Brian McLogan
How do you graph a parabola using conic sections
Learn all about parabolas in conic sections. We will discover the basic definitions such as the vertex, focus, directrix, and axis of symmetry. We will also take a look a basic processes such as graphing, writing the equation and...
Brian McLogan
How to determine if 3 graphs represent a function and determine domain range
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
Graphing a quadratic function in standard form
π Learn how to graph quadratics in standard form. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. To graph a quadratic equation, we make use of a table of values and the fact that the graph of a...
Brian McLogan
Learn how to use a table to graph a quadratic equation
π Learn how to graph quadratics in standard form. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. To graph a quadratic equation, we make use of a table of values and the fact that the graph of a...
Why U
Algebra 55 - Gauss-jordan Elimination
A system of linear equations in matrix form can be simplified through the process of Gauss-Jordan elimination to reduced row echelon form. At that point, the solutions can be determined directly from the matrix, without having to convert...
Brian McLogan
Learn how to graph a word problem system of inequalities
πLearn how to solve a system of linear equations from a word problem. A system of equations is a set of more than one equations which are to be solved simultaneously. A word problem is a real world simulation of a mathematical concept....
ATHS Engineering
Creating a Pattern File in Onshape
Creating Patterns in Onshape part 1/2: In this video tutorial, we demonstrate how to create a 3D model in Onshape using dimension tools, constraints, and various shapes. We follow the PLTW curriculum activity 1.3.4, which helps users...
Catalyst University
Basal Nuclei | Direct & Indirect Pathways EXPLAINED [+ Review of Basal Nuclei Anatomy]
In this video, we review the anatomy of the basal nuclei and explore the structure and functions of the direct and indirect pathways of the basal nuclei.
Music Matters
How to Play Ornaments on the Piano - Music Performance
How to play ornaments on the piano. We take a melody and fill it with the most commonly used ornaments, explaining what all the different signs for musical ornaments are and how each should be played. The lesson covers the Trill, the...
Brian McLogan
Learn how to graph a quadratic in standard form using a table and axis of symmetry
π Learn how to graph quadratics in standard form. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. To graph a quadratic equation, we make use of a table of values and the fact that the graph of a...
Why U
Algebra 52 - An Introduction to Matrices
Matrices are an important class of mathematical object used in many branches of mathematics, science and engineering. This lecture also introduces augmented matrices, a compact easy-to-manipulate representation of systems of linear...
Why U
Algebra 63 - Gauss-Jordan Elimination with Curve Fitting
This lecture examines a useful mathematical application that can be solved by using a system of linear equations with four or more variables - finding a polynomial function whose graph passes through a given set of data points. We see...
Brian McLogan
Characteristics of a parabola with horizontal axis of symmetry
Learn all about parabolas in conic sections. We will discover the basic definitions such as the vertex, focus, directrix, and axis of symmetry. We will also take a look a basic processes such as graphing, writing the equation and...
Brian McLogan
Graphing a horizontal line by using a table of values
π Learn how to graph linear equations with one variable. When given a linear equation with one variable in the form x = a or y = c, the two forms of linear equations results in a vertical and horizontal lines respectively. The graph of...
Brian McLogan
Learn how to graph a system of linear inequalities of two vertical boundary lines
π Learn how to graph a system of inequalities. A system of inequalities is a set of inequalities which are collectively satisfied by a certain range of values for the variables. To graph a system of inequalities, each inequality making...
Brian McLogan
Graphing a quadratic by using a table and the axis of symmetry
π Learn how to graph quadratics in standard form. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. To graph a quadratic equation, we make use of a table of values and the fact that the graph of a...
Brian McLogan
Graphing a vertical linear equation from a table
π 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...
Brian McLogan
Solving a linear system of two equations by graphing
πTo solve a system of equations means to obtain a common x-value and a common y-value that makes the each of the equation in the system true. To solve a system of equations by graphing means to obtain the point of intersection (if any)...
Brian McLogan
How to graph a quadratic using vertex formula and a table
π Learn how to graph quadratics in standard form. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. To graph a quadratic equation, we make use of a table of values and the fact that the graph of a...
Brian McLogan
Graphing a quadratic using a table
π Learn how to graph quadratics in standard form. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. To graph a quadratic equation, we make use of a table of values and the fact that the graph of a...
Music Matters
The Difference Between 3:4 and 3:8 Time Signatures - Music Theory
Understand the difference between 2/2 and 4/4 time signatures. Mathematically it appears that 2/2 and 4/4 are two versions of the same thing. Musically they are quite distinct because 2/2 contains two minim beats per bar, while 4/4...
Brian McLogan
Graphing Piecewise Functions With Three Equations
π Learn how to graph piecewise functions. A piecewise function is a function that has 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
Graph a parabola using conic sections with a horizontal axis of symmetry
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...