| Effective Term: | 2024/05 |
| Institute / School : | Institute of Education, Arts & Community |
| Unit Title: | Mathematics and Introductory Statistics |
| Unit ID: | FASTP1013 |
| Credit Points: | 15.00 |
| Prerequisite(s): | Nil |
| Co-requisite(s): | Nil |
| Exclusion(s): | Nil |
| ASCED: | 120103 |
| Other Change: | |
| Brief description of the Unit |
This unit is designed to develop confidence and positive attitudes towards mathematics through a thorough understanding of foundational concepts and skills. Students will be encouraged to communicate their mathematical ideas, developed from agreed upon basic principles. The key sections will be on development of skills in arithmetic, algebra and statistics. The focus will be on students understanding and ability to explain their reasoning, rather than purely on getting the correct answer. |
| Grade Scheme: | Graded (HD, D, C, P, MF, F, XF) |
| Work Experience Indicator: |
| Placement Component: No |
| Supplementary Assessment: |
| 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 |
| Course Level: |
| Level of Unit in Course | AQF Level(s) of Course | | 5 | 6 | 7 | 8 | 9 | 10 | | Introductory |  | | | | | | | Intermediate | | | | | | | | Advanced | | | | | | |
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| Learning Outcomes: |
| After successfully completing this unit students will be able to: |
| Knowledge: |
| K1. | conceptualise and explain the meaning of place value and the decimal system, factors and multiples, prime and composite numbers, and directed numbers |
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| K2. | conceptualise and explain the four basic operations of addition, subtraction, multiplication and division, exponential notation, number patterns and order of operations |
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| K3. | conceptualise and explain the connection between fractions, decimals, percentages, percentage change, GST, simple interest, and compound interest |
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| K4. | conceptualise and explain how to add, subtract, divide and multiply fractions by whole numbers and by other fractions |
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| K5. | conceptualise and explain the use of scientific notation and significant figures |
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| K6. | conceptualise and explain expressions that contain variables (pronumerals, or letters of the alphabet) together with numbers using like and unlike terms |
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| K7. | conceptualise and explain the meaning of equality as an intrinsic mathematical notion, allowing them to solve otherwise intractable problems (linear equations) |
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| K8. | conceptualise and explain units of length, area, volume, capacity and time, finding perimeter, area, volume, and capacity, Pythagoras' theorem |
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| K9. | conceptualise and explain angles and polygons |
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| K10. | identify, conceptualise, and explain probability of an event, union, and intersection |
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| K11. | identify, conceptualise, and explain the addition rule, independent events, and conditional probability |
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| K12. | conceptualise and explain two-way tables and tree diagrams |
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| K13. | identify, conceptualise, and explain the difference between numerical and categorical data |
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| K14. | organise data, display data, and explain shape |
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| K15. | conceptualise and explain summary statistics |
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| Skills: |
| S1. | use the four basic operations of addition, subtraction, multiplication and division, as well as exponential notation |
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| S2. | demonstrate financial numeracy and literacy |
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| S3. | competently work with fractions decimals and percentages |
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| S4. | work with expressions that contain variables (pronumerals, or letters of the alphabet) together with numbers |
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| S5. | use equality as an intrinsic mathematical notion to solve otherwise intractable problems |
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| S6. | demonstrate abilty to work with different shapes: measurement and geometry |
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| S7. | utilise prediction using probability |
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| S8. | present statistical data in useful ways |
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| Application of knowledge and skills: |
| A1. | add, subtract, divide and multiply fractions by whole numbers and by other fractions |
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| A2. | add, subtract, divide and multiply decimals and percentages |
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| A3. | solve problems involving fractions percentages and decimals |
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| A4. | use measurement and geometry to work with shapes |
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| A5. | use probability to predict occurance of events |
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| A6. | create and interpret data and graphs in order to come to logical and useful conclusions |
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| Unit Content: |
Number and Algebra: - factors and multiples - prime and composite numbers - directed numbers and index notation - decimals , fractions, and percentages - GST, simple interest, compound interest - scientific notation and significant figures - number patterns and order of operations - language of algebra - expanding brackets and solving linear equations.
Measurement and Geometry: - units of length, area, volume, capacity and time - finding perimeter, area, volume, and capacity - Pythagoras' theorem - angles and polygons.
Statistics and probability: - data presentation - measures of central tendency - measures of spread - probability of an event - union and intersection - addition rule, independent events, conditional probability - two way tables and tree diagrams. |
| Graduate Attributes: |
| Federation University recognises that students require key transferable employability skills to prepare them for their future workplace and society. FEDTASKS (Transferable Attributes Skills and Knowledge) provide a targeted focus on five key transferable Attributes, Skills, and Knowledge that are be embedded within curriculum, developed gradually towards successful measures and interlinked with cross-discipline and Co-operative Learning opportunities. One or more FEDTASK, transferable Attributes, Skills or Knowledge must be evident in the specified learning outcomes and assessment for each FedUni Unit, and all must be directly assessed in each Course.
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| FED TASK and descriptor | Development and acquisition of FEDTASKS in the Unit | Learning outcomes
(KSA) | Assessment task
(AT#) | FEDTASK 1
Interpersonal | Students will demonstrate the ability to effectively communicate, inter-act and work with others both individually and in groups. Students will be required to display skills in-person and/or online in: • Using effective verbal and non-verbal communication • Listening for meaning and influencing via active listening • Showing empathy for others • Negotiating and demonstrating conflict resolution skills • Working respectfully in cross-cultural and diverse teams. | Not applicable | Not applicable | FEDTASK 2
Leadership | Students will demonstrate the ability to apply professional skills and behaviours in leading others. Students will be required to display skills in: • Creating a collegial environment • Showing self -awareness and the ability to self-reflect • Inspiring and convincing others • Making informed decisions • Displaying initiative | Not applicable | Not applicable | FEDTASK 3
Critical Thinking and Creativity | Students will demonstrate an ability to work in complexity and ambiguity using the imagination to create new ideas. Students will be required to display skills in: • Reflecting critically • Evaluating ideas, concepts and information • Considering alternative perspectives to refine ideas • Challenging conventional thinking to clarify concepts • Forming creative solutions in problem solving. | K1 - K15; S1 - S8;
A1 - A6 | AT1, AT2, AT3 | FEDTASK 4
Digital Literacy | Students will demonstrate the ability to work fluently across a range of tools, platforms and applications to achieve a range of tasks. Students will be required to display skills in: • Finding, evaluating, managing, curating, organising and sharing digital information • Collating, managing, accessing and using digital data securely • Receiving and responding to messages in a range of digital media • Contributing actively to digital teams and working groups • Participating in and benefiting from digital learning opportunities. | K14 - K15, S8, A6 | AT3 | FEDTASK 5
Sustainable and Ethical Mindset | Students will demonstrate the ability to consider and assess the consequences and impact of ideas and actions in enacting ethical and sustainable decisions. Students will be required to display skills in: • Making informed judgments that consider the impact of devising solutions in global economic environmental and societal contexts • Committing to social responsibility as a professional and a citizen • Evaluating ethical, socially responsible and/or sustainable challenges and generating and articulating responses • Embracing lifelong, life-wide and life-deep learning to be open to diverse others • Implementing required actions to foster sustainability in their professional and personal life. | Not applicable | Not applicable |
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| | Learning Outcomes Assessed | Assessment Tasks | Assessment Type | Weighting | | 1. | K1 - K7; S1 - S5; A1 - A3
| Number and Algebra - Simple application tasks will be given as Moodle quizzes (one per week up to 10 weeks) | Moodle quizzes | 15-25% | | 2. | K8 - K9; S6; A4 | Measurement and Geometry: a) Application task (groups of 3 or 4) b) Problem solving task (individual) | Written Assignment | 30-50% | | 3. | K10 - K15; S7 - S8; A5 - A6 | Probability and Statistics Application task using Excel (individual task) | (a). Written assignment - 60% (b). 3 - 5 minutes interview via Teams in Week 13 (This will be recorded) - 40% | 30-50% |
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