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Algebra II & Trigonometry
Algebra II & Trigonometry
Schedule
IP Algebra II & Trigonometry Honors is selfpaced, 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 bestfitting 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 twovariable 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 doubleangle and halfangle formulas. 
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