British ColumbiaBC Grade 12 Geometry Curriculum
Video lessons and practice for every Grade 12 Geometry topic. Aligned to what BC schools teach, from circle proofs to non-Euclidean geometries.
BC Grade 12 Geometry Curriculum | StudyPugHelp
CC_ID | Content-Elaborations | StudyPug Topic |
|---|---|---|
BC.CE.GE12.1 | Geometric constructions: Constructing angles, triangles, triangle centers, quadrilaterals |
BC.CE.GE12.2 | Parallel and perpendicular lines: Using circles as tools for constructing equal segments, midpoints |
BC.CE.GE12.3 | Circle geometry: Exploring properties of chords, angles, and tangents to develop proofs |
BC.CE.GE12.5 | Transformations of 2D shapes: Exploring isometric transformations, tessellations, non-isometric transformations, topology |
BC.CE.GE12.6 | Non-Euclidean geometries: Investigating perspective, spherical, Taxicab, and hyperbolic geometries, exploring tessellations |
BC Grade 12 Geometry: What Students Learn
Geometry 12 in British Columbia takes students through six major areas of study. They begin with classical constructions — drawing precise angles, triangles, triangle centres, and quadrilaterals using geometric tools. From there they move into using circles as instruments for constructing equal segments and midpoints, building a foundation for the rigorous circle geometry proofs that follow.
Circle Geometry and Formal Proofs
A significant portion of Geometry 12 is dedicated to exploring the properties of chords, inscribed angles, and tangents in order to develop and write formal geometric proofs. Students then apply these skills to construct tangent lines to circles and circles tangent to other circles or objects. These proof-writing skills are directly transferable to post-secondary mathematics and physics.
Transformations and Tessellations
Students investigate isometric transformations — reflections, rotations, and translations — and examine how these produce tessellations. The course also introduces non-isometric transformations and provides a first look at topology, giving students a broader sense of how geometry extends beyond flat Euclidean space.
Non-Euclidean and Alternative Geometries
The final unit expands students' understanding by exploring perspective geometry, spherical geometry, Taxicab geometry, and hyperbolic geometry. Students compare how familiar rules — such as the behaviour of parallel lines or the sum of angles in a triangle — change in these alternative systems. Tessellations are revisited in these new geometric contexts.
- Constructing angles, triangles, triangle centres, and quadrilaterals
- Using circles for constructing equal segments and midpoints
- Chord, angle, and tangent properties for developing proofs
- Constructing tangent lines and tangent circles
- Isometric transformations, tessellations, and topology
- Perspective, spherical, Taxicab, and hyperbolic geometries
StudyPug covers every one of these Geometry 12 topics with video lessons and practice problems aligned to the BC math curriculum.