Criterion A: The topic of the Internal assessment is stated clearly and explained in the introduction

Comment: The topic was first stated at the top of the first page. Then, the aim of the study was formulated in the introduction, together with pointing out the factors taken into account.

Criterion A: The topic of the Internal assessment is stated clearly and explained in the introduction

Comment: The topic was first stated at the top of the first page. Then, the aim of the study was formulated in the introduction, together with pointing out the factors taken into account.

Criterion A: The introduction includes a general description of the student's approach to the topic and what area of the math curriculum the exploration focuses on

Comment: The student discussed the steps that will be taken in depth. They stated they would focus on regression methods and Pearson's correlation.

Criterion A: The conclusion is a summary of the outcomes and a response to the aim of the exploration stated in the introduction

Comment: The opening statement of the conclusion verifies the hypothesis stated in the introduction. Then, the student answered the aim by referring to the positive/negative correlation, citing the exact numerical values obtained throughout the study. The answer to the topic is thorough.

Criterion A: The conclusion is a summary of the outcomes and a response to the aim of the exploration stated in the introduction

Comment: The opening statement of the conclusion verifies the hypothesis stated in the introduction. Then, the student answered the aim by referring to the positive/negative correlation, citing the exact numerical values obtained throughout the study. The answer to the topic is thorough.

Criterion A: The exploration is clear and understandable throughout - no rereading of sections is necessary

Comment: The size of this formula is too big compared to the rest of the paper's content. The student should have made it smaller and stuck to one font size throughout to facilitate the reading (sometimes the use of a bigger font is justified e.g. headings of the sections can be bigger than the text). The essay does not look neat.

Criterion A: The exploration is clear and understandable throughout - no rereading of sections is necessary

Comment: Graph 2 could be better calibrated so the important aspects are better visible.

Criterion A: The exploration is clear and understandable throughout - no rereading of sections is necessary

Comment: Graph 3 could be better calibrated so the important aspects are better visible.

Criterion A: The exploration is clear and understandable throughout - no rereading of sections is necessary

Comment: The labels on Graph 5 are too small and the graph's quality is poor The student should have ensured that the important aspects are clearly displayed.

Criterion A: The exploration is clear and understandable throughout - no rereading of sections is necessary

Comment: Again, the labels on Graph 6 are too small and the graph's quality is poor The student should have ensured that the important aspects are clearly displayed.

Criterion A: The exploration is clear and understandable throughout - no rereading of sections is necessary

Comment: Graph 10 looked disorganised. The student should have ensured that annotations helped to understand the concepts described.

Criterion A: The use of technology, when applied, is clearly indicated and explained

Criterion A: The use of technology, when applied, is clearly indicated and explained

Criterion A: The use of technology, when applied, is clearly indicated and explained

Criterion A: The use of technology, when applied, is clearly indicated and explained

Criterion A: The use of technology, when applied, is clearly indicated and explained

Criterion A: The use of technology, when applied, is clearly indicated and explained

Criterion A: The use of technology, when applied, is clearly indicated and explained

Criterion A: The use of technology, when applied, is clearly indicated and explained

Criterion A: The use of technology, when applied, is clearly indicated and explained

Criterion A: The use of technology, when applied, is clearly indicated and explained

Criterion A: The use of technology, when applied, is clearly indicated and explained

Criterion A: If analytical software is used, its purpose is described and the link to it is provided

Comment: The student used in-text citations to cite Excel and Desmos. However, the in-text citations are just a shortened form of the full citations that have to be present in the bibliography. Additionally, the citations for Desmos and Excel are missing. The student should have included them in the list in the "Works Cited" section.

Criterion A: Only large tables (raw data) or additional diagrams/graphs are attached as appendices

Comment: Many appendices are attached. All of them are large data tables of calculation that did not have to be included in the main body.

Criterion A: Only large tables (raw data) or additional diagrams/graphs are attached as appendices

Comment: Many appendices are attached. All of them are large data tables of calculation that did not have to be included in the main body.

Criterion A: All mathematical formulae, equations, and other calculations are centered

Comment: The formula for the Pearson correlation coefficient is right-aligned. The student should have centered it.

Criterion A: All mathematical formulae, equations, and other calculations are centered

Comment: These calculations are left-aligned. The student should have centered them.

Criterion A: All mathematical formulae, equations, and other calculations are centered

Comment: These calculations are left-aligned. The student should have centered them.

Criterion A: All mathematical formulae, equations, and other calculations are centered

Comment: These formulas are left-aligned. The student should have centered them.

Criterion A: All mathematical formulae, equations, and other calculations are centered

Comment: These formulas are left-aligned. The student should have centered them.

Criterion A: All mathematical formulae, equations, and other calculations are centered

Comment: These calculations are left-aligned. The student should have centered them.

Criterion A: All mathematical formulae, equations, and other calculations are centered

Comment: These calculations are left-aligned. The student should have centered them.

Criterion B: Correct mathematical notation, symbols, and terminology are used consistently and correctly

Comment: The x and y axes should have been drawn (bearing in mind that they should end with arrows).

Criterion B: Correct mathematical notation, symbols, and terminology are used consistently and correctly

Comment: The x and y axes should have been drawn (bearing in mind that they should end with arrows). Additionally, the equations of the lines/curves should have been provided.

Criterion B: Correct mathematical notation, symbols, and terminology are used consistently and correctly

Comment: The x and y axes should have been drawn (bearing in mind that they should end with arrows). Additionally, the equations of the lines/curves should have been provided.

Criterion B: Correct mathematical notation, symbols, and terminology are used consistently and correctly

Comment: The x and y axes should have been drawn (bearing in mind that they should end with arrows).

Criterion B: Correct mathematical notation, symbols, and terminology are used consistently and correctly

Comment: The x and y axes should have been drawn (bearing in mind that they should end with arrows). The equation of the function should have been bigger.

Criterion B: Correct mathematical notation, symbols, and terminology are used consistently and correctly

Comment: The x and y axes should have been drawn (bearing in mind that they should end with arrows). The equation of a function could have been smaller.

Criterion B: Correct mathematical notation, symbols, and terminology are used consistently and correctly

Comment: The x and y axes should have been drawn (bearing in mind that they should end with arrows). The equation of a function could have been smaller.

Criterion B: Correct mathematical notation, symbols, and terminology are used consistently and correctly

Comment: It was not necessary to leave so much blank space under the function. Additionally, the x and y axes should have been drawn (bearing in mind that they should end with arrows). The equation of a function could have been smaller.

Criterion B: Correct mathematical notation, symbols, and terminology are used consistently and correctly

Comment: The x and y axes should have been drawn (bearing in mind that they should end with arrows). Also, the equation of the function is missing a left-hand side "y = " - in other terms, it is not an equation at the moment. The separation between the labels of the points on the function could have been bigger to enhance clarity.

Criterion B: Correct mathematical notation, symbols, and terminology are used consistently and correctly

Comment: The x and y axes should have been drawn (bearing in mind that they should end with arrows). The separation between the labels of the points on the red function could have been bigger to enhance clarity.

Criterion B: Key terms/variables are defined and explained when first introduced

Comment: This criterion is satisfied by the "Definitions" section, where the definitions for the key terms are provided alongside appropriate citations.

Criterion B: The main concepts are described in the introduction

Comment: The equation for the Pearson correlation coefficient was provided and all of its terms were explained (alongside the proper in-text citation).

Criterion B: Additional terms are defined in detail in appropriate places (dependent on the development of the exploration)

Comment: The equation for the Linear estimation of the CO2 emissions of Canada was provided and all of its terms were explained (alongside the proper in-text citation).

Criterion B: All mathematical calculations are explained and any data presentation is described

Comment: The student did not only list the partial derivatives but showed the way of obtaining them step-by-step.

Criterion B: All mathematical calculations are explained and any data presentation is described

Comment: The student did not only list the partial derivatives but showed the way of obtaining them step-by-step.

Criterion B: The degree of accuracy is stated for any rounded values

Comment: The values of the Pearson correlation coefficient for CO2 emissions of Russia are rounded but the student did not state it. They should have indicated the accuracy of rounding for every rounded value. Also, the values in the column of the table need to have the same number of decimal places, which is not the case here. The student should have stuck to either 3 or 4 decimal places.

Criterion B: The degree of accuracy is stated for any rounded values

Comment: The values of "r" are rounded but the student did not state it. They should have indicated the accuracy of rounding for every rounded value. Also, the values in the column of the table need to have the same number of decimal places, which is not the case here. The student should have stuck to either 3 or 4 decimal places.

Criterion B: The graphs, tables, and diagrams are labeled (titled and numbered) at the bottom

Comment: The table was not labeled. The student should have numbered and titled the table at the bottom.

Criterion B: The graphs, tables, and diagrams are labeled (titled and numbered) at the bottom

Comment: The table was not labeled. The student should have numbered and titled the table at the bottom.

Criterion B: The graphs, tables, and diagrams are labeled (titled and numbered) at the bottom

Comment: The table was not labeled. The student should have numbered and titled the table at the bottom.

Criterion B: The graphs, tables, and diagrams are labeled (titled and numbered) at the bottom

Comment: The table was not labeled. The student should have numbered and titled the table at the bottom.

Criterion B: The graphs, tables, and diagrams are labeled (titled and numbered) at the bottom

Comment: The table was not labeled. The student should have numbered and titled the table at the bottom.

Criterion B: The graphs, tables, and diagrams are labeled (titled and numbered) at the bottom

Comment: The table was not labeled. The student should have numbered and titled the table at the bottom.

Criterion B: The graphs, tables, and diagrams are labeled (titled and numbered) at the bottom

Comment: The table was not labeled. The student should have numbered and titled the table at the bottom.

Criterion B: The graphs, tables, and diagrams are labeled (titled and numbered) at the bottom

Comment: The graph is numbered and the citation is provided but the title is missing, which should not have been the case.

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