This lesson covers the importance of both the numerator and denominator in understanding the size of a fraction. Through visual representations, such as area models and number lines, the teacher demonstrates how to compare fractions to...

In this video, a teacher explains that fractions represent values and that both the numerator and denominator must be considered when comparing fractions. Through the use of examples and visual representations, students understand that...

In this lesson, students will learn how to complete the square in quadratic equations using both models and symbols. They will understand the steps involved in transforming a quadratic equation and how to factor perfect squares.

Learn how to rewrite a quadratic expression so that all of the variable terms are contained in a perfect square. We explore this process using area blocks and show how to complete the square in an expression. We also emphasizes the...

In this video, the teacher explains why (A+B)^2 is not equal to A^2 + B^2 and demonstrates how to prove the correct expansion using an area model. By visually representing the square of a binomial, the teacher shows that it consists of...

In this video, the teacher explains how to multiply fractions by fractions using area models. They demonstrate the concept by using examples and visuals, making it easier for students to understand.

Learn how to add fractions with like denominators using an area model. They demonstrate the common mistake of adding numerators and denominators without understanding how to add fractions properly. Through examples and visuals, students...

Learn how to complete the square with or without a model when the coefficient of x^2 (a) is greater than one. Explore the process step by step, using both an area model and the traditional method. By comparing the two approaches, you...

In this video, the teacher explains how to expand linear expressions with fractions using an area model and the distributive property. They cover important vocabulary such as linear expression and rational coefficients, and also discuss...

This video teaches students how to subtract fractions with like denominators using an area model. It explains the concept of numerators and denominators, emphasizing that only the numerators need to be subtracted to determine the...

In this video, students learn how to subtract mixed fractions using an area model. The teacher explains the importance of understanding the different parts of a fraction and demonstrates how to represent fractions using area models....

In this video, the teacher explains how to multiply a fraction by a mixed number using visual representations. The lesson begins with a review of fractions and their parts, the numerator and denominator.

In this video, the teacher explains how to write algebraic expressions for real-world scenarios. They emphasize the importance of defining unknown variables and correctly ordering them in relation to the operations. Through examples...

In this video, the teacher explains how to make fractions equivalent when their denominators are different. The students learn to create equivalent fractions by multiplying both the numerator and denominator of a fraction by the same...

In this lesson, students will learn how to multiply whole numbers by mixed numbers using area models. The teacher explains the concept by demonstrating how to draw rectangular arrays and divide them to represent the mixed numbers.

In this video, the teacher uses area blocks to visually represent the polynomial and demonstrates how to rearrange the blocks to form completed squares. By adding and subtracting blocks, the teacher shows how the expression can be...

In this video, the teacher explains how to add mixed numbers using an area model. They emphasize the importance of understanding the whole number and fraction components of a mixed number, and how to correctly represent them in the area...

In this video, the teacher explains how to determine if a number is prime or composite using area models. They demonstrate that prime numbers have only one set of factors, while composite numbers have multiple sets of factors.

In this video, students learn how to add mixed numbers using an area model. The teacher explains the common mistake of not understanding the significance of the whole number in the mixed fraction. Through the use of area models, students...

In this video, the teacher explains how to write algebraic expressions for real-world scenarios by using an area model. The examples given involve buying CDs and distributing pencils evenly among students. The teacher emphasizes the...

In this lesson, students learn how to represent fractions as a sum of unit fractions using an area model. They are taught that the denominator of a fraction represents the total number of parts in the whole, while the numerator...

In this video, students learn about factoring expressions using the distributive property and area models. The video explains how to break down an expression into common factors and create equivalent expressions.

In this lesson, mathematicians will learn how to solve multiplication problems using the area model. By representing multiplication as an array with rows and columns, students can visualize the concept of area and apply it to solve...

In this video, students learn how to compare fractions with different numerators and denominators by using area models to create common denominators. The teacher emphasizes the importance of considering both the numerator and denominator...