Topics covered by Infinite Algebra 2 in suggested order ------------------------------------------------------- Beginning Algebra Order of operations Simplifying algebraic expressions Equations and Inequalities Multi-step equations Work word problems Distance, rate, time word problems Mixture word problems Absolute value equations Multi-step inequalities Compound inequalities Absolute value inequalities Linear Relations and Functions Graphing linear equations Writing linear equations Graphing absolute value equations Graphing linear inequalities Systems of Equations and Inequalities Graphing systems of linear inequalities Solving systems by graphing (2 variables) Solving systems by elimination (2 variables) Solving systems by substitution (2 variables) Systems of equations word problems (2 variables) Points in three dimensions Planes Solving systems with three variables Matrices Operations Determinants Inverses Cramer's Rule Equations Geometric transformations Complex Numbers Operations Graphing Absolute value Rationalizing denominators Quadratic Functions and Inequalities Graphing quadratic functions Graphing quadratic inequalities Factoring quadratic expressions Factoring special case quadratic expressions Solving equations by taking square roots Solving equations by factoring Completing the square Solving equations by completing the square Solving equations with the Quadratic Formula The discriminant Polynomial Functions Naming Adding and subtracting Multiplying Multiplying special cases The Binomial Theorem Dividing Factoring by grouping Factoring a sum/difference of cubes Factoring quadratic form Factoring, all techniques The Remainder Theorem Writing functions Conjugate roots & factoring Conjugate roots & writing functions Descartes' Rule of Signs Rational Zero/Root Theorem Fundamental Theorem of Algebra Solving polynomial equations End behavior and general graph shape Graphing General Functions Evaluating Operations Inverses Radical Functions and Rational Exponents Simplifying radicals Adding and subtracting radical expressions Multiplying radical expressions Dividing radical expressions Connecting radical expressions and rational exponents Evaluating rational exponent expressions The properties of exponents Radical equations Rational exponent equations Graphing radical equations Domain and range of radical functions Conic Sections Parabolas, graphing & properties Parabolas, writing equations Circles, graphing & properties Circles, writing equations Ellipses, graphing & properties Ellipses, writing equations Hyperbolas, graphing & properties Hyperbolas, writing equations Classifying Systems of quadratic equations Rational Expressions Graphing Simplifying Multiplying and dividing Adding and subtracting Complex fractions Equations Exponential and Logarithmic Expressions Graphing exponential functions Exponential equations not requiring logarithms Exponents and logarithms Evaluating logarithms Logarithms and exponents as inverses Properties of logarithms Writing logs in terms of others Exponential equations requiring logarithms Inverses of Logarithmic equations, simple Logarithmic equations, hard Graphing logarithmic functions Sequences and Series General sequences Arithmetic sequences Geometric sequences Arithmetic and geometric mean General series Arithmetic series Geometric series Trigonometry Angles and angle measure Radians and degrees Degrees and degrees-minutes-seconds Coterminal angles Arc length and sector area Right triangle trig: Finding ratios Right triangle trig: Finding angle measures Right triangle trig: Finding angles and sides Trig functions of any angle The Law of Sines The Law of Cosines Area and Laws of Sines and Cosines Graphing trig functions Angle sum/difference identities Double-angle/half-angle identities Equations Probability and Statistics Sample spaces and the Fundamental Counting Principle Probability of independent and dependent events, word problems Probability of independent and dependent events Probability of mutually exclusive events, word problems Probability of mutually exclusive events Permutations Combinations Permutations vs combinations Probability with permutations and combinations