Curated Video
Determining Line Intersection
In this lesson, students will learn how to determine if two lines intersect. They will explore the concept of parallel lines and perpendicular lines, and understand that parallel lines have the same slope.
Visual Learning Systems
Volume and Density: Calculating Volume
This series of videos explores the concepts of volume, mass, and density. The means by which volume and density are calculated is highlighted. Everyday examples of each make the concepts easy to understand.
Brian McLogan
Describe and solve for the zeros using quadratic formula
π Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...
Virtually Passed
Simple Truss Problem Q1 Reaction forces
This problem involves finding the reaction forces acting on a truss with a 20kN force acting on it.
Curated Video
Writing Explicit Equations for Exponential Relationships
In this video, the teacher explains how to find the explicit equation for an exponential relationship by identifying the constant multiplier and initial value. The process involves analyzing patterns in the data and using the general...
Curated Video
Finding Length of Unknown Sides: Area and Perimeter of Rectangles
In this video, we learn how to find the area and perimeter of a rectangle when the length of every side is not known. The teacher explains the formulas for calculating perimeter and area, and demonstrates how to use these formulas to...
Brian McLogan
Solving a quadratic equation with imaginary solutions
πLearn how to solve quadratic equations by factoring when a is equal to 1. A quadratic is an algebraic expression having 2 as the highest power of its variable(s). To factor an algebraic expression means to break it up into factors...
Brian McLogan
Solving a quadratic by applying the quadratic formula
π Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...
Catalyst University
Crystal Lattice Structures: Density Calculation 4
Crystal Lattice Structures: Density Calculation 4
Brian McLogan
How is the quadratic formula derived
π Learn all about the quadratic formula. The quadratic formula is a formula which can be used to find the roots of (solve) a quadratic equation. The quadratic formula is given by x = (-b +/- sqrt(b^2 - 4ac)) / 2a, where a is the...
Virtually Passed
Second Moment of Area Summary
The second moment of area (or moment of inertia of area) about the x or y axis can be found using the integral of y^2 dA and x^2 dA respectively. The larger the moment of inertia, the greater resistance to bending / rotation.
Curated Video
Finding the Perimeter of a Rectangle
In this video, the teacher explains how to find the perimeter of a rectangle using an algorithm. They clarify the difference between area and perimeter, introduce the concept of variables, and demonstrate how to use the formula for...
Brian McLogan
Solve using the quadratic formula with complex solutions
π Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...
Curated Video
Finding the Perimeter of a Rectangle: Applying the Formula
In this video, the teacher explains how to find the perimeter of a rectangle by applying a formula. They review the concept of a rectangle, its length and width, and the definition of perimeter. Using examples, the teacher demonstrates...
Let's Tute
Volume: Sphere and Hemisphere
In this video, the teacher explains how the story of the thirsty crow applies mathematical principles, and then goes on to demonstrate how to calculate the number of marbles required to raise the water level in a glass using volume...
Brian McLogan
Solving a quadratic by applying the quadratic formula
π Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...
Brian McLogan
What is a vertex
Definitions are very important to your understanding of why and how we use mathematical processes. Without understanding what a process or certain terms mean it is very hard to understand how or why to do something. That is why I want to...
Brian McLogan
How do you find the formula for the nth term of an arithmetic sequence
π Learn how to find the nth term of an arithmetic sequence. 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. An arithmetic sequence is a sequence in which...
Brian McLogan
Solving a quadratic by applying the quadratic formula
π Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...
Curated Video
Understanding Conditional Probability Using Two-Way Tables
This video teaches students about conditional probability using a two-way table. It explains how to calculate the probability of an event occurring given that another event has already occurred. Through examples and formula explanations,...
Curated Video
Calculating Price Elasticity of Supply
This video provides a comprehensive explanation of how to calculate the price elasticity of supply of a good using a simple three-step process. It explains the formula for calculating price elasticity of supply and what is meant by...
Brian McLogan
Understanding the discriminant as a part of the quadratic formula
π Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...
Curated Video
Determining Correct Units for Answers
In this video, students learn how to determine the units for their answers when using formulas. The teacher explains the importance of including units in calculations and highlights common mistakes. Through examples involving volume,...