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Crack the Addition Code

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Lesson Plan

Crack the Addition Code Lesson Plan

Students will apply multi-digit addition with regrouping to decode and solve real-world addition puzzles, reinforcing step-by-step algorithms and mental strategies for accuracy and fluency.

Mastering addition with regrouping lays the groundwork for advanced computation and problem solving. Engaging puzzles boost confidence, support collaborative learning, and promote automaticity in calculations.

Audience

5th Grade

Time

30 minutes

Approach

Collaborative puzzle challenges

Prep

Material Preparation

20 minutes

Step 1

Warm-Up and Strategy Review

5 minutes

  • Gather students and briefly review place-value concepts.
  • Use the Regrouping Strategy Posters to prompt students to describe when and why they carry over in addition.
  • Ask 2–3 quick mental math addition questions (e.g., 47 + 38) and have volunteers share their steps.

Step 2

Introduce Puzzle Challenge

5 minutes

Step 3

Partner Puzzle Activity

15 minutes

  • Arrange students in pairs and distribute one set of Addition Puzzle Cards and an Answer Recording Sheet to each pair.
  • Start the Classroom Timer for 12 minutes; pairs solve as many puzzles as they can, using strategies from the posters.
  • Circulate to monitor understanding, prompt with guiding questions, and remind pairs to verify with the Addition Solution Keys.
  • After 12 minutes, give a 3-minute warning and encourage teams to finish current puzzles.

Step 4

Exit Ticket and Reflection

5 minutes

  • Distribute the Addition Exit Ticket to each student.
  • Set the Classroom Timer for 4 minutes; students solve the exit problem independently.
  • Collect exit tickets and recording sheets to assess mastery and identify areas for reteaching.
  • Conclude by asking a volunteer to share one strategy they found most helpful from the Regrouping Strategy Posters.
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Slide Deck

Crack the Addition Code

Solve puzzles to practice multi-digit addition with regrouping—let's unlock the secret codes!

Welcome students! Introduce the title and build excitement for today’s puzzle-based addition challenge. Explain that we’ll decode secret codes by mastering multi-digit addition with regrouping.

Lesson Objectives

  • Apply multi-digit addition with regrouping
  • Decode hidden codes by solving addition problems
  • Practice mental strategies and step-by-step algorithms

Read each objective aloud and ensure students understand what success looks like today.

Why Regrouping Matters

Regrouping (carrying) helps us add numbers accurately and efficiently. Mastery builds a foundation for advanced math.

Discuss why regrouping is an essential skill for accurate, efficient addition and how it supports more advanced math topics.

Regrouping Strategy Posters

  • Line up place values
  • Add digits starting from the rightmost column
  • Carry over when sum is ≥ 10
  • Record the carry in the next column

Point out the posters around the room. Walk through each step and invite students to repeat the process.

Puzzle Challenge Rules

  1. Solve the addition on each puzzle card.
  2. Find the hidden code linked to your sum.
  3. Record the code on your answer sheet.
  4. Check your work with the solution key.

Explain each rule of the puzzle challenge. Model how to locate and record the hidden code using the solution key.

Example Puzzle Walkthrough

Puzzle: 456 + 378 = ?

  1. 6 + 8 = 14 ( write 4, carry 1 )
  2. 5 + 7 + 1 = 13 ( write 3, carry 1 )
  3. 4 + 3 + 1 = 8 → Sum = 834

Code for 834 = B7
Record: B7

Work through this example step by step. Show how the sum maps to a secret code.

Partner Puzzle Activity

• Sit with your partner
• Use one set of puzzle cards + answer sheet
• Solve as many as you can in 12 minutes
• Validate answers with the solution key

Arrange students in pairs, distribute puzzle cards and answer sheets, and remind them to use strategies from the posters.

You have 12 minutes to crack the codes. Get ready, set, go!

Press play on the timer video now. After 9 minutes, give a 3-minute warning. Circulate and support teams.

Exit Ticket

Solve: 729 + 486 = ___

Show all addition steps and write your final sum.

Hand out exit tickets. Set the timer for 4 minutes. Students work independently and then submit.

Reflection

Share one strategy from the regrouping posters that helped you today.

Invite volunteers to share their go-to regrouping strategies. Reinforce key takeaways.

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Worksheet

Addition Puzzle Cards

Solve each addition problem. After finding the sum, look up your hidden code in the Addition Solution Keys and write it in the space provided.


1. 457 + 389 = _____
Code: _____


2. 624 + 478 = _____
Code: _____


3. 713 + 589 = _____
Code: _____


4. 856 + 327 = _____
Code: _____


5. 492 + 658 = _____
Code: _____


6. 735 + 264 = _____
Code: _____


7. 918 + 157 = _____
Code: _____


8. 604 + 337 = _____
Code: _____


9. 829 + 415 = _____
Code: _____


10. 741 + 689 = _____
Code: _____


11. 563 + 492 = _____
Code: _____


12. 677 + 328 = _____
Code: _____


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Worksheet

Regrouping Strategy Posters

Use these posters around the room as a quick‐reference guide when you’re adding multi‐digit numbers with regrouping (carrying). Hang each “step” poster separately so students can move through the process visually.


Step 1: Align Place Values

  • Write each number in its own row.
  • Line up digits in the ones, tens, and hundreds columns.

Step 2: Add the Ones Column

  • Add the digits in the ones place first.
  • If the sum is 10 or more, write down the ones digit and carry (regroup) the tens digit to the next column.

Step 3: Add the Tens Column

  • Add the digits in the tens place plus any carried number from Step 2.
  • If the sum is 10 or more, write down the tens digit and carry the hundreds digit to the next column.

Step 4: Add the Hundreds Column

  • Add the digits in the hundreds place plus any carried number from Step 3.
  • Write down the entire sum; there will be no more columns to carry into.

Tip: Always double‐check your carries by counting how many tens you moved over—this prevents small mistakes from snowballing!

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Worksheet

Answer Recording Sheets

Use your Addition Puzzle Cards to solve each puzzle with your partner. Record the sum and the secret code for each problem below. Show your work under each problem.

Student Name: _______________________ Partner Name: _______________________ Date: __________


1. 457 + 389 = _____

Code: _____



2. 624 + 478 = _____

Code: _____



3. 713 + 589 = _____

Code: _____



4. 856 + 327 = _____

Code: _____



5. 492 + 658 = _____

Code: _____



6. 735 + 264 = _____

Code: _____



7. 918 + 157 = _____

Code: _____



8. 604 + 337 = _____

Code: _____



9. 829 + 415 = _____

Code: _____



10. 741 + 689 = _____

Code: _____



11. 563 + 492 = _____

Code: _____



12. 677 + 328 = _____

Code: _____


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Worksheet

Addition Exit Ticket

Student Name: _______________________ Date: __________

Solve the following addition problem. Show all your regrouping steps and write your final sum.

729 + 486 = __________

Show all addition steps below:












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Answer Key

Addition Solution Keys

This answer key provides step-by-step solutions for each puzzle card and the exit ticket, including the hidden codes.


Puzzle Card Solutions

1. 457 + 389

  • Step 1 (Ones): 7 + 9 = 16 → Write 6, carry 1
  • Step 2 (Tens): 5 + 8 = 13; 13 + 1 (carry) = 14 → Write 4, carry 1
  • Step 3 (Hundreds): 4 + 3 = 7; 7 + 1 (carry) = 8
  • Sum: 846
  • Code: A1

2. 624 + 478

  • Ones: 4 + 8 = 12 → Write 2, carry 1
  • Tens: 2 + 7 = 9; 9 + 1 = 10 → Write 0, carry 1
  • Hundreds: 6 + 4 = 10; 10 + 1 = 11
  • Sum: 1102
  • Code: B2

3. 713 + 589

  • Ones: 3 + 9 = 12 → Write 2, carry 1
  • Tens: 1 + 8 = 9; 9 + 1 = 10 → Write 0, carry 1
  • Hundreds: 7 + 5 = 12; 12 + 1 = 13
  • Sum: 1302
  • Code: C3

4. 856 + 327

  • Ones: 6 + 7 = 13 → Write 3, carry 1
  • Tens: 5 + 2 = 7; 7 + 1 = 8
  • Hundreds: 8 + 3 = 11
  • Sum: 1183
  • Code: D4

5. 492 + 658

  • Ones: 2 + 8 = 10 → Write 0, carry 1
  • Tens: 9 + 5 = 14; 14 + 1 = 15 → Write 5, carry 1
  • Hundreds: 4 + 6 = 10; 10 + 1 = 11
  • Sum: 1150
  • Code: E5

6. 735 + 264

  • Ones: 5 + 4 = 9
  • Tens: 3 + 6 = 9
  • Hundreds: 7 + 2 = 9
  • Sum: 999
  • Code: F6

7. 918 + 157

  • Ones: 8 + 7 = 15 → Write 5, carry 1
  • Tens: 1 + 5 = 6; 6 + 1 = 7
  • Hundreds: 9 + 1 = 10
  • Sum: 1075
  • Code: G7

8. 604 + 337

  • Ones: 4 + 7 = 11 → Write 1, carry 1
  • Tens: 0 + 3 = 3; 3 + 1 = 4
  • Hundreds: 6 + 3 = 9
  • Sum: 941
  • Code: H8

9. 829 + 415

  • Ones: 9 + 5 = 14 → Write 4, carry 1
  • Tens: 2 + 1 = 3; 3 + 1 = 4
  • Hundreds: 8 + 4 = 12
  • Sum: 1244
  • Code: I9

10. 741 + 689

  • Ones: 1 + 9 = 10 → Write 0, carry 1
  • Tens: 4 + 8 = 12; 12 + 1 = 13 → Write 3, carry 1
  • Hundreds: 7 + 6 = 13; 13 + 1 = 14
  • Sum: 1430
  • Code: J0

11. 563 + 492

  • Ones: 3 + 2 = 5
  • Tens: 6 + 9 = 15 → Write 5, carry 1
  • Hundreds: 5 + 4 = 9; 9 + 1 = 10
  • Sum: 1055
  • Code: K1

12. 677 + 328

  • Ones: 7 + 8 = 15 → Write 5, carry 1
  • Tens: 7 + 2 = 9; 9 + 1 = 10 → Write 0, carry 1
  • Hundreds: 6 + 3 = 9; 9 + 1 = 10
  • Sum: 1005
  • Code: L2

Exit Ticket Solution

Problem: 729 + 486

  1. Ones: 9 + 6 = 15 → Write 5, carry 1
  2. Tens: 2 + 8 = 10; 10 + 1 = 11 → Write 1, carry 1
  3. Hundreds: 7 + 4 = 11; 11 + 1 = 12

Final Sum: 1215

Show all steps and ensure place‐value alignment when grading.

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