Singapore Primary 4 Mathematics Syllabus - Course Entries

Whole Numbers

• Numbers up to 100,000: Students learn number notation, representations, place values (ten thousands, thousands, hundreds, tens, ones), reading and writing numbers in numerals and words, comparing and ordering numbers, number patterns, and rounding to the nearest 10, 100, or 1000. Students should have opportunities to work with large numbers in context, estimate quantities, and explore number patterns.
• Factors and Multiples: Students learn about factors, multiples, their relationship, finding common factors and multiples, and applying these concepts to problem-solving. Students should connect these concepts to multiplication and division, and explore their application in simplifying fractions and finding common denominators.
• Four Operations: Students learn multiplication and division algorithms (up to 4 digits by 1 digit and up to 3 digits by 2 digits respectively), solving up to 3-step word problems involving all four operations, and mental math strategies. Students should apply these skills to real-world problems, estimate answers, and explore different problem-solving heuristics.

Fractions

• Mixed Numbers and Improper Fractions: Students learn about mixed numbers, improper fractions, their relationship, and converting between them. Students should represent and interpret fractions greater than one, compare fractions, and develop fluency in converting between mixed numbers and improper fractions.
• Fraction of a Set of Objects: Students learn to interpret fractions as part of a set and apply this concept to problem-solving. Students should connect fractions of sets to real-world situations and use visual models to illustrate these concepts.
• Addition and Subtraction of Fractions: Students learn to add and subtract fractions with denominators up to 12 (and not more than two different denominators), including those with answers greater than one, and solve up to 2-step word problems. Students should use visual models to understand these operations and apply their skills to real-world problems.

Decimals

• Decimals up to 3 Decimal Places: Students learn decimal notation, representations, place values (tenths, hundredths, thousandths), comparing and ordering decimals, converting between decimals and fractions, dividing whole numbers to get decimal quotients, and rounding decimals. Students should connect decimals to fractions and measurement, work with decimals in context, and develop fluency in comparing and ordering decimals.
• Addition and Subtraction of Decimals: Students learn to add and subtract decimals (up to 2 decimal places) and apply these skills to problem-solving. Students should connect these operations to the corresponding operations with whole numbers, use mental math strategies, and work with decimals in real-world contexts like shopping and budgeting.
• Multiplication and Division of Decimals: Students learn to multiply and divide decimals (up to 2 decimal places) by 1-digit whole numbers, solve up to 2-step word problems involving all four operations, and round answers to a specified degree of accuracy. Students should connect these operations to the corresponding operations with whole numbers, estimate answers, and apply their skills to real-world problems.

Measurement and Geometry

• Time: Students learn to measure time in seconds, use the 24-hour clock, and solve problems involving time. Students should develop a sense of time units, work with time in different formats, and apply their skills to real-world scheduling and time management problems.
• Area and Perimeter: Students learn to find one dimension of a rectangle given its area/perimeter and the other dimension, find the side length of a square given its area/perimeter, find the area and perimeter of composite figures made of rectangles and squares. Students should apply their understanding of area and perimeter to problem-solving, including composite figures and real-world situations.
• Angles: Students learn to use angle notation (∠ABC, ∠a), measure angles in degrees, draw angles of a given size, relate turns to angles in degrees, and explore angles on a straight line, angles at a point, and vertically opposite angles. Students should develop a strong understanding of angle concepts, use protractors effectively, and apply angle properties to find unknown angles.
• Rectangle and Square: Students learn properties of rectangles and squares (excluding diagonal properties) and how to draw them on a square grid. Students should connect properties of rectangles and squares to perpendicular and parallel lines, explore different orientations through rotations, and accurately draw these shapes.
• Line Symmetry: Students learn to identify symmetric figures, determine lines of symmetry, and complete symmetric figures on a square grid. Students should explore symmetry in real-world objects, understand the relationship between reflections and lines of symmetry, and develop visualization skills related to symmetry.

Statistics

• Tables and Line Graphs: Students learn to complete tables from given data, read and interpret data from tables and line graphs, and solve 1-step problems using this data. Students should connect tables and graphs to different data representations, analyze data presented in various forms, and apply their understanding to problem-solving.