Brian McLogan
Learn how to find the value that makes a perfect square with fractions
π Learn how to find the value c that completes the square in a quadratic expression. A quadratic expression is an expression whose highest exponent in the variable(s) is 2. It is of the form ax^2 + bx + c where a, b, and c are constants....
Brian McLogan
How to use synthetic division with fractions ohh fractions
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...
Curated Video
Dividing a Whole Number by a Unit Fraction
Solve word problems involving dividing a whole number by a fraction.
Curated Video
Measuring Objects to the Nearest Fractional Inch Using a Ruler
In this video lesson, students learn how to measure objects to the nearest 1/4 inch, 1/2 inch, 3/4 inch, and 1 inch using a ruler. The lesson includes a review of fractions and how to read them, as well as a demonstration of creating a...
Brian McLogan
How to write the equation of a parabola when given a point that passes through as well
Learn how to write the equation of a parabola given a point on the parabola. 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). Recall...
Brian McLogan
Finding the solutions of the trinomial when it is not solved for zero
πLearn how to solve quadratic equations by factoring. We will focus on factoring special techniques such as the zero product property, difference of two squares, box method and guess and check. Once we have factored the quadratic...
Brian McLogan
Algebra 2 - Solving a Logarithm with a Rational Value
π Learn how to evaluate logarithms with fractions. Recall that the logarithm of a number says a to the base of another number say b is a number say n which when raised as a power of b gives a. (i.e. log [base b] (a) = n means that b^n =...
Brian McLogan
Solve Double Angle of Sine with the formula
Solve Double Angle of Sine with the formula
Brian McLogan
Graphing Cosine with Period Change and Phase Shift
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
Applying Rational Zero Test Then Find All of the Zeros
π Learn how to find all the zeros of a polynomial that cannot be easily factored. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros...
Brian McLogan
MAJOR mistake with Simplifying Rational Expressions
πIn this video I will show you one of the most common mistakes I see with my own students when simplifying rational expressions. It happens year after year, class after class and it all involves the division property
Brian McLogan
Master graphing cosecant and secant with a vertical transformation
Master graphing cosecant and secant with a vertical transformation
Curated Video
Expressing Whole Numbers as Fractions Using the Number Line (Part 1)
Express whole numbers as fractions having 1 in the denominator using the number line.
Curated Video
Constant of Proportionality
Identify the constant of proportionality when given a table or a graph.
Brian McLogan
Solving a multi-step equation by multiplying by the denominator
π Learn how to solve multi-step equations with variable on both sides of the equation. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of...
Brian McLogan
How to Find the Amplitude, Period, Phase Shift and Vertical Translation of Sine
π Learn how to graph a sine function. To graph a sine 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 the...
Brian McLogan
Why do we add intervals of pi halves to our solution
π Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include factoring out the GCF and simplifying the factored equation. Another method is to use a...
Brian McLogan
Tutorial for solving a trig equation with half angle and sine
π Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include by factoring out the GCF and simplifying the factored equation. Another method is to use a...
Brian McLogan
Complete the square to find the vertex and axis of symmetry
π 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
How to Apply the Rational Zero Test & Find the Remaining Zeros
π Learn how to find all the zeros of a polynomial that cannot be easily factored. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros...
Brian McLogan
Finding the zeros by completing the square when you have a fraction
π Learn how to solve quadratic equations by completing the square. When solving a quadratic equation by completing the square, we first take the constant term to the other side of the equation and create a perfect square trinomial with...
Brian McLogan
Synthetically dividing with a fraction
π Learn how to divide polynomials by binomial divisors using the long division algorithm. A binomial is an algebraic expression having two terms. Before dividing a polynomial, it is usually important to arrange the divisor in the...