(: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.
[]
[tableend]
>>&<<
----
>>&<<
[table width=100% border=0]
[row]
[][[Sg/| Attach:main/tri_purple_up_a.gif ]] [[Sg/| Up one level]]
[r](:html:)
(:htmlend:)
[tableend]