Title: Finding Whole-Number Quotients and Remainders with Up to Four-Digit Dividends and One-Digit Divisors
Grade Level: 4th or 5th grade
Objective: - Students will be able to divide whole numbers with up to four digits by one-digit divisors, finding both the quotient and remainder. - Students will understand the concept of division and how it relates to multiplication and subtraction.
Materials: - Whiteboard or blackboard - Markers or chalk - Dividend and divisor flashcards (with numbers up to four digits and one digit, respectively) - Worksheets with division problems - Pencils or pens
Procedure:
- Introduction (5 minutes):
- Begin the lesson by asking students if they know what division is and how it is related to multiplication and subtraction.
- Write the terms “dividend,” “divisor,” “quotient,” and “remainder” on the board, and briefly explain their meanings.
- Tell students that today, they will learn how to find whole-number quotients and remainders when dividing numbers with up to four digits by one-digit divisors.
- Whole-Class Instruction (10 minutes):
- Demonstrate the process of dividing a four-digit number by a one-digit number on the board, step by step.
- Emphasize the importance of starting with the largest place value and working towards the smallest.
- Show how to subtract the product of the divisor and quotient from the dividend to find the remainder.
- Provide examples and encourage students to ask questions if they need clarification.
- Guided Practice (15 minutes):
- Distribute dividend and divisor flashcards to pairs of students.
- Instruct students to take turns being the “divider” and the “dividend.”
- The divider should divide the dividend, finding the quotient and remainder, while the other student checks their work.
- Circulate the classroom, providing assistance and guidance as needed.
- Independent Practice (15 minutes):
- Hand out worksheets with division problems involving four-digit dividends and one-digit divisors.
- Instruct students to solve the problems independently, showing their work and writing both the quotient and remainder.
- Encourage students to use the strategies discussed during the whole-class instruction.
- Monitor the class, offering support and answering questions.
- Review and Closure (5 minutes):
- Collect the worksheets and review a few problems as a class, allowing students to share their answers and methods.
- Ask students to reflect on what they have learned about division and how it relates to multiplication and subtraction.
- Summarize the key points of the lesson and address any remaining questions or concerns.
Extensions: - For advanced students, provide additional division problems with larger dividends and divisors. - Introduce word problems that require students to apply their division skills in real-life scenarios. - Encourage students to explore long division with decimals or fractions, if appropriate for their grade level.
Assessment: - Monitor students’ progress during the guided and independent practice, providing feedback and assistance as needed. - Collect and review the completed worksheets to assess students’ understanding of finding whole-number quotients and remainders. - Use additional formative assessments, such as oral questioning or exit tickets, to gauge individual comprehension.
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