Help your high school students master solving quadratic equations with this complete bundle of guided notes and lesson plans. Designed for busy teachers, these ready-to-use resources make teaching quadratics less overwhelming while keeping lessons engaging and effective.

Each lesson emphasizes discovery learning and conceptual understanding. Students will explore quadratics through graphs, tables, factoring, square roots, completing the square, and the quadratic formula and discriminant. Alongside discovery, structured practice problems build procedural fluency so students gain confidence solving equations in multiple ways.

Whether you’re introducing quadratics for the first time or reinforcing key skills, this bundle saves you planning time and ensures your students develop both the “why” and the “how.” Perfect for Algebra 1 and Algebra 2 classrooms, this bundle includes a total of 5 lessons each with their own state-standard aligned lesson plans and colorful filled-in answer keys. A unit planner and suggested pacing guide is included. This bundle includes 41 pages of resources!

Lesson 1 - Solving Quadratics Using Graphs & Tables

In this lesson, students will expand on their knowledge of quadratic functions to start solving quadratic equations. They will explore the use of graphs and tables to solve quadratic equations by looking for x-intercepts and zeros. Students will see examples where quadratic equations have 0, 1, or 2 solutions.

Lesson 2 - Solving Quadratics Using Factored Form

In this lesson, students will extend their knowledge of factoring quadratic trinomials to the factored form of a quadratic function and how this form can be helpful in solving quadratic equations. Students will reason about the number zero and develop the zero product property. Finally, students will put all their ideas together and solve quadratic equations by setting the equation equal to zero, factoring the quadratic, and setting each factor equal to zero.

Lesson 3 - Solving Quadratics Using Square Roots

In this lesson, students will start with a warm up question about using square roots to find the side length of a square when given the area. Students will then extend this idea to the Pythagorean Theorem. Students will use inverse operations including the square root to solve equations in the form x2=d, x2+c=d, and ax2+c=d. These problems are scaffolded to help with student understanding. Students will also have the opportunity to explore multiple solving methods to a particular equation to choose which method or strategy is best.

Lesson 4 - Completing the Square

In this lesson, students will use algebra tiles to understand the geometric nature of completing the square and then use that understanding to solve quadratic equations. When finding the c-value that makes a quadratic a perfect square trinomial, students will practice multiple methods like drawing a picture, completing an area model, and following the formula. Then students will practice solving quadratic equations by completing the square and using square roots.

Lesson 5 - Quadratic Formula & Discriminant

In this lesson, students will use the quadratic formula to solve quadratic equations in these scaffolded notes. First students will make sure the equation is set equal to 0. Then they will identify the a, b, and c values. Finally students will put it all together into the quadratic formula. The first few examples give students the structure of the formula and they just have to fill in the blanks. As the notes progress, it will be up to students to practice writing the entire formula on their own! The practice problems include irrational solutions and rational solutions.

On the BONUS PAGE, students will discover what the discriminant is and how it helps us figure out the number of solutions of a quadratic equation without having to use the entire quadratic formula.

Lesson plans and answer keys (filled in notes) are included. The lesson plans include essential understandings, learning objectives, Common Core standards, an overview, and the structure of the lesson. Answer Keys are colorful and include helpful margin notes.