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Unit 4 - Polynomial Functions & Operations

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Mr Kanes Counting Corner
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Grade Levels
9th - 12th
Standards
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Mr Kanes Counting Corner
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    Description

    9 lessons covering polynomial graph features, polynomial operations (addition, subtraction, multiplication, and division), and expanding binomials (pascal's triangle and binomial theorem). Teacher Guides included. Each lesson is designed for a 60 min class period, including student discussion.

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    Teaching Duration
    2 Weeks
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    Standards

    to see state-specific standards (only available in the US).
    Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.
    Know and apply the Binomial Theorem for the expansion of (𝘹 + 𝘺)ⁿ in powers of 𝘹 and y for a positive integer 𝘯, where 𝘹 and 𝘺 are any numbers, with coefficients determined for example by Pascal’s Triangle.
    Rewrite simple rational expressions in different forms; write 𝘒(𝘹)/𝘣(𝘹) in the form 𝘲(𝘹) + 𝘳(𝘹)/𝘣(𝘹), where 𝘒(𝘹), 𝘣(𝘹), 𝘲(𝘹), and 𝘳(𝘹) are polynomials with the degree of 𝘳(𝘹) less than the degree of 𝘣(𝘹), using inspection, long division, or, for the more complicated examples, a computer algebra system.
    For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship.
    Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.

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