Singapore Primary 5 School Syllabus - Mathematics (Standard Level)

This syllabus outlines the learning objectives for Primary 5 Standard Mathematics in Singapore. It is organized into three content strands: Number and Algebra, Measurement and Geometry, and Statistics.

Number and Algebra

• Whole Numbers:
• Reading and writing numbers up to 10 million in numerals and words.
• Four Operations:
• Multiplying and dividing by 10, 100, 1000, and their multiples without a calculator.
• Order of operations without a calculator.
• Use of brackets without a calculator.
• Fractions:
• Fraction and Division:
• Dividing a whole number by a whole number with the quotient as a fraction.
• Expressing fractions as decimals.
• Four Operations:
• Adding and subtracting mixed numbers.
• Multiplying a proper/improper fraction and a whole number without a calculator.
• Multiplying a proper fraction and a proper/improper fraction without a calculator.
• Multiplying two improper fractions.
• Multiplying a mixed number and a whole number.
• Decimals:
• Four Operations:
• Multiplying and dividing decimals (up to 3 decimal places) by 10, 100, 1000, and their multiples without a calculator.
• Converting a measurement from a smaller unit to a larger unit in decimal form, and vice versa (kilometres and metres, metres and centimetres, kilograms and grams, litres and millilitres).
• Percentage:
• Expressing a part of a whole as a percentage.
• Use of the percent symbol (%).
• Finding a percentage part of a whole.
• Finding discount, GST, and annual interest.
• Rate:
• Understanding rate as the amount of a quantity per unit of another quantity.
• Finding rate, total amount, or number of units given the other two quantities.

Measurement and Geometry

• Area and Volume:
• Area of Triangle:
• Concepts of base and height of a triangle.
• Calculating the area of a triangle.
• Finding the area of composite figures made up of rectangles, squares, and triangles.
• Volume of Cube and Cuboid:
• Building solids with unit cubes.
• Measuring volume in cubic units (cm³ and m³), excluding conversion between cm³ and m³.
• Drawing cubes and cuboids on isometric grid.
• Calculating the volume of a cube/cuboid.
• Finding the volume of liquid in a rectangular tank.
• Relationship between litres (or millilitres) and cm³.
• Geometry:
• Angles:
• Angles on a straight line.
• Angles at a point.
• Vertically opposite angles.
• Finding unknown angles.
• Triangle:
• Properties of isosceles, equilateral, and right-angled triangles.
• Angle sum of a triangle.
• Finding unknown angles without additional construction of lines.
• Parallelogram, Rhombus, and Trapezium:
• Properties of parallelogram, rhombus, and trapezium.
• Finding unknown angles without additional construction of lines.

Statistics

No specific sub-strands are listed under Statistics for Primary 5 Standard Mathematics in the provided document. This suggests that data analysis and related statistical concepts are integrated within other topics or covered in earlier levels.