Singapore · MOE Syllabus Outcomes
Secondary 1 Mathematics
This course transitions students from primary heuristics to formal secondary mathematics. It emphasizes the structural properties of numbers, the abstraction of algebra, and the logical rigor of geometric proofs.
The Architecture of Numbers
Exploration of number theory including primes, factors, and the real number system. Students move beyond computation to understand the properties that govern numerical relationships.
Investigating the fundamental theorem of arithmetic and the significance of prime numbers in cryptography and mathematics.
Understanding the geometric representation of powers and roots and their application in spatial dimensions.
Classifying numbers into rational and irrational sets and understanding the density of the number line.
The Language of Algebra
Introduction to algebraic notation and the manipulation of expressions. Students learn to translate real world scenarios into mathematical models.
Transitioning from concrete arithmetic to abstract representation using letters to represent generalized numbers.
Solving first degree equations and understanding the concept of equality as a balance.
Applying algebraic rules to scientific and financial contexts through the use of formulas.
Proportionality and Relationships
Developing a deep understanding of ratios, percentages, and rates to analyze comparisons in various contexts.
Analyzing the relationship between two quantities and the application of scale in maps and models.
Using percentages to solve problems involving profit, loss, discount, and taxation.
Calculating and interpreting rates of change in time, distance, and monetary contexts.
Geometry and Spatial Logic
Investigating the properties of angles, triangles, and quadrilaterals through construction and deduction.
Understanding the relationships between angles on a line, at a point, and with parallel lines.
Classifying shapes based on their interior angles and rotational symmetry.
Using a compass and protractor to create precise bisectors and triangles.
Mensuration of Figures
Calculating the perimeter, area, and volume of 2D and 3D shapes including circles and prisms.
Exploring the unique relationship between the diameter, circumference, and area of a circle.
Extending area concepts into the third dimension to calculate capacity.
Data Interpretation and Analysis
Collection and representation of data to draw meaningful conclusions and identify trends.
Creating and analyzing bar charts, pie charts, and line graphs.
Calculating the mean, median, and mode to summarize data sets.
Evaluating the validity of statistical claims found in media and reports.