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Use Case: A maths teacher asked our AI generator to create a lesson about introducing multi-digit division to 4th graders.
Learning Goals and Success Criteria
Learning Goal
Learning Goal: Students will be able to understand and apply multi-digit division strategies to solve problems independently.
Success Criteria:
1. Students will be able to accurately solve multi-digit division problems with remainders using the standard algorithm.
2. Students will be able to explain their thinking and demonstrate their understanding of the multi-digit division strategies taught through written and oral explanations.
Lesson Plan
Lesson Plan: Multi-Digit Division Strategies
Grade: 4th
Subject: Mathematics
Duration: 60 minutes
Objective
By the end of this lesson, students will be able to understand and apply multi-digit division strategies to solve problems independently.
Materials
- Whiteboard and markers
- Slide presentation
- Math manipulatives (optional)
- Practice worksheets
- Homework sheet
Procedural Fluency Strategies
- Direct Instruction
- Guided Practice
- Independent Practice
- Assessment
Lesson Structure
Introduction (10 mins)
- Begin the lesson with a quick review of the previous lesson on division.
- Introduce the topic of multi-digit division strategies and explain their importance in solving complex division problems.
- Display key vocabulary terms and definitions on the slide presentation.
- Tell students that they will be learning how to divide 3 and 4-digit numbers.
Direct Instruction (20 mins)
- Explain the standard algorithm of dividing multi-digit numbers in steps, using the slide presentation.
- Model the division process for a few examples and ask the students to follow along and take notes.
- Provide examples to illustrate how to solve problems containing remainders.
Guided Practice (15 mins)
- Give students problems to work in pairs or groups of three.
- Monitor progress as students work and provide feedback as necessary.
- Use probing questions to allow students to explain their thought processes.
Independent Practice (10 mins)
- Hand out practice worksheets for students to work independently.
- Move around the room to monitor progress and provide individual support to struggling students.
- Check the completed worksheets to ensure that students have understood the division strategies taught.
Assessment (5 mins)
- Administer a quick exit ticket to assess learning.
- Review the answers and give feedback on common errors.
Homework:
- Encourage students to practise multi-digit division by assigning them 5-7 problems to complete on the homework sheet.
Extension Activities
- Ask students to create their own multi-digit division problems to challenge their classmates.
- Incorporate real-world math problems that require the use of multi-digit division strategies.
- Use manipulatives and games to make the lesson interactive and engaging.
Differentiation Activities
For struggling students:
- Allow them to use manipulatives to help them understand complex problems.
- Provide additional practice worksheets or problems.
For advanced students:
- Assign them more challenging problems that require multiple steps to solve.
- Give them problems that contain decimals or fractions for an added challenge.
Multiple Choice Quiz
Question 1: What are multi-digit division strategies used for?
a) Addition problems
b) Multiplication problems
c) Solving complex division problems
d) None of the above
Question 2: What is the importance of using multi-digit division strategies?
a) Makes problems less complex
b) Makes problems more complex
c) Makes problems easier to add
d) None of the above
Question 3: Which of the following is not a multi-digit division strategy?
a) Partial Quotients
b) Long Division
c) Subtraction
d) None of the above
Question 4: What is the definition of multi-digit numbers in steps?
a) Dividing numbers with a step by step process
b) Dividing numbers with no process
c) Adding numbers with a step by step process
d) None of the above
Question 5: What are remainders in division problems?
a) The answer to a division problem
b) Numbers left over after dividing equally
c) The sum of a division problem
d) None of the above
Question 6: Which of the following is not a key vocabulary term related to multi-digit division?
a) Remainder
b) Dividend
c) Quotient
d) Lesson
Question 7: What is the definition of the term "dividend"?
a) The answer to a division problem
b) The number being divided in a division problem
c) The number used to divide in a division problem
d) None of the above
Question 8: If a division problem leaves a remainder, what should be done with the remainder?
a) Ignore it
b) Add it to the quotient
c) Subtract it from the quotient
d) None of the above
Question 9: Which of the following is a multi-digit division strategy?
a) Addition
b) Subtraction
c) Long Division
d) Multiplication
Question 10: What is the answer to a division problem called?
a) Remainder
b) Dividend
c) Quotient
d) None of the above
Answers: 1) c 2) a 3) c 4) a 5) b 6) d 7) b 8) b 9) c 10) c
Slide Deck Content and Structure
Slide 1:
Title - Introducing Multi-Digit Division Strategies
Content - Welcome to today's lesson on multi-digit division strategies. In this lesson, you will learn how to divide 3 and 4-digit numbers.
Slide 2:
Title - Key Vocabulary Terms
Content - Let's first go through some important vocabulary terms and their definitions that you will come across in this lesson.
- Division - splitting a number into equal parts
- Quotient - the answer to a division problem
- Divisor - the number you divide by
- Dividend - the number being divided
Slide 3:
Title - Why are multi-digit division strategies important?
Content - You might be wondering why we need to learn division strategies for larger numbers. Well, as we grow older, the numbers we need to divide become bigger and more complex. These division strategies will help you solve these complex problems with ease.
Slide 4:
Title - The Long Division Method
Content - The Long Division Method is one of the most commonly used division strategies when it comes to multi-digit numbers. Let's see how it works.
- Write the dividend on top, and the divisor on the outside.
- Divide the first digit of your dividend by your divisor.
- Write the quotient above the digit you just divided.
- Multiply the quotient by the divisor, and write the answer under the digit you just divided.
- Subtract the answer you just wrote from the digit you just divided, and write the remainder next to the next digit.
- Bring down the next digit of the dividend and repeat the process.
Slide 5:
Title - The Chunking Method
Content - The Chunking Method is another useful division strategy that involves dividing the dividend into smaller chunks. Let's see how it works.
- Start with the largest chunk of the dividend that your divisor can divide.
- Write the quotient above the chunk.
- Multiply the quotient by the divisor and subtract it from the chunk.
- Bring down the next digit and repeat the process until there are no more digits left.
Slide 6:
Title - Conclusion
Content - You've learned about two important division strategies: the Long Division Method and the Chunking Method. These strategies are essential in solving complex division problems that involve larger numbers. As you practice and master these strategies, you'll be able to solve any division problem that comes your way.
Slide 7:
Title - Quote
Content - "Mathematics is not about numbers, equations, computations, or algorithms: it is about understanding." - William Paul Thurston. Remember this quote as you continue to learn and understand the concepts and strategies of mathematics.
Differentiation Sample
Extension quiz for the
cognitive age of 12
Question 1: When should you use multi-digit division strategies?
a) When you have addition problems b) When you have multiplication problems c) When you have complex division problems with two or more digits in the dividend and/or divisor
d) None of the above
Question 2: What is the benefit of using multi-digit division strategies?
a) It makes the problems more challenging
b) It makes the problems less complex and easier to solve
c) It makes the problems easier to add
d) None of the above
Question 3: Which of the following is not a multi-digit division strategy?
a) Partial Quotients
b) Long Division
c) Subtraction
d) Both b and c
Question 4: What is the process of dividing multi-digit numbers step-by-step called?
a) Multi-step division
b) Step-by-step division
c) Partial division
d) None of the above
Question 5: What are remainders in division problems?
a) The answer to a division problem
b) The leftover amount after dividing the dividend equally by the divisor
c) The sum of the dividend and divisor
d) None of the above
Question 6: Which of the following terms is not used in multi-digit division problems?
a) Remainder
b) Dividend
c) Quotient
d) Sum
Question 7: What is the definition of the term "dividend" in a division problem?
a) The answer to a division problem
b) The number being divided in a division problem
c) The number used to divide in a division problem
d) None of the above
Question 8: If a division problem leaves a remainder, what should you do with the remainder?
a) Ignore it
b) Add it to the quotient
c) Subtract it from the quotient
d) Divide it by the divisor
Question 9: Which of the following is a multi-digit division strategy?
a) Addition
b) Subtraction
c) Long Division
d) Multiplication
Question 10: What is the answer to a division problem called?
a) Remainder
b) Dividend
c) Quotient
d) Fraction
Answers: 1) c 2) b 3) d 4) b 5) b 6) d 7) b 8) b 9) c 10) c
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