Topics covered by Infinite Algebra 2 in index order --------------------------------------------------- Absolute value Complex numbers Equations, graphing Equations, solving Inequalities Angles Arc length Coterminal Measures of Quadrants Reference angles Sector area Sketching Arc length Area Heron's Formula Of triangles using trig. Arithmetic mean Arithmetic sequences Arithmetic series Binomial Theorem Circles Equations of Graphing Properties of Combinations Basics Probability Versus permutations Combining like terms Completing the square By finding the constant Solving equations by Complex fractions Complex numbers Absolute value Dividing Graphing Multiplying Operations with Rationalizing denominators Conic sections Circles, graphing & properties Circles, writing equations Classifying Ellipses, graphing & properties Ellipses, writing equations Hyperbolas, graphing & properties Hyperbolas, writing equations Parabolas, graphing & properties Parabolas, writing equations Systems of Conjugate roots of polynomial equations Coterminal angles Cramer's Rule Custom question Degrees And degrees-minutes-seconds And radians Descartes' Rule of Signs Determinants Discriminant Distributive Property Dividing Complex numbers Polynomials Radical expressions Rational expressions Rationalizing denominators Domain and range Logarithms Radical functions Ellipses Equations of Graphing Properties of Equations Absolute value Exponential not requiring logarithms Exponential requiring logarithms Logarithmic, properties not required Logarithmic, properties required Matrix Multi-step Polynomial Quadratic, solving by completing the square Quadratic, solving by factoring Quadratic, solving by taking square roots Quadratic, solving with the Quadratic Formula Radical w/ square roots Rational Rational exponents Trigonometric, simple Exponential functions Equations not requiring logarithms Equations requiring logarithms Graphing Inverses of Exponents Applying the properties of Factoring By grouping Higher degrees Quadratic expressions Quadratic form Special cases Sum/difference of cubes Factors vs. roots and zeros Functions Evaluating Inverses Operations Fundamental Theorem of Algebra Geometric mean Geometric sequences Geometric series Graphing Absolute value equations Circles Complex numbers Conic sections Ellipses Exponential functions Hyperbolas Linear equations Linear inequalities Logarithmic functions Parabolas Polynomials Quadratic functions Quadratic inequalities Radical functions Rational functions Systems of linear equations Systems of linear inequalities Trigonometric functions Heron's Formula Hyperbolas Equations of Graphing Properties of Inequalities Absolute value Compound Multi-step Systems Law of Cosines Finding angles and sides Finding area Heron's Formula Law of Sines Finding angles and sides Finding area Linear Equations Graphing Writing Linear Inequalities Graphing Systems of Logarithms Change of base formula Condensing Domain and range Equations, properties not required Equations, properties required Evaluating Expanding Graphing Inverses of Properties of Rewriting Writing in terms of others Matrices Addition / subtraction Determinants Equations Inverses Matrix multiplication Operations Scalar multiplication Transformations with Mean, arithmetic and geometric Mixture word problems Multiplying Complex numbers Polynomials Polynomials, special cases Radical expressions Rational expressions Order of operations Parabolas Equations of Graphing Properties of Permutations Basics Probability Versus combinations Planes Points in three dimensions Polynomials Adding and subtracting Conjugate roots & factoring Conjugate roots & writing functions Descartes' Rule of Signs Dividing End behavior Equations Evaluating using the Remainder Theorem Factoring Factors vs. roots and zeros Finding zeros Fundamental Theorem of Algebra Graphing Multiplying Multiplying special cases Naming Rational Zero/Root Theorem Relative maxima/minima Sketching general shape Writing functions Probability Independent and dependent events Independent and dependent events, word problems Mutually exclusive events Mutually exclusive events, word problems Sample spaces and The Fundamental Counting Principle Using permutations and combinations Quadratic functions Discriminant Equations, solving by completing the square Equations, solving by factoring Equations, solving by taking square roots Equations, solving with the Quadratic Formula Graphing Graphing as conic sections Inequalities Systems of Radians and degrees Radical expressions Adding and subtracting Dividing Domain and range Equations w/ square roots Graphing Multiplying Rewriting with rational exponents Simplifying single radicals Rational exponents Equations Evaluating Rewriting as radicals Simplifying Rational expressions Adding and subtracting Complex fractions Dividing Equations Excluded values Graphing Multiplying Simplifying Rational Zero/Root Theorem Rationalizing denominators Remainder Theorem Dividing polynomials Evaluating polynomials Sector area Sequences Arithmetic General Geometric Missing middle terms Series Arithmetic General Geometric Synthetic substitution Systems of equations Cramer's Rule Quadratic equations With three variables With two variables, by elimination With two variables, by graphing With two variables, by substitution Word problems Systems of linear inequalities Three dimensions Planes Points Transformations All Dilations Reflections Rotations Translations Trigonometry Angle sum/difference identities Angles Area of triangles Coterminal angles Degrees and degrees-minutes-seconds Degrees and radians Double/half-angle identities Equations, simple Finding sin, cos, tan, sec, csc, cot of any angle Graphing Heron's Formula Law of Cosines Law of Sines Radians and degrees Right triangle trig: Finding missing sides and angles Right triangle trig: Finding values of sin, cos, tan, csc, sec, cot Using inverse functions Word problems Distance, rate, time problems Independent and dependent events Mixture problems Mutually exclusive events Systems of equations Work problems Zeros Approximating Finding