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HE Unit Template
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Space, Shape & Design (Intermediate Level)
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MATHS2009 - Space, Shape & Design (Intermediate Level)
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20260200
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4.0
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2026-09-10
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2026-09-10
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Engineering
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Institute of Innovation, Science & Sustainability
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Engineering
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Undergraduate
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15
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.125
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010101
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Mathematics
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010101 - Mathematics
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<a href="http://www.federation.edu.au/locate/unit/maths2009">View unit fees</a>
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Graded (e.g. HD, D, C, etc)
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7
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Bachelor Degree
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1
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<p>This unit is aimed at a broad audience with experience in the use of symbols and mathematical language, who are interested in studying the patterns and order evident in nature and the spatial design of art, architecture and industry. It will provide students with some experience of the thinking and techniques necessary to establish evidence of general patterns and calculations related to spatial measurement and design. This unit will also include further experience of the formal use of mathematics to solve spatial problems. This unit will be particularly valuable to prospective teachers of mathematics at both primary and secondary level and to other students interested in developing a broad understanding of 2-D and 3-D shapes.</p>
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<p>Topics in this unit may include an introduction to the concepts of Euclidean and elementary non-Euclidean geometry. Throughout the unit, the ideas will be developed using practical applications and examples from nature, art, architecture and industry. Topics to be covered in this unit will be taken from the following: 2-D and 3-D shapes, geometric properties, tessellations, scale, perspective, symmetry, topology, graph theory, fractals, kaleidoscopes, Golden Mean, and principles of trigonometry.</p>
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<p>Where supplementary assessment is available a student must have failed overall in the Unit but gained a final mark of 45 per cent or above, has completed all major assessment tasks (including all sub-components where a task has multiple parts) as specified in the Unit Description and is not eligible for any other form of supplementary assessment.</p>
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2027
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2026
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MATHS2009 - Space, Shape & Design (Intermediate Level)
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MATHS2009 - Space, Shape & Design (Intermediate Level)
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Year
2027
2026
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Overview
Key information
Requisites
Learning outcomes
Assessment
FedTASK
Parent Region
Overview
Unit description
<p>This unit is aimed at a broad audience with experience in the use of symbols and mathematical language, who are interested in studying the patterns and order evident in nature and the spatial design of art, architecture and industry. It will provide students with some experience of the thinking and techniques necessary to establish evidence of general patterns and calculations related to spatial measurement and design. This unit will also include further experience of the formal use of mathematics to solve spatial problems. This unit will be particularly valuable to prospective teachers of mathematics at both primary and secondary level and to other students interested in developing a broad understanding of 2-D and 3-D shapes.</p>
Unit content
<p>Topics in this unit may include an introduction to the concepts of Euclidean and elementary non-Euclidean geometry. Throughout the unit, the ideas will be developed using practical applications and examples from nature, art, architecture and industry. Topics to be covered in this unit will be taken from the following: 2-D and 3-D shapes, geometric properties, tessellations, scale, perspective, symmetry, topology, graph theory, fractals, kaleidoscopes, Golden Mean, and principles of trigonometry.</p>
Key information
Institute / school:
Institute of Innovation, Science & Sustainability
Discipline:
Engineering
Study level:
Undergraduate
Credit points:
15
EFTSL:
0.125
Field of education:
010101 - Mathematics
Offering:
<p><strong>Semester 2</strong><p>Ballarat - Mt Helen (On Campus)</p><p>On-line Learning</p></p>
Grade scheme:
Graded (e.g. HD, D, C, etc)
Placement component:
No
Fee information:
<a href="http://www.federation.edu.au/locate/unit/maths2009">View unit fees</a>
Requisites
Prerequisite
<p>must have completed 2 of "MATHS%"</p>
Corequisite
None
Exclusion
<p>must not have completed "MATHS1009"</p>
Learning outcomes
Learning outcomes
<p>On successful completion of this unit, students are expected to gain the following [K]nowledge, [S]kills and [A]pplication of knowledge & skills</p>
Learning Outcomes
Ref
Outcome
K1
<p>investigate geometric properties of various 2D and 3D shapes;</p>
K2
<p>identify and analyse symmetries in geometric patterns and structures;</p>
K3
<p>compare and contrast Euclidean geometry with non-Euclidean geometries, including spherical and hyperbolic;</p>
K4
<p>investigate and describe planar tessellations and topological ideas;</p>
K5
<p>determine features of conic sections through their equations;</p>
S1
<p>investigate packing arrangements for circles, spheres, and other shapes in 2D and 3D; </p>
S2
<p>explore the basic principles of projective geometry and how it relates to perspective and infinity;</p>
S3
<p>construct simple mathematical proofs;</p>
S4
<p>use the proper language and symbols associated with the geometric concepts covered;</p>
S5
<p>use and appreciate current technology to investigate and explore geometrical patterns and associated properties;</p>
A1
<p>provide practical examples of the use of geometry in 2D and 3D constructions;</p>
A2
<p>solve real world problems through geometric modelling;</p>
A3
<p>illustrate the mathematical properties associated with aspects of space, shape and design;</p>
Assessment
Learning Tasks and Assessment
Ref
Learning task
Assessment type
Weighting
Learning outcomes assessed
1
<p>A range of tasks and problems are explored to support the understanding of the content and the development of skills and knowledge throughout the unit</p>
<p>Portfolio of completed work</p>
<p>10 - 30%</p>
K1, K2, K3, K4, K5, S1, S2, S3, S4
2
<p>Self-directed or group exploration of geometric concepts and ideas </p>
<p>Project/Presentation/Assignment</p>
<p>20 - 40%</p>
K1, S4, S5, A1, A2, A3
3
<p>Software based investigation and analysis of geometric concepts and ideas</p>
<p>Software based investigation</p>
<p>10 - 20%</p>
K1, S4, S5
4
<p>A test on any part of or all the material covered in the unit</p>
<p>Test(s) / Examination(s)</p>
<p>30 - 50%</p>
K1, K2, K3, K4, K5, S1, S2, S3, S4, S5
Supplementary assessment available:
Yes
Supplementary assessment information:
<p>Where supplementary assessment is available a student must have failed overall in the Unit but gained a final mark of 45 per cent or above, has completed all major assessment tasks (including all sub-components where a task has multiple parts) as specified in the Unit Description and is not eligible for any other form of supplementary assessment.</p>
FedTASK
FedTASK
Description of FedTASK outcome
Level
FedTASK 1: Interpersonal
The ability to effectively communicate, interact and work with others both individually and in groups.
<p>Level 2 - Student demonstrates some independence within provided guidelines</p>
FedTASK 2: Leadership
The ability to apply professional skills and behaviours in leading others.
FedTASK 3: Critical Thinking and Creativity
The ability to work in complexity and ambiguity using imagination to create new ideas.
<p>Level 2 - Student demonstrates some independence within provided guidelines</p>
FedTASK 4: Digital Literacy
The ability to work fluently across a range of tools and applications to achieve a range of skills.
<p>Level 1 - Students require directions and boundaries from mentor</p>
FedTASK 5: Sustainable and Ethical Mindset
The ability to consider and assess the consequences and impact of ideas and actions in enacting ethical and sustainable decisions.
FedTASK
<p>Federation University recognises that students require key transferable employability skills to prepare them for their future workplace and society. FedTASKs (<strong>T</strong>ransferable <strong>A</strong>ttributes <strong>S</strong>kills and <strong>K</strong>nowledge) provide a targeted focus on five key, transferable Attributes, Skills, and Knowledge that are embedded within curriculum, developed gradually towards successful measures and interlinked with cross-discipline and co-operative learning opportunities.</p>
Key information
Institute / school:
Institute of Innovation, Science & Sustainability
Discipline:
Engineering
Study level:
Undergraduate
Credit points:
15
EFTSL:
0.125
Field of education:
010101 - Mathematics
Offering:
<p><strong>Semester 2</strong><p>Ballarat - Mt Helen (On Campus)</p><p>On-line Learning</p></p>
Grade scheme:
Graded (e.g. HD, D, C, etc)
Placement component:
No
Fee information:
<a href="http://www.federation.edu.au/locate/unit/maths2009">View unit fees</a>
Additional information
Add Info Static Text
Internal reference: MATHS2009 - U4.0