Chapter 11  Radical Functions
"This chapter presents opportunities for students to explore radical functions, simplify radical expressions, and solve radical equations. The chapter begins with an introduction to radical functions as inverses of power functions. Students will graph radical functions, write their equations, and determine their key characteristics. Lessons then expand on this knowledge for transformations of radical functions. In the later part of the chapter, lessons provide opportunities for students to rewrite radicals using rational exponents and extract roots from radical expressions. Students will also multiply, divide, add, and subtract radical expressions. Finally, students will analyze solution strategies for radical equations, and solve realworld problem situations using radical equations." Carnegie Textbook 
"This picture shows a surfer in a “barrel ride”—one of surfing's most soughtafter experiences. Given the right conditions, a surfer can ride inside a wave as it breaks."  Carnegie Textbook

Lesson 11.1  Inverses of Power Functions
"This lesson explores the graphical inverses of different power functions as an introduction to radical functions, including square root and cube root functions."  Carnegie Textbook Lesson 11.2  Radical Functions
"This lesson provides opportunities for students to explore the square root function and cube root function as inverses of power functions by writing their equations and describing their characteristics, such as domain and range."  Carnegie Textbook Lesson 11.3  Transformations of Radical Functions
"This lesson provides opportunities for students to apply their understanding of function transformations and transformational function form to transform square root and cube root functions."  Carnegie Textbook 
Lesson 11.4  Extracting Roots and Rewriting Radicals
"This lesson provides opportunities for students to apply and extend their knowledge of the properties of powers, rewrite radicals as powers using rational exponents, rewrite powers that have rational exponents as radicals, and extract all roots from radicals."  Carnegie Textbook Lesson 11.5  Multiplying, Dividing, Adding, and Subtracting Radicals
"This lesson provides opportunities for students to use their knowledge of radicals and powers to multiply, divide, add, and subtract radicals."  Carnegie Textbook Lesson 11.6  Solving Radical Equations
"This lesson presents the solution steps of a typical twostep quadratic equation and a radical twostep equation. Various solution strategies for radical equations are presented, and extraneous solutions are discussed."  Carnegie Textbook 