This dynamic chapter explains the basics of function notation. This knowledge is essential for future lessons so the student is able to read the shown function descriptions.

In this chapter, the Virtual Teacher will explain dynamically what is the inverse of a function. Through a number of practical examples, the student should get a good understanding of how to work through the process on his / her own.

In what is probably a simpler concept than it first appears, the Virtual Teacher will go through the theory and a number of interactive examples where the student will work on evaluating the inverse of a given function.

This simple chapter formally introduces the concept of absolute value function.

Building upon the basics of the absolute value function, the student will learn how to transform this function. The Virtual Teacher will go back to basics when so that the concepts learned can be applied to any function transformation.

In this dynamic chapter, the Virtual Teacher will go through some practical examples to explain how to solve inequalities involving absolute functions.

The square root function is a basic notion in algebra. In this chapter, the Virtual Teacher will go through some of the basics of the square root function.

Building upon the concepts learned in previous chapter, along with the acquired knowledge about function transformations, this chapter deals with the impact of transformations on the square root function.

Step functions are interesting mathematical tools. They are often viewed as 'non-traditional' as they involve an 'algorithmic' side. This chapter will make it easy for the student to deal with step functions using practical examples.

This chapter deals with the inverse function as a starting point for rational functions. The peculiarities of the inverse function are viewed in detail to give the student a sound understanding.

This chapter will cover some of the basic notions in geometry. Specific emphasis is directed towards congruence of triangles which is critical for many proofs in Geometry.

Building upon the basics of previous chapters, this chapter will introduce the concept of similarity and will detail it with examples.

The right triangle is fundamental in geometry and it has many unique properties. This chapter is dedicated to the most important of these geometric properties.

This chapter covers some of the most important theorems in circles.

Building upon the basics of circles, this chapter will introduce circle arcs and their major theorems.

Following up the chapters about circles and arcs, this chapter takes a close look at angles inscribed within a circle as well as exterior angles.

This last chapter in geometry introduces distance theorems that can be used to calculate distances within a circle.

This chapter introduces the exponential function, its base and its basic properties.

This chapter will explain succintly the basics of solving equations with exponential functions.

In this interactive chapter, the Virtual Teacher will work with the student to represent real-life problems with an exponential function.

The Logarithmic function is the inverse of the exponential function with the same base. This chapter introduces the logarithmic function and its properties. The concepts are reinforced with many dynamic examples.

Building upon what we have learned so far, this interesting chapter explains the basic laws of logarithms. These laws are often critical for solving exponential or logarithmic equations.

This interactive chapter goes through some interesting and interactive examples to apply many of the concepts learned earlier.

This chapter looks at the dispersion of the data samples. In other words, how close or far are the values we are dealing with.

Correlation tries to establish if there is a link between two sets of data. This can therefore serve also as an introduction to two-variable statistics. The learned concepts can be extended to even more variables, which is a more advanced topic of study.

In this chapter, we will show how to graphically derive the regression line. Future lessons will explain how to also derive this line numerically.

This chapter goes to great lengths to explain what vectors really are and the basic properties.

This chapter deals with adding and subtracting vectors. Geometric and algebraic methods are shown and explained in great detail.

This chapter introduces vector multiplication, both scalar product (or dot product) and the multiplication of a vector by a scalar.

Given the building blocks developed in previous lessons, this chapter takes a close look at the unique properties of vector operations.

This chapter will introduce the basics of trigonometry and the ratios of the common angles (30,45,60 and 90 degree angles).

This interactive chapter will introduce radians. The Virtual Teacher will go through examples with the student to ensure proper comprehension of this new subject.

the Unit Circle is an important milestone in understanding trigonometry. Substantial dynamic animations will be used to illustrate the lessons.

The Virtual Teacher will take build upon the basic principles of the unit circle to derive the basic shape and properties of the sine function.

The Virtual Teacher and the student will go back to basic principles to get a solid understanding of the cosine function.

The tangent function is a bit different from the sine and cosine functions. In this chapter, the Virtual Teacher will guide the student in building a good understanding of the tangent.

Building upon the developed knowledge about the basic trigonometric ratios (sine, cosine and tangent), this chapter will develop the student's thinking when dealing with trigonometric identities.

In this practical chapter, the Virtual Teacher and the student will work together to solve common trigonometric equations.

This graphical introduction will help the student visualize conic sections and surfaces. Such a comprehension is critical to be able to grasp more advanced notions in future lessons.

Starting with the most basic conic, the Virtual Teacher will explain the basic properties of circles and how to use the standard form to express or draw a circle graphically.

The ellipse is an extension of the circle. Building upon the previous concepts, ellipses are studied in detail with dynamic and interactive animations to ensure student comprehension.

This chapter will cover in detail hyperbolas, starting from the definition to expressing their shape via the standard equation.

Parabolas were already viewed in some detail as the square function. This chapter will consider parabolas as conics and explain the standard function. Interactive examples will ensure student comprehension of this subject.