TN STATE STANDARDS CONTENT RESOURCES & CONNECTIONS Polynomials and Polynomial Functions (Allow approximately 4 weeks for instruction, review, and assessment) Domain: Arithmetic with Polynomials and Enduring Understanding(s): Vocabulary Use the following Lesson(s) to introduce Rational Expressions The algebraic form of a polynomial function Monomial, degree of a monomial, concepts/build conceptual understanding. gives information about its graph. Its graph polynomial, degree of a polynomial, Cluster: Understand the relationship between gives information about its algebraic form. polynomial function, standard form of a zeros and factors of Polynomials Knowing the zeros of a polynomial polynomial function, turning point, end function gives information about its behavior Identify zeros of polynomials when suitable graph. factorizations are available, and use the zeros to A polynomial of degree n has n linear construct a rough graph of the function defined factors. The graph of the related Writing in Math by the polynomial. function crosses the x-axis an even or Why does the end behavior odd number of times depending if n is depend on the leading term? even or odd. Domain: Quantities Have students to write a Cluster: Reason quantitatively and use units Use the textbook resources to address sentence(s) and create at least two to solve problems. Essential Question(s): procedural skill and fluency. examples about their thinking. Compare properties of two functions How can algebra describe the relationship Pearson each represented in a different way 5-1 Polynomial Functions between a function and its graph? Graphic Organizer (algebraically, graphically, numerically in Glencoe tables, or by verbal descriptions). Objective(s): 6.1 Operations with Polynomials Students will classify polynomials. Lesson Videos Students will polynomials and describe end behavior.
TN STATE STANDARDS CONTENT RESOURCES & CONNECTIONS Polynomials and Polynomial Functions (Allow approximately 4 weeks for instruction, review, and assessment) Domain: Arithmetic with Polynomials and Rational Expressions Cluster: Understand the relationship between zeros and factors of Polynomials Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial. Domain: Quantities Cluster: Reason quantitatively and use units to solve problems. Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). Enduring Understanding(s): The algebraic form of a polynomial function gives information about its graph. Its graph gives information about its algebraic form. Knowing the zeros of a polynomial function gives information about its graph. A polynomial of degree n has n linear factors. The graph of the related function crosses the x-axis an even or odd number of times depending if n is even or odd. Essential Question(s): How can algebra describe the relationship between a function and its graph? Objective(s): Students will classify polynomials. Students will polynomials and describe end behavior. Use the following Lesson(s) to introduce concepts/build conceptual understanding. Use the textbook resources to address procedural skill and fluency. Pearson 5-1 Polynomial Functions Glencoe 6.1 Operations with Polynomials Lesson Videos Vocabulary Monomial, degree of a monomial, polynomial, degree of a polynomial, polynomial function, standard form of a polynomial function, turning point, end behavior Writing in Math Why does the end behavior depend on the leading term? Have students to write a sentence(s) and create at least two examples about their thinking. Graphic Organizer
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