Introduction: Begin the lesson by asking students if they have ever heard of quadratic equations. Explain that quadratic equations are used to solve problems that involve finding the value of an unknown variable. Tell students that they will be learning how to solve quadratic equations in this lesson.

Lesson Outline: 1. Define quadratic equations and explain how they are used in real-life situations. 2. Introduce the standard form of a quadratic equation: ax² + bx + c = 0. 3. Teach students how to solve quadratic equations using factoring, completing the square, and the quadratic formula. 4. Provide examples of each method and guide students through the steps. 5. Have students practice solving quadratic equations on their own or in pairs. 6. Review the lesson and answer any questions.

Questioning: 1. What is a quadratic equation? 2. How are quadratic equations used in real-life situations? 3. What is the standard form of a quadratic equation? 4. What are the three methods for solving quadratic equations? 5. Can you solve this quadratic equation using factoring/completing the square/quadratic formula?

Assessment: 1. Have students complete a worksheet with various quadratic equations to solve. 2. Observe students as they work on the worksheet and provide feedback. 3. Have students present their solutions to the class and explain their thought process.

Differentiation: 1. Provide additional resources for students who need extra help, such as video tutorials or step-by-step guides. 2. Offer more challenging problems for students who have mastered the material. 3. Allow students to work in pairs or small groups to solve quadratic equations.

Plenary: 1. Review the key concepts of the lesson. 2. Ask students to share their favorite method for solving quadratic equations and why. 3. Provide additional resources for students to continue practicing solving quadratic equations.

Resources: 1. Video tutorial on solving quadratic equations: https://www.youtube.com/watch?v=VrS2kLk6JgI 2. Worksheet on solving quadratic equations: https://www.mathworksheets4kids.com/quadratic-equations.php 3. Step-by-step guide on solving quadratic equations: https://www.mathsisfun.com/algebra/quadratic-equation-solving.html