Display Title
Video Definition 21--Polynomial Concepts--Area Models with Polynomials
Display Title
Video Definition 21--Polynomial Concepts--Area Models with Polynomials
Topic
Polynomials
Description
Area Models with Polynomials: Using a grid to organize the product of two polynomials. An alternative to using the FOIL method. Example: (x + 1)(x + 2) = x2 + 2x + x + 2 = x2 + 3x + 2. The grid shows the multiplication visually: x2, 2x, x, 2. Extends the concept of area models to optimization problems, showing real-world applications of quadratic equations.
Polynomials are foundational to algebra, representing expressions with one or more terms. These terms are composed of variables raised to various powers and coefficients. Understanding their structure and function allows mathematicians to model real-world situations effectively. This video elucidates such concepts clearly.
Teacher’s Script: Let's delve into polynomials today! These mathematical expressions allow us to represent complex relationships with simple terms. The video you'll watch explores this idea in depth, focusing on how each term contributes to the polynomial's behavior. Pay attention to the examples provided; they show how to break down and understand these expressions step-by-step.
For a complete collection of videos related to Polynomials click on this link: Math Video Definitions: Polynomials Collection.
| Common Core Standards | CCSS.MATH.CONTENT.HSA.APR.A.1, CCSS.MATH.CONTENT.HSA.APR.B.2, CCSS.MATH.CONTENT.HSA.APR.C.5, CCSS.MATH.CONTENT.HSA.APR.C.4, CCSS.MATH.CONTENT.HSA.APR.B.3, CCSS.MATH.CONTENT.HSF.IF.C.7.C |
|---|---|
| Duration | 1 minutes |
| Grade Range | 8 - 12 |
| Curriculum Nodes |
Algebra • Polynomials • Polynomial Functions and Equations |
| Copyright Year | 2024 |
| Keywords | polynomials, monomials, definitions, glossary term |
