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Rational Functions
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Rational Functions

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Grade Level Grades 9-12
Resource Type Activity, Lesson Plan
Standards Alignment
State-specific

About This Lesson

This is a unit written for an Algebra 2 / Math Analysis compression class composed of 10-11th graders. This unit covers how to graph and transform graphs of rational functions. It starts with review of polynomials before having students explore discontinuities, end behavior and more elements of rational functions. The unit culminates in an art project where students create a picture out of a variety of functions. This will demonstrate their mastery of the functions because they must adjust the equations to have the functions come together in the desired way. While the unit is intended for a compression class, it would be appropriate for a Math Analysis / Precalculus course, though it may need to be stretched over a few more days in that situation.

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Files

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EdBrAIn uses AI to customize lesson resources for your students’ needs.

Component8Allmaterials.pdf

Activity
February 13, 2020
924.12 KB
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EdBrAIn uses AI to customize lesson resources for your students’ needs.

Ten Day Narrative Unit --Uploaded Lesson L. Alexander.docx

Lesson Plan
February 13, 2020
67.87 KB

Standards

Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.
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.
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.
Prove polynomial identities and use them to describe numerical relationships.
Know and apply the Binomial Theorem for the expansion of (? + ?)ⁿ in powers of ? and y for a positive integer ?, where ? and ? are any numbers, with coefficients determined for example by Pascal’s Triangle.
Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.
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.
Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).

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