Summit Math Algebra 1 Book 5: Factoring Polynomials and Solving Quadratic Equations

To help students succeed in learning math, Summit Math books start with simple, foundational concepts and build on those ideas in small steps. Written by a math teacher with 16+ years of classroom experience, this series is designed to help students learn at different paces. Learn more at summitmathbooks.com. Homeschooling? Supplement the books with a subscription to 30+ hours of step-by-step teaching videos ($9/mo. or $60/yr.). The videos provide direct instruction from an experienced teacher whenever you need additional guidance. Each book is split into 2 parts: 1) Guided Discovery Scenarios, and 2) Homework and Extra Practice Scenarios. The Guided Discovery Scenarios gradually develop new concepts, building on previously learned topics. The Homework and Extra Practice Scenarios improve your understanding and increase your ability to retain what you have learned. Each part has a separate Answer Key, which is included to promote learning. When you finish each scenario, you can check the Answer Key to see if you are ready to move on or if you need more guidance. Book 5 Contents:

Review multiplying polynomialsWriting a trinomial as a product of two binomialsFactoring a difference of two squaresFactoring a perfect square trinomialUsing factoring to solve equationsScenarios that involve factoringUsing factoring to simplify fractionsIntroduction to graphing parabolasCumulative ReviewAnswer Key

Book description:

This book builds on what students learn in Algebra 1: Book 4. Students learn how to think about multiplying polynomials in reverse order, which is known as factoring. They analyze factoring patterns that occur when a polynomial has a special structure like a difference of squares or a perfect square trinomial. They learn how to use factoring to solve quadratic equations and then they apply what they have learned as they solve a wide variety of scenarios that involve quadratic relationships. Near the end of the book, students are introduced to simplifying rational expressions, which they will study in more depth in Algebra 2: Book 4. They also learn about graphing parabolas, which they will study in more depth in Algebra 2: Book 3.