Step by Step Math Lessons

Our math lessons are designed to make math meaningful to the student. They will guide learners through mathematical concepts, breaking down each step in a clear and understandable manner. They provide a structured approach to learning math, ensuring comprehensive understanding and proficiency. Each math lesson provides in-depth instruction ideal for learners of all ages and abilities. Choose a topic below to start your adventure.

Solving Linear Equations Lesson

Solving Linear Equations simply means finding the value of the variable(s) in any given linear equation(s) or system of equations. A linear equation is an equation with a degree of one. We will first review solving linear equations with one variable, and then discuss solving linear equations with two variables, also known as systems of […]

Pythagorean Identities Lesson

Pythagorean Identities are a set of trigonometric identities that are derived from the Pythagorean Theorem. These identities are fundamental in trigonometry and are used extensively in other mathematical contexts as well. The Pythagorean Identities are derived from the Pythagorean Theorem, which states that in any right triangle, the square of the hypotenuse is equal to […]

Special Right Triangles Lesson

Special Right Triangles are specific types of right triangles with special properties relating their angles and side lengths. The two most common types of special right triangles are the 45-45-90 and 30-60-90 triangles. In the 45-45-90 Special Right Triangle the two acute angles are congruent, each measuring 45°. The sides opposite of those acute angles […]

Point Slope Form Lesson

Point slope form is used to represent a linear equation, it is most useful when given a point on the line and the slope of the line. The point slope form equation is y – y1 = m (x – x1), where (x1, y1) is the point on the line, m and is the slope […]

Pythagorean Theorem Lesson

The Pythagorean Theorem is a fundamental principle in geometry that describes the relationship between sides of a right triangle and the hypotenuse. It states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the lengths of the legs of the triangle. In the formula below […]

Properties of Exponents Lesson

Properties of Exponents are extremely important in mathematics. We use the properties of exponents to simplify expressions with exponents. There are eight properties of exponents that will be discussed in this lesson. These properties also apply to expressions when the exponents include decimals, fractions, negative numbers, and irrational numbers. Below is the list of the […]

Volume of a Triangular Pyramid Lesson

The volume of a triangular pyramid is the measure of the space enclosed by a triangular pyramid. A triangular pyramid is a three dimensional figure where all faces are triangles. It has a triangular base and three triangular faces which meet at one vertex. If it is a regular triangular pyramid, that indicates that the […]

Arithmetic Sequence Formula Lesson

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. The constant difference used to get from one term to the next, is called the common difference, d. In simpler terms, an arithmetic sequence is one in which you add the same number each time to get the […]

What is MAD in Math? (Mean Absolute Deviation) Lesson

The Mean Absolute Deviation (MAD) is a measure of how much the values in a set of data vary from the mean value. Simply stated it is the average distance between each data point and the mean of the set of data. We can calculate the Mean Absolute Deviation by first finding the mean of […]

Perpendicular Lines Lesson

Perpendicular lines are two lines that intersect at a 90-degree angle (right angle). This means that the slopes of perpendicular lines are negative reciprocals of each other. An example of perpendicular lines in the real world would be the intersection of the floor and a wall, or two walls, because two walls intersect at 90° […]