# Singapore Mathematics - Secondary One

Topic/Sub-topic Content Learning Outcomes
1 Numbers and Algebra
1.1 Numbers and the four operations Include:
• primes and prime factorisation
• finding HCF and LCM, squares, cubes, square roots and cube roots by prime factorisation
• negative numbers, integers, rational numbers, real numbers and their four operations
• calculations with the use of a calculator
• representation and ordering of numbers on the number line
• use of the symbols <, >, ≤, ≥
• approximation and estimation (including rounding off numbers to a required number of decimal places or significant figures, estimating the results of computation, and concepts of rounding and truncation errors)
1.2 Ratio, rate and proportion Include:
• ratios involving rational numbers
• writing a ratio in its simplest form
• average rate
• problems involving ratio and rate
1.3 Percentage Include:
• expressing one quantity as a percentage of another
• comparing two quantities by percentage
• percentages greater than 100%
• increasing/decreasing a quantity by a given percentage
• reverse percentages
• problems involving percentages
1.4 Speed Include:
1.5 Algebraic representation and formulae Include:
• using letters to represent numbers
• interpreting notations:
• ab as a \times b
• {a \over b} as a \div b
• a^2 as a \times a , a^3 as a \times a \times a , a^2b as a \times a \times b...
• 3y as y + y + y or 3 /times y
• {{3 \pm y} \over 5} as {{(3 \pm y)} \div 5} or {1 \over 5}\times {(3 \pm y)}
• evaluation of algebraic expressions and formulae
• translation of simple real-world situations into algebraic expressions
• recognising and representing number patterns (including finding an algebraic expression for the nth term)
1.6 Algebraic manipulation Include:
• addition and subtraction of linear algebraic expressions
• simplification of linear algebraic expressions, e.g.
• − 2(3x − 5) + 4x
• {2x \over 3}-{3(x-5) \over 2}
• factorisation of linear algebraic expressions of the form
• ax + ay (where a is a constant)
• ax + bx + kay + kby (where a , b and k are constants)
1.7 Functions and graphs Include:
1.8 Solutions of equations and inequalities Include:
• solving linear equations in one unknown (including fractional coefficients)
• solving simple inequality (e.g. 3x \le 5 )
• solving simple fractional equations that can be reduced to linear equations, e.g.
• {x \over 3}+{x-2 \over 4}=3
• {3 \over x-2}=6
• formulating a linear equation in one unknown to solve problems
2 Geometry and Measurement
2.1 Angles, triangles and polygons Include:
• right, acute, obtuse and reflex angles, complementary and supplementary angles, vertically opposite angles, adjacent angles on a straight line, adjacent angles at a point, interior and exterior angles
• angles formed by two parallel lines and a transversal: corresponding angles, alternate angles, interior angles
• properties of triangles and special quadrilaterals
• classifying special quadrilaterals on the basis of their properties
• angle sum of interior and exterior angles of any convex polygon
• properties of regular pentagon, hexagon, octagon and decagon
• properties of perpendicular bisectors of line segments and angle bisectors
• construction of simple geometrical figures from given data (including perpendicular bisectors and angle bisectors) using compasses, ruler, set squares and protractors, where appropriate
2.2 Mensuration Include:
• area of parallelogram and trapezium
• problems involving perimeter and area of composite plane figures (including triangle and circle)
• volume and surface area of cube, cuboid, prism and cylinder
• conversion between cm2 and m2 , and between cm3 and m3
• problems involving volume and surface area of composite solids
3 Statistics and Probability
3.1 Data handling Include:
• data collection methods such as:
• taking measurements, conducting surveys, classifying data, reading results of observations/outcomes of events
• construction and interpretation of:
• tables, bar graphs, pictograms, line graphs, pie charts, histograms
• purposes and use, advantages and disadvantages of the different forms of statistical representations
• drawing simple inference from statistical diagrams

Exclude:

• histograms with unequal intervals.