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
Subtracting Integers Using the Difference on a Number Line
In this lesson, students will learn how to subtract integers by finding the difference on a number line. They will understand that the relative size of the numbers determines the size of the difference, with a larger number minus a...
Curated Video
Writing Arithmetic Sequences Recursively and Explicitly
This video explains the concept of arithmetic sequences and demonstrates how to write them recursively using the explicit rule. It also emphasizes the importance of consistency in the common difference when identifying an arithmetic...
Curated Video
Testing Solutions to Systems of Equations
In this video, the teacher explains how to determine if a pair of numbers is a solution to a system of linear equations. By systematically testing values, the teacher demonstrates how to find the values of X and Y that satisfy both...
Curated Video
Combining Functions: Adding and Subtracting Graphs
In this lesson, students will learn how to combine the graphs of two functions by adding and subtracting. They will understand how to find the new function by adding or subtracting the expressions for each function. Additionally, they...
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 Zeros of a Quadratic Function by Factoring
In this video, you will learn how to identify the zeros of a quadratic function in standard form by factoring. By rewriting the function in factored form and setting it equal to zero, you can determine the values of X that make the...
Curated Video
Rewriting Rational Expressions to Find Missing Dimensions
In this video, the teacher explains how to find missing dimensions in area or volume problems by rewriting rational expressions. The lesson covers factoring and long division techniques to simplify expressions and determine the width,...
Curated Video
Exploring Horizontal Translations of Quadratic Equations
In this lesson, students will learn about horizontal translations of quadratic equations. They will explore different representations and understand how the functions F of X and G of X are alike and different.
Curated Video
Finding X-Intercepts of Quadratic Functions by Factoring
In this video, the teacher explains how to find the x-intercepts of a quadratic function by factoring. They clarify the difference between y-intercepts and x-intercepts and demonstrate how to use the zero product property to find the...
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.
Curated Video
Evaluating Polynomials Using Long Division
In this video, the teacher explains how to evaluate a polynomial for a given value using both substitution and long division. They demonstrate step-by-step processes for solving polynomial equations and emphasize the importance of...
Brian McLogan
Find the particular solution given the conditions and second derivative
Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution...
Curated Video
Rewriting Percent Decrease as a Multiplication Problem
In this video, the teacher explains how to write a percent decrease as a multiplication problem. Using examples of items on sale, the teacher demonstrates how to represent the original price, the discount, and the sale price as...
Curated Video
Solving Polynomial Equations: Finding Solutions and Factoring
In this video, the teacher explains how to solve polynomial equations by factoring and using the remainder theorem. They provide step-by-step examples and show how to find all the solutions to the equations.
Curated Video
Writing a Recursive Formula for an Exponential Relationship
In this lesson, students will learn how to express exponential patterns without listing all of the terms. They will learn how to write a recursive formula for an exponential relationship by looking at what happens before a particular...
Curated Video
Simplifying Expressions: Distribution and Combining Like Terms
In this video, the teacher explains how to simplify expressions by using distribution and combining like terms. They provide examples and review the concept of finding the perimeter of a rectangle. The lesson emphasizes avoiding common...
Curated Video
Using Neutral Fields to Calculate with Positive and Negative Integers
In this video, students learn how to create and use a neutral field to calculate with positive and negative integers. The concept of additive inverses and zero pairs is introduced, and students are shown how to break apart zero pairs to...
Brian McLogan
Write the equation of a tangent line of a natural logarithmic equation at a value
👉 Learn how to find and write the equation of the tangent line of a curve at a given point. The tangent of a curve at a point is a line that touches the circumference of the curve at that point. To find the equation of the tangent line...
Brian McLogan
How to solve a logarithmic equation with extraneous solution, ln(3x-2)+ln(x-1)=2ln(x)
👉 Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the...
Brian McLogan
How to find the resultant vector by vector addition
Learn how to determine the resultant vector by adding, subtracting and multiplying vectors by a scalar. We will also learn how to graph the resultant vectors to show the operations. Vectors can be added, subtracted and multiplied. To add...
Catalyst University
Catalyst University Math: Proof of the Derivative of Ln(x) (From Definition)
Catalyst University Math: Proof of the Derivative of Ln(x) (From Definition)
Brian McLogan
What is the formula for the magnitude of a vector
in this video series I will show you how to find the angle of a vector when given in component form or as a linear combination. To understand the direction of a vector it is important to go back to the unit circle and determine how we...