Algebra II Course Overview

Algebra II is a full-year, high school math course intended for the student who has successfully completed the
prerequisite course Algebra I. This course focuses on algebraic techniques and methods in order to develop student
understanding of advanced number theory, concepts involving linear, quadratic and polynomial functions, and pre-
calculus theories. This course also integrates geometric concepts and skills throughout the units, as well as introducing
students to basic trigonometric identities and problem solving.

• Set, Structure, and Function: Student will review the properties of sets and functions, determine the
domains, ranges and inverses of functions, and simplifying expressions by combining like terms, exponent
rules for multiplication and division and exponents.
• Numbers, Sentences, and Problems: Student will solve linear equations and inequalities using multiplication,
addition, and distributive properties, graph absolute value, and compound equations and inequalities, and
problems involving rate, distance, and time.
• Linear Equations and Inequalities: Student will determine the slope of a line and use that information to write
an equation, compare lines, and solve a system of equations using the addition property of equality, the
substitution property of equality, and graphical methods.
• Polynomials: Student will factor trinomials using the difference of two squares, the product of the sum of
two perfect cubes, perfect square trinomials, and the difference of two cubes, and solve problems involving
direct variation, inverse variation and joint or combination variation.
• Algebraic Fractions: Student will reduce fractions, add and subtract fractions, and change mixed numbers and
complex fractions to simple algebraic fractions, and solve equations that contain algebraic fractions, variables
in the denominator of a fraction, and mixture problems.
• Real Numbers: Student will evaluate and simplify radical expressions and fractional exponent expressions,
and solve quadratic equations by the factoring method, and by completing the square.
• Quadratic Relations and Systems: Student will determine the major components of different conic sections,
write their equations, solve and graph them.
• Exponential Functions: Student will evaluate and simplify equations in logarithmic form, exponential form,
graph them, and use matrices to solve a system of equations.
• Counting Principles: Student will differentiate between a finite and an infinite series, and between an
arithmetic and a geometric series, calculate the number of permutations or combinations of r elements from a
set of n elements, and use the counting principle, conditional probability, and multiplication principle to
calculate the probability of complex events.