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Regrouping Ruckus!

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Lesson Plan

Regrouping Ruckus!

Students will accurately add and subtract multi-digit numbers using the regrouping strategy.

Mastering regrouping is crucial for all higher-level math concepts. This lesson provides targeted support to help students build a strong foundation, leading to greater confidence and success in mathematics.

Audience

5th and 6th Grade Boys, Intervention Group

Time

30 minutes

Approach

Direct instruction, guided practice, and independent application.

Materials

Whiteboard or projector, Markers/pens, Individual whiteboards or scratch paper, Regrouping Ruckus Slides, Regrouping Ruckus Script, Regrouping Ruckus Worksheet, and Regrouping Ruckus Answer Key

Prep

Teacher Preparation

10 minutes

Step 1

Warm-Up: Brain Builder (5 minutes)

5 minutes

Step 2

Direct Instruction: Unpacking Regrouping (10 minutes)

10 minutes

  • Use Regrouping Ruckus Slides to explain addition and subtraction with regrouping step-by-step.
    - Follow the narrative in the Regrouping Ruckus Script.
    - Model examples clearly on the board, emphasizing place value and the borrowing/carrying process.

Step 3

Guided Practice: Team Up! (10 minutes)

10 minutes

  • Distribute the Regrouping Ruckus Worksheet.
    - Work through the first few problems on the worksheet together as a group, providing support and correcting misconceptions as they arise.
    - Encourage students to explain their thinking.
    - Refer to the Regrouping Ruckus Script for prompts and questions.

Step 4

Independent Practice & Wrap-Up (5 minutes)

5 minutes

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Slide Deck

Regrouping Ruckus!

Ready to master addition & subtraction?

Welcome students and introduce the topic. Emphasize that this is a practice session to strengthen their skills. Ask a quick warm-up question to get their brains thinking about numbers.

Addition: Building Up!

When we add, sometimes we make a group of ten (or more!) in one place value column. What do we do then?

Explain the importance of place value when adding. Walk through an example, clearly showing how to 'carry over' tens or hundreds. Use simple language and visuals.

Let's Add It Up!

Example: 34 + 18

  1. Add the ones column (4 + 8 = ?)
  2. What happens if it's 10 or more?
  3. Carry over to the tens column!
  4. Add the tens column (3 + 1 + carried over number = ?)

Provide a clear example of addition with regrouping. Work through it step-by-step with the students. Encourage them to explain why we carry over.

Subtraction: Trading Places!

Sometimes we need more in a column to subtract. Where can we get it from? We 'borrow' or 'trade' from the next door neighbor!

Transition to subtraction. Explain the concept of 'borrowing' or 'trading' from a higher place value. Use an analogy if helpful (e.g., borrowing a cup of sugar).

Time to Subtract!

Example: 52 - 27

  1. Look at the ones column (2 - 7). Can we do it?
  2. Trade from the tens column!
  3. Now, subtract the ones.
  4. Subtract the tens.

Provide a clear example of subtraction with regrouping. Work through it step-by-step with the students. Emphasize showing their work.

Your Turn! (Worksheet Time)

We'll do a few problems together, then you'll tackle some on your own! Remember what we learned:

Introduce the worksheet. Explain that they will work on some together and then try some on their own. Reinforce that it's okay to make mistakes and ask questions.

Mission Accomplished!

What's one thing you remembered about regrouping today?

Great job everyone! Keep practicing!

Conclude the lesson by asking a quick question to check for understanding or by having students share one thing they learned. Reinforce their progress and positive effort.

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Script

Regrouping Ruckus Script

Warm-Up: Brain Builder (5 minutes)

Teacher: "Alright team, welcome to Regrouping Ruckus! Today, we're going to level up our addition and subtraction skills, especially when numbers get a little tricky. Let's start with a quick brain builder! Who can tell me, without writing it down, what is 7 + 5?"


Teacher: "Excellent! Now, imagine we have 13 apples. If I take away 6, how many are left?"


Teacher: "Fantastic! You're already warming up those math muscles. Today, we're going to tackle bigger numbers and learn a super important trick called 'regrouping' or 'borrowing and carrying.' This helps us when we have too much or not enough in a place value column. Let's dive in!"

(Transition to Regrouping Ruckus Slides - Slide 1)

Direct Instruction: Unpacking Regrouping (10 minutes)

Teacher: "Look at our first slide, 'Addition: Building Up!'. When we add numbers, we always start in the ones place. Sometimes, when we add the numbers in the ones column, our answer is 10 or more. We can't put two digits in the ones place, right? So, what do we do? We regroup!"

(Transition to Regrouping Ruckus Slides - Slide 2: Addition Example)

Teacher: "Let's look at this example: 34 + 18. First, we add the ones column: 4 + 8. What does that give us?"


Teacher: "That's right, 12! Now, we can't write 12 in the ones column. So, we keep the 2 in the ones place and we 'carry over' the 1 (which represents 10) to the tens column. Think of it like taking 10 ones and trading them for 1 ten. It's the same amount, just grouped differently."

Teacher: "Now we add the tens column: 3 + 1, plus that 1 we carried over. What's our total in the tens place?"


Teacher: "You got it, 5! So, 34 + 18 equals 52. Any questions about carrying over for addition?"

(Pause for questions)

Teacher: "Great! Now let's switch gears to subtraction. Look at our slide, 'Subtraction: Trading Places!' Sometimes when we subtract, the top number in a column is smaller than the bottom number. We can't just flip them, can we? That's when we need to 'borrow' or 'trade' from the next place value column."

(Transition to Regrouping Ruckus Slides - Slide 4: Subtraction Example)

Teacher: "Let's try 52 - 27. We always start in the ones place: 2 - 7. Can we take 7 from 2?"


Teacher: "No, we can't! So, we go to our neighbor, the tens place. The 5 in the tens place is actually 50. We're going to 'borrow' one of those tens, making the 5 a 4. That 1 ten (or 10 ones) gets added to our 2 in the ones place, making it 12."

Teacher: "Now we have 12 - 7 in the ones place. What's that?"


Teacher: "Perfect, 5! And in the tens place, we now have 4 - 2. What's that?"


Teacher: "Awesome, 2! So, 52 - 27 equals 25. Remember, when you borrow, the number you borrow from goes down by one, and the number you borrow for goes up by ten!"

Guided Practice: Team Up! (10 minutes)

Teacher: "You guys are doing great! Now, it's time to put these skills into action. I'm handing out the Regrouping Ruckus Worksheet. We're going to work on the first couple of problems together as a group. You can work on your individual whiteboards or on your worksheet."

(Distribute Regrouping Ruckus Worksheet - Transition to Regrouping Ruckus Slides - Slide 6)

Teacher: "Look at problem #1 on your worksheet. It's an addition problem. Who wants to guide us through the first step? What do we do with the ones column?"


Teacher: "Excellent! Now, for problem #2, a subtraction problem. What's the first thing we check in the ones column? Do we need to borrow?"


Teacher: "Exactly! Work through it on your whiteboards or paper. Don't be afraid to ask questions or share your thinking with the group. We're a team here!"

(Circulate, provide support, and facilitate discussion on a few more problems as a group.)

Independent Practice & Wrap-Up (5 minutes)

Teacher: "You've got the hang of this! For the next few minutes, I want you to work on the rest of the problems on your Regrouping Ruckus Worksheet by yourselves. Take your time, show your work, and remember those steps for regrouping and borrowing."

(Circulate and provide individual support. After a few minutes, bring the group back together.)

Teacher: "Alright everyone, pencils down. Great effort today! Before we finish, can someone tell me one thing you learned or remembered about regrouping today that will help you with future math problems?"


Teacher: "Awesome! Keep practicing these skills, they're super important. You did a fantastic job tackling the Regrouping Ruckus! I'll collect your worksheets."

(Transition to Regrouping Ruckus Slides - Slide 7)

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Worksheet

Regrouping Ruckus Worksheet

Name: ________________________

Date: _________________________

Part 1: Addition with Regrouping

Solve the following addition problems. Show your work!

  1. 45 + 27






  2. 68 + 15






  3. 139 + 43






  4. 256 + 178






Part 2: Subtraction with Regrouping

Solve the following subtraction problems. Show your work!

  1. 53 - 18






  2. 70 - 26






  3. 124 - 57






  4. 315 - 198






Challenge Question!

Maria has 145 stamps. Her friend, David, gives her 78 more stamps. How many stamps does Maria have in total? Show your work!











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Answer Key

Regrouping Ruckus Answer Key

Part 1: Addition with Regrouping

1. 45 + 27

  • Step 1: Add the ones. 5 + 7 = 12. Write down 2 in the ones place and carry over 1 to the tens place.
  • Step 2: Add the tens. 4 + 2 + 1 (carried over) = 7. Write down 7 in the tens place.
  • Answer: 72

2. 68 + 15

  • Step 1: Add the ones. 8 + 5 = 13. Write down 3 in the ones place and carry over 1 to the tens place.
  • Step 2: Add the tens. 6 + 1 + 1 (carried over) = 8. Write down 8 in the tens place.
  • Answer: 83

3. 139 + 43

  • Step 1: Add the ones. 9 + 3 = 12. Write down 2 in the ones place and carry over 1 to the tens place.
  • Step 2: Add the tens. 3 + 4 + 1 (carried over) = 8. Write down 8 in the tens place.
  • Step 3: Add the hundreds. 1 + 0 = 1. Write down 1 in the hundreds place.
  • Answer: 182

4. 256 + 178

  • Step 1: Add the ones. 6 + 8 = 14. Write down 4 in the ones place and carry over 1 to the tens place.
  • Step 2: Add the tens. 5 + 7 + 1 (carried over) = 13. Write down 3 in the tens place and carry over 1 to the hundreds place.
  • Step 3: Add the hundreds. 2 + 1 + 1 (carried over) = 4. Write down 4 in the hundreds place.
  • Answer: 434

Part 2: Subtraction with Regrouping

1. 53 - 18

  • Step 1: Subtract the ones. We cannot take 8 from 3. Regroup from the tens place. The 5 in the tens place becomes 4. The 3 in the ones place becomes 13. Now, 13 - 8 = 5.
  • Step 2: Subtract the tens. 4 - 1 = 3.
  • Answer: 35

2. 70 - 26

  • Step 1: Subtract the ones. We cannot take 6 from 0. Regroup from the tens place. The 7 in the tens place becomes 6. The 0 in the ones place becomes 10. Now, 10 - 6 = 4.
  • Step 2: Subtract the tens. 6 - 2 = 4.
  • Answer: 44

3. 124 - 57

  • Step 1: Subtract the ones. We cannot take 7 from 4. Regroup from the tens place. The 2 in the tens place becomes 1. The 4 in the ones place becomes 14. Now, 14 - 7 = 7.
  • Step 2: Subtract the tens. We cannot take 5 from 1. Regroup from the hundreds place. The 1 in the hundreds place becomes 0. The 1 in the tens place becomes 11. Now, 11 - 5 = 6.
  • Step 3: Subtract the hundreds. 0 - 0 = 0.
  • Answer: 67

4. 315 - 198

  • Step 1: Subtract the ones. We cannot take 8 from 5. Regroup from the tens place. The 1 in the tens place becomes 0. The 5 in the ones place becomes 15. Now, 15 - 8 = 7.
  • Step 2: Subtract the tens. We cannot take 9 from 0. Regroup from the hundreds place. The 3 in the hundreds place becomes 2. The 0 in the tens place becomes 10. Now, 10 - 9 = 1.
  • Step 3: Subtract the hundreds. 2 - 1 = 1.
  • Answer: 117

Challenge Question!

Maria has 145 stamps. Her friend, David, gives her 78 more stamps. How many stamps does Maria have in total? Show your work!

  • Step 1: Identify the operation. The words "gives her more" and "in total" indicate an addition problem.
  • Step 2: Set up the problem. 145 + 78
  • Step 3: Add the ones. 5 + 8 = 13. Write down 3, carry over 1.
  • Step 4: Add the tens. 4 + 7 + 1 (carried over) = 12. Write down 2, carry over 1.
  • Step 5: Add the hundreds. 1 + 0 + 1 (carried over) = 2. Write down 2.
  • Answer: Maria has 223 stamps in total.
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