Cannon Hill Anglican College (Cannon Hill)
General Mathematics
IA1
Student name
Student number
Teacher
Issued
13/10/2023
Due date
10/11/2023
Marking summary
Criterion
Marks allocated
Formulate
4
Solve
7
Evaluate and verify
5
Communicate
4
Overall
20
General Mathematics — IA1
2023 - 2024
Provisional marks
Page 1
Conditions
Technique
Problem-solving and modelling task
Unit
Unit 3: Bivariate data, sequences and change, and Earth
geometry
Topic/s
Topic 1: Bivariate data analysis
Duration
4 weeks (including 3 hours of class time)
Mode / length
Written: Up to 10 pages (including tables, figures and
diagrams) and a maximum of 2000 words
Individual / group
A unique response must be developed by each student
Other
Use of technology is required and must go beyond simple
computation or word processing
Resources
The use of technology is required:
Computer/internet
Spreadsheet program
Calculator
General Mathematics — IA1
2023 - 2024
Page 2
Context
Modern Olympic Games have taken place for over 100 years. Since 1912, data relating
to the 100-metre freestyle swimming event has indicated a trend of decreasing times.
The Men’s Olympic 100-metre freestyle swimming time in 1912 was 63.4 seconds. One
hundred years later, in 2012 it was 47.52 seconds. Your task is to investigate the
change in Men’s Olympic 100-metre freestyle swimming times and determine what the
time will be in 2112.
Task
Your task is to investigate the correlation in Men’s Olympic 100-metre freestyle
swimming times from 1912 to 2012. Using the individualised data provided develop a
mathematical model to predict what the swimming time will be in 2112.
To complete this task you must:
●
use your knowledge of analysing bivariate data and your unique data set.
●
respond with a range of understanding and skills, such as using mathematical
language, appropriate calculations, tables of data, graphs and diagrams as
appropriate.
●
provide a response to the context that highlights the real-life application of
mathematics.
●
develop a unique response in a written report format that can be read and
interpreted independently of the instrument task sheet.
●
use the attached problem-solving and mathematical modelling approach to
develop your response.
Stimulus
Men’s Gold-Medal Winning Olympic 100-metre Freestyle swimming times:
As supplied by your teacher.
General Mathematics — IA1
2023 - 2024
Page 3
Checkpoints
End of week 1: submit a plan for developing solution and initial stages of
solution.
During week 2: initial model should be complete and submitted.
Start of week 3: full draft submitted for feedback.
End of week 4: submit final report to Turn-It-In for a plagiarism check by 8:
00am. Final report to be submitted to your teacher by 8.40am.
Authentication strategies
●
Your teacher will monitor your progress during the provided class time.
●
Your teacher will collect copies of your response and monitor at key junctures.
●
Your teacher will collect and annotate a draft.
●
You must acknowledge all sources.
●
Your teacher will ensure class cross-marking occurs.
●
You must submit a declaration of authenticity
Student Declaration
I declare that the contents of this report are my own work. To verify this, I am willing to
discuss and explain my work at any time, at the discretion of the Head of Faculty.
Signed: ____________________________________
Date: ______________
Scaffolding
The attached approach to problem-solving and mathematical modelling must be
used.
General Mathematics — IA1
2023 - 2024
Page 4
Instrument-specific marking guide (IA1): Problem-solving and modelling task (20%)
Criterion: Formulate
Assessment objectives
1.
select , recall and use facts, rules, definitions and procedures drawn from Unit 3 Topics 1, 2 and/or 3
2.
comprehend mathematical concepts and techniques drawn from Unit 3 Topics 1, 2 and/or 3
5.
justify procedures and decisions by explaining mathematical reasoning
The student work has the following characteristics:
Marks
•
•
•
documentation of appropriate assumptions
accurate documentation of relevant observations
accurate translation of all aspects of the problem by identifying mathematical concepts and techniques.
3–4
•
•
•
statement of some assumptions
statement of some observations
translation of simple aspects of the problem by identifying mathematical concepts and techniques.
1–2
•
does not satisfy any of the descriptors above.
0
Criterion: Solve
Assessment objectives
1.
select , recall and use facts, rules, definitions and procedures drawn from Unit 3 Topics 1, 2 and/or 3
6.
solve problems by applying mathematical concepts and techniques drawn from Unit 3 Topics 1, 2 and/or 3.
The student work has the following characteristics:
Marks
•
•
•
accurate use of complex procedures to reach a valid solution
discerning application of mathematical concepts and techniques relevant to the task
accurate and appropriate use of technology.
6–7
•
•
•
use of complex procedures to reach a reasonable solution
application of mathematical concepts and techniques relevant to the task
use of technology.
4–5
•
•
•
use of simple procedures to make some progress towards a solution
simplistic application of mathematical concepts and techniques relevant to the task
superficial use of technology.
2–3
•
inappropriate use of technology or procedures.
1
•
does not satisfy any of the descriptors above.
0
Criterion: Evaluate and verify
Assessment objectives
4.
evaluate the reasonableness of solutions
5.
justify procedures and decisions by explaining mathematical reasoning
General Mathematics 2019
General Senior Syllabus
1
Queensland Curriculum & Assessment Authority
ISMG v1.2 July 2018
The student work has the following characteristics:
Marks
evaluation of the reasonableness of solutions by considering the results, assumptions and
observations
• documentation of relevant strengths and limitations of the solution and/or model
• justification of decisions made using mathematical reasoning.
4–5
•
•
•
statements about the reasonableness of solutions by considering the context of the task
statements about relevant strengths and limitations of the solution and/or model
statements about decisions made relevant to the context of the task.
2–3
•
statement about a decision and/or the reasonableness of a solution.
1
•
does not satisfy any of the descriptors above.
0
•
Criterion: Communicate
Assessment objectives
3.
communicate using mathematical, statistical and everyday language and conventions
The student work has the following characteristics:
Marks
correct use of appropriate technical vocabulary , procedural vocabulary and conventions to develop
the response
• coherent and concise organisation of the response, appropriate to the genre, including a suitable
introduction, body and conclusion, which can be read independently of the task sheet.
•
•
•
use of some appropriate language and conventions to develop the response
adequate organisation of the response.
•
does not satisfy any of the descriptors above.
General Mathematics 2019
General Senior Syllabus
3–4
1–2
0
2
Queensland Curriculum & Assessment Authority
ISMG v1.2 July 2018