Wednesday · 15:10 · Aarnivalkean koulu

Aarnivalkea School, grades 4–5

Olympiad mathematics for grades 4–5: invariants, graphs, constrained combinatorics and geometry through origami. Children learn to build proofs, find counterexamples and reason like real mathematicians. Taught in Russian, Finnish and English.

Missed lessons can be made up with another group

• Start: solver's toolkitDiagram, table, enumeration.
• Logic detective PRO4×4 and 5×5 tables.
• Propositions and logic trapsIf…, then…
• Invariants and impossibilitiesWhat does not change.
• Systematic enumerationDon't miss any variants.
• Variant treesMultiplication rule.
• Combinatorics with constraintsNo repeats, not adjacent.
• Routes on a gridObstacles and detours.
• Permutations and combinationsOrder matters / does not matter.
• Divisibility and testsBy 2, 3, 5, 9, 10.
• Prime numbersFactorization.
• Remainders and cyclesClocks, last digit.
• Symmetry and ornamentsKirigami.
• Area and perimeterTricky problems.
• Volume and netsCube/prism.
• Big quest: 4 stationsDiplomas!