Brian McLogan
Rewriting an equation in slope intercept form to identify the slope and y intercept
π Learn how to write the equation of a line in a point-slope form. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents in its variable(s)). There are various forms which we can...
Brian McLogan
How to solve and graph a compound inequality as AND
π Learn how to solve and graph compound linear inequalities. A compound inequality is an inequality having more than 1 inequality sign. To solve compound inequalities, we use inverse operations, applying the inverse operation to each...
Brian McLogan
Solving a two step equation with multiplication fractions
π Learn how to solve two step linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. To solve for a variable in a two step linear equation, we first isolate the variable by using inverse...
Brian McLogan
Using Parallel Lines to Find the Measure of Angles
π Learn how to solve for an unknown variable using parallel lines and a transversal theorems. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry,...
Brian McLogan
Apply alternate interior angles to solve for x with an extra transversal
π Learn how to solve for an unknown variable using parallel lines and a transversal theorems. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry,...
Brian McLogan
Geometry -Solve the missing length using the triangle bisector theorem
π Learn how to solve with similar triangles. Two triangles are said to be similar if the corresponding angles are congruent (equal). Note that two triangles are similar does not imply that the length of the sides are equal but the sides...
Brian McLogan
Using Two Congruent Triangles to Find the Value of X and Y
π Learn how to solve for unknown variables in congruent triangles. Two or more triangles are said to be congruent if they have the same shape and size. When one of the values of a pair of congruent sides or angles is unknown and the...
Catalyst University
Postulates of Quantum Mechanics: Eigenvalues & Eigenfunctions
Postulates of Quantum Mechanics: Eigenvalues & Eigenfunctions
Brian McLogan
Master writing a two column algebraic proof
Master writing a two column algebraic proof
Brian McLogan
Solving an exponential equation with the base of four
π Learn how to solve exponential equations involving fractions. An exponential equation is an equation in which a variable occurs as an exponent. To solve an exponential equation, we make the base of both sides of the equation to be...
Brian McLogan
Overview of logs - Free Math Help - Help on math
π Learn how to convert an exponential equation to a logarithmic equation. This is very important to learn because it not only helps us explain the definition of a logarithm but how it is related to the exponential function. Knowing how...
Brian McLogan
Solving exponential equations by using one to one property of logs
π Learn all about solving exponential equations. In this playlist, we will explore how to solve exponential equations by using a calculator as well as without. We will explore applying the one to one property and solving exponential...
Brian McLogan
Solving a basic exponential equation
π Learn how to solve exponential equations in base e. An exponential equation is an equation in which a variable occurs as an exponent. e is a mathematical constant approximately equal to 2.71828. e^x is a special type of exponential...
Brian McLogan
Graph a horizontal parabola when the distance to the focus is a fraction
Learn how to graph a horizontal parabola. A parabola is the shape of the graph of a quadratic equation. A parabola is said to be horizontal if it opens to the left or opens to the right. A horizontal parabola results from a quadratic...
Brian McLogan
How to label an oblique triangle
π Learn how to solve for the length of the sides and the measures of the angles of a triangle using the law of sines. The law of sines is used in determining the length of the opposite side to a known angle measure or the measure of the...
Visual Learning Systems
Exploring Landforms: Valleys and Canyons
The video is discussing valleys and canyons as landforms. It starts by describing a valley and uses Yosemite Valley in California as an example. The video also mentions that water often rushes down into valleys and compares canyons to...
Brian McLogan
How do we determine the relationships of a 45 45 90 triangle
π Learn about the special right triangles. A special right triangle is a right triangle having angles of 30, 60, 90, or 45, 45, 90. Knowledge of the ratio of the length of sides of a special right triangle enables us to solve for any...
Brian McLogan
Solving Exponential equations
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
Solve a quadratic by applying the square root method
πLearn how to solve quadratic equations using the square root method. It is important to understand that not all quadratics have to be solved using factoring or quadratic formula. When we only have one variable but it is squared we can...
Brian McLogan
Solving and graphing a one variable inequality with variable on both sides
π Learn how to solve multi-step linear inequalities having no parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e....
Brian McLogan
Learn to identify the slope & y intercept when an equation is not in slope intercept form
π Learn how to write the equation of a line in a point-slope form. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents in its variable(s)). There are various forms which we can...
Brian McLogan
What is the sum of interior angles for a nonagon
π Learn how to determine the sum of interior angles of a polygon. A polygon is a plane shape bounded by a finite chain of straight lines. A regular polygon is a polygon whose sides are congruent (equal). The interior angle of a polygon...
Brian McLogan
What are the polygons and their interior angle sum from 3 sides to 10
π Learn about the interior and the exterior angles of a polygon. A polygon is a plane shape bounded by a finite chain of straight lines. The interior angle of a polygon is the angle between two sides of the polygon. The sum of the...
Brian McLogan
Classify a polygon as concave, convex, regular or irregular ex 1
π Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which...