# Algebra II & Trigonometry

# 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, applyproperties 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 andEquations. |
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. |

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