(:title Singapore Mathematics - Secondary One :) >>&<< [table border=1 width=100% cellpadding=3] [row] [!]Topic/Sub-topic [!]Content [!]Learning Outcomes [row] [ colspan=3]%c12 exa%1 Numbers and Algebra%% [row] []%c11 pra%1.1 Numbers and the four operations%% []Include: * [[GlossaryT/prime|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) [] [row] []%c11 pra%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 [] [row] []%c11 pra%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 [] [row] []%c11 pra%1.4 Speed []Include: * [[InterA/CarRace|concepts of speed, uniform speed and average speed]] * conversion of units (e.g. km/h to m/s) * problems involving speed, uniform speed and average speed [] [row] []%c11 pra%1.5 Algebraic representation and formulae []Include: * using letters to represent numbers * interpreting notations: ** {$ab$} as {$a \times b$} ** %s12%{${a \over b}$}%% 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) [] [row] []%c11 pra%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) [] [row] []%c11 pra%1.7 Functions and graphs []Include: * [[cartcoor|cartesian coordinates in two dimensions]] * graph of a set of ordered pairs * linear relationships between two variables (linear functions) * [[glossaryT/slope|the gradient of a linear graph as the ratio of the vertical change to the horizontal change (positive and negative gradients)]] [] [row] []%c11 pra%1.8 Solutions of equations and inequalities []Include: * solving linear equations in one unknown (including fractional coefficients) * [[GlossaryT/Inequality1|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 [] [row] [ colspan=3]%c12 exa%2 Geometry and Measurement [row] []%c11 pra%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 [row] []%c11 pra%2.2 Mensuration []Include: * area of [[GlossaryT/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 [] [row] [ colspan=3]%c12 exa%3 Statistics and Probability [row] []%c11 pra%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. 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