Instructional Video3:05
Brian McLogan

Determine the domain and range for the square root function

12th - Higher Ed
👉 Learn how to find the domain of a radical function. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a radical square-root function, there cannot be a negative number inside the...
Instructional Video10:19
Brian McLogan

Review of trigonometry Points on the Unit Circle

12th - Higher Ed
👉 Learn about the trigonometric functions using the unit circle. The trigonometric function of an angle is the value of the trigonometric functions of sine, cosine, tangent, cosecant, secant and cotangent of that angle. To use the unit...
Instructional Video6:55
Brian McLogan

Understand local linearity and formal definitions of the derivative

12th - Higher Ed
👉 Learn how to evaluate the limit of a function using the difference quotient formula. The difference quotient is a measure of the average rate of change of the function over an interval, h. The limit of the difference quotient gives the...
Instructional Video1:43
Brian McLogan

How to reflect a point over the origin

12th - Higher Ed
👉 Learn how to reflect points and a figure over a line of symmetry. Sometimes the line of symmetry will be a random line or it can be represented by the x or y-axis. Either way when reflecting a point and or figure over the line of...
Instructional Video4:25
Brian McLogan

How to graph a linear inequality in standard form and shade

12th - Higher Ed
👉 Learn how to graph linear inequalities written in standard form. Linear inequalities are graphed the same way as linear equations, the only difference being that one side of the line that satisfies the inequality is shaded. Also broken...
Instructional Video3:03
Brian McLogan

Write an equation given the slope and point intercept

12th - Higher Ed
👉 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...
Instructional Video3:59
Brian McLogan

What is slope intercept form and how do we use it to graph a line

12th - Higher Ed
👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To...
Instructional Video4:32
Brian McLogan

Graph a line by using the x and y intercepts

12th - Higher Ed
👉 Learn how to graph linear equations written in standard form. When given a linear equation in standard form, to graph the equation, we first rewrite the linear equation in slope intercept form, (i.e. in the form y = mx + c, where m is...
Instructional Video5:24
Curated Video

Understanding Linear Functions through Graph Analysis

K - 5th
Learn to define linear functions by analyzing graphs of the forms y = x and y = mx. Understand that linear functions have a constant rate of change and that the coefficient of x, also known as the slope, determines the steepness of the...
Instructional Video2:15
Brian McLogan

Determine end behavior of a polynomial

12th - Higher Ed
👉 Learn how to determine the end behavior of the graph of a polynomial function. To do this we will first need to make sure we have the polynomial in standard form with descending powers. We will then identify the leading terms so that...
Instructional Video4:51
Brian McLogan

Graphing a logarithmic function with two reflections

12th - Higher Ed
👉 Learn how to graph logarithmic functions. The logarithmic function is the inverse of the exponential function. To graph a logarithmic function, it is usually very useful to make the table of values of the function. This is done by...
Instructional Video3:12
Brian McLogan

How to write the equation of a line perpendicular to another through a point

12th - Higher Ed
👉 Learn how to write the equation of a line that is perpendicular to a given line. 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...
Instructional Video3:50
Brian McLogan

How to graph using a table and equation x + 2y = 4

12th - Higher Ed
👉 Learn how to graph linear equations from the table of points. When given the table of points of a linear equation, we plot the x and y coordinates of the given table on the cartesian plane and join the ploted points to form a straight...
Instructional Video2:49
Brian McLogan

Finding the x and y intercept and then graph

12th - Higher Ed
👉 Learn how to graph linear equations written in standard form. When given a linear equation in standard form, to graph the equation, we first rewrite the linear equation in slope intercept form, (i.e. in the form y = mx + c, where m is...
Instructional Video8:58
Curated Video

Finding Equations of Straight Lines from Coordinates

Higher Ed
This video is a presentation on how to find the equation of a straight line when given some coordinates. The presenter explains that all straight lines follow the same general equation (Y=MX+C) and defines the values of M as the gradient...
Instructional Video7:06
Curated Video

GCSE Secondary Maths Age 13-17 - Algebra: Inequalities - Explained

9th - 12th
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...
Instructional Video1:37
FuseSchool

Finding The Midpoint Of 2 Coordinates

6th - Higher Ed
In this video we discover how to find the midpoint between two points. This is useful for finding the halfway point between two places on a map, for example. We need to find the average between the two x-coordinates, and then the average...
Instructional Video2:39
FuseSchool

Finding The Equation Of A Line Through 2 Points PART 2

6th - Higher Ed
In this video we are going to look at how to find the equation of a straight line that passes through two given points (coordinates). You should already know that a straight line follows the y=mx+c format, where 'm' is the gradient and...
Instructional Video5:03
Brian McLogan

Writing the equation of a parabola given the focus and directrix

12th - Higher Ed
Learn how to write the equation of a parabola given the focus and the directrix. A parabola is the shape of the graph of a quadratic equation. A parabola can open up or down (if x is squared) or open left or right (if y is squared)....
Instructional Video3:53
Brian McLogan

Write the equation of an ellipse given the length of major and minor axis

12th - Higher Ed
Learn how to write the equation of an ellipse from its properties. The equation of an ellipse comprises of three major properties of the ellipse: the major radius (a), the minor radius (b) and the center (h, k). The ellipse is vertical...
Instructional Video7:20
Brian McLogan

What do a and b do to the transformations of a function

12th - Higher Ed
👉 Learn how to determine the transformation of a function. Transformations can be horizontal or vertical, cause stretching or shrinking or be a reflection about an axis. You will see how to look at an equation or graph and determine the...
Instructional Video5:00
Brian McLogan

Learning multiple characteristics of a parabola from the equation in vertex form

12th - Higher Ed
We will learn how to graph a quadratic in vertex form and graph a quadratic in standard form by completing the square and rewriting the equation in vertex form. When the quadratic is in vertex form we learn how to identify the axis of...
Instructional Video4:44
Brian McLogan

Learn to graph a parabola by completing the square and determine the focus & directrix

12th - Higher Ed
Learn how to graph a parabola in when it is given in general form. To graph a parabola in conic sections we will need to convert the equation from general form to standard form by completing the square. Once it is in standard form we can...
Instructional Video6:26
Brian McLogan

Learn to graph a horizontal parabola

12th - Higher Ed
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...