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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
Relating Changes in Cube Edges to Volume Using Polynomial Equations
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...
Curated Video
Proving the Relationship between Side Length and Area of a Square
In this video, students learn how to prove a pattern in a relationship by squaring the sum of two terms. They are shown how to distribute the terms and simplify the expressions to arrive at an identity. The video also provides an example...
Curated Video
Polynomial Identity and Combined Area of Consecutive Squares
In this video lesson, students will learn how to describe the combined area of two squares using consecutive integers. They will explore polynomial identities and how to write expressions to represent the relationship between consecutive...
Curated Video
Finding the Remaining Volume of Consecutive Cubes
In this video, students will learn how to describe the relationship between the volumes of two consecutive cubes using a simplified polynomial identity. The video explains the concept of consecutive integers and how to represent them...
Curated Video
Proving the Polynomial Identity
In this lesson, students will learn how to prove the polynomial identity A+B quantity squared is equal to a ^2 + 2 AB plus b ^2 using an algebraic model. Through step-by-step manipulation of the expressions on both sides of the equation,...
Curated Video
Proving Algebraic Cubes Proof Using an Algebraic Model
In this video, the teacher explains why the expression (A+B)^3 is not equivalent to A^3 + B^3. They demonstrate how to prove the correct polynomial identity using an algebraic model, showing step-by-step manipulation of the expressions...
Curated Video
Finding Near Squares Using Polynomial Identities
In this lesson, students will learn how to find the nearest square of a number using a polynomial identity. They will understand the concept of a near square, which is a number that is one unit less than a perfect square. By applying the...
Sophia Learning
Sophia: Special Products Rule: Product of a Sum and a Difference
Students learn about the special product rule for Product of the Sum and Difference of Two Terms, which is useful for understanding polynomial identities. Includes short multiple-choice quiz. [3:30]
Sophia Learning
Sophia: Special Products Rule: Square of a Difference
The video lesson provides proof of the Binomial Squared of a Difference special product rule, which is useful for understanding polynomial identities. Includes short multiple-choice quiz. [3:39]
Sophia Learning
Sophia: Special Products Rule: Square of a Sum
Reviews the Binomial Square of a Sum special product rule, which is useful for understanding polynomial identities. Includes short multiple-choice quiz. [4:11]
Sophia Learning
Sophia: Recognizing the Difference of Two Squares
This video tutorial reviews how to recognize the difference of two squares, which is useful for understanding polynomial identities. Includes short multiple-choice quiz. [1:33]