Brian McLogan
Write the equation of the polynomial given the zeros
👉 Learn how to write the equation of a polynomial when given rational zeros. Recall that 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...
Brian McLogan
Graphing a quadratic function in vertex form with dilation
👉 Learn how to graph quadratic equations in vertex form. A quadratic equation is an equation of the form y = ax^2 + bx + c, where a, b and c are constants. The graph of a quadratic equation is in the shape of a parabola which can either...
Curated Video
GCSE Secondary Maths Age 13-17 - Algebra: Algebraic Proof - 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...
Curated Video
GCSE Secondary Maths Age 13-17 - Algebra: Solving Equations 2 - 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...
Curated Video
GCSE Secondary Maths Age 13-17 - Geometry & Measures: Circumference of a circle - 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
Write the equation of a ellipse given endpoints of major axis and length of minor axis
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...
Brian McLogan
Given the foci and vertices write the equation of a hyperbola
Learn how to write the equation of hyperbolas given the characteristics of the hyperbolas. The standard form of the equation of a hyperbola is of the form: (x - h)^2 / a^2 - (y - k)^2 / b^2 = 1 for horizontal hyperbola or (y - k)^2 / a^2...
Brian McLogan
Given a point lies on a hyperbola and two vertices, write the equation
Learn how to write the equation of hyperbolas given the characteristics of the hyperbolas. The standard form of the equation of a hyperbola is of the form: (x - h)^2 / a^2 - (y - k)^2 / b^2 = 1 for horizontal hyperbola or (y - k)^2 / a^2...
Brian McLogan
Finding the six trigonometric functions from a triangle
👉 Learn how to evaluate the six trigonometric functions given a right triangle. A right triangle is a triangle with 90 degrees as one of its angles. A right triangle is made up of two legs, which formed the sides of the 90 degrees angle...
Curated Video
Finding the Remaining Volume of Consecutive Cubes
In this video, students will learn how to describe the relationship between the volumes of two consecutive cubes using a simplified polynomial identity. The video explains the concept of consecutive integers and how to represent them...
Curated Video
Sketching the Graph of Higher Degree Polynomial Functions
In this lesson, students learn how to sketch the graph of higher degree polynomial functions by finding the x-intercepts and determining the end behavior. They are guided through the process of setting the polynomial equal to zero,...
Brian McLogan
How and when to apply synthetic division of two polynomials
👉 Learn about dividing by synthetic division. 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 the variable, the solution for...
Curated Video
How to Use and Prove the Pythagorean Theorem
This video teaches the Pythagorean theorem, explaining its proof and how to use it to find missing side lengths of a right triangle. The lesson includes key vocabulary and examples with step-by-step instructions, making it easy to...
Brian McLogan
Finding the volume of a cylinder
👉 Learn how to find the volume and the surface area of a cylinder. A cylinder is a 3-dimensional object having two circular bases and a round surface joining the bases. The vertical distance between the circular bases of a cylinder is...
Tarver Academy
Finding the y intercept of a Quadratic Equation
In This Episode, Tyler Teaches Us About Finding the y intercept of a Quadratic Equation
Curated Video
Analyzing the Multiplicity of Roots and Sign Changes in Functions
In this lesson, students will learn how the multiplicity of roots affects the graph of a function. They will understand that a double root splits the graph into two intervals with positive Y values on both sides, while roots with odd...
Flipping Physics
Graphing the Drop of a Ball from 2.0 Meters - An Introductory Free-Fall Acceleration Problem
This video continues a problem we already solved involving dropping a ball from 2.0 meters. Now we determine how to draw the position, velocity and acceleration as functions of time graphs.
Brian McLogan
What are like terms
👉 Learn how to simplify mathematics expressions. A mathematis expression is a finite combination of numbers and symbols formed following a set of operations or rules. To simplify a mathematics expression means to reduce the expression...
Brian McLogan
Determine the missing value for the length on a secant line using a tangent line
Learn how to solve problems with secant lines. A secant line is a line that intersects a circle at exactly 2 points in contrast to a tangent line which is a line that touches a circle at exactly one point. When two secant lines...
Curated Video
Algebraic Simplification: Cancelling and Factorization
This is a lecture presentation on algebraic simplification, specifically on cancelling and factorization. The presenter advises tackling numerical values first, then applying the laws of indices to simplify variables. The video includes...
Brian McLogan
Simplifying the square root of a variable expression
👉 Learn how to simplify the square root of an expression. The square root of an expression is an expression which will multiply itself twice to give the original expression. To simplify the square root of an expression, we...
Brian McLogan
How to verify a trigonometric identity
👉 Learn how to verify trigonometric identities by expanding the trigonometric expressions. When the given trigonometric expressions involve multiplications with more than one term in parenthesis, we start by expanding the expressions...
Brian McLogan
Expanding a binomial to find the antiderivative
👉 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 an indefinite integral or as a definite...