Algebra II & Trigonometry

Schedule

IP Algebra II & Trigonometry Honors is self-paced, so the schedule is based on the students’ demonstrated
proficiency. The course follows the chapters in the course textbook (some minor topics are subject to change):

Topics	Activities, Assignments, and Assessments.
Chapter 1: Equations and Inequalities	Apply properties of real numbers , evaluate and simplify algebraic expressions, solve linear equations , rewrite formulas and equations , use problem solving strategies and models, solve linear inequalities , solve absolute value equations and inequalities
Chapter 2: Linear Equations and Functions	Represent relations and functions, find slope and rate of change, graph equations of lines, write equations of lines, model direct variation, draw scatter plots and best -fitting lines, use absolute value functions and transformations, graph linear inequalities in two variables.
Chapter 3: Linear Systems and Matrices	Solve linear systems graphically and algebraically, graph systems of linear inequalities, solve systems of linear equations in three variables, perform basic matrix operations, multiply matrices, evaluate determinants and apply Cramer’s Rule, use inverse matrices to solve linear systems.
Chapter 4: Quadratic Functions and Factoring	Graph quadratic functions in standard form, vertex form and intercept form, solve equations of the form ax^2 + bx + c = 0 by factoring and taking square roots, perform operations with complex numbers , complete the square, use the quadratic formula and the discriminant, graph and solve quadratic inequalities, write quadratic functions and models.
Chapter 5: Polynomials and Polynomial Functions	Use properties of exponents, evaluate and graph polynomial functions, add, subtract, and multiply polynomials, factor and solve polynomial equations, apply the remainder and factor theorems, find rational zeros , apply the fundamental theorem of algebra, analyze graphs of polynomial functions, write polynomial functions and models.
Chapter 6: Rational Exponents and Radical Functions	Evaluate n^th roots and use rational exponents, apply properties of rational exponents, perform function operations and composition, use inverse functions, graph square root and cube root functions, solve radical equations.
Chapter 7: Exponential and Logarithmic Functions	Graph exponential growth and decay functions, use functions involving e, evaluate logarithms and graph logarithmic functions, apply properties of logarithms, solve exponential and logarithmic equations, write and apply exponential and logarithmic functions.
Chapter 8: Rational Functions	Model inverse and joint variation, graph simple rational functions, graph general rational functions, multiply and divide rational expressions, add and subtract rational equations.
Chapter 9: Quadratic Relations and Conic Sections	Graph and write equations of parabolas, circles , ellipses, and hyperbolas, translate and classify conic sections, solve quadratic systems.
Chapter 10: Counting Methods and Probability	Apply the counting principle and permutations, use combinations and the binomial theorem, define and use probability, find probabilities of disjoint and overlapping events, find probability independent and dependent events.
Chapter 11: Data Analysis and Statistics	Determine measures of central tendency and dispersion, apply transformations to data, use normal distributions, select and draw conclusions from samples, chose the best model for two- variable data .
Chapter 12: Sequences and Series	Define and use sequences and series, analyze arithmetic sequences and series, analyze geometric sequences and series, find sums of infinite geometric series, use recursive rules with sequences and series.
Chapter 13: Trigonometric Ratios and Functions	Use trigonometry with right triangles, define general angles and use radian measure, evaluate trigonometric functions of any angle, evaluate inverse trigonometric functions, apply the law of sines , apply the law of cosines.
Chapter 14: Trigonometric Graphs, Identities and Equations.	Graph sine, cosine, and tangent functions, translate and reflect trigonometric graphs, verify trigonometric identities, solve trigonometric equations, write trigonometric models, apply sum and difference formulas, apply double-angle and half-angle formulas.