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In this section students are introduced to polynomial division. They begin by using diagrams to help reason about the distributive property. Next they explore parallels between long division with integers and long division with polynomials. They compare using the algorithm for long division with the reasoning used in completing a diagram.
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Next, using the Information Gap structure,...
In this section, students use characteristics of polynomial functions such as factors, degree, and multiplicity to sketch graphs and describe end behavior. They begin by noticing patterns between the degree of a polynomial and the shape of its graphs, learning precise language for describing what happens to the function as the inputs get larger and larger in either the positive...
In this section, students see how the standard and factored forms of a polynomial each highlight different features, and they make use of structure to move flexibly between them. Students begin by noticing patterns between the factors of a polynomial and the -intercepts of the graph of the polynomial. They extend their previous work with quadratics to generalize that if...
This section introduces students to polynomials in different forms and connects features of the equations of polynomials to their graphs.
Students begin by exploring two contexts that can be modeled by polynomials. First students cut out identical squares from each corner of a rectangular sheet of paper and then fold it to create an open-top box. The volume of the...