aidemia--modules-lessonplan_request	Titles of parts of the lesson must be formatted as headings
What to create	Lesson plan
Which subject	Mathematics
What topic	Multi-Step Equations
What length (min)	30
What age group	Year or Grade 9
Include homework
Include images descriptions
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Lesson Plan: Multi-Step Equations

Grade Level

9th Grade

Subject

Mathematics

Duration

30 minutes

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Learning Objectives

By the end of this lesson, students will be able to:

1. Solve multi-step equations using various algebraic techniques.
2. Apply the distributive property and combine like terms effectively.
3. Check their solutions for accuracy.

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Materials Needed

• Whiteboard and markers
• Graphing calculators (optional)
• Worksheets with practice problems
• Homework handouts

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Introduction (5 minutes)

Start the lesson by engaging the students with a brief discussion about equations. Ask them:

• What is an equation?
• Why do we need to solve equations? Introduce the concept of multi-step equations, explaining that they require multiple operations to isolate the variable.

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Direct Instruction (15 minutes)

1. Review of Concepts: Quickly review one-step equations to ensure foundational understanding. Write a simple one-step equation on the board (e.g., ( x + 5 = 10 )). Solve it as a class.

2. Introducing Multi-Step Equations:

   • Present a multi-step equation: ( 3(x + 4) - 2 = 16 ).
   • Demonstrate how to solve it step-by-step: a. Distribute: ( 3x + 12 - 2 = 16 ) b. Combine like terms: ( 3x + 10 = 16 ) c. Isolate the variable: ( 3x = 6 ) d. Solve for ( x ): ( x = 2 )

3. Practice Together: Solve another multi-step equation as a class. Example:

   • Solve ( 2(x - 3) + 4 = 10 ).
   • Guide students through each step.

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Guided Practice (5 minutes)

Hand out a worksheet with a few multi-step equations. Work through the first problem together:

• Example: Solve ( 5x + 3 = 2x + 18 )
• Discuss and encourage students to ask questions if they don't understand a step.

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Independent Practice (3 minutes)

Give students a few minutes to work on their own:

1. ( 4(x + 1) - 8 = 12 )
2. ( 7 - 3(2x - 1) = 4x + 5 )

Walk around the room to assist students as needed.

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Closure (2 minutes)

Summarize the key steps for solving multi-step equations:

1. Distribute if necessary.
2. Combine like terms.
3. Isolate the variable.
4. Solve for the variable.

Remind students to check their work by substituting the solution back into the original equation.

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Homework Assignment

For homework, complete the following problems:

1. ( 3(x + 2) - 5 = 4 )
2. ( 2(x - 4) + 3 = 9 )
3. ( 6x + 4 = 2(3x + 1) )

Homework Answers

1. ( x = 1 )
2. ( x = 5 )
3. ( x = -2 )

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Assessment

Formatively assess student understanding through observation during independent practice. Review homework to identify comprehension levels and areas needing further clarification in future lessons.