Summit Math Algebra 1 Book 7: Radical Expressions and Equations

By Alex Joujan

This textbook series is designed to be a dynamic classroom companion, supporting both full-class instruction and independent learning, empowering students to learn at their own pace, whether working individually or collaboratively. The author makes each concept easy to understand and engages students in the process of building genuine understanding, rather than memorizing formulas without knowing why they work. With careful pacing, clear explanations, and an answer key for detailed feedback each step of the way, the uniquely scaffolded approach allows students to learn math anywhere, at school or at home.

Written by a teacher with over 20 years of experience, each feature is designed to benefit students. Published as separate books instead of a single textbook, students feel a sense of achievement when they finish each book, making learning feel less intimidating. Each lightweight book has 2 parts. The first half uses small steps to guide students through the process of constructing each concept, while the second half provides additional practice to reinforce learning and improve retention. Every section includes an answer key to provide teacher-like feedback each step of the way. This curriculum is named Summit Math to reflect the author's belief that learning is like hiking. Anyone can reach the summit, at their own pace, if they keep taking small steps.

Book description:
In this book, students learn that a root is the inverse operation for an exponent because the purpose of a root is to undo the operation of an exponent. After learning about square roots, cube roots, fourth roots, et cetera, students focus on radical expressions that involve square roots for the majority of the book. They learn how to simplify radical expressions and then they learn how to perform operations of addition, subtraction, multiplication and division. Later in the book, they learn how to solve radical equations. The Pythagorean Theorem is the final topic explored in this book. Students learn about its origin and then learn how to solve a variety of scenarios that involve right triangles. This book builds on Algebra 1: Book 5.

Book 7 Contents: Review exponents and square rootsRational and irrational numbersSimplifying radical expressionsAdding and subtracting radical expressionsMultiplying radical expressionsDividing radical expressionsSolving radical equationsUsing a disguised form of 1 to rationalize a denominatorThe Pythagorean TheoremCumulative ReviewAnswer Key

• Format: Paperback
• Language: English
• ISBN: 1712427172
• ISBN13: 9781712427170
• Release Date: January 2020
• Publisher: Independently Published
• Length: 118 Pages
• Weight: 0.75 lbs.
• Dimensions: 0.3" x 8.5" x 11.0"