Overview
In this unit, you will learn and apply the concepts and properties of points, lines, angles, planes and polygons to solve geometry problems. You will determine the area, perimeter and properties of standard and composite shapes. Calculations of the surface area and volumes of polyhedra and composite solids are also studied. The application of geometry principles and concepts will allow you to develop solutions to applied mathematics problems. You will also analyse and synthesise geometry techniques, principles and concepts into a cohesive, valid and logically communicated solution using correct geometry terminology and notation, and mathematical language.
Details
Pre-requisites or Co-requisites
Prerequisite: MATH11248 Algebra 1.
Important note: Students enrolled in a subsequent unit who failed their pre-requisite unit, should drop the subsequent unit before the census date or within 10 working days of Fail grade notification. Students who do not drop the unit in this timeframe cannot later drop the unit without academic and financial liability. See details in the Assessment Policy and Procedure (Higher Education Coursework).
Offerings For Term 2 - 2026
Attendance Requirements
All on-campus students are expected to attend scheduled classes - in some units, these classes are identified as a mandatory (pass/fail) component and attendance is compulsory. International students, on a student visa, must maintain a full time study load and meet both attendance and academic progress requirements in each study period (satisfactory attendance for International students is defined as maintaining at least an 80% attendance record).
Recommended Student Time Commitment
Each 6-credit Undergraduate unit at CQUniversity requires an overall time commitment of an average of 12.5 hours of study per week, making a total of 150 hours for the unit.
Class Timetable
Assessment Overview
Assessment Grading
This is a graded unit: your overall grade will be calculated from the marks or grades for each assessment task, based on the relative weightings shown in the table above. You must obtain an overall mark for the unit of at least 50%, or an overall grade of 'pass' in order to pass the unit. If any 'pass/fail' tasks are shown in the table above they must also be completed successfully ('pass' grade). You must also meet any minimum mark requirements specified for a particular assessment task, as detailed in the 'assessment task' section (note that in some instances, the minimum mark for a task may be greater than 50%). Consult the University's Grades and Results Policy for more details of interim results and final grades.
All University policies are available on the CQUniversity Policy site.
You may wish to view these policies:
- Grades and Results Policy
- Assessment Policy and Procedure (Higher Education Coursework)
- Review of Grade Procedure
- Student Academic Integrity Policy and Procedure
- Monitoring Academic Progress (MAP) Policy and Procedure - Domestic Students
- Monitoring Academic Progress (MAP) Policy and Procedure - International Students
- Student Refund and Credit Balance Policy and Procedure
- Student Feedback - Compliments and Complaints Policy and Procedure
- Information and Communications Technology Acceptable Use Policy and Procedure
This list is not an exhaustive list of all University policies. The full list of University policies are available on the CQUniversity Policy site.
- Apply the concepts and properties of points, lines, angles, planes and polygons to solve geometry problems
- Determine the area, perimeter and properties of standard and composite shapes
- Calculate the surface area and volumes of polyhedra and composite solids
- Apply geometric principles and concepts to generate solutions to geometry problems
- Analyse and synthesise geometry techniques, principles and concepts into a cohesive, valid and logically communicated solution using correct geometry terminology and notation, and mathematical language.
Alignment of Assessment Tasks to Learning Outcomes
| Assessment Tasks | Learning Outcomes | ||||
|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |
| 1 - Online Quiz(zes) - 20% | |||||
| 2 - Portfolio - 30% | |||||
| 3 - Examination - 50% | |||||
Alignment of Graduate Attributes to Learning Outcomes
| Graduate Attributes | Learning Outcomes | ||||
|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |
| 1 - Communication | |||||
| 2 - Problem Solving | |||||
| 3 - Critical Thinking | |||||
| 4 - Information Literacy | |||||
| 5 - Team Work | |||||
| 6 - Information Technology Competence | |||||
| 7 - Cross Cultural Competence | |||||
| 8 - Ethical practice | |||||
| 9 - Social Innovation | |||||
| 10 - First Nations Knowledges | |||||
| 11 - Aboriginal and Torres Strait Islander Cultures | |||||
Textbooks
Elementary Geometry for College Students
- Edition: 7th (2019)
- Authors: Daniel C. Alexander, Geralyn M. Koeberlein
- Cengage Learning
- Boston Boston , MA , USA
- ISBN: ISBN-10: 1337614084 ISBN-13: 9781337614085
Additional Textbook Information
Instead of purchasing a physical copy of the prescribed textbook students may wish to instead purchase the eTextbook (electronic) version: Elementary and Intermediate Algebra with ISBN-10: 8214000610 or ISBN-13: 9798214000619 from the publisher Cengage Learning. Visit https://au.cengage.com/c/isbn/9781337614085/ for more details.
Please note: Students electing to purchase the eTextbook version will need to print a physical copy of any parts of the textbook that they wish to take into the final open book examination.
IT Resources
- CQUniversity Student Email
- Internet
- Unit Website (Moodle)
- Access to a document scanner and/or pdf converter (all assessment submitted electronically as pdf file)
- Access to a printer (for printing assessment and tutorial materials)
- Access to a webcam, speakers and microphone or a headset (for participating in Zoom lectures and tutorials)
All submissions for this unit must use the referencing style: Harvard (author-date)
For further information, see the Assessment Tasks.
r.dodd@cqu.edu.au
Week 1
Begin Date: 13 Jul 2026Module/Topic
Textbook Sections P.1 to P.3
Chapter
Chapter P: Preliminary Concepts
Events and Submissions/Topic
Textbook: Odd problems from Exercises P.1 to P.3, and Week 1 Workshop Exercises
Week 2
Begin Date: 20 Jul 2026Module/Topic
Textbook Sections 1.1 to 1.5
Chapter
Chapter 1: Line and Angle Relationships
Events and Submissions/Topic
Textbook: Odd problems from Exercises 1.1 to 1.5, and Week 2 Workshop Exercises
Week 3
Begin Date: 27 Jul 2026Module/Topic
Textbook Sections 2.1 to 2.5
Chapter
Chapter 2: Parallel Lines
Events and Submissions/Topic
Textbook: Odd problems from Exercises 2.1 to 2.5, and Week 3 Workshop Exercises
Week 4
Begin Date: 03 Aug 2026Module/Topic
Textbook Sections 3.1 to 3.3
Chapter
Chapter 3: Triangles
Events and Submissions/Topic
Textbook: Odd problems from Exercises 3.1 to 3.3, and Week 4 Workshop Exercises
Week 5
Begin Date: 10 Aug 2026Module/Topic
Textbook Sections 4.1 to 4.4
Chapter
Chapter 4: Quadrilaterals
Events and Submissions/Topic
Textbook: Odd problems from Exercises 4.1 to 4.4, and Week 5 Workshop Exercises
Week 6
Begin Date: 17 Aug 2026Module/Topic
Textbook Sections 5.1 to 5.5
Chapter
Chapter 5: Similar Triangles
Events and Submissions/Topic
Textbook: Odd problems from Exercises 5.1 to 5.5, and Week 6 Workshop Exercises
Vacation Week
Begin Date: 24 Aug 2026Module/Topic
Chapter
Events and Submissions/Topic
Week 7
Begin Date: 31 Aug 2026Module/Topic
Textbook Sections 6.1 to 6.3
Chapter
Chapter 6: Circles
Events and Submissions/Topic
Textbook: Odd problems from Exercises 6.1 to 6.3, and Week 7 Workshop Exercises
Week 8
Begin Date: 07 Sep 2026Module/Topic
Textbook Sections 7.1 to 7.3
Chapter
Chapter 7: Locus and Concurrence
Events and Submissions/Topic
Textbook: Odd problems from Exercises 7.1 to 7.3, and Week 8 Workshop Exercises
Week 9
Begin Date: 14 Sep 2026Module/Topic
Textbook Sections 8.1 to 8.4
Chapter
Chapter 8: Areas of Polygons and Circles
Events and Submissions/Topic
Textbook: Odd problems from Exercises 8.1 to 8.4, and Week 9 Workshop Exercises
Week 10
Begin Date: 21 Sep 2026Module/Topic
Textbook Sections 9.1 to 9.4
Chapter
Chapter 9: Surfaces and Solids
Events and Submissions/Topic
Textbook: Odd problems from Exercises 9.1 to 9.4, and Week 10 Workshop Exercises
Week 11
Begin Date: 28 Sep 2026Module/Topic
Textbook Sections 11.1 to 11.4
Chapter
Chapter 11: Introduction to Trigonometry
Events and Submissions/Topic
Textbook: Odd problems from Exercises 11.1 to 11.4, and Week 11 Workshop Exercises
Geometry Proof and Reasoning Portfolio Due: Week 11 Wednesday (30 Sept 2026) 5:00 pm AEST
Week 12
Begin Date: 05 Oct 2026Module/Topic
Examination preparation and review
Chapter
Events and Submissions/Topic
Exam Week
Begin Date: 12 Oct 2026Module/Topic
Chapter
Events and Submissions/Topic
Vacation/Exam Week
Begin Date: 19 Oct 2026Module/Topic
Chapter
Events and Submissions/Topic
1 Online Quiz(zes)
There are ten weekly quizzes, and each quiz is worth 2%. These quizzes are available on the MATH12227 Moodle site, along with their due dates. The purpose of these quizzes is to monitor your progress throughout the term, allowing you to identify any concepts that require further review. The quizzes also provide a basis for communication between you and your Lecturer/Unit Coordinator.
Below is the guideline for AI (Artificial Intelligence) usage.
AI ASSESSMENT SCALE - AI COLLABORATION
You are encouraged to use computer software, or similar, or online AI tools to verify and validate any aspects of your solutions to the posed assessment problems.
This assessment is exempt from the 72-hour submission grace period and must be completed by the stated submission date/time.
10
Weekly
Each quiz will be due by Wednesday 5:00PM AEST in the week following the associated prescribed course work. Due dates will be as advised on the MATH12227 Moodle site.
Results will be available to students two weeks after the submission date. Consequently extension requests greater than 14 days will be denied except under exceptional circumstances.
No Assessment Criteria
- Apply the concepts and properties of points, lines, angles, planes and polygons to solve geometry problems
- Determine the area, perimeter and properties of standard and composite shapes
- Calculate the surface area and volumes of polyhedra and composite solids
2 Portfolio
Throughout the term, you will develop a Geometry Proof and Reasoning Portfolio that demonstrates your understanding of geometric reasoning, proof, and mathematical communication.
You are required to select and document significant geometric results from topics studied in the unit. Results may include theorems, propositions, constructions, geometric relationships, concurrence results, area relationships, or other substantial geometric arguments covered during the unit.
Below is the guideline for AI (Artificial Intelligence) usage.
AI ASSESSMENT SCALE - AI COLLABORATION
You are encouraged to use computer software, or similar, or online AI tools to verify and validate any aspects of your solutions to the assignment problems.
Week 11 Wednesday (30 Sept 2026) 5:00 pm AEST
It is envisaged that feedback will be available within two weeks, or as soon as the marking process is completed.
Full details are available in the assignment specification on the MATH12227 Moodle website.
For each portfolio entry, you must:
1. State the result clearly.
2. Identify relevant definitions, assumptions, and previously established results.
3. Present a complete justification or proof in your own words.
4. Explain the key ideas and reasoning used in the argument.
5. Reflect briefly on the significance of the result, connections to other concepts, alternative approaches, or insights gained.
6. Use appropriate mathematical notation, diagrams, and geometric terminology throughout the portfolio.
The portfolio should demonstrate not only the correctness of the arguments presented but also your understanding of how geometric knowledge is developed through logical deduction and proof.
- Apply geometric principles and concepts to generate solutions to geometry problems
- Analyse and synthesise geometry techniques, principles and concepts into a cohesive, valid and logically communicated solution using correct geometry terminology and notation, and mathematical language.
Examination
Calculator - all non-communicable calculators, including scientific, programmable and graphics calculators are authorised
As a CQUniversity student you are expected to act honestly in all aspects of your academic work.
Any assessable work undertaken or submitted for review or assessment must be your own work. Assessable work is any type of work you do to meet the assessment requirements in the unit, including draft work submitted for review and feedback and final work to be assessed.
When you use the ideas, words or data of others in your assessment, you must thoroughly and clearly acknowledge the source of this information by using the correct referencing style for your unit. Using others’ work without proper acknowledgement may be considered a form of intellectual dishonesty.
Participating honestly, respectfully, responsibly, and fairly in your university study ensures the CQUniversity qualification you earn will be valued as a true indication of your individual academic achievement and will continue to receive the respect and recognition it deserves.
As a student, you are responsible for reading and following CQUniversity’s policies, including the Student Academic Integrity Policy and Procedure. This policy sets out CQUniversity’s expectations of you to act with integrity, examples of academic integrity breaches to avoid, the processes used to address alleged breaches of academic integrity, and potential penalties.
What is a breach of academic integrity?
A breach of academic integrity includes but is not limited to plagiarism, self-plagiarism, collusion, cheating, contract cheating, and academic misconduct. The Student Academic Integrity Policy and Procedure defines what these terms mean and gives examples.
Why is academic integrity important?
A breach of academic integrity may result in one or more penalties, including suspension or even expulsion from the University. It can also have negative implications for student visas and future enrolment at CQUniversity or elsewhere. Students who engage in contract cheating also risk being blackmailed by contract cheating services.
Where can I get assistance?
For academic advice and guidance, the Academic Learning Centre (ALC) can support you in becoming confident in completing assessments with integrity and of high standard.
What can you do to act with integrity?
