The first semester of 5th grade mathematics using the curriculum focuses on transitioning students from primary school arithmetic to more abstract mathematical concepts. Control works during this period serve as critical checkpoints for students' understanding of natural numbers, geometric basics, and the introductory "mathematical language". Core Topics Covered in the First Semester

: A major shift in the Zubareva curriculum is the early introduction of variables. Control works include tasks to simplify expressions (e.g., ) and find their values given a specific variable.

: Expressions involving brackets and all four operations (e.g., Equations : Solving linear equations such as

: Understanding terms like "ray," "segment," "line," and "coordinate ray" is essential. Practical tasks often involve drawing circles with a given radius or plotting points on a coordinate line.