Curated Video
Conservation of Momentum in Collisions
The video is a lecture on the conservation of momentum. It explains how momentum is calculated, how changes in momentum can be written in terms of force and time, and the concept of Newton's third law. The video then shows how these...
Brian McLogan
How to add, subtract, multiply and divide fractions, 2/3 + 3/5
π Learn how to add and subtract fractions whose denominators are not the same. Recall that when we want to add or subtract fractions having the same denominator, we add the numerators and retain the (common) denominator. This is...
Curated Video
Dividing Mixed Numbers by Fractions by Multiplying by the Reciprocal
In this video lesson, students learn how to divide mixed numbers by fractions by multiplying by the reciprocal. The teacher explains the concept using real-life examples and models, demonstrating different strategies for solving division...
Why U
Algebra 47 - Describing Infinte Solution Sets Parametrically
When the graph of the solutions of a system of linear equations in three variables is a line in Cartesian space, the solutions can be described either by a group of three parametric equations, or a parametric ordered-triple. This lecture...
Brian McLogan
Learn to write the resultant vector from the difference of two vectors
Learn how to add/subtract vectors. Vectors can be added, subtracted and multiplied. To add or subtract two or more vectors, we simply add each of the corresponding components of the vectors.
Curated Video
Generating Perfect Squares: Visual Exploration and Definition
In this video, students learn about perfect squares and how to generate them. They explore the concept of a square and its area, understanding that perfect squares have integer side lengths. The video also addresses common misconceptions...
Brian McLogan
Learn how to visualize the difference of two vectors
Learn how to determine the resultant vector by adding, subtracting and multiplying vectors by a scalar. We will also learn how to graph the resultant vectors to show the operations. Vectors can be added, subtracted and multiplied. To add...
Curated Video
Understanding Efficiency: Examples and Equations
In this video, the concept of efficiency is discussed in relation to devices that transfer energy from one form to another. The video provides three examples of calculating efficiency, including a light bulb, a speaker, and an electric...
Brian McLogan
How do you solve one step equation
π Learn all about the processes and definitions for solving linear equations. You will gain a better understanding about the vocabulary and steps used to solve liner equations such as how to isolate an equation and apply inverse...
Curated Video
Dividing Whole Numbers by Fractions: Multiplying by the Reciprocal
In this lesson, students will learn how to divide whole numbers by fractions by multiplying by the reciprocal. They will understand the concept through models and examples, and also learn how to use multiplication to solve fraction...
Curated Video
Solving Linear Equations with Rational Numbers and Fractions
In this lesson, students will learn how to solve linear equations with rational numbers, focusing on examples involving fractions. They will explore different methods, such as distributing fractions or multiplying both sides by a...
Curated Video
Multiplying Positive and Negative Integers Using the Distributive Property
This video lesson explains the rules for multiplying a positive integer by a negative integer using the distributive property. It emphasizes the importance of not overlooking the second number when using the distributive property and...
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...
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
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
Proving the Algebraic Squares Proof Using an Area Model
In this video, the teacher explains why (A+B)^2 is not equal to A^2 + B^2 and demonstrates how to prove the correct expansion using an area model. By visually representing the square of a binomial, the teacher shows that it consists of...
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
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
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...
Brian McLogan
Finding the rule for a linear function when given a table - How to solve math problems
π How to write the rule of a function given the table of values. To write the rule of a function from the table is somehow tricky but can be made easier by having prior knowledge of the type of function. If the function is a linear...
Brian McLogan
Write a rectangular equation in polar form
Learn how to convert between rectangular and polar equations. A rectangular equation is an equation having the variables x and y which can be graphed in the rectangular cartesian plane. A polar equation is an equation defining an...
Brian McLogan
Learn how to add two mixed numbers 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
Graphing a vector by applying a negative scalar
Learn how to determine the resultant vector by adding, subtracting and multiplying vectors by a scalar. We will also learn how to graph the resultant vectors to show the operations. Vectors can be added, subtracted and multiplied. To add...