Ukraine Primary School Curriculum - Mathematics (Year 3)

This information is derived from the Ukrainian Ministry of Education and Science curriculum guidelines.

Numbers, Actions with Numbers, and Quantities

• Numbering: Students will learn to sequence, read, and write numbers up to 1000, understand place value (hundreds, tens, ones), and represent numbers as sums of their place values.
• Addition and Subtraction: Students will perform addition and subtraction within 1000, both mentally and in writing, including with round numbers. They will also learn to estimate and check their calculations.
• Multiplication and Division: Students will grasp the concepts of multiplication and division, learn multiplication and division facts (including special cases with 0 and 1, and division of equal numbers), and perform calculations within 1000, including division with remainders. They will also learn to estimate and check their work.
• Multiple Comparisons: Students will understand and calculate multiple comparisons (e.g., finding a number several times greater or smaller than a given number).
• Finding Unknown Components: Students will learn to find unknown components in multiplication and division equations.
• Fractions: Students will be introduced to fractions with a numerator of 1, learn to compare them using visual aids, and understand the concepts of numerator and denominator. They will also apply this knowledge to find parts of numbers and whole numbers from given fractions.
• Measurements: Students will learn about units of length (centimeter, decimeter, meter), mass (kilogram, centigram), capacity (liter), and time (day, week, hour, minute, second, month, year), and the relationships between them. They will practice measuring, comparing, and converting between units.
• Interrelated Quantities: Students will explore groups of interrelated quantities, such as price, quantity, and value in buying and selling situations, and productivity, work time, and total production in work-related scenarios. They will learn to find one quantity given the other two.
• Dependence of Quantities: Students will explore the relationships between quantities and learn to predict and compare results.
• Polygon Perimeter: Students will understand the concept of perimeter and learn to calculate the perimeter of rectangles and squares.

Expressions of Equality, Equality, and Inequality

• Mathematical Expressions: Students will learn to read and write mathematical expressions using symbols, including both numeric and letter expressions.
• Numerical Equality and Inequality: Students will learn to set up and evaluate equalities and inequalities between numbers and numerical expressions, differentiating between true and false statements.
• Order of Operations: Students will apply the order of operations in expressions with and without parentheses.
• Equations and Inequalities: Students will understand the concepts of equations and their solutions, solve equations based on finding unknown components, and explore inequalities with variables, finding individual solutions.

Geometric Shapes

• Shapes on a Plane and in Space: Students will develop spatial reasoning skills, moving and planning routes on a plane and in space, and relating real objects to geometric figures and their models.
• Constructing Shapes: Students will learn to construct rectangles, squares, and circles using a compass.
• Elements of Shapes: Students will identify and name elements of geometric shapes, including the center, radius, and diameter of circles.

Mathematical Problems and Studies

• Story Problems: Students will solve simple and complex story problems, including those with geometric content and real-world applications.
• Problem Solving Process: Students will learn to create auxiliary models, select relevant data, plan solutions, create mathematical models, and check their work.
• Studies: Students will conduct elementary studies of mathematical patterns and dependencies.

Data Handling

• Reading and Interpreting Data: Students will learn to read and interpret data from tables, graphs, schematic representations, and diagrams.
• Using Data: Students will select and use data to solve practical problems.

Extra Topics for Year 3:

• Rational methods for multiplication and division.
• Divisibility rules for 2, 5, and 10.
• Solving equations with numerical expressions and variables.
• Solving inequalities with variables.
• Compound problems with indirect formulations.
• Complex problems with alphabetic data.
• Using the algebraic method to solve complex story problems.
• Non-standard and logical problems.
• Creating line charts.