Overview
This course develops conceptual and procedural fluency in multiplication and division. Students examine equal groups, repeated addition, arrays, skip-counting, fact families, operation properties, times-table patterns, and reasoning-based strategies for deriving and recalling facts.
The course addresses sharing and grouping interpretations of division, quotients and remainders, inverse operations, divisibility patterns, and the relationship between multiplication and division. Students extend their work to multi-digit computation using place-value reasoning, partial products, area models, partial quotients, standard algorithms, estimation, and verification.
Applications include money, rates, quantities, measurement, schedules, and fair sharing. Emphasis is placed on selecting efficient methods, communicating mathematical reasoning, analyzing errors, interpreting results in context, and connecting representations, equations, and computation.
Learning Outcomes
- Recall and derive multiplication and division facts using operation properties, fact families, patterns, and inverse relationships.
- Represent multiplication and division situations with equal-group models, arrays, number lines, area models, equations, and related notation.
- Solve multi-digit multiplication and division problems accurately using multiple strategies, including partial products, partial quotients, and standard algorithms.
- Interpret quotients and remainders appropriately in contexts involving quantities, measurement, schedules, rates, money, and fair sharing.
- Estimate products and quotients using place-value reasoning and compatible numbers.
- Analyze errors in multiplication and division procedures and explain the mathematical source of each error.
- Evaluate the efficiency and appropriateness of alternative computation strategies for specified problems.
- Synthesize computational methods and contextual reasoning to solve and communicate solutions to multi-step word problems.
- Justify why a selected multiplication or division method works using models, properties, equations, and place-value principles.
Timetable
| Type | Length | Frequency | Period |
|---|---|---|---|
| Lecture | 2 hours | Weekly | All semester |
| Tutorial | 2 hours | Weekly | All semester |
| Workshop | 2 hours | Fortnightly | All semester |
Assessment Schedule
| Type | Description | Weighting |
|---|---|---|
| Quiz | Multiplication and division fact fluency checks (4 × 5%) | 20.00% |
| Assignment | Strategy explanations and mathematical representations (2 × 10%) | 20.00% |
| Test | Computation and estimation practical test | 20.00% |
| Assignment | Error analysis and misconception report | 15.00% |
| Deliverable | Multi-step applied problem-solving portfolio | 15.00% |
| Exam | Cumulative examination | 10.00% |
Prerequisites
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.
