A Student-Centered Textbook

• 176 Pages and 760+ Total Exercises
• Step-by-Step Guided Lessons + Answer Key
• Encourages Thinking & Exploring
• Supports Self-Paced Learning

Book 3 of 6 in the series, this textbook supports both classroom learning and independent study, empowering students to learn at their pace, whether working collaboratively or individually. The author makes each concept easy to understand and actively engages students in a step-by-step process of building genuine understanding, rather than memorizing formulas without knowing why they work. With careful pacing, clear explanations, and a detailed answer key for timely feedback and helpful guidance, 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 a 6-book series 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 that helps students keep moving forward. 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 3 includes 2 Units, listed below.

Unit 5: Polynomial Functions & Roots

• Introduction to Cubic Functions
• Applying Transformations to Cubic Functions
• Graphing Cubic Functions
• Writing a Cubic Function
• Graphing Polynomial Functions
• The Roots of a Polynomial Function
• The Shape of a Polynomial Function at its Roots
• The Multiplicity of a Root
• Using a Calculator to Find the Roots of Polynomial FunctionRoots of Polynomial Function
• Solving Cubic Inequalities
• Finding Real Roots of Polynomials
• Making Connections Between Roots & Factors
• Synthetic Division
• Imaginary Roots of Polynomials
• Rational Root Theorem
• Polynomials with Imaginary Roots
• The Remainder Theorem

Unit 6: Inverse, Square Root & Cube Root Functions

• Notation for Inverse Functions
• Graphing Inverse Functions
• Inverses that are not Functions
• Using Composition to Prove Two Functions are Inverses
• The Square Root Function
• Applying Transformations to Square Root Functions
• Graphing Square Root Functions
• Finding the Equation of a Square Root Function
• The Domain & Range of a Square Root Function
• The Cube Root Function
• Applying Transformations to Cube Root Functions
• Graphing Cube Root Functions
• Finding the Equation of a Cube Root Function
• Domains of Square Root Functions
• Domains of Rational Functions
• Combining Square Root & Rational Functions