Divide Larger Numbers By 1-Digit Numbers: Word Problems
Subject: Math
Grade: Fourth grade
Topic: Division Word Problems
Please LOG IN to download the presentation. Access is available to registered users only.
View More Content
Welcome to Division Word Problems!
– Learn to divide larger numbers
– Solving division word problems
– Understand steps to divide within stories
– Division’s role in daily life
– Use division for sharing, budgeting, etc.
– Practice with real-world examples
– E.g., dividing pizza slices among friends
|
Today’s lesson will introduce students to the concept of dividing larger numbers through the context of word problems. Emphasize the importance of understanding the problem, identifying the numbers involved, and applying division to find the solution. Discuss how division is a critical skill for many everyday situations, such as sharing equally or managing resources. Provide examples that are relatable to the students, like dividing items or money, to illustrate the practical use of division. Encourage students to think of their own examples and share how they would solve them. The goal is to build confidence in their division skills and to understand the relevance of math in their daily lives.
Understanding Division
– Division: Sharing equally
– If you have 12 apples and 4 friends, how many does each get?
– Basic math operation
– Opposite of multiplication
– If 3 x 4 = 12, then 12 ÷ 4 = 3
– Division in daily life
– How to divide a pizza or a bag of candies fairly?
|
This slide introduces the concept of division to fourth-grade students by relating it to the idea of sharing equally among a group. It’s important to emphasize that division is a fundamental operation in math, just like addition, subtraction, and multiplication. By presenting division as the opposite of multiplication, students can use their understanding of multiplication facts to grasp division concepts. Use everyday examples, such as dividing a pizza into equal slices or sharing candies among friends, to make the concept more relatable and easier to understand. Encourage students to think of other examples where they have to share things equally, and discuss how division is used in those situations.
Key Vocabulary in Division
– Dividend: Number to divide up
– If you have 15 apples and want to share with 3 friends, 15 is the dividend.
– Divisor: Number you divide by
– Using the same example, 3 (friends) is the divisor.
– Quotient: Result of division
– After dividing 15 apples by 3 friends, 5 apples each is the quotient.
– Remainder: Left over after division
– If 16 apples were shared among 3 friends, 1 apple left would be the remainder.
|
This slide introduces the basic vocabulary needed to understand and solve division word problems. The dividend is the total amount you’re starting with that you want to split up. The divisor is the number of groups you are dividing the total into. The quotient is the number of items each group gets. Sometimes, the numbers don’t divide evenly, and you’re left with a remainder. Use real-life examples like sharing apples among friends to illustrate these concepts. Encourage students to think of their own examples and to practice identifying these terms in different division scenarios.
Simple Division: No Remainders
– Divide 20 by 4
– 20 ÷ 4 equals 5
– No remainder in this division
– When a number divides evenly, there’s no remainder
– Practice with similar problems
– Try 24 ÷ 3 or 15 ÷ 5 for more practice
|
This slide introduces students to the concept of simple division where the numbers divide evenly without any remainder. Start by demonstrating the division of 20 by 4, which equals 5. Emphasize that in this case, there is no remainder. Explain that a remainder is what is left over if the numbers don’t divide evenly. Encourage students to practice with similar problems to gain confidence in identifying when there will be no remainder. Provide additional examples and guide them through the process, ensuring they understand the concept of even division. This foundational understanding will be crucial as they progress to more complex division problems.
Dividing Larger Numbers by 1-Digit Numbers
– Understanding long division
– Long division is a method to divide larger numbers
– Step-by-step problem breakdown
– We divide, multiply, subtract, then bring down the next digit
– Example: Divide 144 by 3
– 144 ÷ 3: How many times does 3 fit into 144?
– Practice with similar problems
– Try dividing numbers like 156 ÷ 4 or 198 ÷ 6
|
This slide introduces students to the concept of long division when dealing with larger numbers. Begin by explaining the long division process, ensuring to highlight the steps of division, multiplication, subtraction, and bringing down the next digit. Use the example of 144 ÷ 3 to demonstrate the process in a clear and interactive way. Encourage students to work through the example with you. Afterward, provide additional problems such as 156 ÷ 4 or 198 ÷ 6 for students to practice on their own or in small groups, reinforcing the concept and building their confidence in solving similar division word problems.
Dividing Apples Among Baskets
– 144 apples and 3 baskets
– Imagine splitting 144 apples evenly
– Divide 144 by 3
– 144 ÷ 3 shows how to share apples
– Each basket gets 48 apples
– Result: 48 apples per basket
|
This slide presents a practical word problem to help students understand division with larger numbers. Start by setting the scene with 144 apples that need to be divided equally into 3 baskets. Explain that division is the math operation used to distribute things evenly. Walk through the calculation step by step, showing how 144 divided by 3 equals 48. Emphasize that each basket ends up with an equal number of apples, demonstrating the concept of fair sharing. Encourage students to visualize the problem and relate it to real-life situations where they might have to divide items equally.
Let’s Practice Division Together!
– Solve a problem as a class
– Look for division keywords
– Words like ‘each’, ‘per’, ‘share equally’ hint at division
– Follow steps methodically
– Break down the problem: divide, multiply, subtract, bring down
– Always check your answers
– Review your solution to avoid mistakes
|
This slide is designed for an interactive class activity where the teacher will write a division word problem on the board, and the class will work together to solve it. Emphasize the importance of looking for keywords in the problem that suggest division is required. Guide the students through the steps of division: dividing the larger number, multiplying to find the product, subtracting, and bringing down the next digit if necessary. Encourage students to check their work by multiplying the divisor by the quotient to see if it equals the dividend. Prepare several problems of varying difficulty to ensure all students can participate and understand the concept.
Independent Practice: Division Challenges
– Try solving problems independently
– Use scratch paper for calculations
– Organize your work to avoid mistakes
– Take your time, no need to rush
– Review your answers carefully
– Double-check by multiplying the divisor by the quotient
|
This slide is aimed at reinforcing the students’ understanding of dividing larger numbers by 1-digit numbers through independent practice. Encourage students to approach the problems methodically, using scratch paper to keep their work neat and organized. Remind them that accuracy is more important than speed, and they should not feel pressured to rush through the problems. After solving, students should check their work by performing the inverse operation: multiplying the divisor by the quotient to see if it equals the dividend. Provide several word problems for the students to solve, each with a different 1-digit divisor and a larger number as the dividend. Offer support as needed, but allow students to work through the problems on their own to build confidence.
Class Activity: Division Relay
– Teams solve division problems
– Each member solves a step
– Work together to find answers
– Fastest correct team wins!
|
This activity is designed to encourage teamwork and reinforce the concept of dividing larger numbers by 1-digit numbers through word problems. Divide the class into small teams, ensuring each team has an equal number of members. Present a multi-step division word problem to the class. Each team member will be responsible for solving one step of the problem. Encourage students to communicate effectively and check each other’s work for accuracy. The first team to arrive at the correct answer and explain their reasoning wins. Possible variations of the activity could include different word problems for each team, timed rounds, or a ‘relay race’ where students physically move to a designated area to complete their step of the problem.
Conclusion & Homework: Division Mastery
– Excellent work in today’s class!
– Homework: Division worksheet
– Practice dividing larger numbers by 1-digit numbers
– Solve word problems on the sheet
– Use strategies learned today to find answers
– We’ll discuss solutions next time
|
Congratulate the students on their hard work during the class. Assign the division word problems worksheet as homework to reinforce today’s lesson on dividing larger numbers by 1-digit numbers. Encourage them to apply the strategies they’ve learned to solve the problems. Make sure they understand that the purpose of the homework is to practice and solidify their understanding. In the next class, plan to go over the worksheet answers together, allowing students to ask questions and clarify any misunderstandings. This will help ensure that all students are on the same page and ready to move forward.