Instructional Video9:30
Catalyst University

Why do dead whales EXPLODE? | The Infamous Japanese Exploding Whale

Higher Ed
Have you seen the videos on Youtube in which beached, deceased whales explode? How does this occur? In this video, we delve into the biological and physical reasons for this "booming" topic.
Instructional Video3:06
Brian McLogan

Learn how to write the first five terms of a sequence by plugging in their values

12th - Higher Ed
πŸ‘‰ Learn how to find the first five terms of a sequence. Given an explicit formula for a sequence, we can find the nth term of the sequence by plugging the term number of the sequence for n in the given formula. When n = 1, 2, . . ., 5...
Instructional Video0:51
Brian McLogan

Learn how to condense natural logs separated by subtraction

12th - Higher Ed
πŸ‘‰ Learn how to condense 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 expanded...
Instructional Video1:57
Brian McLogan

Given the first term and the ratio find the nth term of a geometric sequence

12th - Higher Ed
πŸ‘‰ Learn how to find the nth term of a geometric 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. A geometric sequence is a sequence in which...
Instructional Video1:29
Brian McLogan

Condensing logarithmic expressions

12th - Higher Ed
πŸ‘‰ Learn how to condense 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 expanded...
Instructional Video6:11
Brian McLogan

Word Problems with trigonometry and triangles

12th - Higher Ed
πŸ‘‰ Learn how to solve the word problems with trigonometry. Word problems involving angles, including but not limited to: bearings, angle of elevations and depressions, triangles problems etc are solved using trigonometry. To be able to...
Instructional Video8:15
Brian McLogan

Given a formula of hyperbola in standard form find foci, asymptotes, center vertices

12th - Higher Ed
Learn how to graph hyperbolas. To graph a hyperbola from the equation, we first express the equation in the standard form, that is in the form: (x - h)^2 / a^2 - (y - k)^2 / b^2 = 1 for horizontal hyperbola or (y - k)^2 / a^2 - (x - h)^2...
Instructional Video3:55
Brian McLogan

What is the arc length of a sector and how do you find it

12th - Higher Ed
πŸ‘‰ Learn about angles in trigonometry. An angle is the figure formed by two rays sharing the same endpoint. The two rays are called the sides of the angle while the common endpoint of the two rays is called the vertex of the angle. Angle...
Instructional Video4:23
Brian McLogan

Evaluate the six trigonometric functions for the given real number

12th - Higher Ed
πŸ‘‰ Learn how to evaluate the six trigonometric functions of a given angle. When given an angle we locate the angle on the unit circle. Then using the coordinate of the terminal side of the angle on the unit circle and the definitions of...
Instructional Video1:45
Brian McLogan

ACT SAT Prep How to determine the color in a particular sequence

12th - Higher Ed
ACT SAT Prep How to determine the color in a particular sequence
Instructional Video1:51
Brian McLogan

Verify an identity using sum and difference identities

12th - Higher Ed
πŸ‘‰ Learn how to verify the sum and difference of two angles trigonometric identities using the sum/difference formulas. To verify an identity means to ascertain that the left-hand side is equal to the right-hand side of the equality sign....
Instructional Video6:07
Brian McLogan

Learn how to determine the domain and range from a table and from a graph

12th - Higher Ed
πŸ‘‰ functions are the possible output values (y-values) of the function. To find the domain of a function from a table we list out the set of the input values and for the range we list out the set of output values. To find the domain and...
Instructional Video1:06
Brian McLogan

How to solve a quadratic by factoring a GCF from two terms

12th - Higher Ed
πŸ‘‰Learn how to solve a quadratic equation by factoring out the GCF. When factoring out the GCF from an equation we will be looking for what the terms have in common. This method is very useful for quadratic equations that does not have...
Instructional Video2:46
Brian McLogan

Apply zero product property to solve a factored quadratic equation

12th - Higher Ed
πŸ‘‰Learn how to solve a quadratic equation using the zero product property. When a quadratic equation has been factored or is given in factored form, we can solve the quadratic equation by applying the zero product property. The zero...
Instructional Video2:39
Brian McLogan

How to solve a multi step equation with a variable on the same side

12th - Higher Ed
πŸ‘‰ 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...
Instructional Video5:31
Brian McLogan

Simplifying two rational expressions with complex conjugates as denominators

12th - Higher Ed
In this math tutorial I will show you how to add and subtract complex numbers. You will learn the steps in adding rational complex numbers and rational expressions with imaginary. Like polynomials when adding complex numbers we can only...
Instructional Video6:20
Brian McLogan

What is an angle

12th - Higher Ed
Learn all about angles. An angle is a figure formed by two rays sharing a common endpoint. An angle can be classified as acute, right, obtuse, straight or refrex. An acute angle is an angle which measures less than 90 degrees. A right...
Instructional Video3:02
Brian McLogan

Dividing two polynomials using synthetic division

12th - Higher Ed
πŸ‘‰ Learn about dividing by synthetic division. Synthetic division is a method of dividing polynomials by linear expressions. To divide using synthetic division, we equate the divisor to 0 and then solve for the variable, the solution for...
Instructional Video5:33
Brian McLogan

Master solving a system of equations by elimination with no solution and infinite many

12th - Higher Ed
Master solving a system of equations by elimination with no solution and infinite many
Instructional Video8:09
Brian McLogan

Using binomial expansion to expand a binomial to the sixth power

12th - Higher Ed
πŸ‘‰ Learn how to expand a binomial using binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion...
Instructional Video3:40
Brian McLogan

How to determine if a point lies on a line or not using the point and the equation

12th - Higher Ed
πŸ‘‰ Learn all about points lines and planes. In this playlist, we will explore how to how to identify, write, label all points lines, and planes. We will learn how to determine the distance between two points as well as the midpoint. Learn...
Instructional Video1:49
Brian McLogan

How to determine the converse from a conditional statement

12th - Higher Ed
πŸ‘‰ Learn how to find the converse of a statement. The converse of a statement is the switching of the hypothesis and the conclusion of a conditional statement. If the hypothesis of a statement is represented by p and the conclusion is...
Instructional Video1:37
Brian McLogan

How to identify the hypothesis and conclusion of a conditional statement

12th - Higher Ed
πŸ‘‰ Learn how to label the parts of a conditional statement. A conditional statement is an if-then statement connecting a hypothesis (p) and the conclusion (q). If the hypothesis of a statement is represented by p and the conclusion is...
Instructional Video1:10
Brian McLogan

How do the lengths of two secant lines from a point outside a circle compare

12th - Higher Ed
Learn how to solve problems with secant lines. A secant line is a line that intersects a circle at exactly 2 points in contrast to a tangent line which is a line that touches a circle at exactly one point. When two secant lines...