Professor Dave Explains
Dalton's Law and Partial Pressures
We know about the ideal gas laws, like Boyle's and Charles's and so forth. Now let's look at one law that involves mixtures of gases. This is called Dalton's Law, and to understand it, we have to learn about the concept of partial...
Curated Video
Solving Linear Equations with Mixed Numbers
In this video, students learn how to solve linear equations with rational numbers by using mixed numbers. The video demonstrates converting between mixed numbers and improper fractions, distributing terms, and using inverse operations to...
Curated Video
Comparing Fraction and Decimal Multiplication: Computing with Fraction Decimal Equivalents
In this lesson, students will learn to compare the outcomes of fraction multiplication with decimal multiplication by computing with fraction decimal equivalents. They will review the process of multiplying fractions and then learn how...
Curated Video
Exploring Sets of Numbers: Closed and Open Systems
In this video, we explore the concept of closed and open sets of numbers. We learn that a set is closed under an operation if applying that operation to any two members of the set always results in a member of the set. We also discover...
Curated Video
Interpreting and Solving Word Problems Involving Division of Fractions
In this video, the teacher explains how to interpret and solve word problems involving division of fractions. They use examples such as sharing string for an art project and determining the number of houses on a street. The teacher...
Curated Video
Interpreting and Solving Word Problems Involving Division of Fractions
This video explains how to interpret and solve word problems involving division of fractions. It teaches students to use the concept of finding fractional parts of wholes and emphasizes the importance of understanding the problem rather...
Brian McLogan
How to determine the domain of the sum of two functions
👉 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...
Curated Video
Efficient Ways to Check Solutions to Linear Equations
In this lesson, students will learn how to efficiently check their solutions to linear equations. They will explore different methods, such as substituting the solution back into the original equation, solving the equation using...
Brian McLogan
Learn how to simplify an expression to find 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...
Curated Video
Using Inverse Relations to Divide Whole Numbers by Fractions
In this video lesson, students learn how to solve whole number by fraction division problems using the inverse relationship of multiplication and division. The teacher explains the concept and provides examples, guiding students through...
Curated Video
Converting Decimals to Fractions Using Number Lines
In this video, the teacher explains how to convert decimals into fractions using number lines. They emphasize the importance of understanding the numerator and denominator in fractions, as well as the value of each digit in a decimal...
Curated Video
Exploring Vertical Scaling in Quadratic Equations
In this lesson, students will learn about vertical scaling in quadratic equations. They will explore how the functions F of X and H of X are alike and different, and understand the concept of vertical stretching and compressing. By...
Brian McLogan
Three examples for how to use the power rule
👉 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...
Curated Video
Interpreting and Solving Word Problems Involving Division of Fractions
In this video, the teacher explains how to interpret and solve word problems involving division of fractions. They use examples and visuals, such as a number line, to help students understand the concepts. By breaking down the problems...
Curated Video
Dividing Whole Numbers by Unit Fractions Using a Number Line
In this lesson, students learn how to divide whole numbers by unit fractions using a number line. They understand that a unit fraction has a numerator of 1, and whole numbers are counting numbers without numerators or denominators. By...
Curated Video
Comparing Fractions to the Benchmark Fraction of 1/2 Using Number Lines
In this video, students will learn how to compare fractions with different numerators and denominators to the benchmark fraction of 1/2 using number lines. The video explains the importance of understanding the numerator and denominator,...
Brian McLogan
Using operations to combine rational functions
👉 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...
Curated Video
Dividing Polynomials Using Inspection
In this video, the teacher explains how to divide two polynomials when they don't seem to factor. Through the process of inspection, the teacher demonstrates how to rewrite the division using equivalent expressions that can be factored....
Curated Video
Add Mixed Numbers Using Properties of Operations
This video explains how to add mixed numbers with like denominators using area models. Understand the importance of working with models that are divided into equal pieces and similar in size and shape. The lesson demonstrates...
FuseSchool
Types Of Numbers
We all know what numbers are 1, 2, 3, 4, 5, …. Including negative numbers -1, -2, -3, -4, -5, ... But did you know that mathematicians classify numbers into different types… into a number system. Let’s start at the top with real numbers....
Curated Video
Converting Fractions to Decimals: Tenths
In this lesson, students will learn how to convert fractions to decimals and decimals to fractions to the tenths place. They will understand that fractions represent parts of a whole or a set, and can also be shown as decimals. Through...
Curated Video
Dividing Whole Numbers by Unit Fractions Using a Number Line
In this video, students learn how to divide whole numbers by unit fractions using a number line. The teacher explains the concept of unit fractions and addresses common misconceptions about dividing by unit fractions. Through examples...
Curated Video
Dividing Fractions by Multiplying the Reciprocal
In this video lesson, students will learn how to divide fractions by multiplying the dividend by the reciprocal of the divisor. The lesson explains the concepts of proper fractions, improper fractions, and mixed numbers, and demonstrates...
Curated Video
Converting Unit Fractions to Repeating Decimals
This lesson covers the concept of rational numbers, terminating decimals, and common misunderstandings when dividing. The teacher demonstrates the conversion process with examples of 1/3 and 1/6, and also explains how to represent...