Algebra II

Algebra II

Course Features

Course Details

Course Overview

Algebra II builds upon the algebraic concepts taught in Algebra I, continuing on to functions, expressions, etc. and providing students with a more in-depth understanding of algebraic concepts.  It is taught by award-winning Acellus Master Teacher, Patrick Mara. Acellus Algebra II is A-G Approved through the University of California.

Course Objectives & Student Learning Outcomes

In Acellus Algebra II, basic skills learned in Algebra I are reinforced and built upon. With the successful completion of this course, students will have the solid foundation in Algebra needed for continued success in more advanced math courses. Students will have reviewed expressions, equations, inequalities, and systems and extended their understanding of functions, equations, and graphs. They have attained a deeper understanding of linear, quadratic, exponential, and rational functions and how to transform them and use them to model situations. They also have a basic understanding of polynomial, radical, and logarithmic functions. Students have attained an understanding of complex numbers and know how to graph them and perform various mathematical operations with them. Students are experienced working with sequences and series. They are familiar with various conic sections, their graphs and equations. Students know how to perform operations on matrices and use them to solve systems of equations and to perform geometric transformations. Students are more confident with calculations involving permutations and combinations. They know how to calculate the probability associated with multiple events and also conditional probability and are familiar with probability models. They also have worked with binomial, normal, and probability distribution functions. Students are familiar with the unit circle and graphs of the sine, cosine, and tangent functions and how to translate them. They also know basic trig identities and how to use them to solve problems.
This course was developed by the International Academy of Science. Learn More

Scope and Sequence

Unit 1 – Algebraic Expressions This unit covers algebraic expressions, sets of numbers, solving equations and inequalities, simplifying and evaluating, and absolute value. Unit 2 – Functions This unit discusses the definition of a function, and covers direct variation, slope-intercept, point-slope, piece-wise defined functions, linear models, transformations of functions, absolute value functions, and inequalities in two variables. Unit 3 – Linear Systems This unit covers solving graphically, substitution, elimination, systems of inequalities, linear programming, systems in three variables, and matrices. Unit 4 – Quadratic Functions This unit discusses transformations, standard form, quadratic regression, quadratic equations, quadratic formula, and quadratic inequalities, factoring, completing the square, complex numbers, and graphing and representing operations of complex numbers. Unit 5 – Polynomials This unit covers polynomial functions and equations, factored form, dividing polynomials, synthetic division, finding roots, the fundamental theorem of algebra, graphing polynomial functions, binomial theorem, and regression. Unit 6 – Radical Functions This unit discusses properties of exponents, rational exponents, adding radicals, solving radical equations, composition of functions, inverse functions, and graphing radical functions. Unit 7 – Exponential and Logarithmic Functions This unit discusses exponential and logarithmic functions and equations, properties of logarithms, and compound interest. Unit 8 – Rational Fractions This unit discusses inverse variation, reciprocal functions, graphs of rational functions, adding, subtracting, multiplying, and dividing rational expressions, solving inequalities, and number theory. Unit 9 – Sequences and Series This unit covers explicit versus recursive definitions, and arithmetic and geometric sequences and series. Unit 10 – Conic Sections This unit includes definitions, parabolas, circles, ellipses, hyperbola, and quadratic systems. Unit 11 – Probability and Statitics This unit discusses permutations and combinations, probability, multiple events, conditional probability, probability models, analyzing data, standard deviation, samples and surveys, binomial and normal distributions, probability distribution functions, and expected value. Unit 12 – Matrices This unit discusses adding, subtracting, and multiplying matrices; inverses; solving systems using inverses; geometric transformations; and vectors. Unit 13 – Periodic Functions This unit discusses the definition of periodic; the unit circle; radian measure; the sine, cosine, and tangent functions; and reciprocal and translating trigonometric functions. Unit 14 – Trig Identities and Equations This unit discusses basic identities, solving and inverse trig functions, right triangles, the laws of sines and cosines, sum and difference identities, and double and half angle identities.

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