Unit 1 – Algebraic ExpressionsIn this unit students explore algebraic expressions, and sets of numbers. They study solving equations and inequalities, simplifying and evaluating, and absolute value.Unit 2 – FunctionsIn this unit students discuss the definition of a function, direct variation, slope-intercept, and point-slope. They explore piece-wise defined functions, linear models, transformations of functions, absolute value functions, and inequalities in two variables.Unit 3 – Linear SystemsIn this unit students investigate solving graphically, substitution, elimination, and systems of inequalities. They discuss linear programming, systems in three variables, and matrices.Unit 4 – Quadratic FunctionsIn this unit students learn about transformations, standard form, quadratic regression, quadratic equations, quadratic formula, and quadratic inequalities. They investigate factoring, completing the square, complex numbers, and graphing and representing operations of complex numbers.Unit 5 – PolynomialsIn this unit students study polynomial functions and equations, factored form, dividing polynomials, synthetic division, and finding roots. They learn about the fundamental theorem of algebra, graphing polynomial functions, binomial theorem, and regression.Unit 6 – Radical FunctionsIn this unit students explore the properties of exponents, rational exponents, adding radicals, and solving radical equations. They study composition of functions, inverse functions, and graphing radical functions.Unit 7 – Exponential and Logarithmic FunctionsIn this unit students discuss exponential and logarithmic functions and equations. They explore properties of logarithms, and compound interest. Following this unit students are presented with the Mid-Term Review and Exam.Unit 8 – Rational FractionsIn this unit students investigate inverse variation, reciprocal functions, and graphs of rational functions. They discuss adding, subtracting, multiplying, and dividing rational expressions, solving inequalities, and number theory.Unit 9 – Sequences and SeriesIn this unit students learn about explicit versus recursive definitions. They investigate arithmetic and geometric sequences and series.Unit 10 – Conic SectionsIn this unit students study definitions, parabolas, and circles. They also learn about ellipses, hyperbola, and quadratic systems.Unit 11 – Probability and StatisticsIn this unit students explore permutations and combinations, probability, multiple events, conditional probability, and probability models. They study analyzing data, standard deviation, samples and surveys, binomial and normal distributions, probability distribution functions, and expected value.Unit 12 – MatricesIn this unit students discuss adding, subtracting, and multiplying matrices. They explore inverses, solving systems using inverses, geometric transformations, and vectors.Unit 13 – Periodic FunctionsIn this unit students investigate the definition of periodic, the unit circle, radian measure, and the sine, cosine, and tangent functions. They discuss reciprocal and translating trigonometric functions.Unit 14 – Trig Identities and EquationsIn this unit students learn about basic identities, solving trig functions and inverse trig functions, right triangles, and the laws of sines and cosines. They investigate sum and difference identities, and double and half angle identities. Following this unit students are presented with the Final Review and Exam.