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Brian McLogan
How to solve a quadratic equation by using the square root method with irrational solutions
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
Master Writing the direct variation equation of a line through a given point
Master Writing the direct variation equation of a line through a given point
Brian McLogan
Given the first four terms of an arithmetic sequence find the rule
π Learn how to write the explicit formula for the nth term of an arithmetic 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. An arithmetic...
Brian McLogan
How does the amplitude affect your sine and cosine graphs
π Learn the basics to graphing sine and cosine functions. The sine graph is a sinusiodal graph with x-intercepts at x = 2n*pi, maximun value of 1 at x = pi/2 + 2n*pi and minimum value of -1 at x = -pi/2 + 2n*pi. The cosine graph is a...
Brian McLogan
Dividing two polynomials using synthetic division
π Learn about dividing by synthetic division when the divisor is a fraction. 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...
Brian McLogan
Dividing two simple rational expressions by factoring
Learn how to divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to divide by a fraction, we multiply by the reciprocal of the...
Catalyst University
Crystal Lattice Structures: Density Calculation 3
Crystal Lattice Structures: Density Calculation 3
Brian McLogan
Dividing two polynomials using synthetic division
π Learn about dividing by synthetic division when the divisor is a fraction. 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...
Brian McLogan
Graphing a linear equation in standard form using the intercept method
π 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...
Brian McLogan
Learn how to use the power to product and power to quotient rule with multiple exponents
π Learn how to simplify expressions using the power rule of exponents. When several terms of an expression is raised to an exponent outside the parenthesis, the exponent is distributed over the individual terms in the expression and the...
Brian McLogan
How to graph an exponential function by using a table
π 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...
Curated Video
Dividing Fractions by Fractions
In this video, students learn how to divide fractions by fractions by thinking about equal sized groups. The teacher explains the concept using visual representations and examples. Students are also reminded to check their answers using...
Curated Video
Representing Fractions Greater than One on a Number Line
In this video, the teacher explains how to represent fractions greater than one using a number line. They demonstrate different ways to show fractions, such as using area models and sets. The teacher also emphasizes the importance of...
Brian McLogan
Compose a linear function into a square root function
Compose a linear function into a square root function
NASA
NASA's Most Scientifically Complex Space Observatory Requires Precision
The James Webb Space Telescope is one the most ambitious, and technically complex missions NASA has ever set its focus on. Building an infrared observatory of this magnitude, power and complexity has never been attempted...
Brian McLogan
Solving a one step equation with the reciprocal
π Learn how to solve one step linear equations. By one step we mean equations that take one step to solve. The one step is the inverse operation needed to isolate the variable such as addition, subtraction, division and multiplication...
Brian McLogan
Solve by factoring when a perfect square
πLearn how to solve a quadratic equation by factoring a perfect square trinomial. A perfect square trinomial quadratic equation is of the form y = x^2 +2cx + c^2, where c is a perfet square. There are couple of ways we can solve a...
Brian McLogan
Given two terms find the rule of the arithmetic sequence
π Learn how to write the explicit formula for the nth term of an arithmetic 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. An arithmetic...
Brian McLogan
How to Determine the Amplitude and Period of a Graph
π Learn how to graph a cosine function. To graph a cosine function, we first determine the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the phase shift (the horizontal shift from...
Brian McLogan
Solve and write the linear factorization using the sum of two cubes
π 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
Generating Equivalent Fractions Using The Number Line
Generate equivalent fractions using the number line and equations.
Brian McLogan
Learning the basics to how to graph the sine function and its points
π Learn the basics to graphing sine and cosine functions. The sine graph is a sinusiodal graph with x-intercepts at x = 2n*pi, maximun value of 1 at x = pi/2 + 2n*pi and minimum value of -1 at x = -pi/2 + 2n*pi. The cosine graph is a...
Brian McLogan
Learn how to divide two rational monomials
π Learn how to simplify expressions by dividing its terms. Remember that dividing a fraction is the same as multiplying by the reciprocal. When multiplying expressions, each individual term of the expression is multiplied to its like...
Brian McLogan
How to find the inverse of a linear equation domain and range
π Learn how to find the inverse of a linear function. A linear function is a function whose highest exponent in the variable(s) is 1. The inverse of a function is a function that reverses the "effect" of the original function. One...