Overview
This introductory course develops conceptual understanding and practical fluency with rational numbers. Topics include fractions as parts of wholes and sets, points on number lines, quotients, proper and improper fractions, mixed numbers, equivalent fractions, simplification, comparison, and operations involving fractions with like and unlike denominators.
Students apply decimal notation, place value, percentages, estimation, and rounding to contexts involving food, money, schedules, measurement, discounts, and sharing. Visual models, including fraction strips, area diagrams, and number lines, support the transition from concrete representations to symbolic methods. The course emphasizes selecting efficient calculation strategies, interpreting numerical information, solving multi-step problems, evaluating the reasonableness of results, and communicating the effects of numerical decisions in everyday contexts.
Learning Outcomes
- Represent rational numbers using visual, fractional, decimal, percentage, and number-line forms.
- Explain relationships among equivalent fractions, decimals, percentages, and quotients.
- Simplify, compare, add, subtract, multiply, and divide fractions using appropriate methods.
- Apply estimation and rounding strategies to assess the reasonableness of numerical results.
- Solve and interpret multi-step problems involving money, measurement, schedules, discounts, food, and sharing.
- Select efficient calculation methods and justify numerical decisions in practical contexts.
- Communicate mathematical reasoning using accurate notation, representations, and explanatory language.
Timetable
| Type | Length | Frequency | Period |
|---|---|---|---|
| Lecture | 2 hours | Weekly | All semester |
| Tutorial | 1 hour | Weekly | All semester |
| Workshop | 2 hours | Fortnightly | All semester |
Assessment Schedule
| Type | Description | Weighting |
|---|---|---|
| Quiz | Weekly practice quizzes (10 × 2%) | 20.00% |
| Assignment | Applied numeracy assignments (3 × 10%) | 30.00% |
| Test | Practical problem-solving test | 20.00% |
| Exam | Final examination | 30.00% |
Prerequisites
- Requirement 10 NCEA Level 2 Mathematics credits, externally assessed
Teaching Staff & Programs
This course is delivered jointly by faculty from the participating programs listed below. In line with the Douchewater Way, the University of Sexology tailors core instruction directly to each cohort's specific discipline — adapting curriculum to program needs rather than forcing students into a one-size-fits-all model. Learn more about our approach at The Douchewater Way.