Certainly! Since the specific problem wasn't provided, I'll outline a general approach to identifying an error, explaining it, and using a model or place value concepts to help Mesa understand and correct the mistake.
Step 1: Identify the Error
Let’s consider a hypothetical problem: Mesa was asked to add the numbers 24 and 37.
- Error Example: Suppose Mesa added the numbers incorrectly and got 60 instead of the correct answer (61).
- Analysis of Error: The likely error could involve either miscalculating simple addition or misunderstanding how to carry over values during the addition process.
Step 2: Explain the Error
- Explain What Went Wrong: The error may stem from not correctly adding the numbers in each place value. For example:
- Mesa might have added 4 + 7 and thought it was 10 (which is correct), but then she might not have carried over the 1 to the tens place.
- Next, she might have mistakenly added 2 (the ten's digit of 24) + 3 (the ten's digit of 37) + 0 (the carry) incorrectly, which could result in saying it sums to 6 instead of 6 + 1 (the carry) = 7.
Step 3: Using a Model or Place Value Concepts
To build Mesa’s understanding, we can use place value blocks or drawings to visually represent the numbers:
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Represent 24 and 37 Using Base Ten Blocks:
- Show 24 with 2 ten-blocks (representing 20) and 4 unit blocks (representing 4).
- Show 37 with 3 ten-blocks (representing 30) and 7 unit blocks (representing 7).
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Combine the Blocks:
- When you combine them, first add the unit blocks (4 + 7). Using the blocks, explain:
- Place 4 blocks together with 7 blocks. Count them together to see there are 11 blocks (which can help reinforce the need to carry).
- Explain that 11 consists of 1 ten-block (which can be carried over) and 1 unit block (the remainder).
- When you combine them, first add the unit blocks (4 + 7). Using the blocks, explain:
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Adding the Ten’s Place:
- Now, add the ten-blocks: 2 ten-blocks (from 24), 3 ten-blocks (from 37), and 1 ten-block (from carrying over).
- This gives us a total of 2 + 3 + 1 = 6 ten-blocks, equating to 60.
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Final Addition:
- Combine the 60 (six ten-blocks) and the extra 1-unit block from the units place. This equals 61.
Conclusion
Correct Answer: 61
Reinforcement:
Encourage Mesa to use this visual method whenever she adds numbers, as it provides a clearer understanding of the place values and the carrying process. This will help her avoid similar errors in the future and build confidence in her mathematical skills.
Ensure she practices with additional problems using blocks or drawings, reinforcing the steps clearly, and slowly transitioning to computation without visual aids once she feels comfortable.
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