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
- quadratic functions
- completing the square
- the quadratic formula
- 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
- the general quadratic
- 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
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