Brian McLogan
Master how to determine the center, vertices, foci by completing the square of an ellipse
Master how to determine the center, vertices, foci by completing the square of an ellipse
Brian McLogan
What you need to know: Conic Sections
In this video I attempt to prepare you for our chapter on Conic Sections. We will do this by first covering completing the square and then identifying the midpoint as well as endpoint when given two points. We will then work on writing...
Brian McLogan
Pre-Calculus - Learn the basic operations of complex numbers
In this math tutorial I will show you how write a complex number in standard form after simple operations have been performed. You will learn how to find the value of real and imaginary numbers in a complex number and then write it in...
Brian McLogan
Learn how to graph an exponential equation with a new y intercept and no transformations
👉 Learn how to graph exponential functions. An exponential function is a function that increases rapidly as the value of x increases. To graph an exponential function, it is usually very useful to make the table of values of the...
Brian McLogan
Determine the values that make the equation true
👉 Learn how to solve rational equations. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. There are many ways to solve rational expressions, one...
Brian McLogan
Learn how to solve a polynomial using the difference of two cubes and quadratic formula
👉 Learn how to find the zeroes of a polynomial equation/expression involving the sum/difference of two cubes. Given a polynomial having the sum of two cubes, the polynomial can be factored as follows: a^3 + b^3 = (a + b)(a^2 - ab + b^2)....
Curated Video
Introduction to Orders of Magnitude in Chemistry
This video explains the concept of orders of magnitude and how it can help in expressing very small and very large numbers conveniently in chemistry calculations. The video covers the use of decimal prefixes for small and large numbers...
Brian McLogan
Solve a system by substitution
👉Learn 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
Find the linear equation given two points
👉 Learn how to write the equation of a line given two points on the line. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents on its variable(s)). There are various forms which...
Curated Video
GCSE Secondary Maths Age 13-17 - Number: Standard Form - Explained
SchoolOnline's Secondary Maths videos are brilliant, bite-size tutorial videos delivered by examiners. Ideal for ages 13-17, they cover every key topic and sub topic covered in GCSE Maths in clear and easy to follow steps. This video...
Brian McLogan
Learn step by step how to graph a hyperbola with center off the origin
Learn step by step how to graph a hyperbola with center off the origin
Brian McLogan
Identify the center, foci, vertices and asymptotes then sketch graph of hyperbola
Identify the center, foci, vertices and asymptotes then sketch graph of hyperbola
Brian McLogan
How to find the equation of an hyperbola
Learn how to write the equation of hyperbolas given the characteristics of the hyperbolas. The standard form of the equation of a hyperbola is of the form: (x - h)^2 / a^2 - (y - k)^2 / b^2 = 1 for horizontal hyperbola or (y - k)^2 / a^2...
Brian McLogan
Sketch the Angle in Standard Position
👉 Learn how to sketch angles in terms of pi. An angle is the figure formed by two rays sharing the same endpoint. Angle is measured in radians or in degrees. One complete revolution about a point is equivalent to 2pi radians and 360...
Brian McLogan
Rewriting a number in DMS form to decimal form
👉 Learn how to convert angles from DMS forms to decimal forms. DMS means Degree, Minutes, and Seconds. Minutes is represented by a single apostrophe (') while seconds is represented with double apostrophe ("). 60 seconds = 1 minute and...
Brian McLogan
Find two coterminal angles for a negative angle in standard form
👉 Learn the basics of co-terminal angles. An angle is a figure formed by two rays that have a common endpoint. The two rays are called the sides of the angle while the common endpoint is called the vertex of the angle. We measure angles...
Brian McLogan
Find the vertex of a parabola using transformations
👉 Learn how to identify the vertex of a parabola by completing the square. A parabola is the shape of the graph of a quadratic equation. A quadratic equation can be written in the standard form (i.e. in the form y = ax^2 + bx + c) or it...
Brian McLogan
Algebra 2 - Math tutorial for simplifying a radical using the imaginary number i, sqrt(-144)
In this video playlist you will learn how to simplify complex numbers under a radical as well as raised to a higher power. You will learn to add, subtract, multiply and divide complex numbers to write in simplified standard form. When...
Brian McLogan
Write the quadratic in vertex form from standard form
Write the quadratic in vertex form from standard form
Brian McLogan
Student Mistakes with COMPLETING THE SQUARE
Completing the square is a common process that students struggle with that I am no stranger to. In this video I will highlight the mistakes I made as well as my students.
Brian McLogan
Standard form to vertex form of a quadratic
👉 Learn how to identify the vertex of a parabola by completing the square. A parabola is the shape of the graph of a quadratic equation. A quadratic equation can be written in the standard form (i.e. in the form y = ax^2 + bx + c) or it...
Brian McLogan
Pre-Calculus - Find the values of a and b of a complex number in standard form (3a-1)+(4b+5)i=4-7i
In this video I show you how to find the value of a and b of complex number when you have two complex numbers equal to each other. When two complex numbers are equal to each other the values of a and b must be equal to one another....
Brian McLogan
Master Writing the equation of a line through a point given the slope
Master Writing the equation of a line through a point given the slope