## Solving Quadratic Equations by Factoring Lesson Plan

This Solving Quadratic Equations by Factoring lesson plan provides students with essential skills that can be applied in various fields of study and in real-life situations. Through this lesson, students will learn how to identify quadratic equations that can be factored, the different methods for factoring quadratic equations, and how to solve quadratic equations by factoring. The lesson also includes real-life application scenarios to help students see how they can apply this skill to solve practical problems. By the end of the lesson, students will have a thorough understanding of how to solve quadratic equations by factoring and be able to apply this skill to solve problems in their own lives.

**Learning Target:**

Students will be able to solve quadratic equations by factoring and apply this skill to solve real-life problems.

**Success Criteria:**

- Students will be able to identify quadratic equations that can be factored
- Students will be able to factor quadratic equations using various methods
- Students will be able to solve quadratic equations by factoring
- Students will be able to check their solutions by plugging them back into the original equation
- Students will be able to apply quadratic equations to real-life situations

**Essential Questions:**

- What is a quadratic equation?
- How do we know when a quadratic equation can be factored?
- What are the different methods for factoring quadratic equations?
- How do we solve quadratic equations by factoring?
- How can we check our solutions to ensure they are correct?
- How can we apply quadratic equations to real-life situations?

**Big Idea:**

Quadratic equations can be solved by factoring and this skill is useful in real-life situations such as calculating the height of an object or the distance traveled.

**Materials:**

- Whiteboard and markers
- Worksheet with quadratic equations to solve or you can use this online test: Solving Quadratic Equations by Factoring Test
- Answer key to worksheet
- Real-life problem scenarios

**Procedure:**

**Introduction**:

- Begin by asking students if they remember what a quadratic equation is and if they can give an example. Write their responses on the whiteboard.
- Introduce the learning target and success criteria for the lesson.
- Discuss the big idea and how this skill can be useful in real-life situations.

**Direct Instruction**:

- Review the different methods for factoring quadratic equations such as grouping, difference of squares, and trinomial factoring.
- Demonstrate how to solve quadratic equations by factoring using examples on the whiteboard.
- Discuss how to check solutions by plugging them back into the original equation.

**Guided Practice**:

- Distribute the worksheet with quadratic equations to solve.
- Walk through the first problem with the class and have students complete the next few problems on their own.
- Circulate around the room to provide support and feedback to students as they work.

**Independent Practice:**

- Have students work on the remaining problems on the worksheet independently.
- Encourage students to check their solutions by plugging them back into the original equation.

**Real-Life Application:**

- Provide students with real-life problem scenarios that involve quadratic equations.
- Have students work in pairs or small groups to solve the problems and present their solutions to the class.
- Discuss the importance of being able to apply this skill to real-life situations.

**Closing:**

- Recap the essential questions and learning target for the lesson.
- Remind students of the importance of being able to solve quadratic equations by factoring.
- Collect the worksheets to assess student understanding.