Numbers, number patterns.

Geometric shapes, shape patterns.

Mapping and Classification: Separating and matching objects according to their properties such as color, size or shape.

Sorting and Comparison: Learning opposite concepts such as big-small, less-much, long-short and ordering objects.

Numbers and Counting: Counting objects, recognizing numbers and establishing the connection between quantity and number.

Geometric Shapes: Recognizing basic shapes such as triangles, squares, circles and rectangles and recognizing their properties.

Measuring and Time: Measuring length, weight, or amount of liquid with non-standard units such as weighing, steps or cups.

Piece-Whole Relationship: Making puzzle and piece joining studies to understand half and all concepts.

Numbers, number patterns.

Geometric shapes, shape patterns.

Spatial Relations: Relationships of objects indicating direction, position and location (under, above, right, left)

Numbers and Operations-Natural Numbers: Decimals and units, digit name and value, rhythmic counting, number patterns.

Addition Process: Hand-held and handless addition, finding the ungiven aggregate, problem solving.

Subtraction Process: The relationship with subtraction by breaking the decimal, subtraction from the mind, addition.

Multiplication: Meaning as repeated addition, multiplication table basics.

Splitting Process: Grouping and sharing logic.

Geometry and Measurement -Geometric Objects and Shapes: Triangle, square, rectangle, circle; edge and corner properties.

Patterns and Decorations: Shape and number patterns.

Measurements: Length (meter, centimeter), mass (kilogram) and liquid measurement units.

Measuring Time: Reading hours (full, half, quarter), day, week, month, year relationship.

Currencies: Turkish lira and kuruş, dollar and cent relationship, shopping problems.

Data and Fractions- Fractions: Whole, half and quarter concepts.

Data: Creating object and shape graphs, interpreting data.

Numbers, number patterns.

Geometric shapes, shape patterns.

Numbers and Operations- Natural Numbers: 4, 5 and 6 digits natural numbers, their pronunciation, spelling and number/digit values.

Addition and Subtraction: Addition and subtraction with natural numbers, prediction and mental operation.

Multiplication and Division: Multiplication and division with natural numbers, shortcut multiplication/division and problem solving.

Fractions: Simple, compound and whole number fractions, comparing fractions and adding/subtracting denominators with equal fractions.

Geometry and Measurement- Geometric Bodies and Shapes: Basic properties and angle measurements of triangle, square, rectangle.

Basic Concepts in Geometry: Point, line, beam, line segment and angle types (narrow, perpendicular, wide, right angle).

Length, Circumference and Area: Millimeter, centimeter, meter, kilometer transformations; circumference and area calculation.

Weighing and Measuring Liquids: Kilograms, grams, liters, milliliter units and problems.

Time Measurement: Hour, minute, second, day, week, month, year relationships and time calculations.

Data and Spatial Relations- Data Collection and Evaluation: Frequency and scoreboard creation, object and column graph interpretation.

Spatial Relationships: Symmetrical line and symmetrical shapes.

Numbers, number patterns.

Geometric shapes, shape patterns.

Numbers and Quantities- Natural Numbers: Millions, digit value, number value and reading/writing.

Multipliers, folds, prime factors, common dividers and common multiples.

Operations with Natural Numbers: Addition, subtraction, multiplication, division, and mental operations.

Fractions: Types of fractions (simple, compound, whole number), comparison and operations in fractions.

Decimal Representations: Addition/subtraction in commas, digit names and decimal numbers.

Percentages: Percent symbol, fraction-decimal-percent relationship.

Algebraic Thinking with OperationsBasic Operations and Problems: Number patterns, finding the value not given.

Algebraic Expressions: Writing expressions with letters and relating to daily life problems.

Numbers and Operations: Factors, multiples, prime factors, common divisors and common multiples.

Sets and whole numbers: Operations with fractions and prediction.

Operations with decimal representations and decimal representations.

The concept of ratio and percentage.

Algebra and Data: Algebraic expressions, patterns and basic algorithms.

Statistical research process, tables, graphs. Measures of central tendency and spread.

Probability experiments and probability value calculation.

Geometry and Measurement: Angles, angles in triangles and quadrilaterals.

Quadrilaterals and area measuring units.

Area of parallelogram and triangle.

The circumference of the circle and the angles in the circle. Length and area measurements.

Geometry and Measurement- Geometric Shapes and Drawings: Point, line, beam, angles and polygons.

Geometric Quantities: Perimeter lengths of triangles and quadrilaterals, area calculations (rectangular area).

Time and Length Measurements: Conversion problems between units of measurement.

Data and Statistics- Data Collection and Evaluation: Asking research questions, frequency table, scoreboard and column chart creation.

Numbers, number patterns.

Geometric shapes, shape patterns.

Numbers and Operations- Multipliers and Factors: Factors of positive

integers, prime factors.

Base Expressions: Integer powers of integers, basic operations with base expressions, scientific representation.

Square Root Expressions and Data Analysis

Square Root Expressions: Complete square numbers, writing a square root number as \(a\sqrt{b}\), four operations in square root expressions, square roots of decimal expressions.

Data Analysis: Interpretation and conversion of line, column and circle graphs.

Probability and Algebraic Expressions- The Probability of Simple Events Happening: Identifying possible situations, "more", "less" or "equal" lucky events, calculating the probabilities of simple events.

Algebraic Expressions and Identities: The product of algebraic expressions, full square and two square difference identities, separation of algebraic expressions into factors.

Equations and Inequalities- Linear Equations: Equations with a first degree unknown, coordinate system, linear relationships, slope of the line.

Inequalities: Symbolic representation of inequalities with a first-order unknown and drawing in the number line.

Triangles and Transformation Geometry- Triangles: Elements of a triangle (medium, angle, height), triangle inequality, Pythagorean relation in a right triangle.

Transformation Geometry: Displacement and reflection movements of points and shapes, transformations in the coordinate system.

Geometric Bodies- Parity and Similarity: Polygons's companity, similarity and similarity ratio.

Geometric Bodies: Perpendicular prisms, perpendicular circular cylinder, properties of perpendicular pyramid and perpendicular cone, surface areas and volume relationships.