The power of words is a wonder, and language perhaps our greatest skill. Yet the gap between the sound of a bell and its description is huge. Are the limits to language so profound that the big questions of science and philosophy are...

In this video, students learn how to prove a pattern in a relationship by squaring the sum of two terms. They are shown how to distribute the terms and simplify the expressions to arrive at an identity. The video also provides an example...

In this video, the teacher explains how to find the solutions to a system of equations by graphing them and looking for points of intersection. They demonstrate that a system of equations can have one, more than one, or no solutions,...

This video will teach you how to find the derivative of functions formed by a quotient of functions by using the quotient rule and going over 3 examples.

In this video we will learn what is Basic Trigonometry Identities. We will cover the topics such has Trigonometry Identities, Equations & Identities, Application, Some Questions and Derivation.

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.

In this video, the teacher explains the concept of systems of equations with no solutions. They demonstrate this by graphing two equations and showing that they have parallel lines with no points of intersection. They also explain how to...

In this video lesson, students will learn how to describe the combined area of two squares using consecutive integers. They will explore polynomial identities and how to write expressions to represent the relationship between consecutive...

👉 Learn how to simplify rational identities involving addition and subtraction. To simplify rational identities involving addition and subtraction, first, we find the LCM of the denominators which most time is the product of the terms in...

Your friend starts moving in a line with a speed u. You arrive T seconds later and can drive after him in whatever path you like with a speed v. What path guarantees you intersect his position? Timestamps: 0:00 - Introduction & Question...

Algebraic fractions are simply fractions with algebraic expressions either on the top, bottom or both. We treat them in the same way as we would numerical fractions. In this video we look at how to simplify algebraic fractions, and how...

In this video, you will learn how to find the multiplicative inverse of a number and use it to write equivalent expressions. The multiplicative inverse, also known as the reciprocal, is the number that, when multiplied by the original...

Algebraic fractions are simply fractions with algebraic expressions either on the top, bottom or both. We treat them in the same way as we would numerical fractions. In part 1 we saw how to simplify, and add and subtract algebraic...

CREDITS Animation & Design: Jean-Pierre Louw Narration: Lucy Billings Script: Lucy Billings An equal’s sign means two expressions are equal to one another. But sometimes the expressions are not equal… we might only know that something is...

👉 Learn how to condense/expand logarithmic expressions. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions from the...

👉 Learn how to evaluate the limit of a function involving rational expressions. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The...

👉 Learn how to evaluate the cosine of an angle in radians using the sum/difference formulas. To do this, we first express the given angle as a sum or a difference of two (easy to evaluate) angles, then we use the unit circle and the...

JavaScript Language Fundamentals: Function Declarations & Expressions This clip is from the chapter "JavaScript Language Fundamentals" of the series "Modern JavaScript from the Beginning".In this section, you will learn the important...

In this lesson, students will learn the difference between expressions and equations. They will understand that expressions represent values and can be simplified, but not solved. On the other hand, equations equate two expressions and...

👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite...

In this lesson, students will learn how to determine which quantities combined can make zero using algebraic expressions. Through examples and explanations, they will understand the concept of balancing positive and negative charges,...

👉 Learn how to evaluate the limit of a piecewice function. A piecewise function is a function that has different rules for a different range of values. The limit of a function as the input variable of the function tends to a number/value...

In this video, the teacher explains how to represent real-life situations by writing mathematical expressions. They use examples of earning money over multiple weekends and calculating the cost of ice cream based on the number of scoops

👉 Learn how to condense/expand logarithmic expressions. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions from the...