Figures on a plane, polygons, and the concept of equality of figures.

Notation of natural numbers, exponentiation (powers), and numeral systems. Chapter 5: Addition and Subtraction of Natural Numbers Chapter 6: Rays and Lines Chapter 7: Multiplication of Natural Numbers Chapter 8: Angles Chapter 9: Division of Natural Numbers Chapter 10: Right-Angled Triangles Chapter 11: Fractions Introduction to fractional numbers and their properties. Chapter 12: Area Chapter 13: Decimal Fractions Operations and properties of decimals. Key Features of the UMK (Educational-Methodical Complex)

The material emphasizes the unity of mathematics—linking arithmetic, algebra, and geometry—while developing practical skills like reading diagrams and using formulas.

The "Mathematics 5th Grade" textbook published by Russkoe Slovo (edited by V.V. Kozlov and A.A. Nikitin) follows a structured approach that integrates arithmetic and geometry.

Part of the "Innovative School" (Инновационная школа) series, which is aligned with Russian Federal Educational Standards (FGOS).

Developed by a team of academics including V.V. Kozlov and A.A. Nikitin.