| Effective Term: | 2026/05 |
| 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 (1). number and algebra, (2). measurement and geometry, and (3). probability 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: |
| No work experience |
| Placement Component: | |
| Supplementary Assessment:Yes |
| 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: |
| Knowledge: |
| K1. | Develop fluency with number systems, operations, fractions, percentages, and algebraic expressions; solve equations and apply financial mathematics concepts. |
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| K2. | Apply units of measurement to calculate length, area, volume, and capacity; apply Pythagoras’ theorem and trigonometry; and explore geometric properties of shapes, angles. |
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| K3. | Interpret and analyse data using summary statistics and visual displays; calculate probabilities of events using rules, tables, and diagrams. |
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| Skills: |
| S1. | Use the four operations and exponential notation; work fluently with fractions, decimals, percentages, and algebraic expressions; apply the concept of equality to solve equations and demonstrate financial numeracy. |
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| S2. | Apply measurement skills to work with shapes, including calculating length, area, volume, and understanding geometric properties. |
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| S3. | Make predictions using probability concepts and present statistical data clearly and effectively. |
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| Application of knowledge and skills: |
| A1. | Solve problems using the four operations with fractions, decimals, and percentages; apply algebraic reasoning with variables and equality to model and solve equations. |
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| A2. | Use measurement and geometric reasoning to work with shapes, calculate dimensions, and solve spatial problems. |
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| A3. | Predict outcomes using probability and interpret data through graphs and statistical analysis to draw logical 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: |
| | Learning Outcomes Assessed | Assessment Tasks | Assessment Type | Weighting | | 1. | K1, S1, A1 | Number and Algebra - Two Moodle quizzes | Moodle quizzes | 20-40% | | 2. | K2, S2, A2 | Measurement and Geometry: Application task (individual)
| Invigilated Written task
| 20-40% | | 3. | K2, K3, S2, S3, A2, A3 | Probability and Statistics: a). Application task using Excel (individual task) b). 3 - 5 minutes interview face to face or via Teams (This will be recorded) | a). Written assignment b). Interview | 30-50% |
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