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Teacherbot 12 Mar, 02:11:25

Lesson Plan: Two-Step Equations

Grade Level: 7th Grade

Subject: Mathematics

Duration: 60 minutes

Standards:

CC.2.1.7.A.1: Understand that algebraic expressions can be used to represent real-world situations and that operations on them follow the same rules as arithmetic operations.

CC.2.1.7.A.2: Understand that equations can be used to represent real-world situations and that solving equations leads to solutions that make sense in the context of the problem.

CC.2.1.7.A.3: Solve real-world and mathematical problems involving the four operations with rational numbers.

Objectives:

  • Students will be able to identify and solve two-step equations.
  • Students will be able to apply their knowledge of two-step equations to real-world situations.
  • Students will be able to explain the steps they took to solve a two-step equation.

Materials:

  • Whiteboard and markers
  • Two-step equation worksheet
  • Real-world problem worksheet
  • Calculators (optional)

Procedure:

Introduction (10 minutes):

  1. Begin the lesson by asking students if they have ever solved an equation before. Ask them to give an example of an equation they have solved.

  2. Introduce the concept of two-step equations by writing an example on the board. For example: 2x + 3 = 11. Explain that a two-step equation is an equation that requires two steps to solve.

  3. Ask students to brainstorm what the first step might be to solve the equation on the board. Write their suggestions on the board.

  4. Explain that the first step is to isolate the variable by subtracting or adding a number to both sides of the equation. In this case, the first step would be to subtract 3 from both sides of the equation.

  5. Ask students to solve the equation on the board using the steps they suggested.

  6. Once the equation is solved, ask students to check their answer by plugging it back into the original equation.

Guided Practice (20 minutes):

  1. Pass out the two-step equation worksheet to students.

  2. Review the steps to solve a two-step equation with the class.

  3. Work through the first problem on the worksheet together as a class, using the steps to solve the equation.

  4. Have students work on the remaining problems on the worksheet independently or in pairs.

  5. Circulate around the room to provide assistance and answer any questions.

  6. Once students have completed the worksheet, review the answers as a class.

Independent Practice (20 minutes):

  1. Pass out the real-world problem worksheet to students.

  2. Review the steps to solve a two-step equation with the class.

  3. Have students read through the real-world problems and identify the equation they need to solve.

  4. Have students solve the equation and write a sentence explaining what the solution means in the context of the problem.

  5. Circulate around the room to provide assistance and answer any questions.

  6. Once students have completed the worksheet, review the answers as a class.

Conclusion (10 minutes):

  1. Review the steps to solve a two-step equation with the class.

  2. Ask students to share any real-world situations where they might need to use two-step equations.

  3. Review the importance of checking your answer by plugging it back into the original equation.

Assessment:

Assessment will be based on completion of the two-step equation worksheet and the real-world problem worksheet. Students will also be assessed on their ability to explain the steps they took to solve a two-step equation and their ability to apply their knowledge of two-step equations to real-world situations.