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Unit 3 - Quadratic Functions

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Mr Kanes Counting Corner
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Grade Levels
8th - 11th
Standards
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Mr Kanes Counting Corner
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    Description

    16 lessons + teacher guides, 2 quiz/mid-unit assessments + reviews.

    Topics include graphing quadratic functions, solving quadratic equations by graphing, complex numbers, solving quadratic equations by factoring, solving quadratic equations by completing the square, using the quadratic formula and discriminant, quadratic inequalities, and liner-nonlinear systems of equations.

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    Teaching Duration
    1 month
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    Standards

    to see state-specific standards (only available in the US).
    Know there is a complex number ๐˜ช such that ๐˜ชยฒ = โ€“1, and every complex number has the form ๐˜ข + ๐˜ฃ๐˜ช with ๐˜ข and ๐˜ฃ real.
    Use the relation ๐˜ชยฒ = โ€“1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.
    Solve quadratic equations with real coefficients that have complex solutions.
    Extend polynomial identities to the complex numbers. For example, rewrite ๐˜นยฒ + 4 as (๐˜น + 2๐˜ช)(๐˜น โ€“ 2๐˜ช).
    Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret ๐˜—(1 + ๐˜ณ)โฟ as the product of ๐˜— and a factor not depending on ๐˜—.

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