #10
Trigonometry
Review of trigonometric ratios, identities, and formulas, including sine, cosine, and tangent.
Module #11
Analytic Trigonometry
Introduction to analytic trigonometry, including trigonometric equations and identities.
Module #12
Series and Sequences
Introduction to arithmetic and geometric sequences and series, including formulas and applications.
Module #13
Probability
Introduction to probability, including basic concepts, rules, and conditional probability.
Module #14
Data Management
Introduction to data management, including collecting, organizing, and analyzing data.
Module #15
Statistics
Introduction to statistical analysis, including measures of central tendency and variability.
Module #16
Circle Geometry
Study of circle geometry, including properties, theorems, and applications.
Module #17
Trigonometric Identities
In-depth study of trigonometric identities, including sum and difference formulas.
Module #18
Vectors
Introduction to vectors, including operations, properties, and applications.
Module #19
Matrices
Introduction to matrices, including operations, properties, and applications.
Module #20
Linear Algebra
Introduction to linear algebra, including vector spaces, linear independence, and determinants.
Module #21
Review of Calculus Concepts
Review of essential calculus concepts, including limits, derivatives, and integrals.
Module #22
Differential Calculus
In-depth study of differential calculus, including rules, applications, and optimization problems.
Module #23
Integral Calculus
In-depth study of integral calculus, including techniques, applications, and problem-solving strategies.
Module #24
Applications of Calculus
Applications of calculus to real-world problems, including physics, engineering, and economics.
Module #25
Course Wrap-Up & Conclusion
Planning next steps in High School Grade 12 Mathematic career


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