APMonitor
Mathematical Optimization with Python
This tutorial demonstrates how to solve a simple mathematical optimization problem with four variables, one objective function, one equality constraint, and an inequality constraint. The problem is solved with the APMonitor toolbox in...
Curated Video
Solving Quadratic Equations by Completing the Square
In this video lesson, you will learn how to solve any equation of the form x squared plus bx plus c equals 0 by completing the square. The teacher explains the steps involved in completing the square and demonstrates with examples....
Curated Video
Understanding Quadratic Roots: Analyzing the Discriminant
In this video, the teacher explains how to determine the nature of the roots of a quadratic equation by examining the discriminant. The discriminant is the part under the square root in the quadratic formula, and its value can indicate...
Curated Video
Modeling Quadratic Functions: Graphs and Equations
In this lesson, mathematicians will learn how to model quadratic functions by drawing graphs and writing equations. They will understand the concept of squaring a number and how it relates to the area of a square. By exploring the...
Curated Video
Finding Missing Dimensions Using the Volume Formula
In this video, students learn how to find missing dimensions of prisms using the volume formula. The teacher explains the concept of volume and demonstrates how to calculate it by multiplying length, width, and height.
Brian McLogan
Adding two functions one root one linear then find domain
👉 Learn how to add or subtract two functions. Given two functions, say f(x) and g(x), to add (f+g)(x) or f(x) + g(x) or to subtract (f - g)(x) or f(x) - g(x) the two functions we use the method of adding/subtracting algebraic expressions...
Brian McLogan
Learn to eliminate the parameter with two equations
Learn how to eliminate the parameter in a parametric equation. A parametric equation is a set of equations that express a set of quantities as explicit functions of a number of independent variables, known as parameters. Eliminating the...
Curated Video
Finding Extreme Values and Symmetry Using Vertex Form of Quadratic Functions
In this lesson, students will learn how to find extreme values and lines of symmetry using the vertex form of quadratic functions. They will review the three equal forms of quadratic functions: standard form, vertex form, and complete...
Curated Video
Finding the 9th Step in a Geometric Pattern Using a Table
In this lesson, students will learn how to find the 9th step in a geometric pattern by using a table. They will understand the concept of steps and rules in a pattern and how the number of pieces and shape change as the pattern grows. By...
Curated Video
Deriving the Quadratic Formula by Completing the Square
In this video, the teacher explains how to derive the quadratic formula by completing the square. The steps are broken down and explained clearly, making it easy for students to understand.
Curated Video
Finding Dimensions of Figures Formed by Removing Squares
In this video, students learn how to find the dimensions of a figure formed when removing a smaller square from a larger square. The teacher explains the concept of polynomial identities and demonstrates how to use them to find the...
Curated Video
Finding the Length of a Diagonal Without Using a Ruler
In this video, the teacher explains how to find the length of a diagonal without using a ruler. They demonstrate the concept by creating squares and counting the units inside and outside the square. The teacher also introduces the...
Brian McLogan
Learn how to expand a binomial to determine the derivative
👉 Learn how to find the derivative of a function using the power rule. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the derivative...
Brian McLogan
Solve an equation using the quadratic formula
👉 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...
Curated Video
Solving Quadratic Equations using the Quadratic Formula
In this video, the teacher explains how to solve quadratic equations using the quadratic formula. They highlight common mistakes to avoid, such as squaring negative numbers and correctly identifying the coefficients.
TMW Media
Shapes & Colors: Colors and shapes in real life
Matching colors to real life things. Matching shapes with real life things. Shapes & Colors, Part 6
Curated Video
Solving Quadratic Equations by Inspection
In this lesson, students learn how to solve quadratic equations by inspection. They review perfect squares and multiplying square roots, as well as common mistakes to avoid. Through examples, they learn to identify perfect square...
Curated Video
Solving Quadratic Equations by Completing the Square
In this video, the teacher explains how to solve a quadratic equation by completing the square. They demonstrate how to factor perfect square trinomials and how to create a perfect square trinomial from a non-perfect one. The teacher...
Curated Video
Solving Quadratic Equations by Completing the Square with Non-Unit Leading Coefficient
In this video lesson, students will learn how to solve quadratic equations by completing the square when the coefficient of the squared term is not 1. The teacher explains the concept of perfect square trinomials and how to identify and...
Brian McLogan
Solve with changing area using related rates
👉 Learn how to take the derivative of a function. Learn how to find the derivative of a function using the chain rule. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the...
Brian McLogan
How to find the area of a figure by using multiple figures (mistake)
👉 Learn how to find the area and perimeter of composite shapes. A composite shape is a shape that is composed of different shapes. The area of a shape is the measure of the portion enclosed by the shape while the perimeter of a shape is...
Brian McLogan
Find the derivative of the inverse of a radical equation
👉 Learn how to find the derivative of the inverse of a function. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the derivative of a...
Curated Video
Importance of Precise Definitions in Geometry
In this lesson, we explore the importance of precise definitions in geometry. We discover that imprecise definitions can lead to multiple interpretations and confusion.