Curated Video
Simplifying Expressions: Distribution and Combining Like Terms
In this video, the teacher explains how to simplify expressions by using distribution and combining like terms. They provide examples and review the concept of finding the perimeter of a rectangle. The lesson emphasizes avoiding common...
Curated Video
Relating Changes in Cube Edges to Volume Using Polynomial Equations
In this video, we learn how to relate changes in the edges of a cube to changes in its volume using polynomial equations. We explore the concept of polynomial identities and how they can be used to simplify expressions and find the new...
Math Fortress
Calculus III: The Dot Product (Level 3 of 12)
This video goes over the dot product also known as the scalar product. This video goes over 11 examples illustrating how to solve problems that make use of the geometric and component definition of the dot product.
Virtually Passed
2DOF Spring Mass System Proof
This is an alternate proof for finding the natural frequencies and natural modes for a 2 DOF system. This method can always be used, but it's easier to involve matrices for larger degrees of freedom. The equation of motion can be...
Why U
Pre-Algebra 27 - Raising Exponential Expressions to Powers
If a term raised to a power is enclosed in parentheses and then raised to another power, this expression can be simplified using the rules of multiplying exponents.
Math Fortress
Calculus I: Derivatives of Polynomials and Natural Exponential Functions (Level 2 of 3)
This video will teach you the basics of calculating the derivative of simple polynomials and exponential functions using the constant multiple, sum and difference rule.
Institute of Art and Ideas
The Word and the World (long form version)
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...
Curated Video
Proving the Relationship between Side Length and Area of a Square
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...
Curated Video
Finding Solutions through Intersection on a Graph
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,...
Math Fortress
Calculus I: The Quotient Rule (Level 1 of 3)
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.
Let's Tute
Basic Trigonometry Identities
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.
Math Fortress
Calculus II : Integration By Parts (Level 6 of 6)
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.
Curated Video
Systems of Equations with No Solutions
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...
Brian McLogan
How to use the pythagorean identity to simplify an expression
👉 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...
Curated Video
Polynomial Identity and Combined Area of Consecutive Squares
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...
Virtually Passed
Optimal path to rescue friend - Math Puzzle
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...
FuseSchool
Algebraic Fractions
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...
Curated Video
Finding and Using the Multiplicative Inverse
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...
FuseSchool
Solving Algebraic Fractions
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...
FuseSchool
Inequalities
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...
Brian McLogan
How do you expand logarithmic expressions
👉 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...
Brian McLogan
Learn how to evaluate a limit by factoring
👉 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...
Brian McLogan
Evaluate the sum of two angles with cosine
👉 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...
Packt
Function Declarations & Expressions
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...