It explains the conditions for a relation to be equivalence relation through solved examples. It also explains equivalence classes and provides examples based on it.

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....

Solutions to Problem 7.

In this lesson, students will learn how to multiply two positive or two negative integers using a number line. They will explore the commutative property of multiplication and understand that switching the order of factors does not...

In this video, students learn how to find equivalent fractions by creating and using fraction strips. The teacher demonstrates how to fold and label the strips accurately to represent different fractions, such as halves, fourths, and...

Solutions to Problem 21.

In this video, the teacher explains how multiplying an equation by a constant affects the equation and its graph. They define constants and variables, and show how multiplying every term in an equation by a constant produces an...

In this lesson, students will learn how to solve word problems involving positive and negative fractions by using mathematical reasoning. The lesson emphasizes the importance of understanding the problem and ensuring that the final...

In this video, we learn how to relate changes in the edges of a cube to changes in its volume using polynomial equations. We explore the concept of polynomial identities and how they can be used to simplify expressions and find the new...

In this video, the teacher explains how to solve story problems with unlike fractions using number lines. The teacher demonstrates the steps to solve a specific problem about organizing post-it notes by color.

In this video, students learn how to compare fractions with different numerators and denominators by using number lines to create common denominators. The teacher explains the importance of considering both the numerators and...

If a term raised to a power is enclosed in parentheses and then raised to another power, this expression can be simplified using the rules of multiplying exponents.

Joan Dye Gussow discusses the transformative shifts in the U.S. food system, emphasizing the transition from natural, whole foods to nutritionally equivalent, processed alternatives. She critiques the impact of industrialization on food...

This video is a review of Two Dimensional Vectors. Topics include vectors in a coordinate system, vectors in standard position, and component form of a vector.

In this video lesson, students learn how to convert fractions into repeating decimals and how to visually represent them. The teacher explains the concept using examples and a number line, demonstrating that repeating decimals only have...

In this video, the teacher explains how to convert unit fractions into terminating decimals using the standard algorithm for division. The teacher provides two strategies for finding the decimal form of a unit fraction: finding an...

In this video, the teacher explains how to interpret graphical behaviors using the properties of exponents. They discuss exponential growth and decay functions, as well as transformations and reflections of these functions. The...

Circular Motion proof

Given certain parameters, how would you solve this problem?<br/>
Scalers and Vectors, Part 4

This video explains how fractional pieces that have different shapes can still be equivalent. By using cake models, the teacher demonstrates that one fourth of a rectangle and one fourth of a triangle are both equal to one fourth of a...

Case studies of companies saving money through reducing energy usage and purchasing renewable energy.

In this lesson, students will learn how to subtract mixed numbers with unlike denominators by creating area models. The lesson emphasizes the importance of having a common unit when adding or subtracting numbers, and provides...

In this lesson, students will learn how to find a common denominator for fractions with unlike denominators by creating number lines. By dividing each fraction's parts into equal divisions, they can determine a common denominator.

This video explains how to add mixed numbers with unlike denominators using area models. They review important concepts such as the numerator and denominator of a fraction, the need for a common unit when adding or subtracting, and the...