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Radical Functions and Rational Exponents (Algebra 2 - Unit 6) | Math Lion

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Grade Levels
8th - 12th, Homeschool
Standards
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Pages
89 pages
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Description

This unit includes PowerPoint presentations, coordinated guided notes with answers, a mid-unit quiz, and unit test covering Radical Functions and Rational Exponents. The PowerPoint includes warm ups (do-now or bell ringer), key concepts, and examples for students to follow.

8 lessons included! The lessons are 30 - 45 minutes each.

6.1: Roots and Radical Expressions

6.2: Multiplying an d Dividing Radical Expressions

6.3: Binomial Radical Expressions

6.4: Rational Exponents

6.5: Solving Square Root and Other Radical Equations

6.6: Function operations

6.7: Inverse Relations and Functions

6.8: Graphing Radical Functions

Unit Essential Questions:

To simplify the nth root of an expression, what must be true about the expression?

When you square each side of an equation, is the resulting equation equivalent to the original?

How are functions and its inverse related?

Total Pages
89 pages
Answer Key
Included
Teaching Duration
1 month
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Standards

to see state-specific standards (only available in the US).
Use the structure of an expression to identify ways to rewrite it. For example, see ๐˜นโด โ€“ ๐˜บโด as (๐˜นยฒ)ยฒ โ€“ (๐˜บยฒ)ยฒ, thus recognizing it as a difference of squares that can be factored as (๐˜นยฒ โ€“ ๐˜บยฒ)(๐˜นยฒ + ๐˜บยฒ).
Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.
Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.
Combine standard function types using arithmetic operations. For example, build a function that models the temperature of a cooling body by adding a constant function to a decaying exponential, and relate these functions to the model.
Solve an equation of the form ๐˜ง(๐˜น) = ๐˜ค for a simple function ๐˜ง that has an inverse and write an expression for the inverse. For example, ๐˜ง(๐˜น) =2 ๐˜นยณ or ๐˜ง(๐˜น) = (๐˜น+1)/(๐˜นโ€“1) for ๐˜น โ‰  1.

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