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Which of the following tasks is least li...

Which of the following tasks is least likely to develop critical thinking among students?

A

Evaluate `72 xx 73` in three different ways and compare the result.

B

Formulate any two situations to represent the equation `7x+3= 24.`

C

A student calculated the volume of a right circular cylinder of radius 3.5 cm and height 10 cm as `38.5 cm^3`. Where did she go wrong?

D

Calculate the volume of a right circular cylinder of radius 3.5 cm and height 10 cm.

Text Solution

AI Generated Solution

The correct Answer is:
To determine which task is least likely to develop critical thinking among students, let's analyze each option step by step. ### Step 1: Analyze Option A **Task**: Evaluate 22 into 23 in three different ways and compare the results. - This task requires students to think critically about different methods of multiplication (e.g., using the distributive property, area model, or standard algorithm). - Comparing results encourages analysis and evaluation of methods. **Conclusion**: This task promotes critical thinking. ### Step 2: Analyze Option B **Task**: Formulate any two situations to represent the equation 7x + 3 = 24. - This task requires students to create real-world scenarios that fit a given algebraic equation. - It encourages creativity and application of mathematical concepts to real-life situations. **Conclusion**: This task promotes critical thinking. ### Step 3: Analyze Option C **Task**: A student calculated the volume of a right circular cylinder of radius 3.5 cm and height 10 cm and found it to be 38.5 cm³. Where did she go wrong? - This task involves identifying errors in the calculation of volume, which requires understanding the formula for volume and critical evaluation of the student's work. - It encourages students to analyze and reflect on their calculations. **Conclusion**: This task promotes critical thinking. ### Step 4: Analyze Option D **Task**: Calculate the volume of a right circular cylinder of radius 3.5 cm and height 10 cm. - This task is straightforward and involves applying a formula without requiring deeper analysis or evaluation. - It is more about computation than critical thinking. **Conclusion**: This task is least likely to develop critical thinking. ### Final Answer The task that is least likely to develop critical thinking among students is **Option D**: Calculate the volume of a right circular cylinder of radius 3.5 cm and height 10 cm.
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