IB Math AI Unit 3 Slidedeck Bundle - All Sections Included!
IB Maths Applications and Interpretation (AI) Topic 3 Geometry slide deck bundle: 16 presentations for IB Diploma SL and HL, covering the listed sections from 3.1 to 3.16. Search for IB Maths AI geometry lessons, trigonometry, vectors, graph theory and exam revision in one coordinated teaching resource.
The bundle brings together classroom slides with clear explanations, diagrams, worked examples and exam-style practice. Use the presentations to introduce concepts, model methods, support discussion, plan a sequence of lessons or help students revise the geometry and trigonometry content.
**Every included section and subtopic**
**SL 3.1 – Introduction to 3D Geometry:** distance and midpoint between points in 3D; surface area and volume of pyramids, cones, spheres, hemispheres and combined solids; angles between intersecting lines and between a line and a plane.
**SL 3.2 – Triangle Rules:** SOHCAHTOA; sine, cosine and tangent ratios; the sine rule and cosine rule; finding unknown sides, angles and triangle areas with trigonometry.
**SL 3.3 – Applications of Right and Non-Right Angled Trigonometry:** solving 2D and 3D triangle problems; sine rule, cosine rule and triangle area; angles of elevation and depression; compass bearings; drawing and interpreting labelled diagrams in real-world contexts.
**SL 3.4 – The Circle:** central angles, arc length and sector area; applying circle formulae and interpreting circle measurements in context.
**SL 3.5 – Equations of Perpendicular Bisectors:** midpoints and gradients; negative reciprocal gradients; equations in point–slope form; loci and boundaries of points equidistant from two locations.
**SL 3.6 – Voronoi Diagrams:** sites, cells, edges and vertices; constructing and completing Voronoi diagrams with perpendicular bisectors; nearest-site and nearest-facility regions; nearest-neighbour interpolation; distance, risk and resource-allocation optimisation.
**SL 3.7 – Conversions between Degrees and Radians:** converting angles between degrees and radians and recognising the relationship between angle measure and circle geometry.
**SL 3.8 – Trigonometric Identities:** sine and cosine on the unit circle; deriving and applying the Pythagorean identity and double-angle identities; the ambiguous case of the sine rule; solving trigonometric equations graphically over a finite interval.
**AHL 3.9 – Geometric Transformations:** matrix representations of points and vectors; stretches, enlargements, rotations, reflections and translations; composite transformations and order of multiplication; determinants, area scale and orientation.
**AHL 3.10 – Vectors and Scalars:** magnitude and direction; geometric, component and base-vector notation; distinguishing vectors and scalars; zero and negative vectors; magnitudes, normalising and rescaling vectors; unit vectors and applications to displacement and velocity.
**AHL 3.11 – Vector Equations of a Line in Two and Three Dimensions:** position and direction vectors; vector and parametric forms of line equations; forming equations from points and direction vectors; testing whether points lie on a line.
**AHL 3.12 – Applications of Vectors:** constant-velocity motion in two and three dimensions; position and velocity vectors; speed, distance and relative motion; parametric paths and projectile motion; an introduction to variable velocity and its link to calculus.
**AHL 3.13 – Vector Properties:** vector addition, subtraction and scalar multiplication; commutative, associative, identity and inverse properties; parallel vectors and unit vectors; scalar (dot) product, angles and perpendicularity; vector (cross) product and area; resolving components parallel and perpendicular to a direction.
**AHL 3.14 – Graph Theory:** vertices, edges, adjacency and degree; simple, complete, weighted and directed graphs; in-degree and out-degree; subgraphs; connected and disconnected networks; trees, cycles, paths and maximum edge counts; modelling real-world networks.
**AHL 3.15 – Adjacency Matrices:** representing directed and undirected networks with matrices; matrix powers and counting walks of a given length; interpreting entries of A^k; weighted adjacency tables and network costs; introductory transition matrices and state changes.
**AHL 3.16 – Tree and Cycle Algorithms:** walks, trails, paths, circuits and cycles; Eulerian and Hamiltonian routes; minimum spanning trees with Kruskal’s and Prim’s algorithms; the Chinese Postman Problem; exact Travelling Salesman searches; nearest-neighbour upper bounds and deleted-vertex lower bounds.
Use this IB Maths AI SL and HL slide bundle for classroom teaching, lesson planning, homework support and student revision across Topic 3 Geometry and Trigonometry.
