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Criterion A: Presentation
Strengths
Effective use of graphs and diagrams to illustrate concepts and results
Clear presentation of experimental setup and process
Areas for improvement
Improve the flow between different sections of the exploration
Provide a more comprehensive conclusion that ties back to the initial question
Criterion B: Mathematical Communication
Strengths
Effective use of multiple forms of mathematical representation
Good application of mathematical software (Desmos) for visualization
Areas for improvement
Provide more explicit definitions and explanations for key variables and constants
Enhance the clarity of mathematical derivations, especially in the curve-fitting process
Criterion C: Personal Engagement
Strengths
Connection of the investigation to personal experiences
Independent execution of the experiment and analysis
Areas for improvement
Explore the topic from multiple perspectives beyond just mathematical modeling
Include more explicit predictions and hypothesis testing in your investigation
Criterion D: Reflection
Strengths
Consideration of some limitations in the experimental setup and results
Comparison of experimental data with the mathematical model
Areas for improvement
Include more explicit reflection on personal learning outcomes
Provide a more comprehensive discussion of limitations and potential alternative approaches
Criterion E: Use of Mathematics
Strengths
Appropriate application of exponential functions to model cooling processes
Effective use of technology (Desmos) for visualization and analysis
Areas for improvement
Provide more rigorous justification for mathematical steps, especially in the curve-fitting process
Explore the physical meaning of mathematical parameters more deeply to demonstrate thorough understanding