Solving Math Puzzles with MDAS

Introduction

Welcome to the "MDAS Math Puzzle Adventure"! You are a mathematical detective on a mission to solve a series of complex math puzzles. In this WebQuest, you will practice using the order of operations (MDAS) to solve problems that require a combination of multiplication, division, addition, and subtraction. By following the correct sequence, you'll uncover clues to unlock the final puzzle and complete your mission.

Task

You will work through a series of 5 math puzzles involving MDAS, exploring online resources to review the rules of the order of operations. After each puzzle, you will submit your answers and explanations. The final puzzle will test your ability to apply the MDAS rules correctly. If you succeed, you'll receive a certificate of completion!

Process

Review the MDAS Order of Operations:

1. Pay special attention to the following rules:

  • First: Multiplication and Division (from left to right)
  • Second: Addition and Subtraction (from left to right)

 2. Solve the Puzzles: Below are the math puzzles you need to solve using MDAS:

  • Puzzle 1:

    7+4×3−2÷2

    What is the answer? Show your steps and explain why you followed the order of operations.

  • Puzzle 2:

    8×(5+3)−6÷2

    Solve this one using parentheses first, then follow the MDAS rule.

  • Puzzle 3:

    9+6×2−4÷2+1

    Solve this problem step by step, and ensure you handle multiplication and division first.

  • Puzzle 4:

    15−3+4×2÷4

    Apply MDAS and explain each operation you do.

  • Puzzle 5 (Final Challenge):

    (8+6)×3−5÷(1+1)

    Use parentheses to help guide you through the order of operations.

 3. Submit Your Answers: After solving each puzzle, write your answers and show the step-by-step solutions on a digital worksheet or in a Word document. Make sure to explain why you performed each operation in the sequence that you did.

4. Reflection: Once you have solved all the puzzles, reflect on what you have learned about the order of operations. Answer the following questions:

     A. Why is it important to follow the MDAS rule when solving math problems?

     B. How can understanding the order of operations help you solve more complex math problems in the future?

5. Final Puzzle (Bonus Challenge): After completing the regular puzzles, test your skills by solving a more challenging puzzle. Share your process and answer in the discussion forum: 10×3+5−4÷2+12×(3−2)

 

Resources:

    1. Khan Academy videos on the order of operations: Khan Academy Order of Operations
    2. Math Is Fun (Order of Operations): Math Is Fun MDAS
    3. Online Math Solver: Desmos Calculator
Evaluation

Evaluation:

Criteria

Level 4 (Excellent) 26-30 points

Level 3 (Proficient) 21-25 points

Level 2 (Basic)  16-20 points

Level 1 (Needs Improvement)    0-15 points

Accuracy of Answers

All solutions are correct, and the MDAS order of operations is applied perfectly in all problems.

Most solutions are correct, with minor errors in applying MDAS.

Several solutions are incorrect, and MDAS is inconsistently applied.

Many solutions are incorrect, and MDAS is not applied properly.

Explanation of Steps

Each step is clearly explained, with logical reasoning showing full understanding of MDAS rules.

Explanations are clear but may lack some detail or minor clarity.

Explanations are vague or incomplete, with some misunderstanding of the MDAS rules.

Explanations are unclear or missing, and there is little understanding of MDAS.

Use of Online Resources

Effectively used all provided online resources to review MDAS and solve problems. Demonstrates a thorough understanding from these resources.

Used online resources well, but with some minor errors in interpretation or application.

Limited use of online resources or unclear understanding of the MDAS rules from the resources.

Did not effectively use online resources or failed to follow the guidance from them.

Reflection

Provides a detailed, thoughtful reflection with clear answers to the questions, showing deep understanding of the importance of MDAS.

Provides a reasonable reflection with answers to the questions, but lacking depth or full understanding.

Provides a minimal reflection with little insight into the importance of MDAS.

Reflection is missing, incomplete, or does not address the importance of MDAS.

Bonus Challenge (Final Puzzle)

The final challenge puzzle is solved correctly, with all steps clearly shown and explained.

The final challenge puzzle is mostly solved correctly, with minor errors.

The final challenge puzzle is partially solved, with multiple errors.

The final challenge puzzle is incorrect or not attempted.

Presentation and Submission

The final submission is well-organized, with all work neatly presented and easy to follow.

The submission is organized, but could be clearer in places.

The submission is somewhat disorganized, with unclear work or formatting.

The submission is unorganized, making it difficult to follow the work or solutions.

 

Scoring Breakdown:

Level 4 (Excellent): 26-30 points

Level 3 (Proficient): 21-25 points

Level 2 (Basic): 16-20 points

Level 1 (Needs Improvement): 0-15 points

Conclusion

Congratulations! You’ve completed the MDAS Math Puzzle Adventure. By using the order of operations correctly, you've sharpened your problem-solving skills. Keep practicing these skills to become even better at tackling more complex math challenges!

Credits

Resources:

  1. Khan Academy videos on the order of operations: Khan Academy Order of Operations
  2. Math Is Fun (Order of Operations): Math Is Fun MDAS
  3. Online Math Solver: Desmos Calculator

 

Teacher Page

This WebQuest incorporates an engaging way for students to practice MDAS while utilizing online resources to reinforce learning. It encourages not only the application of mathematical skills but also critical thinking and reflection.