Ukraine Class 1 School Syllabus - Mathematics

This syllabus outlines the expected learning outcomes and training content for Class 1 Mathematics in Ukraine, based on the curriculum approved by the Ministry of Education and Science of Ukraine.

Numbers, Actions with Numbers, and Quantities:

• Numbering: Students will learn numbers from 0 to 100, including counting, reading, writing, and forming numbers in various ways. They will understand the concept of a dozen and identify tens and units in two-digit numbers. Comparison of numbers will also be covered.
• Arithmetic Operations: Students will learn addition and subtraction within 10, understanding the meaning of these operations and their components (addends, sum, minuend, subtrahend, difference). They will also learn the permutable law of addition and the relationship between addition and subtraction. Finding an unknown addend will also be covered.
• Quantities and Measurement: Students will learn about length, mass, capacity, and time, including their units of measurement (centimeter, decimeter, meter, kilogram, liter, hour, day, week). They will practice measuring and comparing these quantities using tools.
• Money: Students will be introduced to the concept of money (hryvnia and kopeck) and practice using it in simulated buying and selling situations.

Expressions of Equality, Equality, and Inequality:

• Sum and Remainder: Students will learn to read and write mathematical expressions involving sum and remainder.
• Expressions on 1-2 Actions: Calculating the value of expressions involving one or two actions will be covered.
• Numerical Equality and Inequality: Students will learn to establish relationships of equality and inequality between numbers and numerical expressions.

Geometric Shapes:

• Spatial Orientation: Students will develop spatial reasoning skills by describing and depicting the placement, direction, and movement of objects.
• Geometric Figures: Recognizing and naming geometric figures (triangle, quadrilateral, square, circle) and their essential features will be covered. Students will also learn about points, lines, rays, sections, polylines, and 3D shapes like cubes, balls, cylinders, cones, and pyramids. They will correlate real-world objects with geometric models and images.
• Measurement and Construction: Measuring the length of segments and drawing segments of a given length will be practiced.

Mathematical Problems and Studies:

• Story Problems: Students will solve simple story problems that model real-life situations, including creating auxiliary models and assessing the correctness of solutions.
• Mathematical Patterns: Elementary studies of mathematical patterns will be introduced with teacher guidance.

Data Handling:

• Data Representation: Students will learn to read data from schematic figures and tables.
• Data Entry: Entering data into schemes will be practiced.
• Data Use: Using data to solve practical problems will be explored.

Additional Topics:

The curriculum also includes additional topics such as signs and properties of objects, grouping and classification, addition and subtraction of two-digit numbers without regrouping, converting between units of measurement, true/false statements, symmetry, and more.