Lesson Plan: Understanding Multiplication and Division of Whole Numbers
Subject: Mathematics
Topic: Unit 1: enVision Topic 1 - Understand Multiplication and Division of Whole Numbers
Duration: 30 Minutes
Grade Level: [Specify Grade Level]
Objectives
By the end of this lesson, students will be able to:
- Understand the concepts of multiplication and division.
- Apply multiplication and division in solving real-world problems.
- Use Hands-On Equations to model and solve multiplication and division equations.
Materials Needed
- Whiteboard and markers
- Hands-On Equations kits (or equivalent manipulatives)
- Worksheets for practice problems
- Projector and screen for visual presentations
- Timer
- Small whiteboards for individual practice
Introduction (5 Minutes)
- Engagement: Begin with a warm-up question on the board, such as: "If 4 bags hold 3 apples each, how many apples do we have in total?"
- Discussion: Generate responses from students, prompting them to consider how they calculated the total.
- Introduce the Topic: Explain that this lesson will focus on understanding multiplication and division as tools for solving problems.
Direct Instruction (10 Minutes)
-
Demonstrate Multiplication:
- Explain multiplication as repeated addition (e.g., 3 + 3 + 3 = 9, which is the same as 3 × 3).
- Use a visual aid to demonstrate 3 groups of 4 (3 × 4).
-
Demonstrate Division:
- Explain division as the process of sharing a quantity equally (e.g., 12 ÷ 4 = 3, which means splitting 12 into 4 equal groups).
- Use the same visual aid to show 12 items divided into 4 groups.
-
Concrete Examples:
- Provide examples on the board and solve them together with the class.
- Encourage students to ask questions and clarify any misunderstandings.
Guided Practice (10 Minutes)
-
Hands-On Equations Activity:
- Divide students into small groups and provide them with Hands-On Equations kits.
- Introduce the basic concepts of the manipulative systems. Students will model equations using the kits to represent multiplication and division.
- Circulate among groups, facilitating understanding and providing help when needed.
-
Group Problem-Solving:
- Present a problem on the board, such as “A farmer has 36 apples. He wants to pack them into boxes of 6. How many boxes will he need?”
- Have each group model the situation using their manipulatives and come to a conclusion together.
Independent Practice (5 Minutes)
- Distribute worksheets that include a variety of multiplication and division problems.
- Have students work individually to solve the problems.
- Encourage them to use the Hands-On Equations concept as a way to check their work.
Closure (5 Minutes)
- Review: Reiterate the key concepts covered in the lesson: the meaning of multiplication and division and the importance of understanding these operations in real-life situations.
- Questions: Ask if there are any lingering questions about the day’s lesson or the Hands-On Equations activity.
- Exit Ticket: Each student should write one thing they learned today and one question they still have about multiplication and division to submit as they leave.
Assessment
- Monitor student participation during guided practice and discussions.
- Review the completed worksheets to assess individual understanding.
- Use the exit tickets as an informal assessment tool to gauge comprehension.
Additional Notes
- Be prepared to provide differentiated support for students who might struggle with the concepts.
- Allow for some flexibility within the group activities to accommodate varying abilities and learning paces.
End of Lesson Plan