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Unit 4:  Rational & Radical Functions
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Description

In Unit 4 we will explore rational functions and discuss the unique behavior of their graphs. We will shift our focus from the behaviors of the functions to simplifying expressions that are rational and eventually to solving equations containing multiple rational terms.

We will close the unit by reviewing exponent properties and then by solving equations involving square roots.

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Unit 4: Rational & Radical Functions

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Highlights

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Grades
10th - 12th
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Subjects
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Standards
Pages
16
Answer Key
Included
Teaching Duration
2 Weeks

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This bundle contains editable Word documents for each lesson taught in my Algebra II Honors course. It has been implemented and refined systematically over the past 3 school years and has proven to be an effective and thorough curriculum at my Charter school in Brooklyn, NY in achieving high scores
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Description

In Unit 4 we will explore rational functions and discuss the unique behavior of their graphs. We will shift our focus from the behaviors of the functions to simplifying expressions that are rational and eventually to solving equations containing multiple rational terms.

We will close the unit by reviewing exponent properties and then by solving equations involving square roots.

Report this resource to TPT
Reported resources will be reviewed by our team. Report this resource to let us know if this resource violates TPT's content guidelines.

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Questions & Answers

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Standards

to see state-specific standards (only available in the US).
Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 3² × (3⁻⁵) = (3⁻³) = 1/3³ = 1/27.
Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. For example, we define 5 to the 1/3 power to be the cube root of 5 because we want (5 to the 1/3 power)³ = 5 to the (1/3)(3) power to hold, so (5 to the 1/3 power)³ must equal 5.
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.
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