ADDITION OF POLYNOMIALS GIZMOS-VERIFIED BY EXPERTS 2021

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Student Exploration: Addition of Polynomials Vocabulary: coefficient, constant, like terms, monomial, polynomial, zero pair Prior Knowledge Questions (Do these BEFORE using the Gizmo.) 1. Mark has ... 2 dogs and 4 cats. Jane has 1 dog and 8 fish. A. How many of each type of pet do they have, total? B. Suppose d = number of dogs, c = number of cats, and f = number of fish. Fill in the blanks below to write an equation for this problem. d + c + d + f = d + c + f 2. Fill in the blanks below to show the sum of (2x2 + 4x) and (x2 + 8). (2x2 + 4x) + (x2 + 8) = x2 + x + Gizmo Overview When you simplified the expression (2x2 + 4x) + (x2 + 8) above, you added like terms, or monomials that contain the same variables raised to the same exponents. In the Addition of Polynomials Gizmo, you will use tiles to add like terms and find the sum of polynomials of the form ax2 + bx + c. Here’s how the Gizmo works: The sum for you to find is here. Feedback will appear here. You will model the first polynomial by dragging or clicking to place the colored tiles here. After you click Continue, model the second polynomial here. Then you will combine the two groups of tiles to model the sum. [Show More]

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