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Math > 12th GRADE

12th GRADE

 

Algebra II

Properties of functions, the algebra of functions, matrices, and systems of equations. Linear, quadratic, exponential, logarithmic, polynomial, and rational functions.
Radical expressions and exponents.
Binomial theorem.
Graph ellipses and hyperbolas given the equations.
In-depth graphing, systems of linear equations and inequalities, quadratics functions and equations.
Systems of Linear Equations and Inequalities.
Probability and statistics using standard deviation measures to compare the scatter of sets of real-world data.
Permutations and combinations.
Properties of functions
Logarithms
Sequence and Series
Trigonometric Functions and Equations
Vectors, Polar Coordinates and Complex Numbers
Conic Sections

 

Calculus

Review of polynomial, algebraic, transcendental functions.
Functions, graphs and
Limits, continuity, differentiation, integration, and applications using problem solving as the context.
Derivatives of functions and real-life applications of derivatives.
Investigate the relationship between the derivative of a function and the key features of its graph.
Understand rates of change and their applications.
Understand the concept of a limit of a function, and be able to evaluate the limit of a function.
Use the chain rule.

 

Statistics

Statistical analysis, summarize and interpret data
Probability, linear and non-linear regression.
Hypothesis testing using Binomial, Normal , Student-t and Chi-square distributions
Fundamental counting principle, permutations and combinations.
Use, interpret and apply normal and binomial probability distributions.
Apply transformations to statistical data.
Use the Central Limit Theorem.
Normal distribution patterns.

 


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