Essential Vocabulary for 9th Grade Math Success | Learn Key Quadratic Function Terms

This animated math lesson introduces quadratic functions and quadratic equations vocabulary for high school Algebra students. This video supports whole group instruction, small group intervention, independent practice, and at-home remediation. Key concepts include standard form, vertex form, quadratic formula, completing the square, and essential graph features such as vertex, axis of symmetry, concavity, maximum, and minimum. This instructional video covers 26 essential quadratic terms commonly taught in Algebra courses. Students learn how quadratic expressions, quadratic equations, and quadratic functions are represented algebraically and graphically, how the leading coefficient affects the shape of a parabola, and how roots, zeros, and the discriminant are used to analyze and solve quadratic equations. This video is effective for direct instruction, review, flipped classroom use, and independent practice. The pacing and structure are appropriate for high school Algebra and introductory college algebra students. In this video, you will learn: • How quadratic functions are defined • The structure of quadratic expressions and equations • How concavity is determined • Identify and interpret the vertex, axis of symmetry, maximum, and minimum • When a quadratic function is increasing/decreasing • How standard form and vertex form represent quadratics • How horizontal and vertical shifts change a parabola • What roots and zeros represent on a graph • What the discriminant and quadratic formula do • How to recognize trinomials, perfect squares, and the difference of two squares Why this matters: Quadratic functions are a core topic in high school Algebra and appear in science, engineering, architecture, sports, and technology. Understanding how to graph parabolas, interpret quadratic equations, and solve quadratics using multiple methods builds conceptual understanding and prepares students for advanced mathematics and STEM coursework. This lesson emphasizes visual reasoning and academic language to support long-term retention and problem-solving skills. Video Index 0:00 Introduction 0:59 Quadratic 1:07 Quadratic Expression 1:17 Quadratic Function 1:29 Quadratic Equation 1:41 Degree 1:50 Representation 2:20 Vertex 2:40 Axis of Symmetry 3:01 Concavity 3:20 Maximum 3:28 Minimum 3:35 Increasing 3:42 Decreasing 3:55 Standard Form 4:04 Vertex Form 4:20 Leading Coefficient 4:29 Vertical Shift 4:37 Horizontal Shift 5:02 Root 5:11 Zeros 5:19 Discriminant 5:41 Quadratic Formula 6:02 Completing the Square 6:24 Trinomial 6:33 Perfect Square 6:45 Difference of Two Squares This video is ideal for: • 9th grade math students and teachers • Middle school math intervention and MTSS programs • Homeschool lessons • Test preparation, review, and vocabulary reinforcement • Bell ringers, warm-ups, sub plans, and math centers • Georgia math teachers following GSE • Math support at home • Students who need clear explanations and visuals How to Use This Video • Introduce or review key vocabulary • Pause to discuss definitions, examples, or problem-solving strategies • Add terms and concepts to math notebooks or journals • Reinforce math language while solving multi-step problems About this Channel Hi there! This video and others like it are designed to include real-world, complex problems that require thinking and multiple steps to solve. Today, a shift is occurring in mathematics classrooms across the US to encourage problem-solving. I create videos to help teachers increase complex problem-solving opportunities in their classrooms and help students become better problem solvers. Come explore a world of mathematics with me. Stay Connected Subscribe to my channel for more videos involving mathematics and multistep problem-solving situations. Please share this video or my channel with your friends and family! Https://www.MarvinFuller.com YouTube @MisplacedDecimal or https://bit.ly/DrF-Math Follow Me on Facebook for Updates!   / @misplaceddecimal   LinkedIn:   / misplaceddecimal   Instagram:   / misplaceddecimalllc   Tiktok:   / misplaceddecimal   Get Supporting Materials Are you interested in receiving materials to go along with each video? Complete solutions, pause points with notes, and script in Word format are available to all Patreon supporters. Consider making a difference in my life, helping me pursue my creative dreams, or showing your appreciation for my work by becoming a Patreon supporter. Visit   / misplaceddecimal   for more information. Sample lesson plans, supplemental materials, and complete solutions are available through TeachersPayTeachers: https://www.teacherspayteachers.com/S... Free Resources: Script:   / 9th-grade-vocab-148878443   Limited License ©MisplacedDecimal 2026 – All rights reserved