Singapore · MOE Syllabus Outcomes
Primary 5 Mathematics
A comprehensive curriculum designed to bridge concrete understanding and abstract mathematical reasoning. Students develop fluency in complex operations, spatial visualization, and proportional thinking through rigorous problem solving.

The Power of Number and Operations
Developing deep fluency with whole numbers up to 10 million and mastering the order of operations.
Understanding the place value system and the magnitude of large numbers in real world contexts.
Applying the rules of precedence to solve multi step numerical expressions accurately.
Exploring patterns when multiplying or dividing by 10, 100, and 1000.

Fractional Fluency and Operations
Moving beyond basic identification to performing complex operations and modeling with fractions.
Computing sums and differences of fractions with different denominators and mixed numbers.
Understanding the concept of taking a fraction of a whole number or another fraction.
Dividing a whole number by a unit fraction and understanding the reciprocal relationship.

Proportional Reasoning: Ratio and Percentage
Connecting the concepts of parts and wholes through ratios and the language of percent.
Using ratio notation to compare two or more quantities and finding equivalent ratios.
Expressing fractions and decimals as percentages and calculating percentages of a quantity.
Applying ratio and percentage knowledge to solve complex, real world problems.

Decimals and Measurement
Extending place value to thousandths and applying decimal operations to units of measure.
Understanding thousandths and comparing/ordering decimals of different lengths.
Performing operations with decimals and whole numbers, focusing on decimal point placement.
Converting between different units of length, mass, and volume using decimal notation.

Geometry: Angles and Triangles
Exploring the properties of lines and shapes, focusing on angle relationships and triangle classification.
Finding unknown angles using the properties of adjacent angles, vertically opposite angles, and angles at a point.
Classifying triangles by sides and angles and understanding the sum of interior angles.
Identifying and using the properties of special quadrilaterals to find unknown angles.

Area, Volume, and Data
Calculating the space occupied by 2D and 3D shapes and interpreting statistical data.
Understanding volume as the amount of space occupied and calculating it for rectangular prisms.
Calculating the arithmetic mean and interpreting line graphs to identify trends.