Mathematics Lesson Plan: The Distributive Property
Grade Level
Grade 3
Duration
30 minutes
Lesson Objectives
By the end of this lesson, students will be able to:
- Understand the concept of the distributive property.
- Apply the distributive property to simplify addition and multiplication problems.
- Solve problems using the distributive property effectively.
Materials Needed
- Whiteboard and markers
- Worksheets with exercises
- Simple manipulatives (like counting blocks)
- Projector (if available)
Introduction (5 minutes)
- Begin the lesson by asking students if they have ever shared or distributed items. Discuss briefly the idea of distributing items as a way to introduce the concept.
- Introduce the term "distributive property" and explain that it helps us to simplify problems, especially in multiplication.
Direct Instruction (10 minutes)
-
Explain the Distributive Property: Write on the board:
[
a(b + c) = ab + ac
]
- Explain that this means you can multiply a number by a sum by distributing the number to each addend in the sum.
-
Example: Show a basic example:
[
3(4 + 5)
]
- Ask students to solve it using the distributive property:
[
= 3 \times 4 + 3 \times 5
]
- Calculate:
[
12 + 15 = 27
]
- Emphasize that both methods give the same answer.
-
Visual Representation: Use blocks or drawings to visually show distributing items among different groups.
Guided Practice (10 minutes)
-
Provide students with a few example problems to solve together:
- ( 2(3 + 7) )
- ( 5(2 + 1) )
-
Allow students to work in pairs to solve these problems, encouraging them to use the distributive property. Walk around the classroom to assist and guide them.
Independent Practice (5 minutes)
- Hand out worksheets with additional problems that require the distributive property. Problems include:
- ( 4(6 + 2) )
- ( 7(3 + 5) )
- ( 5(2 + 3) )
- ( 1(8 + 4) )
Closure (5 minutes)
- Invite a few students to share their answers and explain how they used the distributive property.
- Reinforce the importance of the distributive property in simplifying mathematical expressions.
Homework
Complete the following problems using the distributive property:
- ( 3(5 + 4) )
- ( 6(2 + 6) )
- ( 4(3 + 1) )
- ( 2(10 + 5) )
Homework Answers
- ( 3(5 + 4) = 3 \times 5 + 3 \times 4 = 15 + 12 = 27 )
- ( 6(2 + 6) = 6 \times 2 + 6 \times 6 = 12 + 36 = 48 )
- ( 4(3 + 1) = 4 \times 3 + 4 \times 1 = 12 + 4 = 16 )
- ( 2(10 + 5) = 2 \times 10 + 2 \times 5 = 20 + 10 = 30 )
Assessment
- Assess students' understanding through their participation during guided practice and their homework completion.
This lesson plan provides an engaging approach to introducing the distributive property to third-grade students, clearly aligning with educational standards and helping them grasp this fundamental concept in mathematics.