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## Algebra III Course Outline

Algebra III will explore problems and generalize concepts through carefully planned explorations. Students will form a deep conceptual understanding of advanced algebra topics such as statistics, transformations of functions and relations, trigonometric and circular functions, and parametric equations.

Chapter 2: Describing Data

• measures of central tendency: mean, median, mode
• box plot
• range, interquartile range
• deviation, standard deviation, variance
• outliers
• histogram, bin, percentile rank

Chapter 4: Functions, Relations, and Transformations

• interpreting graphs
• relations and functions
• function notation
• translation of functions
• reflection of functions
• dilations of functions
• square root family
• absolute value family
• circle family

Chapter 5: Exponential, Power, and Logarithm Functions

• exponential function
• properties of exponents
• power function
• rational exponents and roots
• inverse of a relation
• logarithmic function
• properties of logarithm

Chapter 7: Quadratic and Other Polynomial Functions

• polynomial degree and finite differences
• completing the square
• complex numbers
• factoring polynomials
• higher degree polynomials
• factor theorem, rational root theorem

Chapter 8: Parametric Equations and Trigonometry

• graphing parametric equations
• converting from parametric to nonparametric
• right triangle trigonometry
• projectile motion
• the law of sines
• the law of cosines

Chapter 9: Conic Sections and Rational Functions

• distance formula
• circles and ellipses
• parabolas
• hyperbolas
• rational functions and their graphs

Chapter 10: Trigonometric Functions

• circular function
• radian measure and arc length
• graphing trigonometric functions
• inverses of trigonometric functions
• modeling with trigonometric functions
• fundamental trigonometric identities

Chapter 11: Series

• arithmetic series
• infinite geometric series
• partial sums of geometric series

Chapter 12: Probability

• randomness and probability
• probability of independent events
• mutually exclusive events
• random variables and expected value
• permutations
• combinations
• the binomial theorem and pascal’s triangle

Chapter 13: Application of Statistics (if time allows)

• probability distributions
• normal distributions