Edexia for IB Mathematics
For Mathematics: Analysis and Approaches and Mathematics: Applications and Interpretation.
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Scanning instructionsMarked against the IBO marking checklist
Each step of the working ticked against the checklist. Every mark yours to change.
Instructions
20 marksHow does the writer use narrative voice in this article?
Response
The pain of language loss in families is exposed through an article written by Mithu Sanyal, who effectively employs narrative voice to promote a message concerning the importance of understanding a native language. Through an anecdotal recount, statistical insight, and an expert opinion to encourage change - all woven with an inclusive narrative voice - Sanyal prefronts the necessity of learning one's native language; not for personal acheivement but familial connection. Sanyal uses voice in establishing a mutual connection with readers from the offset through an anecdotal recount. The writer immediately poses a rhetorical question that invites intimacy: asking whether readers "want to know a secret". In using this question and directly engaging with them, Sanyal gives rise to a sense of immediacy between himself and the audience, encouraging readers to obtain this secret by continuing to traverse through the text. The use of subtle details in adding phrases such as Sanyal's friend who is "an author, like [her]" further places significance upon the importance of establishing a mutual connection in communicating an apparent message regarding familial language loss. Additionally, the emulation of how the author "couldn't understand what [her father] was saying" and her inability to "pronounce [her name] correctly" exemplifies the cost of insufficient language acquisition on familial relations, highlighting the power of establishing immediacy with the reader and its effect on emotional appeal. Yet, her concise and blunt claim that she "can't even say [her] own name" magnifies her internal conflict, spotlighting how narrative voice can mould the truth into an emotional burden for the reader. Hence, Sanyal shines a light on how establishing a mutual connection better transmits her message on native language barriers. Furthermore, Sanyal's sense of immediacy, paired with a statistical insight, elevates her attempt to voice the imperativeness of language acquisition. De Houwer's studies, which reveal that "between 12% and 44% of children ... end up speaking only one language", emphasises how the struggle to claim a language is not merely limited to a number of individuals - it is instead subject to many children globally. Here, Sanyal implements such information to prompt reflection out of the reader, allowing them to question whether they are also subject to this issue. The exclamative phrase that children sense that their other language is "worthless" further underlines how such mistakes are often normalised, calling on the reader to consider Sanyal's argument as a threat towards cultural ecstasy. Thus, the author quantifies the impact of a lack of language acquisition with an emotional undertone, reinforcing the urgency of her message. Finally, Sanyal utilises an expert opinion alongside her sentimental approach towards narrative voice to encourage action from the audience. De Houwer's grave revelation that "language regret" is "not good for family relations" underscores the impact of this widespread issue, not only on individuals, but familial bonds too. The use of anaphora in elevating the importance of speaking one's parent's language "for [parents], for
General
Criterion A: Knowledge, Understanding and Interpretation
4/5Criterion B: Analysis and Evaluation
4/5Criterion C: Coherence, Focus and Organisation
4/5Criterion D: Language
4/5Rubric
| Criteria description | 1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|
Criterion A: Knowledge, Understanding and Interpretation | Little knowledge/understanding of the text; interpretations rarely supported by references. | Some knowledge/understanding; interpretations sometimes supported by references. | Adequate knowledge/understanding; interpretations generally supported by references. | Good knowledge/understanding; interpretations frequently supported by appropriate references. | Perceptive knowledge/understanding; interpretations effectively supported by convincing references. |
Criterion B: Analysis and Evaluation | Little analysis/evaluation of how authorial stylistic and structural features shape meaning. | Some analysis/evaluation of how authorial stylistic and structural features shape meaning. | Adequate analysis of how authorial stylistic and structural features shape meaning. | Good analysis and evaluation of how authorial stylistic and structural features shape meaning. | Insightful analysis and evaluation of how authorial stylistic and structural features shape meaning. |
Criterion C: Coherence, Focus and Organisation | Little coherence, focus and organisation. | Some coherence, focus and organisation. | Adequate coherence, focus and organisation. | Good coherence, focus and organisation. | Effective coherence, focus and organisation. |
Criterion D: Language | Rarely accurate, varied and effective. | Sometimes accurate, varied and effective. | Generally accurate, varied and effective. | Frequently accurate, varied and effective. | Convincingly accurate, varied and effective. |
Instructions
Question 1 · 4 marksFind the stationary points of f(x) = x³ − 6x² + 9x + 1 and determine their nature.
Response
Rubric
- Finds f′(x) and solves f′(x) = 01
- Finds both stationary points1
- Determines the nature of each point with a test2
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Instructions
4 marksFind the stationary points of f(x) = x³ − 6x² + 9x + 1 and determine their nature.
Response
f′(x) = 3x² − 12x + 9
3x² − 12x + 9 = 0 ⇒ 3(x − 1)(x − 3) = 0
x = 1 or x = 3
f(1) = 5, f(3) = 1
f″(x) = 6x − 12, f″(1) = −6 < 0 ∴ (1, 5) is a maximum
and (3, 1) is a minimum
General
Finds f′(x) and solves f′(x) = 0
1/1Finds both stationary points
1/1Determines the nature of each point with a test
1/2Paper 1
IB Mathematics: Analysis and Approaches · 8 submissions
| Student | Submitted | Grade | Status |
|---|---|---|---|
| Oliver Marsh | Mon 9:12am | 6/7 | Approved |
| Ethan Brooks | Mon 9:40am | 5/7 | Approved |
| Sam Wright | Mon 10:03am | 6/7 | Needs Review |
| Lena Kovac | Mon 11:20am | 4/7 | Approved |
| Zara Hassan | Mon 1:15pm | 6/7 | Approved |
| Grace Lin | Mon 2:48pm | 5/7 | Needs Review |
| Priya Sharma | Tue 8:30am | 7/7 | Approved |
| Noah Patel | Tue 9:05am | 5/7 | Approved |
An AI tutor for every student
A curriculum expert that coaches students through the working and never gives the answer.
Find the stationary points of f(x) = x³ − 6x² + 9x + 1 and determine their nature.
f′(x) = 3x² − 12x + 9. Stationary points are where the gradient is zero. I don't know how to find them from here.
Analytics
See where the class is strong and where it slips, down to each student.
Class Analytics
Strengths
- •Differentiation:Most students now differentiate products and chains accurately across the last three tasks.
- •Solving f′(x) = 0:Students find the x-values of stationary points reliably by factorising.
Areas to Improve
- •Setting out working:Correct answers often appear with steps missing, so method marks are lost.→Set a short task where every line of working must be justified.
- •The second-derivative test:Many students find the stationary points but don't test their nature.→Ask students to finish every stationary-point question with f″(x) and a conclusion.
- •Notation:Function notation and coordinates are written loosely in final answers.→Model a final line that states each point as a coordinate with its nature.
Fri 23 Oct · AI feedback · Grade shown to students
Activity Analytics
Overall
Strengths
- •Students differentiate the cubic correctly and set the derivative to zero.
Areas to Improve
- •Few responses justify the nature of each stationary point.→Add a nature-testing line to every stationary-point question this week.
Question 1 (out of 4)
Areas to Improve
- •Most of the class lost marks here by not testing the nature of the stationary points.→Have students redo the question with the second-derivative test written out.
Question 2 (out of 3)
Strengths
- •Accurate tangent equations, with the gradient found from the derivative.
| Name | Activities | Practice | |
|---|---|---|---|
| Ethan B. | ethan.b@riverside.edu.au | 6/6 | 3 |
| Grace L. | grace.l@riverside.edu.au | 6/6 | 7 |
| Lena K. | lena.k@riverside.edu.au | 5/6 | 2 |
| Noah P. | noah.p@riverside.edu.au | 6/6 | 5 |
| Oliver M. | oliver.m@riverside.edu.au | 4/6 | 1 |
| Priya S. | priya.s@riverside.edu.au | 6/6 | 4 |
| Sam W. | sam.w@riverside.edu.au | 5/6 | 0 |
| Zara H. | zara.h@riverside.edu.au | 6/6 | 6 |
lena.k@riverside.edu.au
Student Analysis
Strengths
- •Differentiation:Derivatives are accurate, including the chain rule.
Areas to Improve
- •Setting out working:Jumps from f′(x) to the answer, so method marks are lost.→Show the substitution step on every line.
- •Testing the nature:Names maxima and minima without testing them.→Finish each stationary point with f″(x) and a conclusion.
Subjects offered
- Mathematics: Analysis and Approaches
- Mathematics: Applications and Interpretation
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