Diploma in High School in Algebra

This free online course is especially useful for students taking the Regents Exam in Algebra II (Common Core). It lays out a modern approach for understanding the principles and techniques of algebra, particularly solving equations, and working with functions and sequences. You will also learn about trigonometric functions, probability as sell as statistical analysis.

What You Will Learn In This Free Course

Real Numbers

This module introduces you to the definition, properties and application of real numbers. The module also outlines the properties of positive integral exponents. The differences between non-positive integral exponents and zero exponents will be covered in this topic.

Polynomials in Algebra

Learn about the laws of the power of quotient and the various types of quotients from this module. You will study how to solve fractional equations and the application of synthetic division in performing long divisions.

Factoring a Polynomial

In this module, you will analyze how to perform operations on complex numbers in addition to the various ways of factoring a monomial or polynomial. Explore the concept of the perfect square trinomial in this module.

Solving Equations

This module outlines the techniques and different criteria involved in solving equations in addition to solving and graphing linear equations. The solutions to systems of two equations in two variables, systems of linear equations in three variables, and linear inequalities will also be covered in this module.

Quadratic Equations and Inequalities

This module discusses the general form, graphical representation, and methods of solving a quadratic equation. This module also outlines the techniques for determining quadratic-linear systems of equations and quadratic inequalities. Discriminant and various nature of roots will also be covered in this module.

Parabolas, Circles and Variation

This module analyses the general form of the equation of a parabola and the procedures involved in the graphing of a circle. The various variations in addition to the simplification and basic operations of rational expressions will also be analyzes in this topic.

Diploma in Regents Exam in Algebra II – First Assessment

You will need to score 80% or more to pass this assessment.; Module

Functions and Transformations

This module explains the concepts of relations and functions. You will learn about special functions and quadratic functions. The composition of functions, as well as graphical and multiple transformations of a function, will be explained in this module

Exponential and Logarithmic Functions

This module explains the concept and methods used in solving exponential functions along with the graphing of logarithmic functions. This module also describes the manipulation of logarithm expressions and the applications of exponents.

Polynomial Functions

In this module, study the concept of polynomial functions as well as the procedures of finding zeros and end behaviours of a polynomial function. This module also explains the methods of graphing and finding the equation of a polynomial function.

Rational Functions

Study the definition of a rational function and the types of asymptotes in this module. Learn how to determine the x and y-intercept of the graph of rational functions. The methods used for graphing any function without the aid of a calculator and solving real-world problems using rational functions will also be covered in this module.

Polynomial and Rational Inequalities

This module discusses the methods of solving polynomial inequalities, polynomial division, and theorems used in searching for the roots of polynomial equations. In this module, the rational root theorem, the algebraic solution to polynomial equations, and the intermediate value theorem will be explained extensively.

Sequences and Series

This module explains the pattern of sequences and series as defined by various formulas. Study the different types of sequences and series from this module. Learn about other interesting types of sequences and series.

Right Triangle Trigonometry

In this module, the methods for proving similar triangles and basic trigonometric ratios of right triangles will be explained. This module also analyses the rules for sides lengths in special triangles. Study the terminologies, quadrants, and classification of angles.

Circular Functions

This module analyses the three main trigonometric functions and reciprocal trigonometric functions. Learn about the trigonometric ratios of any angle, graphs of trigonometric functions, trigonometric identities and equations in this module.

Concept of Probability

Study the probability from the use of Venn diagrams along with the types and methods of evaluating probabilities. Learn about the probability principles, probability of events and the application of Bernoulli’s experiments in this module.

Statistical Analysis

This module discusses the statistics from the measures of central tendency and modes of displaying data. Learn how to work with histograms and measures of dispersion. Also, study the normal distribution, the bell curve, percentiles, quartiles and median.

Diploma in Regents Exam in Algebra II – Second Assessment

You will need to score 80% or more to pass this assessment.; Module

Course assessment