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	'Distributive property
What length (min)	30
What age group	Year or Grade 6
Include homework
Include images descriptions
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Lesson Plan: Understanding the Distributive Property

Subject: Mathematics

Grade Level: 6

Duration: 30 Minutes

Topic: Distributive Property

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Objective

By the end of the lesson, students will be able to understand and apply the distributive property to simplify expressions and solve equations.

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Materials Needed

• Whiteboard and markers
• Printed worksheets
• Example problems on slides or a projector
• Counters or manipulatives (optional)

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Introduction (5 Minutes)

1. Begin the lesson by asking students if they have encountered the distributive property before.
2. Introduce the concept of the distributive property as a way to multiply a single term across a sum or difference.
3. Write the distributive property formula on the board:
   [ a(b + c) = ab + ac ]
   Explain each part with examples.

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Direct Instruction (10 Minutes)

1. Example 1: Simplify (3(4 + 5)) using the distributive property.

   • Step 1: Multiply 3 by each term inside the parentheses:
     [
     3 \times 4 + 3 \times 5
     ]
   • Step 2: Calculate:
     [
     12 + 15 = 27
     ]

2. Example 2: Show how to use the distributive property with subtraction:

   • Simplify (5(6 - 2))
   • Step 1: Multiply:
     [
     5 \times 6 - 5 \times 2
     ]
   • Step 2: Calculate:
     [
     30 - 10 = 20
     ]

3. Engage students by asking them to describe what they notice about the process and the results.

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Guided Practice (10 Minutes)

1. Provide students with a few problems to solve as a class:

   • (2(3 + 7))
   • (4(5 - 1))
   • (6(2 + 8))

   Encourage students to explain their thought process as they solve each problem.

2. Walk around the classroom to offer help and ensure understanding.

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Independent Practice (5 Minutes)

1. Hand out a worksheet with the following problems for students to complete on their own:

   • (7(4 + 3))
   • (3(8 - 5))
   • (9(5 + 2))

2. Allow students to work independently while providing assistance if needed.

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Closure (5 Minutes)

1. Recap the distributive property and its importance in simplifying expressions.
2. Ask students to share what they found challenging or interesting about the lesson.
3. Conclude with an encouragement to practice using the distributive property in their homework.

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Homework

Problems

Complete the following problems using the distributive property:

1. (5(2 + 12))
2. (6(3 - 7))
3. (4(10 + 3))
4. (8(2 - 1))

Answers

1. (5(2 + 12) = 5 \times 2 + 5 \times 12 = 10 + 60 = 70)
2. (6(3 - 7) = 6 \times 3 - 6 \times 7 = 18 - 42 = -24)
3. (4(10 + 3) = 4 \times 10 + 4 \times 3 = 40 + 12 = 52)
4. (8(2 - 1) = 8 \times 2 - 8 \times 1 = 16 - 8 = 8)

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End of Lesson Plan