[May 14, 2012]
Added Quadratic Equations: Factoring (Level 6) in the Algebra II section. This video continues covering the proper way to solve quadratic equations of the form ax^2+bx+c=0 by factoring. This video goes over 5 slightly harder examples that require algebraic manipulation, collecting like terms and expanding terms before proceeding with the factoring step.
[May 7, 2012]
Added Quadratic Equations: Factoring (Level 5) in the Algebra II section. This video continues covering the proper way to solve quadratic equations of the form ax^2+bx+c=0 by factoring. This video goes over 2 examples where the constant of the quadratic equation is negative. In addition, an example introducing the idea of an irreducible polynomial is also presented.
[April 27, 2012]
Added Quadratic Equations: Factoring (Level 4) in the Algebra II section. This video is an introduction to solving quadratic equations of the form ax^2+bx+c=0 by factoring. This video goes over 2 examples modeling the proper way to factor quadratic trinomials that are factorable over the integers.
[April 14, 2012]
Added Quadratic Equations: Factoring (Level 3) in the Algebra II section. This video continues covering the general procedure in solving quadratic equations by factoring. This video goes over 3 slightly harder examples modeling the proper way to factor quadratic equations of the form ax^2+bx=0. In addition, the video covers a common mistake that is associated with quadratic binomials when attempting to solve for x.
[April 8, 2012]
Added Quadratic Equations: Factoring (Level 2) in the Algebra II section. This video continues covering the general procedure in solving quadratic equations by factoring. This video goes over 3 examples modeling the proper way to factor quadratic equations of the form ax^2+bx=0 and using the zero product property as a basis to solve quadratic equations of this particular form.
[March 20, 2012]
Added Quadratic Equations: Factoring (Level 1) in the Algebra II section. This video is an introduction to solving quadratic equations by factoring. This video goes over 6 examples modeling the proper way to use the zero product property as a basis to solve quadratic equations by factoring.
[March 10, 2012]
Added Quadratic Equations (Level 3) in the Algebra II section. This video goes over 7 examples covering the proper way to solve quadratic equations of the form a(px+q)^2=0 and a(px+q)^2+c=0, the common method used to solve quadratic equations of these forms is by taking the square root.
[February 25, 2012]
Added Quadratic Equations (Level 2) in the Algebra II section. This video goes over 5 examples covering the basic notation, concepts, graphs and algorithms to solve quadratic monomials of the form ax^2=0, and quadratic binomials of the form ax^2+c=0.
[February 19, 2012]
Added Quadratic Equations (Level 1) in the Algebra II section. This video goes over the basic theory and terminology for the purpose of solving quadratic equations. Topics covered include: types of quadratic equations, the standard form of a quadratic equation, and solutions of quadratic equations.
[February 18, 2012]
Added Integration By Parts (Level 6) in the Calculus II section. This video goes over two examples, covering the proper way to find definite integrals that require the use of multiple integration techniques. Specifically, integration by parts and u-substitution.
[February 12, 2012]
Added Integration By Parts (Level 5) in the Calculus II section. This video goes over three examples, covering the proper way to find definite integrals that require the application of the integration by parts formula. An example covering the tabular method is also presented.
[February 6, 2012]
Added Integration By Parts (Level 4) in the Calculus II section. This video goes over an example, covering the proper way to find integrals that require the repeated application of the integration by parts formula specifically an integral that generates a constant multiple of the original integral. In addition, this integral will also be found by using the tabular method for integration by parts.
[February 5, 2012]
Added Integration By Parts (Level 3) in the Calculus II section. This video goes over 2 examples, covering the proper way to find integrals that require the repeated application of the integration by parts formula. In addition, the tabular method for integration by parts is also introduced.
[February 4, 2012]
Added Integers (Part 4) in the GRE section. This video is a review of basic arithmetic for the purpose of solving problems on the quantitative reasoning section of the GRE revised General Test. This video covers the basics of integers. Topics covered include: Even and Odd Integers, Sum of Even and Odd Integers, Product of Even and Odd Integers, Prime Numbers, Prime Factorization, and Composite Numbers.
[January 29, 2012]
Added Integers (Part 3) in the GRE section. This video is a review of basic arithmetic for the purpose of solving problems on the quantitative reasoning section of the GRE revised General Test. This video covers the basics of integers. Topics covered include: Division, Division as a Quotient and Reminder and Divisibility of Integers.
[January 28, 2012]
Added Integers (Part 2) in the GRE section. This video is a review of basic arithmetic for the purpose of solving problems on the quantitative reasoning section of the GRE revised General Test. This video covers the basics of integers. Topics covered include: Multiplication, Multiples, Factors (Divisors), Lowest Common Multiple (LCM), and the Greatest Common Divisor (GCD) also known as the Greatest Common Factor (GCF).
[January 22, 2012]
Added Integers (Part 1) in the GRE section. This video is a review of basic arithmetic for the purpose of solving problems on the quantitative reasoning section of the GRE revised General Test. This video covers the basics of integers. Topics covered include: Number Lines, Operations, Absolute Values, Addition and Subtraction of integers.
[January 15, 2012]
Added Integration By Parts (Level 2) in the Calculus II section. This video goes over 3 examples, covering the proper way to use the integration by parts formula. This video includes an example covering the two forms of the integration by parts formula, an example where rewriting of the integrand is required, and a final example where an integral contains a single function.
[January 8, 2012]
Added Translating Sentences into Equations (Level 2) in the Algebra I section. This video goes over 9 examples, covering the proper way to translate sentences into equations that require the use of formulas.
[January 6, 2012]
Added Translating Sentences into Equations (Level 1) in the Algebra I section. This video goes over 8 examples, covering the proper way to translate sentences usually containing the key word "is" into equations.
[December 14, 2011]
Added Three Dimensional Coordinate Systems (Level 1) in the Calculus III section. This video is a review of number lines and coordinate systems. This video goes over the basic concepts and terminology of one dimensional, and two dimensional coordinate systems. This video concludes with an introduction to three dimensional coordinate systems as a starting point to successfully study multivariable calculus.
[November 22, 2011]
Added Introduction to Geometry (Level 1) in the Geometry section. This video introduces the basic building blocks for the successful study of geometry. This video goes over the appropriate ways to denote and name points, lines, segments, rays, angles and triangles.
[November 6, 2011]
Added Piecewise Defined Functions (Level 1) in the Precalculus section.This video introduces the basic procedures to successfully graph a piece wise defined function. The video covers 4 types of restrictions that can be applied to a functions domain. In addition, the video covers 4 examples that guides you step by step in graphing a piece wise defined function.
[October 17, 2011]
Added Definitions and Terminology (Level 1) in the DE section.This video introduces the basic definitions and terminology of differential equations. The topics covered include classification of differential equations by type, order and linearity.
[October 10, 2011]
Added Introduction to Polynomials in the Algebra II section. This work sheet covers the basics of polynomials such as identifying polynomials, adding, and subtracting polynomials.
In addition, I also added Multiplication of Polynomials in the Algebra II section. This work sheet contains exercises covering multiplication of polynomials by a monomial, multiplication of a polynomial with a polynomial, multiplication of polynomials that have a special product, and 2 application problems.
Also added Division of Polynomials in the Algebra II section. This work sheet contains exercises covering division of polynomials synthetic division, and evaluating polynomials using synthetic division.
Also added Special Factoring in the Algebra II section. This work sheet contains exercises on factoring that include difference of two perfect squares, perfect square trinomials, sum and difference of two cubes, and trinomials that are quadratic in form.
Also added Solving Equations by Factoring in the Algebra II section. This work sheet contains exercises on solving polynomial equations by factoring and contains a couple of application type problems.
Also added Polynomial Inequalities in the Algebra II section. This work sheet contains exercises on nonlinear inequalities specifically polynomial inequalities.
Lastly, I also added Introduction to Rational Functions in the Algebra II section. This work sheet contains exercises on evaluation of rational functions, finding the domain of rational functions, and simplifying rational expressions.
[September 17, 2011]
Added Inequalities in Two Variables in the Algebra II section. This work sheet is designed to review the basic concepts of inequalities in two variables by graphing various inequalities in the Cartesian plane and shading the corresponding solution set.
In addition, I also added Parallel and Perpendicular Lines in the Algebra II section. This work sheet is designed to review the basic concepts of parallel and perpendicular lines. The work sheet contains exercises where a student has to determine if lines are parallel or perpendicular by graphing them and comparing slopes. In addition, this work sheet contains exercises in generating equations of lines that are parallel or perpendicular to a given line.
Also added Systems of Equations in the Algebra II section. This work sheet contains exercises covering 3x3 Systems of equations as well as various word problems that require 2x2 systems of equations to find their solution.
Also added Systems of Linear Inequalities in the Algebra II section This work sheet contains exercises covering 2x2 Systems of equations. This work sheet is designed to review the basic concepts of linear systems of inequalities in two variables by graphing 2 or more inequalities in the Cartesian plane and shading the corresponding solution set.
Lastly, I also added Exponential Expressions in the Algebra II section. This work sheet contains exercises that require knowledge of the rules of exponents. The exercises include multiplication and division of monomials, as well as exercises on scientific notation.
[September 9, 2011]
Added Review of Functions in the Algebra II section. This work sheet is ideal for reviewing basic concepts of functions such as relations, domain, range, function notation, and evaluating functions.
In addition, I also added Linear Functions in the Algebra II section. This work sheet contains exercises designed to practice graphing linear functions of various forms which include: slope intercept form, standard form, using the x and y intercepts, and 2 small application type problems are also included.
Also I added Slope of a Straight Line in the Algebra II section. This work sheet contains exercises designed to practice graphing lines given two points, and given a point and the slope of the line.
Lastly, I also added Finding Equations of Lines in the Algebra II section. This work sheet contains exercises to practice finding the equation of a line given a point and slope, given two points, and an application problem that synthesizes many of the concepts of linear functions.
