Warm-Up Review: Division Detective Prep!

Directions: Answer the following questions to get your brain ready for long division!

1. What do we call the number being divided? (The total amount)
   
   
   
   

2. What do we call the number that divides the dividend? (How many groups or how many in each group)
   
   
   
   

3. What do we call the answer to a division problem?
   
   
   
   

4. Solve: 42 ÷ 6 =
   
   
   
   

5. Solve: 56 ÷ 8 =
   
   
   
   

Mastering the Maze of Long Division Script

Warm-Up Review (10 minutes)

(Slide 2: Warm-Up Review: Quick Check!)

"Good morning, everyone! Today, we're diving into a super important math skill: long division. Think of it as a fun maze we're going to navigate together. To get started, let's warm up our brains with some quick division practice and vocabulary review. Take about five minutes to answer the questions on the screen in your notebooks. Ready, set, go!"

(Allow students 5 minutes to work individually. Circulate and observe.)

"Alright, pencils down! Let's go over these together. Who can tell me..."

• "What do we call the number being divided?" (Pause for answer: Dividend)
• "And the number that divides the dividend?" (Pause for answer: Divisor)
• "What about the answer to a division problem?" (Pause for answer: Quotient)
• "For 36 ÷ 4, what did you get?" (Pause for answer: 9)
• "And for 63 ÷ 7?" (Pause for answer: 9)

"Excellent! It sounds like we have a good foundation. Let's build on that!"

Direct Instruction: Unraveling the Algorithm (15 minutes)

(Slide 3: The Standard Algorithm: Your Map to the Maze!)

"Long division might look intimidating at first, like a complicated maze. But I promise you, with our map – the Standard Algorithm – you'll be able to conquer any division problem! This algorithm is just a set of steps we follow, and we repeat these steps until we find our answer."

"Does anyone remember a fun way to remember the steps of long division? We often use a little family mnemonic..."

(Wait for responses, prompt if needed: "Dad, Mother, Sister, Brother, Rover!")

"That's right! Dad, Mother, Sister, Brother, Rover. Each word helps us remember a step: Divide, Multiply, Subtract, Bring Down, and then you either Repeat the process or you have a Remainder."

(Slide 4: Step 1: Divide!)

"Let's break down each step. Our first step is Divide. This is where we ask ourselves: 'How many times does the divisor go into the first part of the dividend?' We start from the left side of our dividend. We write this answer above the dividend."

"Let's look at an example: 72 divided by 3. We start with the 7 in 72. How many times does 3 go into 7 without going over? Show me on your fingers, or whisper to a partner."

(Pause for responses. Guide them to 2.)

"Exactly, 2 times. We write the '2' right above the '7' in 72."

(Slide 5: Step 2: Multiply!)

"Our next step is Multiply. Now we take the number we just wrote, our quotient digit (which was 2), and multiply it by our divisor (which is 3). Where do you think we write that product?"

(Pause for responses: "Under the 7.")

"Yes, we write the product directly under the part of the dividend we just divided into. So, 2 multiplied by 3 equals 6. We write '6' under the '7'."

(Slide 6: Step 3: Subtract!)

"Third, we Subtract. This is crucial. We subtract the product we just found (6) from the part of the dividend above it (7). When you subtract, what is your answer?"

(Pause for responses: "1.")

"Perfect! Now, here's a little secret check: The result of your subtraction should always be less than your divisor. Is 1 less than 3? Yes! So, we're on the right track."

(Slide 7: Step 4: Bring Down!)

"Now for Bring Down. This step helps us continue the problem. We bring down the next digit from our original dividend and place it next to the result of our subtraction. So, in 72 divided by 3, what's the next digit we need to bring down?"

(Pause for responses: "2.")

"That's right, the 2! So, we bring down the 2 next to the 1 we got from subtracting. Now we have the number 12. This new number is what we'll work with for our next cycle of 'Divide, Multiply, Subtract, Bring Down'."

(Slide 8: Step 5: Repeat or Remainder!)

"This is where the 'Repeat or Remainder' part of our mnemonic comes in. Now that we have a new number, 12, we go back to the top and Repeat the process: Divide, Multiply, Subtract, Bring Down, and so on. We keep doing this until there are no more digits left to bring down."

"So, with our new number, 12, how many times does our divisor, 3, go into 12?"

(Pause for responses: "4.")

"Excellent! So, we write '4' next to the '2' above our dividend. Now we multiply 4 by 3, which is 12. We subtract 12 from 12, and we get 0. Since there are no more digits to bring down and our remainder is 0, we are finished! So, 72 divided by 3 is 24."

"What if we had a number left over at the end? What would that be called?" (Pause for answer: Remainder)

"Exactly! If there's a number left over that's smaller than the divisor, that's our Remainder. We'll see examples of that soon."

Guided Practice: Navigating Together (15 minutes)

(Slide 9: Guided Practice: Let's Do One Together!)

"Now that we've walked through the steps, let's try one more together as a class. I want you to work along with me on your whiteboards or in your notebooks. Let's try to solve 98 divided by 4."

"Remember our steps: Dad, Mother, Sister, Brother, Rover. Let's start with Divide. How many times does 4 go into 9?"

(Guide students through each step, asking questions and providing feedback. Write on the board as you go.)

• "So we put '2' above the 9. Next, Multiply. What's 2 times 4?" (8)
• "Write 8 under the 9. Then, Subtract. What's 9 minus 8?" (1)
• "Is 1 less than 4? Yes! Good. Now, Bring Down. Bring down the 8. We now have 18."
• "Now we Repeat. How many times does 4 go into 18?" (4)
• "Write 4 next to the 2 above. Now Multiply. What's 4 times 4?" (16)
• "Write 16 under 18. Then Subtract. What's 18 minus 16?" (2)
• "Is 2 less than 4? Yes! Are there any more numbers to bring down? No. So, what is our remainder?" (2)

"Great job! So, 98 divided by 4 is 24 with a remainder of 2. This means 4 goes into 98 twenty-four times, with 2 left over."

(Work through another similar problem if time allows, such as 156 ÷ 3, or move to independent practice if students seem ready.)

Independent Practice: Charting Your Own Course (15 minutes)

"You've done an excellent job following along. Now it's time to put your individual skills to the test. I'm going to hand out the Division Drill Worksheet. You'll work independently on these problems, using the standard algorithm we just reviewed."

"Remember to show all your steps clearly. Take your time, and if you get stuck, remember our 'Dad, Mother, Sister, Brother, Rover' steps. I'll be walking around to help if you have questions."

(Distribute the Division Drill Worksheet. Circulate and provide individual support.)

Application Activity: Real-World Routes (10 minutes)

"Excellent work on the drill! Now, let's see how long division helps us in the real world. I'm giving you the Real World Division Problems Activity. These problems are all about using division to solve everyday situations."

"You can work on these individually or in pairs. Read the problems carefully, identify what you need to divide, and then solve using the standard algorithm. We'll discuss some of your solutions if we have time."

(Distribute the Real World Division Problems Activity. Circulate and facilitate discussion.)

Cool Down: Exiting the Maze (5 minutes)

"Alright, everyone, as our journey through the long division maze comes to an end, I have one final quick task for you: the Cool Down Exit Ticket. This will help me see what you've learned and what we might need to review."

"Please complete this short question independently before you leave today. Thank you for your hard work and great participation!"

(Distribute or display the Cool Down Exit Ticket. Collect them as students finish.)

Division Drill Worksheet: Conquer the Algorithm!

Directions: Use the standard algorithm to solve the following long division problems. Show all your work in the space provided.

Remember the steps: Divide, Multiply, Subtract, Bring Down, Repeat or Remainder!

1. 78 ÷ 3
   
   
   
   
   
   
   
   
   
   
   
   

2. 96 ÷ 4
   
   
   
   
   
   
   
   
   
   
   
   

3. 135 ÷ 5
   
   
   
   
   
   
   
   
   
   
   
   

4. 252 ÷ 7
   
   
   
   
   
   
   
   
   
   
   
   

5. 348 ÷ 6
   
   
   
   
   
   
   
   
   
   
   
   

6. 425 ÷ 25
   
   
   
   
   
   
   
   
   
   
   
   

7. 576 ÷ 18
   
   
   
   
   
   
   
   
   
   
   
   

8. 847 ÷ 22
   
   
   
   
   
   
   
   
   
   
   
   

Challenge Problem:

9. A factory produces 1,560 toy cars. If they pack 12 cars into each box, how many boxes will they need?
   
   
   
   
   
   
   
   
   
   
   
   
   

Real World Division Problems: Putting Your Skills to the Test!

Directions: Read each problem carefully and use your long division skills to solve them. Show all your work!

1. Party Planning: You are organizing a party for 75 guests. Each table can seat 8 people. How many tables do you need to set up to ensure everyone has a seat?
   
   
   
   
   
   
   
   
   
   
   
   
   

2. Road Trip Adventure: Your family is going on a 450-mile road trip. If you can drive an average of 60 miles per hour, how many hours will the trip take, not including stops?
   
   
   
   
   
   
   
   
   
   
   
   
   

3. Bake Sale Bonanza: A school bake sale raised $385. If each baked good sold for $5, how many baked goods were sold in total?
   
   
   
   
   
   
   
   
   
   
   
   
   

4. Book Collection: You have 620 books to arrange on shelves. If each shelf can hold 40 books, how many shelves will you need? Will all shelves be completely full?
   
   
   
   
   
   
   
   
   
   
   
   
   

5. Running a Marathon: A marathon is 26 miles long. If you run at a steady pace of 4 miles per hour, how many hours will it take you to complete the marathon? Express your answer with a fraction or decimal if needed.
   
   
   
   
   
   
   
   
   
   
   
   
   

Cool Down Exit Ticket: Show What You Know!

Directions: Please answer the following question to show your understanding of long division.

Problem: Divide 189 by 9.

Show all your work using the standard algorithm.

Self-Reflection:

How confident are you in using the standard algorithm for long division? (Circle one)

Not Confident <---> Somewhat Confident <---> Very Confident