Brian McLogan
How to determine if points create similar triangles using the distance formula
π Learn how to determine whether two triangles are similar given the coordinate points of the vertices of the triangle. Two triangles are said to be equal when the corresponding angles of the triangles are congruent (equal) or when the...
Programming Electronics Academy
3 Ways to Use Acceleration in an Arduino Sketch
This tutorial covers three easy ways to implement some form of acceleration in your Arduino sketches. It will cover the following: Linear Acceleration Exponential Acceleration Messing Around with the Square root function
Curated Video
How to Calculate Standard Deviation
This video explains how to calculate standard deviation, defines variance and standard deviation, and provides two formulas for finding standard deviation. The video also includes an example calculation of standard deviation using both...
Curated Video
GCSE Secondary Maths Age 13-17 - Pythagoras & Trigonometry: Pythagoras theorem and Trigonometry - 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
Solving a natural logarithmic equation using quadratic formula
π Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the...
FuseSchool
Multiplying & Dividing with Surds
A surd is a square root which cannot be reduced to a whole number. Surds are irrational; they are decimals that never end and never repeat, so cannot be written as fractions. Leaving a number in it's surd form is easier and more accurate...
Brian McLogan
Solving a logarithmic equation using the quadratic formula
π Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the...
Brian McLogan
How to write the explicit formula of a geometric sequence given two terms of
π Learn how to write the explicit formula for 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...
Brian McLogan
How to find all of the missing parts of a triangle by first using the law of cosines
Learn how to solve for the lengths of the sides and the measures of the angles of a triangle using the law of cosines. The law of cosines is used in determining the lengths of the sides or the measures of the angles of a triangle when no...
Brian McLogan
Applying herons formula to find the area of a triangle
Learn how to find the area of a triangle. The area of a triangle is the measure of the region enclosed by the triangle. There are several methods that can be used to find the area of a triangle depending on the available information....
Brian McLogan
Evaluate the integral using natural logarithms
π Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as indefinite integral or as a definite...
Brian McLogan
Functions of equations - IS IT A FUNCTION
π Learn how to determine whether relations such as equations, graphs, ordered pairs, mapping and tables represent a function. A function is defined as a rule which assigns an input to a unique output. Hence, one major requirement of a...
Brian McLogan
Learn to add and subtract radical expressions
π Learn how to add or subtract radicals. A radical is a number or an expression under the root symbol. Radicals can only be added or subtracted if the numbers or expressions under the roots are the same for all terms. To add or subtract...
Brian McLogan
Adding, subtracting, multiplying and dividing two functions
π Learn how to apply operations to functions such as adding, subtracting, multiplying, and dividing to two functions. To add/subtract/multiply or divide two functions, we algebraically add/subtract/multiply or add the rules (contents) of...
Brian McLogan
What does the discriminant tell us about the solutions of a quadratic equation
π Learn all about the discriminant of quadratic equations. A quadratic equation is an equation whose highest power on its variable(s) is 2. The discriminant of a quadratic equation is a formula which is used to determine the type of...
Brian McLogan
Learn how to identify if a function is a polynomial and identify the degree and LC
π Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a...
Brian McLogan
How does the discriminant relate to 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
Applying the difference of two squares to solve a quadratic
πLearn how to solve quadratic equations by factoring the difference of two squares. We can identify the difference of two squares but looking for binomials that have square terms. Difference of two square quadratic equations is of the...
Brian McLogan
Using square root method to solve a quadratic equation with one variable
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 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
Write the domain of a rational function with radicals
π Learn how to find the domain of rational functions with a radical numerator. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero...
Brian McLogan
Learn the Steps to Graph Piecewise Functions
π Learn how to graph piecewise functions. A piecewise function is a function which have more than one sub-functions for different sub-intervals(sub-domains) of the function's domain. To graph a piecewise function, we graph the different...
Brian McLogan
How to write the domain of a rational function with a radical in the numerator
π Learn how to find the domain of rational functions with radicals in both the numerator and the denominator. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function,...
Brian McLogan
Learn how to create a triangle and evaluate all six trig functions given cosecant
π Learn how to evaluate the six trigonometric functions given the value of one of the trigonometric functions. When given the value of one of the trigonometric functions of an angle, we can evaluate the values of the other trigonometric...