Overview
This course develops foundational understanding of fractions, two- and three-dimensional shapes, geometry, and measurement through visual, practical, and problem-based learning. Students represent equal parts, unit fractions, proper and improper fractions, equivalent fractions, and fractions on number lines; compare fractions with like and unlike denominators using models; and connect fractions with whole-number quantities.
Students identify and classify polygons, triangles, quadrilaterals, circles, and solid figures according to attributes including symmetry, vertices, edges, and faces. Basic angle recognition and geometric composition are introduced through manipulatives and diagrams. Measurement study covers the selection and use of appropriate units and tools, estimation and accurate measurement of length, mass, capacity, time, and temperature, and suitable conversions within familiar unit systems.
Students apply perimeter and area concepts to simple shapes, interpret measurement data, and communicate solutions using diagrams, labels, mathematical language, and clear justification. Learning activities include folding and partitioning shapes, fraction strips, geoboards, tangrams, classroom measurement investigations, and real-world design tasks.
Learning Outcomes
- Represent fractions using models, diagrams, symbols, and number lines.
- Explain and justify equivalence among fractions using visual models and numerical reasoning.
- Compare and order fractions with like and unlike denominators in accessible problem contexts.
- Classify common polygons, triangles, quadrilaterals, circles, and solid figures according to their defining attributes.
- Identify vertices, edges, faces, lines of symmetry, and basic angles in two- and three-dimensional figures.
- Select appropriate measurement units and instruments for length, mass, capacity, time, and temperature.
- Estimate and measure quantities accurately, recording results with suitable units and precision.
- Convert measurements within familiar unit systems and interpret measurement data in practical contexts.
- Calculate perimeter and area for simple shapes and apply these concepts to design and problem-solving tasks.
- Justify mathematical solutions using diagrams, labels, measurements, and precise mathematical language.
Timetable
| Type | Length | Frequency | Period |
|---|---|---|---|
| Lecture | 2 hours | Weekly | All semester |
| Lab | 2 hours | Weekly | All semester |
| Tutorial | 1 hour | Fortnightly | All semester |
Assessment Schedule
| Type | Description | Weighting |
|---|---|---|
| Assignment | Fraction and geometry problem set | 15.00% |
| Deliverable | Measurement investigation report | 15.00% |
| Test | Practical measurement test | 20.00% |
| Capstone | Applied design project | 20.00% |
| Exam | Midsemester examination | 15.00% |
| Exam | Final examination | 15.00% |
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.
