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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 nth 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.
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