Curated Video
Naming Ordered Pairs in Exponential Functions
In this lesson, students will learn how to identify an ordered pair belonging to the same exponential function as two given ordered pairs. By understanding that exponential functions grow by equal factors on equal intervals, students can...
Brian McLogan
Learn how to solve the separable differential equation
Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution...
Curated Video
Proving the Pythagorean Theorem Using Similarity
In this lesson, students will learn how to prove the Pythagorean theorem using similarity. By investigating and following a series of steps, they will discover that by cutting a right triangle and drawing altitudes, they can create...
Brian McLogan
Learn how to take the derivative of logarithm inside of logarithm
π Learn how to find the derivative of exponential and logarithmic expressions. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the...
Curated Video
Multiplication with Positive and Negative Integers: Noticing Patterns
In this video, the teacher explains how to multiply positive and negative integers by noticing patterns. They use the example of water temperature in a swimming pool decreasing 2 degrees every hour to demonstrate the concept. By...
Brian McLogan
Solving an exponential equation using the one to one property
π Learn how to solve exponential equations. An exponential equation is an equation in which a variable occurs as an exponent. To solve an exponential equation, we isolate the exponential part of the equation. Then we take the log of both...
Brian McLogan
What is a scalar vector
Learn the basics of vector operations. Vectors can be added, subtracted and multiplied. To add or subtract two or more vectors, we add each of the corresponding components of the vectors. To multiply a scalar to a vector, we simply...
Brian McLogan
Evaluating the limit using special trig limits
π Learn how to evaluate the limit of a function involving trigonometric 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....
Brian McLogan
Product rule and double chain rule with trig
π Learn how to find the derivative of a function using the chain rule. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the derivative...
Brian McLogan
How to find the derivative of an expression then simplifying
π Learn how to find the derivative of a function using the power rule. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the derivative...
Curated Video
Adding Mixed Numbers Using Fraction Bars
This lesson begins with a review of equivalent fractions and the concept of common denominators. It then demonstrates how to deconstruct mixed numbers into fractional parts and multiply to form equivalent fractions. Finally, the video...
Brian McLogan
How to eliminate the parameter with two trigonometric equations
Learn how to eliminate the parameter in a parametric equation. A parametric equation is a set of equations that express a set of quantities as explicit functions of a number of independent variables, known as parameters. Eliminating the...
Brian McLogan
Learn how to write the formula for a sequence of fractions
π Learn how to write the rule of a sequence given a sequence of numbers. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. To write the explicit formula of...
Let's Tute
Coordinate Geometry: Section Formula and Midpoint Formula
In this video, the teacher explains the section formula in coordinate geometry and how it can be used to find the coordinates of a point that divides a line segment in a given ratio. The teacher also introduces the midpoint formula,...
Brian McLogan
Rationalizing the radical to evaluate the limit
π Learn how to evaluate the limit of a function by rationalizing the radical. 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 limit...
Brian McLogan
Learn to implicitly differentiate an equation and define through a point
π Learn how to find the derivative of an implicit function. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the derivative of a...
Brian McLogan
Determining the roots of a quadratic equation by factoring when a is not one
we find two factors of the product of the constant term (the term with no variable) and the coefficient of the squared variable whose sum gives the linear term. These factors are now placed in separate brackets with x to form the factors...
Brian McLogan
Summary for solving a system of two linear equations by elimination
πLearn how to solve a system of equations by substitution. To solve a system of equations means to obtain a common values of the variables that makes the each of the equation in the system true. To solve a system of equations by...
Brian McLogan
How to add a fraction to a mixed number with unlike denominators
π Learn how to add and subtract mixed numbers. Mixed numbers are numbers with two parts: the whole number part and the fraction part. Mixed numbers are ways to represent improper fractions using proper fractions.To add or subtract mixed...
Brian McLogan
Learn how to find the critical values of a function
π Learn how to find the critical values of a function. The critical values of a function are the points where the graph turns. They are also called the turning points of a function. To obtain the critical points of a function, first, we...
Brian McLogan
Finding the quotient and domain of two functions
π Learn how to divide two functions. We will explore the division of linear, quadratic, rational, and radical functions. To divide two functions, we simply algebraically divide the rules (contents) of the two functions. We will then...
Brian McLogan
Solve a System of Linear Equations Using Elimination
πLearn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves...
Curated Video
Multiplying Fractions by Fractions Using Area Models
In this video, the teacher explains how to multiply fractions by fractions using area models. They demonstrate the concept by using examples and visuals, making it easier for students to understand.
Curated Video
Adding and Multiplying Equations in a System of Equations
In this video, the teacher explains how to solve a system of equations by adding a multiple of one equation to the other. They review the multiplication property of equality and the addition property of equality. Through trial and error,...