Kisi Kisi OSN MATEMATIKA SMA 2026

Overview of OSN Mathematics Curriculum for High School 2026

Introduction to the Discussion

• The session is hosted by Candela Course, focusing on the mathematics curriculum for the OSN (Olimpiade Sains Nasional) in high school for the year 2026.

• Viewers are encouraged to reach out via Instagram for PDF resources or training sessions and can find book recommendations linked in the video.

Key Topics Covered in Algebra

• The algebra section includes real number systems, operations of addition and multiplication, properties of order, and trichotomy.

• Inequalities are discussed with a focus on using properties such as non-negativity of squares to solve problems related to quadratic means and arithmetic means.

• Absolute values are introduced along with their definitions, properties, and applications in equations and inequalities.

Polynomial Functions

• Polynomial topics include division algorithms, remainder theorem, factor theorem, Vieta's formulas, and symmetric properties of roots.

• Function concepts cover definitions, properties of functions including composition and inverses, as well as finding specific functions that meet certain criteria.

Geometry Concepts

• Geometric relationships between lines and points are explored alongside planar figures like triangles, quadrilaterals, regular polygons, circles; emphasizing similarity and congruence.

• Special triangle properties such as medians, altitudes, angle bisectors are highlighted along with Menelaus' theorem and Ceva's theorem.

Circle Relationships

• Discusses circle-point relationships including power of a point theorem; interactions between circles such as tangents or intersections at one or two points.

Trigonometry & Combinatorics

• Trigonometric principles covering ratios, functions, equations, identities are outlined.

• Combinatorial principles include counting principles (addition/multiplication), permutations/combinations; also discusses pigeonhole principle and parity principles.

Number Theory Insights

• Number theory covers integer systems including operations' properties; divisibility concepts like greatest common divisor (GCD), least common multiple (LCM), prime numbers basics.