How does the surface area to volume ratio of different geometric figures (cube, sphere and cylinder) affect the melting time of ice and what is the optimal shape that minimizes the surface area of a fixed volumeHL
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7
Official IB Result
IB Grade: 7
Criteria A: Presentation
4/4
0
2
4
Criteria StrandsPro
A.1Coherence and logical development
Moderate
A.2Organization and structure
Moderate
A.3Conciseness and relevance
Moderate
Criteria Feedback
- The student used a recognizable overall structure with sections for background, method, analysis, evaluation, and conclusion.
- The exploration is generally focused on a relevant real-world question about shape, surface area, and melting.
- Most of the content stays on topic and supports the central investigation.
- The line of argument is weakened by inconsistencies in the research question and by claims that do not match the calculations shown.
- Some sections repeat similar ideas rather than developing the investigation forward.
- Formatting and symbol-rendering problems make parts of the work difficult to follow.
Criteria B: Mathematical Communication
4/4
0
2
4
Criteria StrandsPro
B.1Mathematical language and notation
Poor
B.2Multiple representations
Moderate
B.3Clarity and consistency
Poor
Criteria Feedback
- The student uses appropriate mathematical terms such as surface area, volume, ratio, regression, and averages.
- The student includes several relevant representations, including tables, graphs, and formulae.
- When the student's notation is readable, it helps show the steps of some calculations.
- Several formulas, symbols, and units are hard to read or corrupted, which makes the mathematics difficult to check.
- Some graphs and regression statements are not communicated consistently with the written interpretation.
- The representations are limited in scope and do not fully support a strong mathematical argument.
Criteria C: Personal Engagement
1/3
0
2
3
Criteria StrandsPro
C.1Independent thinking
Poor
C.2Personal approach
Poor
C.3Creativity and initiative
Poor
Criteria Feedback
- Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua.
- Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat.
- Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur.
- Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.
Criteria D: Reflection
3/3
0
2
3
Criteria StrandsPro
D.1Depth of reflection
Poor
D.2Critical analysis
Poor
D.3Connection to understanding
Good
Criteria Feedback
- Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua.
- Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat.
- Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur.
- Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.
Criteria F: Use of Mathematics (HL)
6/6
0
3
6
Criteria StrandsPro
F.1Relevance and level
Poor
F.2Accuracy and correctness
Poor
F.3Knowledge and understanding
Poor
Criteria Feedback
- Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua.
- Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat.
- Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur.
- Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.