Number and Quantity

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• Complex number 'i' notation for Roots of Negative Numbers and its Arithmetic Calculations

• Adding, Subtracting, Multiplying and Dividing Complex Numbers

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Algebra

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• Arithmetic Sequence and Series

• Geometric Sequence and Series

• Convergent and Divergent Series

• Arithmetic Operations of Rational Expressions

• Rational Equations and Extraneous Solutions

• Rewriting and Simplifying Radical Expressions

• Solving Radical Equations

• Trigonometric Equations

• Exponential and Logarithmic Equations - Various Rules

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Statistics and Probability

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• Normal Distribution and its Application in Probability

• Z-Scores or Z-values, Percentiles and Standard Deviation

• Confidence Intervals

• Various Sampling Methods

• Statistical Significance, Inferences

• Regression Equations

Functions

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• Quadratic Functions

• Transformations (Translation, Rotation, Reflection, Vertical Dilation, Horizontal Dilation)

• Identifying Multiple Transformations

• Finding Quadratic Functions using Key Points

• Quadratic Formula used to find Imaginary Roots

• Cubic, Quartic and Quintic Functions

• Even and Odd Functions

• Relative Extrema (Maximum and Minimum)

• Absolute Extrema (Maximum and Minimum)

• Remainder Theorem and Factor Theorem

• Rational Root Theorem

• Binomial Theorem

• Piecewise Functions

• Rational Functions - Vertical Asymptotes, Removable Discontinuity, Domain and Range, Graphs

• Radical Functions and their Graphs

• Inverse of Functions

• Exponential and Logarithmic Functions

• Trigonometric Functions and their Graphs

• Logistic Functions, Carrying Capacity

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Precalculus (Math III Plus H only)

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• Conic Sections (Ellipes, Hyperbolas)

• Limits